[{"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization"],"user_id":"32643","department":[{"_id":"101"}],"_id":"51208","status":"public","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>"}],"type":"journal_article","publication":"Computational Optimization and Applications","doi":"10.1007/s10589-024-00552-0","title":"A note on the convergence of deterministic gradient sampling in nonsmooth optimization","date_created":"2024-02-07T07:23:23Z","author":[{"last_name":"Gebken","full_name":"Gebken, Bennet","id":"32643","first_name":"Bennet"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2024-02-08T08:05:54Z","citation":{"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>","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} }","short":"B. Gebken, Computational Optimization and Applications (2024).","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>.","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>","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>.","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>."},"year":"2024","publication_status":"published","publication_identifier":{"issn":["0926-6003","1573-2894"]}},{"quality_controlled":"1","year":"2024","publisher":"Elsevier BV","date_created":"2024-02-29T13:57:56Z","title":"Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains","publication":"International Journal of Solids and Structures","keyword":["Applied Mathematics","Mechanical Engineering","Mechanics of Materials","Condensed Matter Physics","General Materials Science","Modeling and Simulation"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0020-7683"]},"publication_status":"published","intvolume":"       290","citation":{"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>","short":"P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024).","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>.","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>","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>.","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>."},"date_updated":"2024-02-29T13:58:14Z","volume":290,"author":[{"last_name":"Lenz","full_name":"Lenz, Peter","first_name":"Peter"},{"id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf"}],"doi":"10.1016/j.ijsolstr.2023.112642","type":"journal_article","status":"public","_id":"52218","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","article_number":"112642"},{"citation":{"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>.","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>.","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>","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>","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>.","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} }","short":"R. Mahnken, H. Westermann, Computational Mechanics (2024)."},"year":"2024","publication_identifier":{"issn":["0178-7675","1432-0924"]},"quality_controlled":"1","publication_status":"published","doi":"10.1007/s00466-024-02442-y","title":"Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods","author":[{"first_name":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"},{"full_name":"Westermann, Hendrik","id":"60816","orcid":"0000-0002-5034-9708","last_name":"Westermann","first_name":"Hendrik"}],"date_created":"2024-03-03T13:23:28Z","date_updated":"2024-03-19T12:14:07Z","publisher":"Springer Science and Business Media LLC","status":"public","abstract":[{"lang":"eng","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."}],"publication":"Computational Mechanics","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"department":[{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"52233"},{"publication_status":"published","publication_identifier":{"issn":["2051-1329"]},"has_accepted_license":"1","citation":{"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>","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} }","short":"C. Bick, S. von der Gracht, Journal of Complex Networks 12 (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>.","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>."},"intvolume":"        12","date_updated":"2024-03-22T09:11:53Z","oa":"1","author":[{"last_name":"Bick","full_name":"Bick, Christian","first_name":"Christian"},{"first_name":"Sören","orcid":"0000-0002-8054-2058","last_name":"von der Gracht","full_name":"von der Gracht, Sören","id":"97359"}],"volume":12,"main_file_link":[{"url":"https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf","open_access":"1"}],"doi":"10.1093/comnet/cnae009","type":"journal_article","status":"public","_id":"52726","user_id":"97359","department":[{"_id":"101"}],"article_type":"original","file_date_updated":"2024-03-22T09:06:07Z","issue":"2","year":"2024","publisher":"Oxford University Press (OUP)","date_created":"2024-03-22T09:04:57Z","title":"Heteroclinic dynamics in network dynamical systems with higher-order interactions","publication":"Journal of Complex Networks","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."}],"file":[{"content_type":"application/pdf","relation":"main_file","success":1,"creator":"svdg","date_created":"2024-03-22T09:06:07Z","date_updated":"2024-03-22T09:06:07Z","file_id":"52728","access_level":"closed","file_name":"heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf","file_size":649155}],"external_id":{"arxiv":["2309.02006"]},"ddc":["510"],"keyword":["Applied Mathematics","Computational Mathematics","Control and Optimization","Management Science and Operations Research","Computer Networks and Communications"],"language":[{"iso":"eng"}]},{"type":"journal_article","publication":"Journal of Mathematical Analysis and Applications","status":"public","user_id":"55911","department":[{"_id":"555"}],"_id":"53300","language":[{"iso":"eng"}],"article_number":"128125","keyword":["Applied Mathematics","Analysis"],"issue":"2","publication_status":"published","publication_identifier":{"issn":["0022-247X"]},"citation":{"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>.","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>","short":"D. Brennecken, Journal of Mathematical Analysis and Applications 535 (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>.","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} }","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>"},"intvolume":"       535","year":"2024","date_created":"2024-04-05T13:55:33Z","author":[{"first_name":"Dominik","last_name":"Brennecken","full_name":"Brennecken, Dominik","id":"55911"}],"volume":535,"date_updated":"2024-09-03T14:40:46Z","publisher":"Elsevier BV","doi":"10.1016/j.jmaa.2024.128125","title":"Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting"},{"date_created":"2024-02-27T07:35:36Z","author":[{"first_name":"Christian","full_name":"Zietlow, Christian","last_name":"Zietlow"},{"first_name":"Jörg K. N.","full_name":"Lindner, Jörg K. N.","last_name":"Lindner"}],"date_updated":"2025-01-22T09:06:50Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s11075-024-01759-2","title":"ADMM-TGV image restoration for scientific applications with unbiased parameter choice","publication_identifier":{"issn":["1017-1398","1572-9265"]},"publication_status":"published","citation":{"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} }","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>","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>","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>.","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>."},"year":"2024","department":[{"_id":"286"},{"_id":"15"}],"user_id":"77496","_id":"52089","language":[{"iso":"eng"}],"keyword":["Applied Mathematics"],"publication":"Numerical Algorithms","type":"journal_article","status":"public","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"}]},{"language":[{"iso":"eng"}],"keyword":["Applied Mathematics"],"external_id":{"arxiv":["2302.08974"]},"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","title":"Hypernetworks: Cluster Synchronization Is a Higher-Order Effect","date_created":"2023-11-29T10:50:05Z","publisher":"Society for Industrial & Applied Mathematics (SIAM)","year":"2023","issue":"6","department":[{"_id":"101"}],"user_id":"97359","_id":"49326","status":"public","type":"journal_article","doi":"10.1137/23m1561075","volume":83,"author":[{"last_name":"von der Gracht","orcid":"0000-0002-8054-2058","full_name":"von der Gracht, Sören","id":"97359","first_name":"Sören"},{"full_name":"Nijholt, Eddie","last_name":"Nijholt","first_name":"Eddie"},{"full_name":"Rink, Bob","last_name":"Rink","first_name":"Bob"}],"date_updated":"2023-11-29T10:52:23Z","page":"2329-2353","intvolume":"        83","citation":{"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} }","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>.","short":"S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.","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>.","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>.","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>"},"publication_identifier":{"issn":["0036-1399","1095-712X"]},"publication_status":"published"},{"doi":"10.1007/s00453-023-01189-x","title":"Server Cloud Scheduling","date_created":"2024-01-11T11:10:53Z","author":[{"id":"88252","full_name":"Maack, Marten","last_name":"Maack","first_name":"Marten"},{"first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm","id":"15523","last_name":"Meyer auf der Heide"},{"full_name":"Pukrop, Simon","id":"44428","last_name":"Pukrop","first_name":"Simon"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2024-01-11T11:19:33Z","citation":{"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>.","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>.","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>","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>","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} }","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>."},"year":"2023","publication_identifier":{"issn":["0178-4617","1432-0541"]},"publication_status":"published","extern":"1","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computer Science Applications","General Computer Science"],"department":[{"_id":"63"}],"user_id":"44428","_id":"50458","project":[{"grant_number":"160364472","name":"SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen in dynamischen Märkten ","_id":"1"},{"_id":"4","name":"SFB 901 - C: SFB 901 - Project Area C"},{"grant_number":"160364472","name":"SFB 901 - C4: SFB 901 - On-The-Fly Compute Centers II: Ausführung komponierter Dienste in konfigurierbaren Rechenzentren (Subproject C4)","_id":"16"}],"status":"public","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","type":"journal_article"},{"user_id":"15540","department":[{"_id":"542"}],"_id":"51351","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"type":"journal_article","publication":"Discrete Applied Mathematics","status":"public","author":[{"first_name":"Eckhard","last_name":"Steffen","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","id":"15548"},{"last_name":"Wolf","full_name":"Wolf, Isaak Hieronymus","id":"88145","first_name":"Isaak Hieronymus"}],"date_created":"2024-02-14T17:33:29Z","volume":337,"date_updated":"2024-02-14T17:33:59Z","publisher":"Elsevier BV","doi":"10.1016/j.dam.2023.05.008","title":"Bounds for the chromatic index of signed multigraphs","publication_status":"published","publication_identifier":{"issn":["0166-218X"]},"citation":{"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>","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>.","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>.","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>","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>.","short":"E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.","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} }"},"intvolume":"       337","page":"185-189","year":"2023"},{"doi":"10.1080/0020739x.2023.2184282","title":"Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &amp; Ireland","author":[{"full_name":"Gilbert, H.","last_name":"Gilbert","first_name":"H."},{"first_name":"M.","last_name":"Schürmann","full_name":"Schürmann, M."},{"last_name":"Liebendörfer","full_name":"Liebendörfer, M.","first_name":"M."},{"last_name":"Lawson","full_name":"Lawson, D.","first_name":"D."},{"first_name":"M.","full_name":"Hodds, M.","last_name":"Hodds"}],"date_created":"2024-03-25T10:02:09Z","date_updated":"2024-03-25T10:09:21Z","publisher":"Informa UK Limited","page":"1-26","citation":{"short":"H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International Journal of Mathematical Education in Science and Technology (2023) 1–26.","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} }","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>.","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>","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>","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>.","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>."},"year":"2023","publication_identifier":{"issn":["0020-739X","1464-5211"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Education","Mathematics (miscellaneous)"],"department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"user_id":"30933","_id":"52806","status":"public","publication":"International Journal of Mathematical Education in Science and Technology","type":"journal_article"},{"_id":"45971","user_id":"100441","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"IMA Journal of Numerical Analysis","abstract":[{"lang":"eng","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>"}],"status":"public","publisher":"Oxford University Press (OUP)","date_updated":"2024-04-03T09:15:27Z","date_created":"2023-07-10T12:32:10Z","author":[{"first_name":"Sören","full_name":"Bartels, Sören","last_name":"Bartels"},{"orcid":"0000-0001-9872-3474","last_name":"Kovács","id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs"},{"first_name":"Zhangxian","full_name":"Wang, Zhangxian","last_name":"Wang"}],"title":"Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints","doi":"10.1093/imanum/drad037","publication_status":"published","publication_identifier":{"issn":["0272-4979","1464-3642"]},"year":"2023","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>","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>.","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>.","short":"S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).","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>.","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>"}},{"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","date_updated":"2024-04-05T13:20:51Z","volume":30,"date_created":"2024-04-05T09:01:21Z","author":[{"first_name":"Ignacio","last_name":"Santamaria","full_name":"Santamaria, Ignacio"},{"first_name":"Mohammad","last_name":"Soleymani","full_name":"Soleymani, Mohammad"},{"last_name":"Jorswieck","full_name":"Jorswieck, Eduard","first_name":"Eduard"},{"first_name":"Jesús","last_name":"Gutiérrez","full_name":"Gutiérrez, Jesús"}],"title":"SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links","doi":"10.1109/lsp.2023.3296902","publication_identifier":{"issn":["1070-9908","1558-2361"]},"publication_status":"published","year":"2023","intvolume":"        30","page":"923-926","citation":{"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} }","short":"I. Santamaria, M. Soleymani, E. Jorswieck, J. Gutiérrez, IEEE Signal Processing Letters 30 (2023) 923–926.","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>.","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>","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>","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>.","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>."},"_id":"53262","department":[{"_id":"263"}],"user_id":"67076","keyword":["Applied Mathematics","Electrical and Electronic Engineering","Signal Processing"],"language":[{"iso":"eng"}],"publication":"IEEE Signal Processing Letters","type":"journal_article","status":"public"},{"keyword":["Applied Mathematics","Electrical and Electronic Engineering","Computer Science Applications"],"language":[{"iso":"eng"}],"_id":"53261","department":[{"_id":"263"}],"user_id":"67076","status":"public","publication":"IEEE Transactions on Wireless Communications","type":"journal_article","title":"Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems","doi":"10.1109/twc.2023.3324190","date_updated":"2024-04-05T13:20:40Z","publisher":"Institute of Electrical and Electronics Engineers (IEEE)","author":[{"first_name":"Mohammad","last_name":"Soleymani","full_name":"Soleymani, Mohammad"},{"last_name":"Santamaria","full_name":"Santamaria, Ignacio","first_name":"Ignacio"},{"full_name":"Jorswieck, Eduard","last_name":"Jorswieck","first_name":"Eduard"},{"first_name":"Bruno","last_name":"Clerckx","full_name":"Clerckx, Bruno"}],"date_created":"2024-04-05T09:01:04Z","year":"2023","page":"1-1","citation":{"short":"M. Soleymani, I. Santamaria, E. Jorswieck, B. Clerckx, IEEE Transactions on Wireless Communications (2023) 1–1.","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} }","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>.","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>","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>.","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>."},"publication_identifier":{"issn":["1536-1276","1558-2248"]},"publication_status":"published"},{"publication":"Evolution Equations and Control Theory","type":"journal_article","status":"public","user_id":"31496","_id":"53317","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Control and Optimization","Modeling and Simulation"],"issue":"6","publication_identifier":{"issn":["2163-2480"]},"publication_status":"published","intvolume":"        12","page":"1676-1687","citation":{"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>.","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>.","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>","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>","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} }","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>.","short":"Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687."},"year":"2023","volume":12,"author":[{"first_name":"Youshan","last_name":"Tao","full_name":"Tao, Youshan"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_created":"2024-04-07T12:30:25Z","publisher":"American Institute of Mathematical Sciences (AIMS)","date_updated":"2024-04-07T12:36:17Z","doi":"10.3934/eect.2023031","title":"Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities"},{"publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_updated":"2024-04-07T12:36:00Z","author":[{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_created":"2024-04-07T12:34:35Z","title":"A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion","doi":"10.4171/aihpc/73","publication_identifier":{"issn":["0294-1449","1873-1430"]},"publication_status":"published","year":"2023","citation":{"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>.","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>.","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>","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>","short":"M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire (2023).","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} }","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>."},"_id":"53320","user_id":"31496","keyword":["Mathematical Physics","Analysis","Applied Mathematics"],"language":[{"iso":"eng"}],"publication":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","type":"journal_article","status":"public"},{"doi":"10.1080/00036811.2023.2173183","title":"Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities","volume":103,"date_created":"2024-04-07T12:32:55Z","author":[{"first_name":"Genglin","full_name":"Li, Genglin","last_name":"Li"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_updated":"2024-04-07T12:36:11Z","publisher":"Informa UK Limited","page":"45-64","intvolume":"       103","citation":{"short":"G. Li, M. Winkler, Applicable Analysis 103 (2023) 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>.","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} }","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>.","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>.","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>"},"year":"2023","issue":"1","publication_identifier":{"issn":["0003-6811","1563-504X"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"user_id":"31496","_id":"53318","status":"public","publication":"Applicable Analysis","type":"journal_article"},{"_id":"53328","user_id":"31496","status":"public","type":"journal_article","doi":"10.1142/s0218202523500045","date_updated":"2024-04-07T12:43:17Z","volume":33,"author":[{"last_name":"Tao","full_name":"Tao, Youshan","first_name":"Youshan"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"intvolume":"        33","page":"103-138","citation":{"short":"Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.","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} }","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>.","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>","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>.","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>.","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>"},"publication_identifier":{"issn":["0218-2025","1793-6314"]},"publication_status":"published","keyword":["Applied Mathematics","Modeling and Simulation"],"language":[{"iso":"eng"}],"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"}],"publication":"Mathematical Models and Methods in Applied Sciences","title":"Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers","publisher":"World Scientific Pub Co Pte Ltd","date_created":"2024-04-07T12:43:13Z","year":"2023","issue":"01"},{"issue":"6","publication_status":"published","publication_identifier":{"issn":["0944-2669","1432-0835"]},"citation":{"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>.","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>.","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>","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} }","short":"J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).","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>"},"intvolume":"        62","year":"2023","date_created":"2024-04-07T12:40:02Z","author":[{"first_name":"Jaewook","last_name":"Ahn","full_name":"Ahn, Jaewook"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":62,"date_updated":"2024-04-07T12:40:06Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s00526-023-02523-5","title":"A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system","type":"journal_article","publication":"Calculus of Variations and Partial Differential Equations","status":"public","user_id":"31496","_id":"53324","language":[{"iso":"eng"}],"article_number":"180","keyword":["Applied Mathematics","Analysis"]},{"publication":"Nonlinear Analysis: Real World Applications","type":"journal_article","status":"public","user_id":"31496","_id":"53329","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","General Economics","Econometrics and Finance","General Engineering","General Medicine","Analysis"],"article_number":"103820","publication_identifier":{"issn":["1468-1218"]},"publication_status":"published","intvolume":"        71","citation":{"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>","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>.","short":"Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).","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>","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>.","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>."},"year":"2023","volume":71,"author":[{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_created":"2024-04-07T12:43:49Z","publisher":"Elsevier BV","date_updated":"2024-04-07T12:43:53Z","doi":"10.1016/j.nonrwa.2022.103820","title":"Analysis of a chemotaxis-SIS epidemic model with unbounded infection force"},{"issue":"2","publication_identifier":{"issn":["1539-6746","1945-0796"]},"publication_status":"published","intvolume":"        21","page":"299-322","citation":{"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>","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} }","short":"G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.","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>.","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>.","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>.","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>"},"year":"2023","volume":21,"date_created":"2024-04-07T12:41:49Z","author":[{"full_name":"Li, Genglin","last_name":"Li","first_name":"Genglin"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_updated":"2024-04-07T12:41:54Z","publisher":"International Press of Boston","doi":"10.4310/cms.2023.v21.n2.a1","title":"Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities","publication":"Communications in Mathematical Sciences","type":"journal_article","status":"public","user_id":"31496","_id":"53326","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"]}]