--- _id: '51208' abstract: - lang: eng text: AbstractApproximation 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. author: - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken citation: ama: Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. Published online 2024. doi:10.1007/s10589-024-00552-0 apa: Gebken, B. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. https://doi.org/10.1007/s10589-024-00552-0 bibtex: '@article{Gebken_2024, title={A note on the convergence of deterministic gradient sampling in nonsmooth optimization}, DOI={10.1007/s10589-024-00552-0}, journal={Computational Optimization and Applications}, publisher={Springer Science and Business Media LLC}, author={Gebken, Bennet}, year={2024} }' chicago: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, 2024. https://doi.org/10.1007/s10589-024-00552-0. ieee: 'B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” Computational Optimization and Applications, 2024, doi: 10.1007/s10589-024-00552-0.' mla: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, Springer Science and Business Media LLC, 2024, doi:10.1007/s10589-024-00552-0. short: B. Gebken, Computational Optimization and Applications (2024). date_created: 2024-02-07T07:23:23Z date_updated: 2024-02-08T08:05:54Z department: - _id: '101' doi: 10.1007/s10589-024-00552-0 keyword: - Applied Mathematics - Computational Mathematics - Control and Optimization language: - iso: eng publication: Computational Optimization and Applications publication_identifier: issn: - 0926-6003 - 1573-2894 publication_status: published publisher: Springer Science and Business Media LLC status: public title: A note on the convergence of deterministic gradient sampling in nonsmooth optimization type: journal_article user_id: '32643' year: '2024' ... --- _id: '52218' article_number: '112642' author: - first_name: Peter full_name: Lenz, Peter last_name: Lenz - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Lenz P, Mahnken R. Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. International Journal of Solids and Structures. 2024;290. doi:10.1016/j.ijsolstr.2023.112642 apa: Lenz, P., & Mahnken, R. (2024). Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. International Journal of Solids and Structures, 290, Article 112642. https://doi.org/10.1016/j.ijsolstr.2023.112642 bibtex: '@article{Lenz_Mahnken_2024, title={Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains}, volume={290}, DOI={10.1016/j.ijsolstr.2023.112642}, number={112642}, journal={International Journal of Solids and Structures}, publisher={Elsevier BV}, author={Lenz, Peter and Mahnken, Rolf}, year={2024} }' chicago: Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” International Journal of Solids and Structures 290 (2024). https://doi.org/10.1016/j.ijsolstr.2023.112642. ieee: 'P. Lenz and R. Mahnken, “Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains,” International Journal of Solids and Structures, vol. 290, Art. no. 112642, 2024, doi: 10.1016/j.ijsolstr.2023.112642.' mla: Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” International Journal of Solids and Structures, vol. 290, 112642, Elsevier BV, 2024, doi:10.1016/j.ijsolstr.2023.112642. short: P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024). date_created: 2024-02-29T13:57:56Z date_updated: 2024-02-29T13:58:14Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1016/j.ijsolstr.2023.112642 intvolume: ' 290' keyword: - Applied Mathematics - Mechanical Engineering - Mechanics of Materials - Condensed Matter Physics - General Materials Science - Modeling and Simulation language: - iso: eng publication: International Journal of Solids and Structures publication_identifier: issn: - 0020-7683 publication_status: published publisher: Elsevier BV quality_controlled: '1' status: public title: Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains type: journal_article user_id: '335' volume: 290 year: '2024' ... --- _id: '52233' abstract: - lang: eng text: ELDIRK methods are defined to have an Explicit Last stage in the general Butcher array of Diagonal Implicit Runge-Kutta 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. author: - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken - first_name: Hendrik full_name: Westermann, Hendrik id: '60816' last_name: Westermann orcid: 0000-0002-5034-9708 citation: ama: Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics. Published online 2024. doi:10.1007/s00466-024-02442-y apa: Mahnken, R., & Westermann, H. (2024). Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics. https://doi.org/10.1007/s00466-024-02442-y bibtex: '@article{Mahnken_Westermann_2024, title={Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods}, DOI={10.1007/s00466-024-02442-y}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf and Westermann, Hendrik}, year={2024} }' chicago: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” Computational Mechanics, 2024. https://doi.org/10.1007/s00466-024-02442-y. ieee: 'R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods,” Computational Mechanics, 2024, doi: 10.1007/s00466-024-02442-y.' mla: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” Computational Mechanics, Springer Science and Business Media LLC, 2024, doi:10.1007/s00466-024-02442-y. short: R. Mahnken, H. Westermann, Computational Mechanics (2024). date_created: 2024-03-03T13:23:28Z date_updated: 2024-03-19T12:14:07Z department: - _id: '154' - _id: '321' doi: 10.1007/s00466-024-02442-y keyword: - Applied Mathematics - Computational Mathematics - Computational Theory and Mathematics - Mechanical Engineering - Ocean Engineering - Computational Mechanics language: - iso: eng publication: Computational Mechanics publication_identifier: issn: - 0178-7675 - 1432-0924 publication_status: published publisher: Springer Science and Business Media LLC quality_controlled: '1' status: public title: Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods type: journal_article user_id: '335' year: '2024' ... --- _id: '52726' 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. article_type: original author: - first_name: Christian full_name: Bick, Christian last_name: Bick - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 citation: ama: Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks. 2024;12(2). doi:10.1093/comnet/cnae009 apa: Bick, C., & von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks, 12(2). https://doi.org/10.1093/comnet/cnae009 bibtex: '@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network dynamical systems with higher-order interactions}, volume={12}, DOI={10.1093/comnet/cnae009}, number={2}, journal={Journal of Complex Networks}, publisher={Oxford University Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024} }' chicago: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks 12, no. 2 (2024). https://doi.org/10.1093/comnet/cnae009. ieee: 'C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” Journal of Complex Networks, vol. 12, no. 2, 2024, doi: 10.1093/comnet/cnae009.' mla: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009. short: C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024). date_created: 2024-03-22T09:04:57Z date_updated: 2024-03-22T09:11:53Z ddc: - '510' department: - _id: '101' doi: 10.1093/comnet/cnae009 external_id: arxiv: - '2309.02006' file: - access_level: closed content_type: application/pdf creator: svdg date_created: 2024-03-22T09:06:07Z date_updated: 2024-03-22T09:06:07Z file_id: '52728' file_name: heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf file_size: 649155 relation: main_file success: 1 file_date_updated: 2024-03-22T09:06:07Z has_accepted_license: '1' intvolume: ' 12' issue: '2' keyword: - Applied Mathematics - Computational Mathematics - Control and Optimization - Management Science and Operations Research - Computer Networks and Communications language: - iso: eng main_file_link: - open_access: '1' url: https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf oa: '1' publication: Journal of Complex Networks publication_identifier: issn: - 2051-1329 publication_status: published publisher: Oxford University Press (OUP) status: public title: Heteroclinic dynamics in network dynamical systems with higher-order interactions type: journal_article user_id: '97359' volume: 12 year: '2024' ... --- _id: '53300' article_number: '128125' author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken citation: ama: Brennecken D. Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting. Journal of Mathematical Analysis and Applications. 2024;535(2). doi:10.1016/j.jmaa.2024.128125 apa: Brennecken, D. (2024). Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting. Journal of Mathematical Analysis and Applications, 535(2), Article 128125. https://doi.org/10.1016/j.jmaa.2024.128125 bibtex: '@article{Brennecken_2024, title={Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting}, volume={535}, DOI={10.1016/j.jmaa.2024.128125}, number={2128125}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Brennecken, Dominik}, year={2024} }' chicago: Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions in the Dunkl Setting.” Journal of Mathematical Analysis and Applications 535, no. 2 (2024). https://doi.org/10.1016/j.jmaa.2024.128125. ieee: 'D. Brennecken, “Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting,” Journal of Mathematical Analysis and Applications, vol. 535, no. 2, Art. no. 128125, 2024, doi: 10.1016/j.jmaa.2024.128125.' mla: Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions in the Dunkl Setting.” Journal of Mathematical Analysis and Applications, vol. 535, no. 2, 128125, Elsevier BV, 2024, doi:10.1016/j.jmaa.2024.128125. short: D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024). date_created: 2024-04-05T13:55:33Z date_updated: 2024-09-03T14:40:46Z department: - _id: '555' doi: 10.1016/j.jmaa.2024.128125 intvolume: ' 535' issue: '2' keyword: - Applied Mathematics - Analysis language: - iso: eng publication: Journal of Mathematical Analysis and Applications publication_identifier: issn: - 0022-247X publication_status: published publisher: Elsevier BV status: public title: Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting type: journal_article user_id: '55911' volume: 535 year: '2024' ... --- _id: '52089' abstract: - lang: eng text: |- AbstractImage 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

$${\rho }$$

ρ and

$${\eta }$$

η and two regularization parameters

$${\lambda _{0}}$$

λ 0 and

$${\lambda _{1}}$$

λ 1 . 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

$${\rho }$$

ρ and

$${\eta }$$

η 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

$${\lambda _{0}}$$

λ 0 and

$${\lambda _{1}}$$

λ 1 based on the inherent noise in the image. 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 citation: ama: Zietlow C, Lindner JKN. ADMM-TGV image restoration for scientific applications with unbiased parameter choice. Numerical Algorithms. Published online 2024. doi:10.1007/s11075-024-01759-2 apa: Zietlow, C., & Lindner, J. K. N. (2024). ADMM-TGV image restoration for scientific applications with unbiased parameter choice. Numerical Algorithms. https://doi.org/10.1007/s11075-024-01759-2 bibtex: '@article{Zietlow_Lindner_2024, title={ADMM-TGV image restoration for scientific applications with unbiased parameter choice}, DOI={10.1007/s11075-024-01759-2}, journal={Numerical Algorithms}, publisher={Springer Science and Business Media LLC}, author={Zietlow, Christian and Lindner, Jörg K. N.}, year={2024} }' chicago: Zietlow, Christian, and Jörg K. N. Lindner. “ADMM-TGV Image Restoration for Scientific Applications with Unbiased Parameter Choice.” Numerical Algorithms, 2024. https://doi.org/10.1007/s11075-024-01759-2. ieee: 'C. Zietlow and J. K. N. Lindner, “ADMM-TGV image restoration for scientific applications with unbiased parameter choice,” Numerical Algorithms, 2024, doi: 10.1007/s11075-024-01759-2.' mla: Zietlow, Christian, and Jörg K. N. Lindner. “ADMM-TGV Image Restoration for Scientific Applications with Unbiased Parameter Choice.” Numerical Algorithms, Springer Science and Business Media LLC, 2024, doi:10.1007/s11075-024-01759-2. short: C. Zietlow, J.K.N. Lindner, Numerical Algorithms (2024). date_created: 2024-02-27T07:35:36Z date_updated: 2025-01-22T09:06:50Z department: - _id: '286' - _id: '15' doi: 10.1007/s11075-024-01759-2 keyword: - Applied Mathematics language: - iso: eng publication: Numerical Algorithms publication_identifier: issn: - 1017-1398 - 1572-9265 publication_status: published publisher: Springer Science and Business Media LLC status: public title: ADMM-TGV image restoration for scientific applications with unbiased parameter choice type: journal_article user_id: '77496' year: '2024' ... --- _id: '49326' abstract: - lang: eng 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. author: - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 - first_name: Eddie full_name: Nijholt, Eddie last_name: Nijholt - first_name: Bob full_name: Rink, Bob last_name: Rink citation: ama: 'von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics. 2023;83(6):2329-2353. doi:10.1137/23m1561075' apa: 'von der Gracht, S., Nijholt, E., & Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353. https://doi.org/10.1137/23m1561075' bibtex: '@article{von der Gracht_Nijholt_Rink_2023, title={Hypernetworks: Cluster Synchronization Is a Higher-Order Effect}, volume={83}, DOI={10.1137/23m1561075}, number={6}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023}, pages={2329–2353} }' chicago: 'Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53. https://doi.org/10.1137/23m1561075.' ieee: 'S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.' mla: 'von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.' short: S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353. date_created: 2023-11-29T10:50:05Z date_updated: 2023-11-29T10:52:23Z department: - _id: '101' doi: 10.1137/23m1561075 external_id: arxiv: - '2302.08974' intvolume: ' 83' issue: '6' keyword: - Applied Mathematics language: - iso: eng page: 2329-2353 publication: SIAM Journal on Applied Mathematics publication_identifier: issn: - 0036-1399 - 1095-712X publication_status: published publisher: Society for Industrial & Applied Mathematics (SIAM) status: public title: 'Hypernetworks: Cluster Synchronization Is a Higher-Order Effect' type: journal_article user_id: '97359' volume: 83 year: '2023' ... --- _id: '50458' abstract: - lang: eng text: AbstractConsider 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. author: - first_name: Marten full_name: Maack, Marten id: '88252' last_name: Maack - first_name: Friedhelm full_name: Meyer auf der Heide, Friedhelm id: '15523' last_name: Meyer auf der Heide - first_name: Simon full_name: Pukrop, Simon id: '44428' last_name: Pukrop citation: ama: Maack M, Meyer auf der Heide F, Pukrop S. Server Cloud Scheduling. Algorithmica. Published online 2023. doi:10.1007/s00453-023-01189-x apa: Maack, M., Meyer auf der Heide, F., & Pukrop, S. (2023). Server Cloud Scheduling. Algorithmica. https://doi.org/10.1007/s00453-023-01189-x bibtex: '@article{Maack_Meyer auf der Heide_Pukrop_2023, title={Server Cloud Scheduling}, DOI={10.1007/s00453-023-01189-x}, journal={Algorithmica}, publisher={Springer Science and Business Media LLC}, author={Maack, Marten and Meyer auf der Heide, Friedhelm and Pukrop, Simon}, year={2023} }' chicago: Maack, Marten, Friedhelm Meyer auf der Heide, and Simon Pukrop. “Server Cloud Scheduling.” Algorithmica, 2023. https://doi.org/10.1007/s00453-023-01189-x. ieee: 'M. Maack, F. Meyer auf der Heide, and S. Pukrop, “Server Cloud Scheduling,” Algorithmica, 2023, doi: 10.1007/s00453-023-01189-x.' mla: Maack, Marten, et al. “Server Cloud Scheduling.” Algorithmica, Springer Science and Business Media LLC, 2023, doi:10.1007/s00453-023-01189-x. short: M. Maack, F. Meyer auf der Heide, S. Pukrop, Algorithmica (2023). date_created: 2024-01-11T11:10:53Z date_updated: 2024-01-11T11:19:33Z department: - _id: '63' doi: 10.1007/s00453-023-01189-x extern: '1' keyword: - Applied Mathematics - Computer Science Applications - General Computer Science language: - iso: eng project: - _id: '1' grant_number: '160364472' name: 'SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen in dynamischen Märkten ' - _id: '4' name: 'SFB 901 - C: SFB 901 - Project Area C' - _id: '16' grant_number: '160364472' name: 'SFB 901 - C4: SFB 901 - On-The-Fly Compute Centers II: Ausführung komponierter Dienste in konfigurierbaren Rechenzentren (Subproject C4)' publication: Algorithmica publication_identifier: issn: - 0178-4617 - 1432-0541 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Server Cloud Scheduling type: journal_article user_id: '44428' year: '2023' ... --- _id: '51351' author: - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Isaak Hieronymus full_name: Wolf, Isaak Hieronymus id: '88145' last_name: Wolf citation: ama: Steffen E, Wolf IH. Bounds for the chromatic index of signed multigraphs. Discrete Applied Mathematics. 2023;337:185-189. doi:10.1016/j.dam.2023.05.008 apa: Steffen, E., & Wolf, I. H. (2023). Bounds for the chromatic index of signed multigraphs. Discrete Applied Mathematics, 337, 185–189. https://doi.org/10.1016/j.dam.2023.05.008 bibtex: '@article{Steffen_Wolf_2023, title={Bounds for the chromatic index of signed multigraphs}, volume={337}, DOI={10.1016/j.dam.2023.05.008}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={185–189} }' chicago: 'Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” Discrete Applied Mathematics 337 (2023): 185–89. https://doi.org/10.1016/j.dam.2023.05.008.' ieee: 'E. Steffen and I. H. Wolf, “Bounds for the chromatic index of signed multigraphs,” Discrete Applied Mathematics, vol. 337, pp. 185–189, 2023, doi: 10.1016/j.dam.2023.05.008.' mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” Discrete Applied Mathematics, vol. 337, Elsevier BV, 2023, pp. 185–89, doi:10.1016/j.dam.2023.05.008. short: E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189. date_created: 2024-02-14T17:33:29Z date_updated: 2024-02-14T17:33:59Z department: - _id: '542' doi: 10.1016/j.dam.2023.05.008 intvolume: ' 337' keyword: - Applied Mathematics - Discrete Mathematics and Combinatorics language: - iso: eng page: 185-189 publication: Discrete Applied Mathematics publication_identifier: issn: - 0166-218X publication_status: published publisher: Elsevier BV status: public title: Bounds for the chromatic index of signed multigraphs type: journal_article user_id: '15540' volume: 337 year: '2023' ... --- _id: '52806' author: - first_name: H. full_name: Gilbert, H. last_name: Gilbert - first_name: M. full_name: Schürmann, M. last_name: Schürmann - first_name: M. full_name: Liebendörfer, M. last_name: Liebendörfer - first_name: D. full_name: Lawson, D. last_name: Lawson - first_name: M. full_name: Hodds, M. last_name: Hodds citation: 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 & Ireland. International Journal of Mathematical Education in Science and Technology. Published online 2023:1-26. doi:10.1080/0020739x.2023.2184282' apa: 'Gilbert, H., Schürmann, M., Liebendörfer, M., Lawson, D., & Hodds, M. (2023). Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland. International Journal of Mathematical Education in Science and Technology, 1–26. https://doi.org/10.1080/0020739x.2023.2184282' bibtex: '@article{Gilbert_Schürmann_Liebendörfer_Lawson_Hodds_2023, title={Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland}, DOI={10.1080/0020739x.2023.2184282}, 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} }' 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 & Ireland.” International Journal of Mathematical Education in Science and Technology, 2023, 1–26. https://doi.org/10.1080/0020739x.2023.2184282.' 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 & Ireland,” International Journal of Mathematical Education in Science and Technology, pp. 1–26, 2023, doi: 10.1080/0020739x.2023.2184282.' mla: 'Gilbert, H., et al. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain & Ireland.” International Journal of Mathematical Education in Science and Technology, Informa UK Limited, 2023, pp. 1–26, doi:10.1080/0020739x.2023.2184282.' short: H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International Journal of Mathematical Education in Science and Technology (2023) 1–26. date_created: 2024-03-25T10:02:09Z date_updated: 2024-03-25T10:09:21Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.1080/0020739x.2023.2184282 keyword: - Applied Mathematics - Education - Mathematics (miscellaneous) language: - iso: eng page: 1-26 publication: International Journal of Mathematical Education in Science and Technology publication_identifier: issn: - 0020-739X - 1464-5211 publication_status: published publisher: Informa UK Limited status: public title: 'Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland' type: journal_article user_id: '30933' year: '2023' ... --- _id: '45971' abstract: - lang: eng text: "Abstract\r\n 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." author: - first_name: Sören full_name: Bartels, Sören last_name: Bartels - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 - first_name: Zhangxian full_name: Wang, Zhangxian last_name: Wang citation: ama: Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. Published online 2023. doi:10.1093/imanum/drad037 apa: Bartels, S., Kovács, B., & Wang, Z. (2023). Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drad037 bibtex: '@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints}, DOI={10.1093/imanum/drad037}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023} }' chicago: Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis, 2023. https://doi.org/10.1093/imanum/drad037. ieee: 'S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints,” IMA Journal of Numerical Analysis, 2023, doi: 10.1093/imanum/drad037.' mla: Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2023, doi:10.1093/imanum/drad037. short: S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023). date_created: 2023-07-10T12:32:10Z date_updated: 2024-04-03T09:15:27Z department: - _id: '841' doi: 10.1093/imanum/drad037 keyword: - Applied Mathematics - Computational Mathematics - General Mathematics language: - iso: eng publication: IMA Journal of Numerical Analysis publication_identifier: issn: - 0272-4979 - 1464-3642 publication_status: published publisher: Oxford University Press (OUP) status: public title: Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints type: journal_article user_id: '100441' year: '2023' ... --- _id: '53262' author: - first_name: Ignacio full_name: Santamaria, Ignacio last_name: Santamaria - first_name: Mohammad full_name: Soleymani, Mohammad last_name: Soleymani - first_name: Eduard full_name: Jorswieck, Eduard last_name: Jorswieck - first_name: Jesús full_name: Gutiérrez, Jesús last_name: Gutiérrez citation: ama: Santamaria I, Soleymani M, Jorswieck E, Gutiérrez J. SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links. IEEE Signal Processing Letters. 2023;30:923-926. doi:10.1109/lsp.2023.3296902 apa: Santamaria, I., Soleymani, M., Jorswieck, E., & Gutiérrez, J. (2023). SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links. IEEE Signal Processing Letters, 30, 923–926. https://doi.org/10.1109/lsp.2023.3296902 bibtex: '@article{Santamaria_Soleymani_Jorswieck_Gutiérrez_2023, title={SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links}, volume={30}, DOI={10.1109/lsp.2023.3296902}, 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} }' chicago: 'Santamaria, Ignacio, Mohammad Soleymani, Eduard Jorswieck, and Jesús Gutiérrez. “SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links.” IEEE Signal Processing Letters 30 (2023): 923–26. https://doi.org/10.1109/lsp.2023.3296902.' ieee: 'I. Santamaria, M. Soleymani, E. Jorswieck, and J. Gutiérrez, “SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links,” IEEE Signal Processing Letters, vol. 30, pp. 923–926, 2023, doi: 10.1109/lsp.2023.3296902.' mla: Santamaria, Ignacio, et al. “SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links.” IEEE Signal Processing Letters, vol. 30, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 923–26, doi:10.1109/lsp.2023.3296902. short: I. Santamaria, M. Soleymani, E. Jorswieck, J. Gutiérrez, IEEE Signal Processing Letters 30 (2023) 923–926. date_created: 2024-04-05T09:01:21Z date_updated: 2024-04-05T13:20:51Z department: - _id: '263' doi: 10.1109/lsp.2023.3296902 intvolume: ' 30' keyword: - Applied Mathematics - Electrical and Electronic Engineering - Signal Processing language: - iso: eng page: 923-926 publication: IEEE Signal Processing Letters publication_identifier: issn: - 1070-9908 - 1558-2361 publication_status: published publisher: Institute of Electrical and Electronics Engineers (IEEE) status: public title: SNR Maximization in Beyond Diagonal RIS-Assisted Single and Multiple Antenna Links type: journal_article user_id: '67076' volume: 30 year: '2023' ... --- _id: '53261' author: - first_name: Mohammad full_name: Soleymani, Mohammad last_name: Soleymani - first_name: Ignacio full_name: Santamaria, Ignacio last_name: Santamaria - first_name: Eduard full_name: Jorswieck, Eduard last_name: Jorswieck - first_name: Bruno full_name: Clerckx, Bruno last_name: Clerckx citation: ama: Soleymani M, Santamaria I, Jorswieck E, Clerckx B. Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems. IEEE Transactions on Wireless Communications. Published online 2023:1-1. doi:10.1109/twc.2023.3324190 apa: Soleymani, M., Santamaria, I., Jorswieck, E., & Clerckx, B. (2023). Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems. IEEE Transactions on Wireless Communications, 1–1. https://doi.org/10.1109/twc.2023.3324190 bibtex: '@article{Soleymani_Santamaria_Jorswieck_Clerckx_2023, title={Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems}, DOI={10.1109/twc.2023.3324190}, 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} }' chicago: Soleymani, Mohammad, Ignacio Santamaria, Eduard Jorswieck, and Bruno Clerckx. “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-Assisted URLLC Systems.” IEEE Transactions on Wireless Communications, 2023, 1–1. https://doi.org/10.1109/twc.2023.3324190. ieee: 'M. Soleymani, I. Santamaria, E. Jorswieck, and B. Clerckx, “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems,” IEEE Transactions on Wireless Communications, pp. 1–1, 2023, doi: 10.1109/twc.2023.3324190.' mla: Soleymani, Mohammad, et al. “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-Assisted URLLC Systems.” IEEE Transactions on Wireless Communications, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 1–1, doi:10.1109/twc.2023.3324190. short: M. Soleymani, I. Santamaria, E. Jorswieck, B. Clerckx, IEEE Transactions on Wireless Communications (2023) 1–1. date_created: 2024-04-05T09:01:04Z date_updated: 2024-04-05T13:20:40Z department: - _id: '263' doi: 10.1109/twc.2023.3324190 keyword: - Applied Mathematics - Electrical and Electronic Engineering - Computer Science Applications language: - iso: eng page: 1-1 publication: IEEE Transactions on Wireless Communications publication_identifier: issn: - 1536-1276 - 1558-2248 publication_status: published publisher: Institute of Electrical and Electronics Engineers (IEEE) status: public title: Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems type: journal_article user_id: '67076' year: '2023' ... --- _id: '53317' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Tao Y, Winkler M. Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. Evolution Equations and Control Theory. 2023;12(6):1676-1687. doi:10.3934/eect.2023031 apa: Tao, Y., & Winkler, M. (2023). Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. Evolution Equations and Control Theory, 12(6), 1676–1687. https://doi.org/10.3934/eect.2023031 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={10.3934/eect.2023031}, 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} }' chicago: 'Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” Evolution Equations and Control Theory 12, no. 6 (2023): 1676–87. https://doi.org/10.3934/eect.2023031.' ieee: 'Y. Tao and M. Winkler, “Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities,” Evolution Equations and Control Theory, vol. 12, no. 6, pp. 1676–1687, 2023, doi: 10.3934/eect.2023031.' mla: Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” Evolution Equations and Control Theory, vol. 12, no. 6, American Institute of Mathematical Sciences (AIMS), 2023, pp. 1676–87, doi:10.3934/eect.2023031. short: Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687. date_created: 2024-04-07T12:30:25Z date_updated: 2024-04-07T12:36:17Z doi: 10.3934/eect.2023031 intvolume: ' 12' issue: '6' keyword: - Applied Mathematics - Control and Optimization - Modeling and Simulation language: - iso: eng page: 1676-1687 publication: Evolution Equations and Control Theory publication_identifier: issn: - 2163-2480 publication_status: published publisher: American Institute of Mathematical Sciences (AIMS) status: public title: Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities type: journal_article user_id: '31496' volume: 12 year: '2023' ... --- _id: '53320' author: - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Winkler M. A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. Published online 2023. doi:10.4171/aihpc/73 apa: Winkler, M. (2023). A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire. https://doi.org/10.4171/aihpc/73 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={10.4171/aihpc/73}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2023} }' chicago: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, 2023. https://doi.org/10.4171/aihpc/73. ieee: 'M. Winkler, “A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion,” Annales de l’Institut Henri Poincaré C, Analyse non linéaire, 2023, doi: 10.4171/aihpc/73.' mla: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, European Mathematical Society - EMS - Publishing House GmbH, 2023, doi:10.4171/aihpc/73. short: M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire (2023). date_created: 2024-04-07T12:34:35Z date_updated: 2024-04-07T12:36:00Z doi: 10.4171/aihpc/73 keyword: - Mathematical Physics - Analysis - Applied Mathematics language: - iso: eng publication: Annales de l'Institut Henri Poincaré C, Analyse non linéaire publication_identifier: issn: - 0294-1449 - 1873-1430 publication_status: published publisher: European Mathematical Society - EMS - Publishing House GmbH status: public title: A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion type: journal_article user_id: '31496' year: '2023' ... --- _id: '53318' author: - first_name: Genglin full_name: Li, Genglin last_name: Li - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. Applicable Analysis. 2023;103(1):45-64. doi:10.1080/00036811.2023.2173183 apa: Li, G., & Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. Applicable Analysis, 103(1), 45–64. https://doi.org/10.1080/00036811.2023.2173183 bibtex: '@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities}, volume={103}, DOI={10.1080/00036811.2023.2173183}, number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={45–64} }' chicago: 'Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Applicable Analysis 103, no. 1 (2023): 45–64. https://doi.org/10.1080/00036811.2023.2173183.' ieee: 'G. Li and M. Winkler, “Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities,” Applicable Analysis, vol. 103, no. 1, pp. 45–64, 2023, doi: 10.1080/00036811.2023.2173183.' mla: Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Applicable Analysis, vol. 103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi:10.1080/00036811.2023.2173183. short: G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64. date_created: 2024-04-07T12:32:55Z date_updated: 2024-04-07T12:36:11Z doi: 10.1080/00036811.2023.2173183 intvolume: ' 103' issue: '1' keyword: - Applied Mathematics - Analysis language: - iso: eng page: 45-64 publication: Applicable Analysis publication_identifier: issn: - 0003-6811 - 1563-504X publication_status: published publisher: Informa UK Limited status: public title: Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities type: journal_article user_id: '31496' volume: 103 year: '2023' ... --- _id: '53328' abstract: - lang: eng text: 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. author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Tao Y, Winkler M. Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences. 2023;33(01):103-138. doi:10.1142/s0218202523500045 apa: Tao, Y., & Winkler, M. (2023). Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences, 33(01), 103–138. https://doi.org/10.1142/s0218202523500045 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={10.1142/s0218202523500045}, 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} }' chicago: 'Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” Mathematical Models and Methods in Applied Sciences 33, no. 01 (2023): 103–38. https://doi.org/10.1142/s0218202523500045.' ieee: 'Y. Tao and M. Winkler, “Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers,” Mathematical Models and Methods in Applied Sciences, vol. 33, no. 01, pp. 103–138, 2023, doi: 10.1142/s0218202523500045.' mla: Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” Mathematical Models and Methods in Applied Sciences, vol. 33, no. 01, World Scientific Pub Co Pte Ltd, 2023, pp. 103–38, doi:10.1142/s0218202523500045. short: Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138. date_created: 2024-04-07T12:43:13Z date_updated: 2024-04-07T12:43:17Z doi: 10.1142/s0218202523500045 intvolume: ' 33' issue: '01' keyword: - Applied Mathematics - Modeling and Simulation language: - iso: eng page: 103-138 publication: Mathematical Models and Methods in Applied Sciences publication_identifier: issn: - 0218-2025 - 1793-6314 publication_status: published publisher: World Scientific Pub Co Pte Ltd status: public title: Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers type: journal_article user_id: '31496' volume: 33 year: '2023' ... --- _id: '53324' article_number: '180' author: - first_name: Jaewook full_name: Ahn, Jaewook last_name: Ahn - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations. 2023;62(6). doi:10.1007/s00526-023-02523-5 apa: Ahn, J., & Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations, 62(6), Article 180. https://doi.org/10.1007/s00526-023-02523-5 bibtex: '@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system}, volume={62}, DOI={10.1007/s00526-023-02523-5}, 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} }' chicago: Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” Calculus of Variations and Partial Differential Equations 62, no. 6 (2023). https://doi.org/10.1007/s00526-023-02523-5. ieee: 'J. Ahn and M. Winkler, “A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system,” Calculus of Variations and Partial Differential Equations, vol. 62, no. 6, Art. no. 180, 2023, doi: 10.1007/s00526-023-02523-5.' mla: Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” Calculus of Variations and Partial Differential Equations, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023, doi:10.1007/s00526-023-02523-5. short: J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023). date_created: 2024-04-07T12:40:02Z date_updated: 2024-04-07T12:40:06Z doi: 10.1007/s00526-023-02523-5 intvolume: ' 62' issue: '6' keyword: - Applied Mathematics - Analysis language: - iso: eng publication: Calculus of Variations and Partial Differential Equations publication_identifier: issn: - 0944-2669 - 1432-0835 publication_status: published publisher: Springer Science and Business Media LLC status: public title: A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system type: journal_article user_id: '31496' volume: 62 year: '2023' ... --- _id: '53329' article_number: '103820' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: 'Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Nonlinear Analysis: Real World Applications. 2023;71. doi:10.1016/j.nonrwa.2022.103820' apa: 'Tao, Y., & Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Nonlinear Analysis: Real World Applications, 71, Article 103820. https://doi.org/10.1016/j.nonrwa.2022.103820' bibtex: '@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic model with unbounded infection force}, volume={71}, DOI={10.1016/j.nonrwa.2022.103820}, number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }' chicago: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” Nonlinear Analysis: Real World Applications 71 (2023). https://doi.org/10.1016/j.nonrwa.2022.103820.' ieee: 'Y. Tao and M. Winkler, “Analysis of a chemotaxis-SIS epidemic model with unbounded infection force,” Nonlinear Analysis: Real World Applications, vol. 71, Art. no. 103820, 2023, doi: 10.1016/j.nonrwa.2022.103820.' mla: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” Nonlinear Analysis: Real World Applications, vol. 71, 103820, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2022.103820.' short: 'Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).' date_created: 2024-04-07T12:43:49Z date_updated: 2024-04-07T12:43:53Z doi: 10.1016/j.nonrwa.2022.103820 intvolume: ' 71' keyword: - Applied Mathematics - Computational Mathematics - General Economics - Econometrics and Finance - General Engineering - General Medicine - Analysis language: - iso: eng publication: 'Nonlinear Analysis: Real World Applications' publication_identifier: issn: - 1468-1218 publication_status: published publisher: Elsevier BV status: public title: Analysis of a chemotaxis-SIS epidemic model with unbounded infection force type: journal_article user_id: '31496' volume: 71 year: '2023' ... --- _id: '53326' author: - first_name: Genglin full_name: Li, Genglin last_name: Li - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences. 2023;21(2):299-322. doi:10.4310/cms.2023.v21.n2.a1 apa: Li, G., & Winkler, M. (2023). Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences, 21(2), 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1 bibtex: '@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities}, volume={21}, DOI={10.4310/cms.2023.v21.n2.a1}, number={2}, journal={Communications in Mathematical Sciences}, publisher={International Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322} }' chicago: 'Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Communications in Mathematical Sciences 21, no. 2 (2023): 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1.' ieee: 'G. Li and M. Winkler, “Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities,” Communications in Mathematical Sciences, vol. 21, no. 2, pp. 299–322, 2023, doi: 10.4310/cms.2023.v21.n2.a1.' mla: Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Communications in Mathematical Sciences, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322, doi:10.4310/cms.2023.v21.n2.a1. short: G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322. date_created: 2024-04-07T12:41:49Z date_updated: 2024-04-07T12:41:54Z doi: 10.4310/cms.2023.v21.n2.a1 intvolume: ' 21' issue: '2' keyword: - Applied Mathematics - General Mathematics language: - iso: eng page: 299-322 publication: Communications in Mathematical Sciences publication_identifier: issn: - 1539-6746 - 1945-0796 publication_status: published publisher: International Press of Boston status: public title: Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities type: journal_article user_id: '31496' volume: 21 year: '2023' ...