Fuhrmann, Jürgen; Gaudeul, Benoît; Keller, Christine Two entropic Finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints. (English) Zbl 07781709 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 285-294 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 78A57 92C37 82D37 82C70 05B45 35Q60 PDFBibTeX XMLCite \textit{J. Fuhrmann} et al., Springer Proc. Math. Stat. 432, 285--294 (2023; Zbl 07781709) Full Text: DOI
Herda, Maxime; Zurek, Antoine Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system. (English) Zbl 1528.65059 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1589-1617 (2023). Reviewer: Severiano Gonzalez Pinto (La Laguna) MSC: 65M08 65M12 35K51 35Q92 92D25 35R60 PDFBibTeX XMLCite \textit{M. Herda} and \textit{A. Zurek}, ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1589--1617 (2023; Zbl 1528.65059) Full Text: DOI arXiv
Helmer, Christoph; Jüngel, Ansgar; Zurek, Antoine Analysis of a finite-volume scheme for a single-species biofilm model. (English) Zbl 07699015 Appl. Numer. Math. 185, 386-405 (2023). MSC: 65-XX 35Kxx 65Mxx 92Cxx PDFBibTeX XMLCite \textit{C. Helmer} et al., Appl. Numer. Math. 185, 386--405 (2023; Zbl 07699015) Full Text: DOI arXiv
Bubba, Federica; Poulain, Alexandre A nonnegativity preserving scheme for the relaxed Cahn-Hilliard equation with single-well potential and degenerate mobility. (English) Zbl 1498.35548 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1741-1772 (2022). MSC: 35Q92 92C37 65M60 65M06 65N30 35K55 35K65 35K35 92-08 PDFBibTeX XMLCite \textit{F. Bubba} and \textit{A. Poulain}, ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1741--1772 (2022; Zbl 1498.35548) Full Text: DOI arXiv
Bourdin, Félicien Splitting scheme for a macroscopic crowd motion model with congestion for a two-typed population. (English) Zbl 1493.35122 Netw. Heterog. Media 17, No. 5, 783-801 (2022). MSC: 35Q92 49Q22 92C17 PDFBibTeX XMLCite \textit{F. Bourdin}, Netw. Heterog. Media 17, No. 5, 783--801 (2022; Zbl 1493.35122) Full Text: DOI
Alonzo, Flavien; Serandour, Aurelien A.; Saad, Mazen Simulating the behaviour of glioblastoma multiforme based on patient MRI during treatments. (English) Zbl 1490.92017 J. Math. Biol. 84, No. 6, Paper No. 44, 38 p. (2022). MSC: 92C32 92C50 92C55 65M60 35Q92 PDFBibTeX XMLCite \textit{F. Alonzo} et al., J. Math. Biol. 84, No. 6, Paper No. 44, 38 p. (2022; Zbl 1490.92017) Full Text: DOI
Bendahmane, Mostafa; Mroue, Fatima; Saad, Mazen A positive cell vertex Godunov scheme for a Beeler-Reuter based model of cardiac electrical activity. (English) Zbl 07777698 Numer. Methods Partial Differ. Equations 37, No. 1, 262-301 (2021). MSC: 65M08 65M60 65N08 65N30 65M06 65M12 65M15 92C30 78A70 35D30 35A01 35Q92 PDFBibTeX XMLCite \textit{M. Bendahmane} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 262--301 (2021; Zbl 07777698) Full Text: DOI
Benamou, Jean-David (ed.); Ehrlacher, Virginie (ed.); Matthes, Daniel (ed.) Applications of optimal transportation in the natural sciences. Abstracts from the workshop held February 21–27, 2021 (online meeting). (English) Zbl 1487.00030 Oberwolfach Rep. 18, No. 1, 507-587 (2021). MSC: 00B05 00B25 49-06 82-06 49Q22 28A33 35Q49 82C70 92Exx PDFBibTeX XMLCite \textit{J.-D. Benamou} (ed.) et al., Oberwolfach Rep. 18, No. 1, 507--587 (2021; Zbl 1487.00030) Full Text: DOI
Jüngel, Ansgar; Zurek, Antoine A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system. (English) Zbl 1476.65208 SIAM J. Numer. Anal. 59, No. 4, 2286-2309 (2021). Reviewer: Michael Jung (Dresden) MSC: 65M08 65M12 65M06 35K51 35Q92 92D25 35B40 PDFBibTeX XMLCite \textit{A. Jüngel} and \textit{A. Zurek}, SIAM J. Numer. Anal. 59, No. 4, 2286--2309 (2021; Zbl 1476.65208) Full Text: DOI arXiv
Ibrahim, Moustafa; Quenjel, El Houssaine; Saad, Mazen Positive nonlinear DDFV scheme for a degenerate parabolic system describing chemotaxis. (English) Zbl 1524.92021 Comput. Math. Appl. 80, No. 12, 2972-3003 (2020). MSC: 92C17 65M08 35K65 35K57 PDFBibTeX XMLCite \textit{M. Ibrahim} et al., Comput. Math. Appl. 80, No. 12, 2972--3003 (2020; Zbl 1524.92021) Full Text: DOI
Benzakour Amine, M. Linearized implicit methods based on a single-layer neural network: application to Keller-Segel models. (English) Zbl 1522.65160 J. Sci. Comput. 85, No. 1, Paper No. 4, 27 p. (2020). MSC: 65M08 92C17 68T05 PDFBibTeX XMLCite \textit{M. Benzakour Amine}, J. Sci. Comput. 85, No. 1, Paper No. 4, 27 p. (2020; Zbl 1522.65160) Full Text: DOI arXiv
Bonizzoni, Francesca; Braukhoff, Marcel; Jüngel, Ansgar; Perugia, Ilaria A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. (English) Zbl 1452.65225 Numer. Math. 146, No. 1, 119-157 (2020). MSC: 65M60 65M06 65M12 35K20 35K57 35B09 35D35 92D25 35Q92 PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., Numer. Math. 146, No. 1, 119--157 (2020; Zbl 1452.65225) Full Text: DOI arXiv
Jüngel, Ansgar; Zurek, Antoine A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems. (English) Zbl 1454.65090 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 223-231 (2020). MSC: 65M08 35K51 35K55 92D25 35Q92 PDFBibTeX XMLCite \textit{A. Jüngel} and \textit{A. Zurek}, Springer Proc. Math. Stat. 323, 223--231 (2020; Zbl 1454.65090) Full Text: DOI arXiv
Bürger, Raimund; Ordoñez, Rafael; Sepúlveda, Mauricio; Villada, Luis Miguel Numerical analysis of a three-species chemotaxis model. (English) Zbl 1452.92007 Comput. Math. Appl. 80, No. 1, 183-203 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 35Q92 35K55 65N08 PDFBibTeX XMLCite \textit{R. Bürger} et al., Comput. Math. Appl. 80, No. 1, 183--203 (2020; Zbl 1452.92007) Full Text: DOI
Perthame, Benoît Models of cell motion and tissue growth. (English) Zbl 1445.74043 Ambrosi, Davide (ed.) et al., The mathematics of mechanobiology. Cetraro, Italy, August 27–31, 2018. Lecture notes given at the CIME course. Cham: Springer. Lect. Notes Math. 2260, 43-80 (2020). MSC: 74L15 92C17 35Q74 35Q92 PDFBibTeX XMLCite \textit{B. Perthame}, Lect. Notes Math. 2260, 43--80 (2020; Zbl 1445.74043) Full Text: DOI
Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka A two-species hyperbolic-parabolic model of tissue growth. (English) Zbl 1425.35198 Commun. Partial Differ. Equations 44, No. 12, 1605-1618 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K65 35B45 76N10 35K55 35K57 92C37 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., Commun. Partial Differ. Equations 44, No. 12, 1605--1618 (2019; Zbl 1425.35198) Full Text: DOI arXiv
Gerstenmayer, Anita; Jüngel, Ansgar Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport. (English) Zbl 1438.65205 Comput. Appl. Math. 38, No. 3, Paper No. 108, 23 p. (2019). MSC: 65M08 65M60 65M06 65M12 35K51 35K65 35Q92 92C37 82C31 PDFBibTeX XMLCite \textit{A. Gerstenmayer} and \textit{A. Jüngel}, Comput. Appl. Math. 38, No. 3, Paper No. 108, 23 p. (2019; Zbl 1438.65205) Full Text: DOI arXiv
Daus, Esther S.; Desvillettes, Laurent; Dietert, Helge About the entropic structure of detailed balanced multi-species cross-diffusion equations. (English) Zbl 1405.35082 J. Differ. Equations 266, No. 7, 3861-3882 (2019). Reviewer: E. Ahmed (Mansoura) MSC: 35K55 35K57 35Q92 60J28 82C22 92D25 PDFBibTeX XMLCite \textit{E. S. Daus} et al., J. Differ. Equations 266, No. 7, 3861--3882 (2019; Zbl 1405.35082) Full Text: DOI arXiv
Egger, H.; Fellner, K.; Pietschmann, J.-F.; Tang, B. Q. Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology. (English) Zbl 1427.65243 Appl. Math. Comput. 336, 351-367 (2018). MSC: 65M60 65M12 35B40 35K57 65M15 92C37 PDFBibTeX XMLCite \textit{H. Egger} et al., Appl. Math. Comput. 336, 351--367 (2018; Zbl 1427.65243) Full Text: DOI arXiv
Foucher, Françoise; Ibrahim, Moustafa; Saad, Mazen Convergence of a positive nonlinear control volume finite element scheme for solving an anisotropic degenerate breast cancer development model. (English) Zbl 1419.65059 Comput. Math. Appl. 76, No. 3, 551-578 (2018). MSC: 65M60 65M12 92C50 65M08 35Q92 PDFBibTeX XMLCite \textit{F. Foucher} et al., Comput. Math. Appl. 76, No. 3, 551--578 (2018; Zbl 1419.65059) Full Text: DOI
Chamoun, Georges; Saad, Mazen; Talhouk, Raafat Numerical analysis of a chemotaxis-swimming bacteria model on a general triangular mesh. (English) Zbl 1380.92010 Appl. Numer. Math. 127, 324-348 (2018). MSC: 92C17 65N08 65N30 PDFBibTeX XMLCite \textit{G. Chamoun} et al., Appl. Numer. Math. 127, 324--348 (2018; Zbl 1380.92010) Full Text: DOI
Ahusborde, E.; Ossmani, M. El A sequential approach for numerical simulation of two-phase multicomponent flow with reactive transport in porous media. (English) Zbl 07313816 Math. Comput. Simul. 137, 71-89 (2017). MSC: 92-XX 80-XX PDFBibTeX XMLCite \textit{E. Ahusborde} and \textit{M. E. Ossmani}, Math. Comput. Simul. 137, 71--89 (2017; Zbl 07313816) Full Text: DOI
Cancès, Clément; Ibrahim, Moustafa; Saad, Mazen Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system. (English) Zbl 1416.65339 SMAI J. Comput. Math. 3, 1-28 (2017). MSC: 65M60 65M08 92C17 92-08 35K57 PDFBibTeX XMLCite \textit{C. Cancès} et al., SMAI J. Comput. Math. 3, 1--28 (2017; Zbl 1416.65339) Full Text: DOI
Bessemoulin-Chatard, Marianne; Saad, Mazen Preserving monotony of combined edge finite volume-finite element scheme for a bone healing model on general mesh. (English) Zbl 1462.65121 J. Comput. Appl. Math. 309, 287-311 (2017). MSC: 65M08 65M60 92C50 35Q92 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{M. Saad}, J. Comput. Appl. Math. 309, 287--311 (2017; Zbl 1462.65121) Full Text: DOI