[{"date_created":"2024-02-07T07:23:23Z","department":[{"_id":"101"}],"keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization"],"type":"journal_article","citation":{"bibtex":"@article{Gebken_2024, title={A note on the convergence of deterministic gradient sampling in nonsmooth optimization}, DOI={<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>}, journal={Computational Optimization and Applications}, publisher={Springer Science and Business Media LLC}, author={Gebken, Bennet}, year={2024} }","ama":"Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. <i>Computational Optimization and Applications</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>","mla":"Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” <i>Computational Optimization and Applications</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>.","chicago":"Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” <i>Computational Optimization and Applications</i>, 2024. <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">https://doi.org/10.1007/s10589-024-00552-0</a>.","short":"B. Gebken, Computational Optimization and Applications (2024).","ieee":"B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” <i>Computational Optimization and Applications</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">10.1007/s10589-024-00552-0</a>.","apa":"Gebken, B. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. <i>Computational Optimization and Applications</i>. <a href=\"https://doi.org/10.1007/s10589-024-00552-0\">https://doi.org/10.1007/s10589-024-00552-0</a>"},"publication":"Computational Optimization and Applications","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Approximation of subdifferentials is one of the main tasks when computing descent directions for nonsmooth optimization problems. In this article, we propose a bisection method for weakly lower semismooth functions which is able to compute new subgradients that improve a given approximation in case a direction with insufficient descent was computed. Combined with a recently proposed deterministic gradient sampling approach, this yields a deterministic and provably convergent way to approximate subdifferentials for computing descent directions.</jats:p>"}],"_id":"51208","publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}],"doi":"10.1007/s10589-024-00552-0","user_id":"32643","publication_identifier":{"issn":["0926-6003","1573-2894"]},"author":[{"last_name":"Gebken","first_name":"Bennet","full_name":"Gebken, Bennet","id":"32643"}],"title":"A note on the convergence of deterministic gradient sampling in nonsmooth optimization","year":"2024","status":"public","date_updated":"2024-02-08T08:05:54Z","publication_status":"published"},{"citation":{"ama":"Lenz P, Mahnken R. Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. <i>International Journal of Solids and Structures</i>. 2024;290. doi:<a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">10.1016/j.ijsolstr.2023.112642</a>","bibtex":"@article{Lenz_Mahnken_2024, title={Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains}, volume={290}, DOI={<a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">10.1016/j.ijsolstr.2023.112642</a>}, number={112642}, journal={International Journal of Solids and Structures}, publisher={Elsevier BV}, author={Lenz, Peter and Mahnken, Rolf}, year={2024} }","mla":"Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” <i>International Journal of Solids and Structures</i>, vol. 290, 112642, Elsevier BV, 2024, doi:<a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">10.1016/j.ijsolstr.2023.112642</a>.","chicago":"Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” <i>International Journal of Solids and Structures</i> 290 (2024). <a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">https://doi.org/10.1016/j.ijsolstr.2023.112642</a>.","short":"P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024).","apa":"Lenz, P., &#38; Mahnken, R. (2024). Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. <i>International Journal of Solids and Structures</i>, <i>290</i>, Article 112642. <a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">https://doi.org/10.1016/j.ijsolstr.2023.112642</a>","ieee":"P. Lenz and R. Mahnken, “Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains,” <i>International Journal of Solids and Structures</i>, vol. 290, Art. no. 112642, 2024, doi: <a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">10.1016/j.ijsolstr.2023.112642</a>."},"quality_controlled":"1","publisher":"Elsevier BV","_id":"52218","user_id":"335","volume":290,"status":"public","date_created":"2024-02-29T13:57:56Z","type":"journal_article","keyword":["Applied Mathematics","Mechanical Engineering","Mechanics of Materials","Condensed Matter Physics","General Materials Science","Modeling and Simulation"],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"publication":"International Journal of Solids and Structures","article_number":"112642","language":[{"iso":"eng"}],"doi":"10.1016/j.ijsolstr.2023.112642","title":"Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains","year":"2024","publication_identifier":{"issn":["0020-7683"]},"author":[{"first_name":"Peter","last_name":"Lenz","full_name":"Lenz, Peter"},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"}],"date_updated":"2024-02-29T13:58:14Z","publication_status":"published","intvolume":"       290"},{"_id":"52233","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","user_id":"335","doi":"10.1007/s00466-024-02442-y","author":[{"last_name":"Mahnken","first_name":"Rolf","full_name":"Mahnken, Rolf","id":"335"},{"full_name":"Westermann, Hendrik","orcid":"0000-0002-5034-9708","first_name":"Hendrik","last_name":"Westermann","id":"60816"}],"publication_identifier":{"issn":["0178-7675","1432-0924"]},"year":"2024","status":"public","title":"Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods","publication_status":"published","date_updated":"2024-03-19T12:14:07Z","date_created":"2024-03-03T13:23:28Z","department":[{"_id":"154"},{"_id":"321"}],"keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"type":"journal_article","citation":{"chicago":"Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>, 2024. <a href=\"https://doi.org/10.1007/s00466-024-02442-y\">https://doi.org/10.1007/s00466-024-02442-y</a>.","short":"R. Mahnken, H. Westermann, Computational Mechanics (2024).","ieee":"R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods,” <i>Computational Mechanics</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s00466-024-02442-y\">10.1007/s00466-024-02442-y</a>.","apa":"Mahnken, R., &#38; Westermann, H. (2024). Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>. <a href=\"https://doi.org/10.1007/s00466-024-02442-y\">https://doi.org/10.1007/s00466-024-02442-y</a>","bibtex":"@article{Mahnken_Westermann_2024, title={Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods}, DOI={<a href=\"https://doi.org/10.1007/s00466-024-02442-y\">10.1007/s00466-024-02442-y</a>}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf and Westermann, Hendrik}, year={2024} }","ama":"Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s00466-024-02442-y\">10.1007/s00466-024-02442-y</a>","mla":"Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s00466-024-02442-y\">10.1007/s00466-024-02442-y</a>."},"publication":"Computational Mechanics","quality_controlled":"1","abstract":[{"text":"ELDIRK methods are defined to have an <jats:italic>Explicit Last</jats:italic> stage in the general Butcher array of <jats:italic>Diagonal Implicit Runge-Kutta</jats:italic> methods, with the consequence, that no additional system of equations must be solved, compared to the embedded RK method. Two general formulations for second- and third-order ELDIRK methods have been obtained recently in Mahnken [21] with specific schemes,  e.g. for the embedded implicit Euler method, the embedded trapezoidal-rule and the embedded Ellsiepen method. In the first part of this paper, we investigate some general stability characteristics of ELDIRK methods, and it will be shown that the above specific RK schemes are not A-stable. Therefore, in the second part, the above-mentioned general formulations are used for further stability investigations, with the aim to construct new second- and third-order ELDIRK methods which simultaneously are A-stable. Two numerical examples are concerned with the curing for a thermosetting material and phase-field RVE modeling for crystallinity and orientation. The numerical results confirm the theoretical results on convergence order and stability.","lang":"eng"}]},{"external_id":{"arxiv":["2309.02006"]},"oa":"1","file_date_updated":"2024-03-22T09:06:07Z","citation":{"mla":"Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i>, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>.","bibtex":"@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network dynamical systems with higher-order interactions}, volume={12}, DOI={<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>}, number={2}, journal={Journal of Complex Networks}, publisher={Oxford University Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024} }","ama":"Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>. 2024;12(2). doi:<a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>","ieee":"C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” <i>Journal of Complex Networks</i>, vol. 12, no. 2, 2024, doi: <a href=\"https://doi.org/10.1093/comnet/cnae009\">10.1093/comnet/cnae009</a>.","apa":"Bick, C., &#38; von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>, <i>12</i>(2). <a href=\"https://doi.org/10.1093/comnet/cnae009\">https://doi.org/10.1093/comnet/cnae009</a>","chicago":"Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i> 12, no. 2 (2024). <a href=\"https://doi.org/10.1093/comnet/cnae009\">https://doi.org/10.1093/comnet/cnae009</a>.","short":"C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024)."},"publisher":"Oxford University Press (OUP)","_id":"52726","ddc":["510"],"user_id":"97359","volume":12,"status":"public","has_accepted_license":"1","file":[{"content_type":"application/pdf","success":1,"file_id":"52728","date_updated":"2024-03-22T09:06:07Z","relation":"main_file","access_level":"closed","file_size":649155,"file_name":"heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf","date_created":"2024-03-22T09:06:07Z","creator":"svdg"}],"date_created":"2024-03-22T09:04:57Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization","Management Science and Operations Research","Computer Networks and Communications"],"department":[{"_id":"101"}],"publication":"Journal of Complex Networks","issue":"2","abstract":[{"lang":"eng","text":"Heteroclinic structures organize global features of dynamical systems. We analyse whether heteroclinic structures can arise in network dynamics with higher-order interactions which describe the nonlinear interactions between three or more units. We find that while commonly analysed model equations such as network dynamics on undirected hypergraphs may be useful to describe local dynamics such as cluster synchronization, they give rise to obstructions that allow to design of heteroclinic structures in phase space. By contrast, directed hypergraphs break the homogeneity and lead to vector fields that support heteroclinic structures."}],"main_file_link":[{"url":"https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf","open_access":"1"}],"language":[{"iso":"eng"}],"doi":"10.1093/comnet/cnae009","title":"Heteroclinic dynamics in network dynamical systems with higher-order interactions","year":"2024","author":[{"full_name":"Bick, Christian","last_name":"Bick","first_name":"Christian"},{"last_name":"von der Gracht","first_name":"Sören","orcid":"0000-0002-8054-2058","full_name":"von der Gracht, Sören","id":"97359"}],"publication_identifier":{"issn":["2051-1329"]},"date_updated":"2024-03-22T09:11:53Z","publication_status":"published","intvolume":"        12","article_type":"original"},{"keyword":["Applied Mathematics","Analysis"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2024-04-05T13:55:33Z","issue":"2","publication":"Journal of Mathematical Analysis and Applications","doi":"10.1016/j.jmaa.2024.128125","article_number":"128125","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-09-03T14:40:46Z","intvolume":"       535","title":"Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting","year":"2024","publication_identifier":{"issn":["0022-247X"]},"author":[{"id":"55911","full_name":"Brennecken, Dominik","first_name":"Dominik","last_name":"Brennecken"}],"citation":{"short":"D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024).","chicago":"Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions in the Dunkl Setting.” <i>Journal of Mathematical Analysis and Applications</i> 535, no. 2 (2024). <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">https://doi.org/10.1016/j.jmaa.2024.128125</a>.","apa":"Brennecken, D. (2024). Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting. <i>Journal of Mathematical Analysis and Applications</i>, <i>535</i>(2), Article 128125. <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">https://doi.org/10.1016/j.jmaa.2024.128125</a>","ieee":"D. Brennecken, “Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 535, no. 2, Art. no. 128125, 2024, doi: <a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>.","ama":"Brennecken D. Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting. <i>Journal of Mathematical Analysis and Applications</i>. 2024;535(2). doi:<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>","bibtex":"@article{Brennecken_2024, title={Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting}, volume={535}, DOI={<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>}, number={2128125}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Brennecken, Dominik}, year={2024} }","mla":"Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions in the Dunkl Setting.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 535, no. 2, 128125, Elsevier BV, 2024, doi:<a href=\"https://doi.org/10.1016/j.jmaa.2024.128125\">10.1016/j.jmaa.2024.128125</a>."},"user_id":"55911","volume":535,"_id":"53300","publisher":"Elsevier BV","status":"public"},{"citation":{"ieee":"C. Zietlow and J. K. N. Lindner, “ADMM-TGV image restoration for scientific applications with unbiased parameter choice,” <i>Numerical Algorithms</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11075-024-01759-2\">10.1007/s11075-024-01759-2</a>.","apa":"Zietlow, C., &#38; Lindner, J. K. N. (2024). ADMM-TGV image restoration for scientific applications with unbiased parameter choice. <i>Numerical Algorithms</i>. <a href=\"https://doi.org/10.1007/s11075-024-01759-2\">https://doi.org/10.1007/s11075-024-01759-2</a>","chicago":"Zietlow, Christian, and Jörg K. N. Lindner. “ADMM-TGV Image Restoration for Scientific Applications with Unbiased Parameter Choice.” <i>Numerical Algorithms</i>, 2024. <a href=\"https://doi.org/10.1007/s11075-024-01759-2\">https://doi.org/10.1007/s11075-024-01759-2</a>.","short":"C. Zietlow, J.K.N. Lindner, Numerical Algorithms (2024).","mla":"Zietlow, Christian, and Jörg K. N. Lindner. “ADMM-TGV Image Restoration for Scientific Applications with Unbiased Parameter Choice.” <i>Numerical Algorithms</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s11075-024-01759-2\">10.1007/s11075-024-01759-2</a>.","bibtex":"@article{Zietlow_Lindner_2024, title={ADMM-TGV image restoration for scientific applications with unbiased parameter choice}, DOI={<a href=\"https://doi.org/10.1007/s11075-024-01759-2\">10.1007/s11075-024-01759-2</a>}, journal={Numerical Algorithms}, publisher={Springer Science and Business Media LLC}, author={Zietlow, Christian and Lindner, Jörg K. N.}, year={2024} }","ama":"Zietlow C, Lindner JKN. ADMM-TGV image restoration for scientific applications with unbiased parameter choice. <i>Numerical Algorithms</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11075-024-01759-2\">10.1007/s11075-024-01759-2</a>"},"publication":"Numerical Algorithms","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Image restoration via alternating direction method of multipliers (ADMM) has gained large interest within the last decade. Solving standard problems of Gaussian and Poisson noise, the set of “Total Variation” (TV)-based regularizers proved to be efficient and versatile. In the last few years, the “Total Generalized Variation” (TGV) approach combined TV regularizers of different orders adaptively to better suit local regions in the image. This improved the technique significantly. The approach solved the staircase problem inherent of the first-order TV while keeping the beneficial edge preservation. The iterative minimization for the augmented Lagrangian of TGV problems requires four important parameters: two penalty parameters <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\rho }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                <mml:mi>ρ</mml:mi>\n              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\eta }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                <mml:mi>η</mml:mi>\n              </mml:math></jats:alternatives></jats:inline-formula> and two regularization parameters <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\lambda _{0}}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                <mml:msub>\n                  <mml:mi>λ</mml:mi>\n                  <mml:mn>0</mml:mn>\n                </mml:msub>\n              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\lambda _{1}}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                <mml:msub>\n                  <mml:mi>λ</mml:mi>\n                  <mml:mn>1</mml:mn>\n                </mml:msub>\n              </mml:math></jats:alternatives></jats:inline-formula>. The choice of penalty parameters decides on the convergence speed, and the regularization parameters decide on the impact of the respective regularizer and are determined by the noise level in the image. For scientific applications of such algorithms, an automated and thus objective method to determine these parameters is essential to receive unbiased results independent of the user. Obviously, both sets of parameters are to be well chosen to achieve optimal results, too. In this paper, a method is proposed to adaptively choose optimal <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\rho }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                <mml:mi>ρ</mml:mi>\n              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\eta }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                <mml:mi>η</mml:mi>\n              </mml:math></jats:alternatives></jats:inline-formula> values for the iteration to converge faster, based on the primal and dual residuals arising from the optimality conditions of the augmented Lagrangian. Further, we show how to choose <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\lambda _{0}}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                <mml:msub>\n                  <mml:mi>λ</mml:mi>\n                  <mml:mn>0</mml:mn>\n                </mml:msub>\n              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\lambda _{1}}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\n                <mml:msub>\n                  <mml:mi>λ</mml:mi>\n                  <mml:mn>1</mml:mn>\n                </mml:msub>\n              </mml:math></jats:alternatives></jats:inline-formula> based on the inherent noise in the image.</jats:p>","lang":"eng"}],"date_created":"2024-02-27T07:35:36Z","department":[{"_id":"286"},{"_id":"15"}],"keyword":["Applied Mathematics"],"type":"journal_article","publication_identifier":{"issn":["1017-1398","1572-9265"]},"author":[{"last_name":"Zietlow","first_name":"Christian","full_name":"Zietlow, Christian"},{"full_name":"Lindner, Jörg K. N.","last_name":"Lindner","first_name":"Jörg K. N."}],"title":"ADMM-TGV image restoration for scientific applications with unbiased parameter choice","year":"2024","status":"public","publication_status":"published","date_updated":"2025-01-22T09:06:50Z","language":[{"iso":"eng"}],"_id":"52089","publisher":"Springer Science and Business Media LLC","user_id":"77496","doi":"10.1007/s11075-024-01759-2"},{"abstract":[{"text":"Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by defining a class of admissible maps for every such hypernetwork. We explain how to classify robust cluster synchronization patterns on hypernetworks by finding balanced partitions, and we generalize the concept of a graph fibration to the hypernetwork context. We also show that robust synchronization patterns are only fully determined by polynomial admissible maps of high order. This means that, unlike in dyadic networks, cluster synchronization on hypernetworks is a higher-order, i.e., nonlinear, effect. We give a formula, in terms of the order of the hypernetwork, for the degree of the polynomial admissible maps that determine robust synchronization patterns. We also demonstrate that this degree is optimal by investigating a class of examples. We conclude by demonstrating how this effect may cause remarkable synchrony breaking bifurcations that occur at high polynomial degree.","lang":"eng"}],"publication":"SIAM Journal on Applied Mathematics","issue":"6","department":[{"_id":"101"}],"type":"journal_article","keyword":["Applied Mathematics"],"date_created":"2023-11-29T10:50:05Z","intvolume":"        83","date_updated":"2023-11-29T10:52:23Z","publication_status":"published","author":[{"id":"97359","full_name":"von der Gracht, Sören","first_name":"Sören","orcid":"0000-0002-8054-2058","last_name":"von der Gracht"},{"last_name":"Nijholt","first_name":"Eddie","full_name":"Nijholt, Eddie"},{"last_name":"Rink","first_name":"Bob","full_name":"Rink, Bob"}],"publication_identifier":{"issn":["0036-1399","1095-712X"]},"year":"2023","title":"Hypernetworks: Cluster Synchronization Is a Higher-Order Effect","doi":"10.1137/23m1561075","language":[{"iso":"eng"}],"citation":{"ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” <i>SIAM Journal on Applied Mathematics</i>, vol. 83, no. 6, pp. 2329–2353, 2023, doi: <a href=\"https://doi.org/10.1137/23m1561075\">10.1137/23m1561075</a>.","apa":"von der Gracht, S., Nijholt, E., &#38; Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. <i>SIAM Journal on Applied Mathematics</i>, <i>83</i>(6), 2329–2353. <a href=\"https://doi.org/10.1137/23m1561075\">https://doi.org/10.1137/23m1561075</a>","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” <i>SIAM Journal on Applied Mathematics</i> 83, no. 6 (2023): 2329–53. <a href=\"https://doi.org/10.1137/23m1561075\">https://doi.org/10.1137/23m1561075</a>.","short":"S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.","mla":"von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” <i>SIAM Journal on Applied Mathematics</i>, vol. 83, no. 6, Society for Industrial &#38; Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:<a href=\"https://doi.org/10.1137/23m1561075\">10.1137/23m1561075</a>.","bibtex":"@article{von der Gracht_Nijholt_Rink_2023, title={Hypernetworks: Cluster Synchronization Is a Higher-Order Effect}, volume={83}, DOI={<a href=\"https://doi.org/10.1137/23m1561075\">10.1137/23m1561075</a>}, number={6}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023}, pages={2329–2353} }","ama":"von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. <i>SIAM Journal on Applied Mathematics</i>. 2023;83(6):2329-2353. doi:<a href=\"https://doi.org/10.1137/23m1561075\">10.1137/23m1561075</a>"},"external_id":{"arxiv":["2302.08974"]},"status":"public","volume":83,"user_id":"97359","_id":"49326","publisher":"Society for Industrial & Applied Mathematics (SIAM)","page":"2329-2353"},{"publication_status":"published","date_updated":"2024-01-11T11:19:33Z","year":"2023","title":"Server Cloud Scheduling","publication_identifier":{"issn":["0178-4617","1432-0541"]},"author":[{"id":"88252","full_name":"Maack, Marten","last_name":"Maack","first_name":"Marten"},{"full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm","last_name":"Meyer auf der Heide","id":"15523"},{"last_name":"Pukrop","first_name":"Simon","full_name":"Pukrop, Simon","id":"44428"}],"doi":"10.1007/s00453-023-01189-x","language":[{"iso":"eng"}],"extern":"1","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Consider a set of jobs connected to a directed acyclic task graph with a fixed source and sink. The edges of this graph model precedence constraints and the jobs have to be scheduled with respect to those. We introduce the server cloud scheduling problem, in which the jobs have to be processed either on a single local machine or on one of infinitely many cloud machines. For each job, processing times both on the server and in the cloud are given. Furthermore, for each edge in the task graph, a communication delay is included in the input and has to be taken into account if one of the two jobs is scheduled on the server and the other in the cloud. The server processes jobs sequentially, whereas the cloud can serve as many as needed in parallel, but induces costs. We consider both makespan and cost minimization. The main results are an FPTAS for the makespan objective for graphs with a constant source and sink dividing cut and strong hardness for the case with unit processing times and delays.</jats:p>","lang":"eng"}],"publication":"Algorithmica","keyword":["Applied Mathematics","Computer Science Applications","General Computer Science"],"type":"journal_article","department":[{"_id":"63"}],"date_created":"2024-01-11T11:10:53Z","status":"public","user_id":"44428","_id":"50458","publisher":"Springer Science and Business Media LLC","project":[{"name":"SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen in dynamischen Märkten ","_id":"1","grant_number":"160364472"},{"name":"SFB 901 - C: SFB 901 - Project Area C","_id":"4"},{"name":"SFB 901 - C4: SFB 901 - On-The-Fly Compute Centers II: Ausführung komponierter Dienste in konfigurierbaren Rechenzentren (Subproject C4)","_id":"16","grant_number":"160364472"}],"citation":{"apa":"Maack, M., Meyer auf der Heide, F., &#38; Pukrop, S. (2023). Server Cloud Scheduling. <i>Algorithmica</i>. <a href=\"https://doi.org/10.1007/s00453-023-01189-x\">https://doi.org/10.1007/s00453-023-01189-x</a>","ieee":"M. Maack, F. Meyer auf der Heide, and S. Pukrop, “Server Cloud Scheduling,” <i>Algorithmica</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s00453-023-01189-x\">10.1007/s00453-023-01189-x</a>.","chicago":"Maack, Marten, Friedhelm Meyer auf der Heide, and Simon Pukrop. “Server Cloud Scheduling.” <i>Algorithmica</i>, 2023. <a href=\"https://doi.org/10.1007/s00453-023-01189-x\">https://doi.org/10.1007/s00453-023-01189-x</a>.","short":"M. Maack, F. Meyer auf der Heide, S. Pukrop, Algorithmica (2023).","mla":"Maack, Marten, et al. “Server Cloud Scheduling.” <i>Algorithmica</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s00453-023-01189-x\">10.1007/s00453-023-01189-x</a>.","ama":"Maack M, Meyer auf der Heide F, Pukrop S. Server Cloud Scheduling. <i>Algorithmica</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s00453-023-01189-x\">10.1007/s00453-023-01189-x</a>","bibtex":"@article{Maack_Meyer auf der Heide_Pukrop_2023, title={Server Cloud Scheduling}, DOI={<a href=\"https://doi.org/10.1007/s00453-023-01189-x\">10.1007/s00453-023-01189-x</a>}, journal={Algorithmica}, publisher={Springer Science and Business Media LLC}, author={Maack, Marten and Meyer auf der Heide, Friedhelm and Pukrop, Simon}, year={2023} }"}},{"publication":"Discrete Applied Mathematics","type":"journal_article","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"department":[{"_id":"542"}],"date_created":"2024-02-14T17:33:29Z","date_updated":"2024-02-14T17:33:59Z","publication_status":"published","intvolume":"       337","title":"Bounds for the chromatic index of signed multigraphs","year":"2023","author":[{"first_name":"Eckhard","last_name":"Steffen","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","id":"15548"},{"id":"88145","full_name":"Wolf, Isaak Hieronymus","first_name":"Isaak Hieronymus","last_name":"Wolf"}],"publication_identifier":{"issn":["0166-218X"]},"doi":"10.1016/j.dam.2023.05.008","language":[{"iso":"eng"}],"citation":{"short":"E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.","chicago":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” <i>Discrete Applied Mathematics</i> 337 (2023): 185–89. <a href=\"https://doi.org/10.1016/j.dam.2023.05.008\">https://doi.org/10.1016/j.dam.2023.05.008</a>.","apa":"Steffen, E., &#38; Wolf, I. H. (2023). Bounds for the chromatic index of signed multigraphs. <i>Discrete Applied Mathematics</i>, <i>337</i>, 185–189. <a href=\"https://doi.org/10.1016/j.dam.2023.05.008\">https://doi.org/10.1016/j.dam.2023.05.008</a>","ieee":"E. Steffen and I. H. Wolf, “Bounds for the chromatic index of signed multigraphs,” <i>Discrete Applied Mathematics</i>, vol. 337, pp. 185–189, 2023, doi: <a href=\"https://doi.org/10.1016/j.dam.2023.05.008\">10.1016/j.dam.2023.05.008</a>.","ama":"Steffen E, Wolf IH. Bounds for the chromatic index of signed multigraphs. <i>Discrete Applied Mathematics</i>. 2023;337:185-189. doi:<a href=\"https://doi.org/10.1016/j.dam.2023.05.008\">10.1016/j.dam.2023.05.008</a>","bibtex":"@article{Steffen_Wolf_2023, title={Bounds for the chromatic index of signed multigraphs}, volume={337}, DOI={<a href=\"https://doi.org/10.1016/j.dam.2023.05.008\">10.1016/j.dam.2023.05.008</a>}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={185–189} }","mla":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” <i>Discrete Applied Mathematics</i>, vol. 337, Elsevier BV, 2023, pp. 185–89, doi:<a href=\"https://doi.org/10.1016/j.dam.2023.05.008\">10.1016/j.dam.2023.05.008</a>."},"status":"public","user_id":"15540","volume":337,"page":"185-189","publisher":"Elsevier BV","_id":"51351"},{"keyword":["Applied Mathematics","Education","Mathematics (miscellaneous)"],"type":"journal_article","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"date_created":"2024-03-25T10:02:09Z","publication":"International Journal of Mathematical Education in Science and Technology","citation":{"ieee":"H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds, “Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &#38;amp; Ireland,” <i>International Journal of Mathematical Education in Science and Technology</i>, pp. 1–26, 2023, doi: <a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">10.1080/0020739x.2023.2184282</a>.","apa":"Gilbert, H., Schürmann, M., Liebendörfer, M., Lawson, D., &#38; Hodds, M. (2023). Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &#38;amp; Ireland. <i>International Journal of Mathematical Education in Science and Technology</i>, 1–26. <a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">https://doi.org/10.1080/0020739x.2023.2184282</a>","chicago":"Gilbert, H., M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain &#38;amp; Ireland.” <i>International Journal of Mathematical Education in Science and Technology</i>, 2023, 1–26. <a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">https://doi.org/10.1080/0020739x.2023.2184282</a>.","short":"H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International Journal of Mathematical Education in Science and Technology (2023) 1–26.","mla":"Gilbert, H., et al. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain &#38;amp; Ireland.” <i>International Journal of Mathematical Education in Science and Technology</i>, Informa UK Limited, 2023, pp. 1–26, doi:<a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">10.1080/0020739x.2023.2184282</a>.","bibtex":"@article{Gilbert_Schürmann_Liebendörfer_Lawson_Hodds_2023, title={Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &#38;amp; Ireland}, DOI={<a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">10.1080/0020739x.2023.2184282</a>}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Gilbert, H. and Schürmann, M. and Liebendörfer, M. and Lawson, D. and Hodds, M.}, year={2023}, pages={1–26} }","ama":"Gilbert H, Schürmann M, Liebendörfer M, Lawson D, Hodds M. Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &#38;amp; Ireland. <i>International Journal of Mathematical Education in Science and Technology</i>. Published online 2023:1-26. doi:<a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">10.1080/0020739x.2023.2184282</a>"},"doi":"10.1080/0020739x.2023.2184282","user_id":"30933","page":"1-26","_id":"52806","publisher":"Informa UK Limited","language":[{"iso":"eng"}],"date_updated":"2024-03-25T10:09:21Z","publication_status":"published","title":"Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &amp; Ireland","year":"2023","status":"public","author":[{"last_name":"Gilbert","first_name":"H.","full_name":"Gilbert, H."},{"last_name":"Schürmann","first_name":"M.","full_name":"Schürmann, M."},{"full_name":"Liebendörfer, M.","first_name":"M.","last_name":"Liebendörfer"},{"first_name":"D.","last_name":"Lawson","full_name":"Lawson, D."},{"full_name":"Hodds, M.","first_name":"M.","last_name":"Hodds"}],"publication_identifier":{"issn":["0020-739X","1464-5211"]}},{"date_updated":"2024-04-03T09:15:27Z","publication_status":"published","year":"2023","status":"public","title":"Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints","author":[{"last_name":"Bartels","first_name":"Sören","full_name":"Bartels, Sören"},{"id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474"},{"last_name":"Wang","first_name":"Zhangxian","full_name":"Wang, Zhangxian"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"doi":"10.1093/imanum/drad037","user_id":"100441","publisher":"Oxford University Press (OUP)","_id":"45971","language":[{"iso":"eng"}],"abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>An error estimate for a canonical discretization of the harmonic map heat flow into spheres is derived. The numerical scheme uses standard finite elements with a nodal treatment of linearized unit-length constraints. The analysis is based on elementary approximation results and only uses the discrete weak formulation.</jats:p>","lang":"eng"}],"publication":"IMA Journal of Numerical Analysis","citation":{"ama":"Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. <i>IMA Journal of Numerical Analysis</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>","bibtex":"@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints}, DOI={<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023} }","mla":"Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” <i>IMA Journal of Numerical Analysis</i>, Oxford University Press (OUP), 2023, doi:<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>.","chicago":"Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” <i>IMA Journal of Numerical Analysis</i>, 2023. <a href=\"https://doi.org/10.1093/imanum/drad037\">https://doi.org/10.1093/imanum/drad037</a>.","short":"S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).","apa":"Bartels, S., Kovács, B., &#38; Wang, Z. (2023). Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/drad037\">https://doi.org/10.1093/imanum/drad037</a>","ieee":"S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints,” <i>IMA Journal of Numerical Analysis</i>, 2023, doi: <a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>."},"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T12:32:10Z"},{"citation":{"short":"I. Santamaria, M. Soleymani, E. Jorswieck, J. Gutiérrez, IEEE Signal Processing Letters 30 (2023) 923–926.","chicago":"Santamaria, Ignacio, Mohammad Soleymani, Eduard Jorswieck, and Jesús Gutiérrez. “SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links.” <i>IEEE Signal Processing Letters</i> 30 (2023): 923–26. <a href=\"https://doi.org/10.1109/lsp.2023.3296902\">https://doi.org/10.1109/lsp.2023.3296902</a>.","ieee":"I. Santamaria, M. Soleymani, E. Jorswieck, and J. Gutiérrez, “SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links,” <i>IEEE Signal Processing Letters</i>, vol. 30, pp. 923–926, 2023, doi: <a href=\"https://doi.org/10.1109/lsp.2023.3296902\">10.1109/lsp.2023.3296902</a>.","apa":"Santamaria, I., Soleymani, M., Jorswieck, E., &#38; Gutiérrez, J. (2023). SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links. <i>IEEE Signal Processing Letters</i>, <i>30</i>, 923–926. <a href=\"https://doi.org/10.1109/lsp.2023.3296902\">https://doi.org/10.1109/lsp.2023.3296902</a>","bibtex":"@article{Santamaria_Soleymani_Jorswieck_Gutiérrez_2023, title={SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links}, volume={30}, DOI={<a href=\"https://doi.org/10.1109/lsp.2023.3296902\">10.1109/lsp.2023.3296902</a>}, journal={IEEE Signal Processing Letters}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Santamaria, Ignacio and Soleymani, Mohammad and Jorswieck, Eduard and Gutiérrez, Jesús}, year={2023}, pages={923–926} }","ama":"Santamaria I, Soleymani M, Jorswieck E, Gutiérrez J. SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links. <i>IEEE Signal Processing Letters</i>. 2023;30:923-926. doi:<a href=\"https://doi.org/10.1109/lsp.2023.3296902\">10.1109/lsp.2023.3296902</a>","mla":"Santamaria, Ignacio, et al. “SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links.” <i>IEEE Signal Processing Letters</i>, vol. 30, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 923–26, doi:<a href=\"https://doi.org/10.1109/lsp.2023.3296902\">10.1109/lsp.2023.3296902</a>."},"volume":30,"user_id":"67076","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","_id":"53262","page":"923-926","status":"public","department":[{"_id":"263"}],"keyword":["Applied Mathematics","Electrical and Electronic Engineering","Signal Processing"],"type":"journal_article","date_created":"2024-04-05T09:01:21Z","publication":"IEEE Signal Processing Letters","doi":"10.1109/lsp.2023.3296902","language":[{"iso":"eng"}],"intvolume":"        30","publication_status":"published","date_updated":"2024-04-05T13:20:51Z","author":[{"last_name":"Santamaria","first_name":"Ignacio","full_name":"Santamaria, Ignacio"},{"full_name":"Soleymani, Mohammad","first_name":"Mohammad","last_name":"Soleymani"},{"full_name":"Jorswieck, Eduard","first_name":"Eduard","last_name":"Jorswieck"},{"last_name":"Gutiérrez","first_name":"Jesús","full_name":"Gutiérrez, Jesús"}],"publication_identifier":{"issn":["1070-9908","1558-2361"]},"year":"2023","title":"SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links"},{"citation":{"mla":"Soleymani, Mohammad, et al. “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-Assisted URLLC Systems.” <i>IEEE Transactions on Wireless Communications</i>, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 1–1, doi:<a href=\"https://doi.org/10.1109/twc.2023.3324190\">10.1109/twc.2023.3324190</a>.","bibtex":"@article{Soleymani_Santamaria_Jorswieck_Clerckx_2023, title={Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems}, DOI={<a href=\"https://doi.org/10.1109/twc.2023.3324190\">10.1109/twc.2023.3324190</a>}, journal={IEEE Transactions on Wireless Communications}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard and Clerckx, Bruno}, year={2023}, pages={1–1} }","ama":"Soleymani M, Santamaria I, Jorswieck E, Clerckx B. Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems. <i>IEEE Transactions on Wireless Communications</i>. Published online 2023:1-1. doi:<a href=\"https://doi.org/10.1109/twc.2023.3324190\">10.1109/twc.2023.3324190</a>","ieee":"M. Soleymani, I. Santamaria, E. Jorswieck, and B. Clerckx, “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems,” <i>IEEE Transactions on Wireless Communications</i>, pp. 1–1, 2023, doi: <a href=\"https://doi.org/10.1109/twc.2023.3324190\">10.1109/twc.2023.3324190</a>.","apa":"Soleymani, M., Santamaria, I., Jorswieck, E., &#38; Clerckx, B. (2023). Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems. <i>IEEE Transactions on Wireless Communications</i>, 1–1. <a href=\"https://doi.org/10.1109/twc.2023.3324190\">https://doi.org/10.1109/twc.2023.3324190</a>","chicago":"Soleymani, Mohammad, Ignacio Santamaria, Eduard Jorswieck, and Bruno Clerckx. “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-Assisted URLLC Systems.” <i>IEEE Transactions on Wireless Communications</i>, 2023, 1–1. <a href=\"https://doi.org/10.1109/twc.2023.3324190\">https://doi.org/10.1109/twc.2023.3324190</a>.","short":"M. Soleymani, I. Santamaria, E. Jorswieck, B. Clerckx, IEEE Transactions on Wireless Communications (2023) 1–1."},"publication":"IEEE Transactions on Wireless Communications","date_created":"2024-04-05T09:01:04Z","department":[{"_id":"263"}],"type":"journal_article","keyword":["Applied Mathematics","Electrical and Electronic Engineering","Computer Science Applications"],"author":[{"last_name":"Soleymani","first_name":"Mohammad","full_name":"Soleymani, Mohammad"},{"full_name":"Santamaria, Ignacio","last_name":"Santamaria","first_name":"Ignacio"},{"full_name":"Jorswieck, Eduard","last_name":"Jorswieck","first_name":"Eduard"},{"last_name":"Clerckx","first_name":"Bruno","full_name":"Clerckx, Bruno"}],"publication_identifier":{"issn":["1536-1276","1558-2248"]},"title":"Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems","year":"2023","status":"public","publication_status":"published","date_updated":"2024-04-05T13:20:40Z","_id":"53261","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","language":[{"iso":"eng"}],"page":"1-1","user_id":"67076","doi":"10.1109/twc.2023.3324190"},{"volume":12,"user_id":"31496","_id":"53317","publisher":"American Institute of Mathematical Sciences (AIMS)","page":"1676-1687","status":"public","citation":{"mla":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” <i>Evolution Equations and Control Theory</i>, vol. 12, no. 6, American Institute of Mathematical Sciences (AIMS), 2023, pp. 1676–87, doi:<a href=\"https://doi.org/10.3934/eect.2023031\">10.3934/eect.2023031</a>.","ama":"Tao Y, Winkler M. Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. <i>Evolution Equations and Control Theory</i>. 2023;12(6):1676-1687. doi:<a href=\"https://doi.org/10.3934/eect.2023031\">10.3934/eect.2023031</a>","bibtex":"@article{Tao_Winkler_2023, title={Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities}, volume={12}, DOI={<a href=\"https://doi.org/10.3934/eect.2023031\">10.3934/eect.2023031</a>}, number={6}, journal={Evolution Equations and Control Theory}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={1676–1687} }","apa":"Tao, Y., &#38; Winkler, M. (2023). Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. <i>Evolution Equations and Control Theory</i>, <i>12</i>(6), 1676–1687. <a href=\"https://doi.org/10.3934/eect.2023031\">https://doi.org/10.3934/eect.2023031</a>","ieee":"Y. Tao and M. Winkler, “Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities,” <i>Evolution Equations and Control Theory</i>, vol. 12, no. 6, pp. 1676–1687, 2023, doi: <a href=\"https://doi.org/10.3934/eect.2023031\">10.3934/eect.2023031</a>.","short":"Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687.","chicago":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” <i>Evolution Equations and Control Theory</i> 12, no. 6 (2023): 1676–87. <a href=\"https://doi.org/10.3934/eect.2023031\">https://doi.org/10.3934/eect.2023031</a>."},"doi":"10.3934/eect.2023031","language":[{"iso":"eng"}],"intvolume":"        12","publication_status":"published","date_updated":"2024-04-07T12:36:17Z","author":[{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["2163-2480"]},"title":"Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities","year":"2023","type":"journal_article","keyword":["Applied Mathematics","Control and Optimization","Modeling and Simulation"],"date_created":"2024-04-07T12:30:25Z","publication":"Evolution Equations and Control Theory","issue":"6"},{"keyword":["Mathematical Physics","Analysis","Applied Mathematics"],"type":"journal_article","date_created":"2024-04-07T12:34:35Z","citation":{"chicago":"Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>, 2023. <a href=\"https://doi.org/10.4171/aihpc/73\">https://doi.org/10.4171/aihpc/73</a>.","short":"M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire (2023).","ieee":"M. Winkler, “A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion,” <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>, 2023, doi: <a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>.","apa":"Winkler, M. (2023). A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>. <a href=\"https://doi.org/10.4171/aihpc/73\">https://doi.org/10.4171/aihpc/73</a>","bibtex":"@article{Winkler_2023, title={A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion}, DOI={<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2023} }","ama":"Winkler M. A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>. Published online 2023. doi:<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>","mla":"Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>, European Mathematical Society - EMS - Publishing House GmbH, 2023, doi:<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>."},"publication":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","doi":"10.4171/aihpc/73","user_id":"31496","_id":"53320","publisher":"European Mathematical Society - EMS - Publishing House GmbH","language":[{"iso":"eng"}],"date_updated":"2024-04-07T12:36:00Z","publication_status":"published","publication_identifier":{"issn":["0294-1449","1873-1430"]},"author":[{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"status":"public","year":"2023","title":"A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion"},{"language":[{"iso":"eng"}],"doi":"10.1080/00036811.2023.2173183","publication_identifier":{"issn":["0003-6811","1563-504X"]},"author":[{"full_name":"Li, Genglin","last_name":"Li","first_name":"Genglin"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"year":"2023","title":"Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities","intvolume":"       103","publication_status":"published","date_updated":"2024-04-07T12:36:11Z","date_created":"2024-04-07T12:32:55Z","type":"journal_article","keyword":["Applied Mathematics","Analysis"],"issue":"1","publication":"Applicable Analysis","_id":"53318","publisher":"Informa UK Limited","page":"45-64","volume":103,"user_id":"31496","status":"public","citation":{"chicago":"Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i> 103, no. 1 (2023): 45–64. <a href=\"https://doi.org/10.1080/00036811.2023.2173183\">https://doi.org/10.1080/00036811.2023.2173183</a>.","short":"G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.","apa":"Li, G., &#38; Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. <i>Applicable Analysis</i>, <i>103</i>(1), 45–64. <a href=\"https://doi.org/10.1080/00036811.2023.2173183\">https://doi.org/10.1080/00036811.2023.2173183</a>","ieee":"G. Li and M. Winkler, “Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities,” <i>Applicable Analysis</i>, vol. 103, no. 1, pp. 45–64, 2023, doi: <a href=\"https://doi.org/10.1080/00036811.2023.2173183\">10.1080/00036811.2023.2173183</a>.","ama":"Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. <i>Applicable Analysis</i>. 2023;103(1):45-64. doi:<a href=\"https://doi.org/10.1080/00036811.2023.2173183\">10.1080/00036811.2023.2173183</a>","bibtex":"@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities}, volume={103}, DOI={<a href=\"https://doi.org/10.1080/00036811.2023.2173183\">10.1080/00036811.2023.2173183</a>}, number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={45–64} }","mla":"Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i>, vol. 103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi:<a href=\"https://doi.org/10.1080/00036811.2023.2173183\">10.1080/00036811.2023.2173183</a>."}},{"issue":"01","publication":"Mathematical Models and Methods in Applied Sciences","abstract":[{"text":"<jats:p> As a simplified version of a three-component taxis cascade model accounting for different migration strategies of two population groups in search of food, a two-component nonlocal nutrient taxis system is considered in a two-dimensional bounded convex domain with smooth boundary. For any given conveniently regular and biologically meaningful initial data, smallness conditions on the prescribed resource growth and on the initial nutrient signal concentration are identified which ensure the global existence of a global classical solution to the corresponding no-flux initial-boundary value problem. Moreover, under additional assumptions on the food production source these solutions are shown to be bounded, and to stabilize toward semi-trivial equilibria in the large time limit, respectively. </jats:p>","lang":"eng"}],"date_created":"2024-04-07T12:43:13Z","keyword":["Applied Mathematics","Modeling and Simulation"],"type":"journal_article","year":"2023","title":"Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers","author":[{"last_name":"Tao","first_name":"Youshan","full_name":"Tao, Youshan"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["0218-2025","1793-6314"]},"date_updated":"2024-04-07T12:43:17Z","publication_status":"published","intvolume":"        33","language":[{"iso":"eng"}],"doi":"10.1142/s0218202523500045","citation":{"ieee":"Y. Tao and M. Winkler, “Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 33, no. 01, pp. 103–138, 2023, doi: <a href=\"https://doi.org/10.1142/s0218202523500045\">10.1142/s0218202523500045</a>.","apa":"Tao, Y., &#38; Winkler, M. (2023). Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>33</i>(01), 103–138. <a href=\"https://doi.org/10.1142/s0218202523500045\">https://doi.org/10.1142/s0218202523500045</a>","short":"Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.","chicago":"Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” <i>Mathematical Models and Methods in Applied Sciences</i> 33, no. 01 (2023): 103–38. <a href=\"https://doi.org/10.1142/s0218202523500045\">https://doi.org/10.1142/s0218202523500045</a>.","mla":"Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 33, no. 01, World Scientific Pub Co Pte Ltd, 2023, pp. 103–38, doi:<a href=\"https://doi.org/10.1142/s0218202523500045\">10.1142/s0218202523500045</a>.","bibtex":"@article{Tao_Winkler_2023, title={Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers}, volume={33}, DOI={<a href=\"https://doi.org/10.1142/s0218202523500045\">10.1142/s0218202523500045</a>}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={103–138} }","ama":"Tao Y, Winkler M. Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. <i>Mathematical Models and Methods in Applied Sciences</i>. 2023;33(01):103-138. doi:<a href=\"https://doi.org/10.1142/s0218202523500045\">10.1142/s0218202523500045</a>"},"status":"public","page":"103-138","publisher":"World Scientific Pub Co Pte Ltd","_id":"53328","user_id":"31496","volume":33},{"date_created":"2024-04-07T12:40:02Z","keyword":["Applied Mathematics","Analysis"],"type":"journal_article","publication":"Calculus of Variations and Partial Differential Equations","issue":"6","language":[{"iso":"eng"}],"article_number":"180","doi":"10.1007/s00526-023-02523-5","author":[{"first_name":"Jaewook","last_name":"Ahn","full_name":"Ahn, Jaewook"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0944-2669","1432-0835"]},"title":"A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system","year":"2023","intvolume":"        62","publication_status":"published","date_updated":"2024-04-07T12:40:06Z","citation":{"ieee":"J. Ahn and M. Winkler, “A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 62, no. 6, Art. no. 180, 2023, doi: <a href=\"https://doi.org/10.1007/s00526-023-02523-5\">10.1007/s00526-023-02523-5</a>.","apa":"Ahn, J., &#38; Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. <i>Calculus of Variations and Partial Differential Equations</i>, <i>62</i>(6), Article 180. <a href=\"https://doi.org/10.1007/s00526-023-02523-5\">https://doi.org/10.1007/s00526-023-02523-5</a>","short":"J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).","chicago":"Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” <i>Calculus of Variations and Partial Differential Equations</i> 62, no. 6 (2023). <a href=\"https://doi.org/10.1007/s00526-023-02523-5\">https://doi.org/10.1007/s00526-023-02523-5</a>.","mla":"Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s00526-023-02523-5\">10.1007/s00526-023-02523-5</a>.","bibtex":"@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system}, volume={62}, DOI={<a href=\"https://doi.org/10.1007/s00526-023-02523-5\">10.1007/s00526-023-02523-5</a>}, number={6180}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Ahn, Jaewook and Winkler, Michael}, year={2023} }","ama":"Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. <i>Calculus of Variations and Partial Differential Equations</i>. 2023;62(6). doi:<a href=\"https://doi.org/10.1007/s00526-023-02523-5\">10.1007/s00526-023-02523-5</a>"},"_id":"53324","publisher":"Springer Science and Business Media LLC","volume":62,"user_id":"31496","status":"public"},{"year":"2023","title":"Analysis of a chemotaxis-SIS epidemic model with unbounded infection force","status":"public","author":[{"last_name":"Tao","first_name":"Youshan","full_name":"Tao, Youshan"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"publication_identifier":{"issn":["1468-1218"]},"date_updated":"2024-04-07T12:43:53Z","publication_status":"published","intvolume":"        71","article_number":"103820","_id":"53329","publisher":"Elsevier BV","language":[{"iso":"eng"}],"doi":"10.1016/j.nonrwa.2022.103820","user_id":"31496","volume":71,"publication":"Nonlinear Analysis: Real World Applications","citation":{"short":"Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).","chicago":"Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i> 71 (2023). <a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">https://doi.org/10.1016/j.nonrwa.2022.103820</a>.","apa":"Tao, Y., &#38; Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. <i>Nonlinear Analysis: Real World Applications</i>, <i>71</i>, Article 103820. <a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">https://doi.org/10.1016/j.nonrwa.2022.103820</a>","ieee":"Y. Tao and M. Winkler, “Analysis of a chemotaxis-SIS epidemic model with unbounded infection force,” <i>Nonlinear Analysis: Real World Applications</i>, vol. 71, Art. no. 103820, 2023, doi: <a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">10.1016/j.nonrwa.2022.103820</a>.","ama":"Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. <i>Nonlinear Analysis: Real World Applications</i>. 2023;71. doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">10.1016/j.nonrwa.2022.103820</a>","bibtex":"@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic model with unbounded infection force}, volume={71}, DOI={<a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">10.1016/j.nonrwa.2022.103820</a>}, number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }","mla":"Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>, vol. 71, 103820, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">10.1016/j.nonrwa.2022.103820</a>."},"date_created":"2024-04-07T12:43:49Z","keyword":["Applied Mathematics","Computational Mathematics","General Economics","Econometrics and Finance","General Engineering","General Medicine","Analysis"],"type":"journal_article"},{"date_created":"2024-04-07T12:41:49Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"publication":"Communications in Mathematical Sciences","issue":"2","language":[{"iso":"eng"}],"doi":"10.4310/cms.2023.v21.n2.a1","title":"Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities","year":"2023","publication_identifier":{"issn":["1539-6746","1945-0796"]},"author":[{"first_name":"Genglin","last_name":"Li","full_name":"Li, Genglin"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"publication_status":"published","date_updated":"2024-04-07T12:41:54Z","intvolume":"        21","citation":{"ieee":"G. Li and M. Winkler, “Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities,” <i>Communications in Mathematical Sciences</i>, vol. 21, no. 2, pp. 299–322, 2023, doi: <a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">10.4310/cms.2023.v21.n2.a1</a>.","apa":"Li, G., &#38; Winkler, M. (2023). Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. <i>Communications in Mathematical Sciences</i>, <i>21</i>(2), 299–322. <a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">https://doi.org/10.4310/cms.2023.v21.n2.a1</a>","short":"G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.","chicago":"Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” <i>Communications in Mathematical Sciences</i> 21, no. 2 (2023): 299–322. <a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">https://doi.org/10.4310/cms.2023.v21.n2.a1</a>.","mla":"Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” <i>Communications in Mathematical Sciences</i>, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322, doi:<a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">10.4310/cms.2023.v21.n2.a1</a>.","bibtex":"@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities}, volume={21}, DOI={<a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">10.4310/cms.2023.v21.n2.a1</a>}, number={2}, journal={Communications in Mathematical Sciences}, publisher={International Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322} }","ama":"Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. <i>Communications in Mathematical Sciences</i>. 2023;21(2):299-322. doi:<a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">10.4310/cms.2023.v21.n2.a1</a>"},"page":"299-322","_id":"53326","publisher":"International Press of Boston","user_id":"31496","volume":21,"status":"public"}]