Pandit, Sapna Wavelets computational modeling of nonlinear coupled reaction-diffusion models arising in chemical processes. (English) Zbl 07816021 Math. Methods Appl. Sci. 46, No. 18, 18633-18650 (2023). MSC: 65Mxx 65M20 PDFBibTeX XMLCite \textit{S. Pandit}, Math. Methods Appl. Sci. 46, No. 18, 18633--18650 (2023; Zbl 07816021) Full Text: DOI
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D. High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems. (English) Zbl 1496.65141 J. Comput. Appl. Math. 417, Article ID 114642, 18 p. (2023). MSC: 65M20 65M12 65M15 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., J. Comput. Appl. Math. 417, Article ID 114642, 18 p. (2023; Zbl 1496.65141) Full Text: DOI
González-Pinto, Severiano; Hernández-Abreu, Domingo W-methods and approximate matrix factorization for parabolic PDEs with mixed derivative terms. (English) Zbl 1477.65151 Jax, Tim (ed.) et al., Rosenbrock-Wanner-type methods. Theory and applications. Based on the minisymposium, University of Bath, Bath, UK, September 2017. Cham: Springer. Math. Online First Collect., 69-101 (2021). MSC: 65M20 35K57 65M12 PDFBibTeX XMLCite \textit{S. González-Pinto} and \textit{D. Hernández-Abreu}, in: Rosenbrock-Wanner-type methods. Theory and applications. Based on the minisymposium, University of Bath, Bath, UK, September 2017. Cham: Springer. 69--101 (2021; Zbl 1477.65151) Full Text: DOI
González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S. AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model. (English) Zbl 1458.65107 J. Comput. Appl. Math. 387, Article ID 112518, 19 p. (2021). MSC: 65M06 35L25 91G60 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., J. Comput. Appl. Math. 387, Article ID 112518, 19 p. (2021; Zbl 1458.65107) Full Text: DOI
López-Salas, J. G.; Pérez-Rodríguez, S.; Vázquez, C. AMFR-W numerical methods for solving high-dimensional SABR/LIBOR PDE models. (English) Zbl 1456.65073 SIAM J. Sci. Comput. 43, No. 1, B30-B54 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M20 65M50 65M12 65F50 91G30 91G80 35Q91 65Y05 PDFBibTeX XMLCite \textit{J. G. López-Salas} et al., SIAM J. Sci. Comput. 43, No. 1, B30--B54 (2021; Zbl 1456.65073) Full Text: DOI
Bayani, A.; Dunster, J. L.; Crofts, J. J.; Nelson, M. R. Mechanisms and points of control in the spread of inflammation: a mathematical investigation. (English) Zbl 1437.92016 Bull. Math. Biol. 82, No. 4, Paper No. 45, 22 p. (2020). MSC: 92C17 92C32 35Q92 PDFBibTeX XMLCite \textit{A. Bayani} et al., Bull. Math. Biol. 82, No. 4, Paper No. 45, 22 p. (2020; Zbl 1437.92016) Full Text: DOI
Einkemmer, Lukas; Moccaldi, Martina; Ostermann, Alexander Efficient boundary corrected Strang splitting. (English) Zbl 1427.65087 Appl. Math. Comput. 332, 76-89 (2018). MSC: 65J08 35K20 35K58 PDFBibTeX XMLCite \textit{L. Einkemmer} et al., Appl. Math. Comput. 332, 76--89 (2018; Zbl 1427.65087) Full Text: DOI arXiv
Čiegis, Raimondas; Katauskis, Pranas; Skakauskas, Vladas The robust finite-volume schemes for modeling nonclassical surface reactions. (English) Zbl 1416.92195 Nonlinear Anal., Model. Control 23, No. 2, 234-250 (2018). MSC: 92E20 65M08 35Q92 PDFBibTeX XMLCite \textit{R. Čiegis} et al., Nonlinear Anal., Model. Control 23, No. 2, 234--250 (2018; Zbl 1416.92195) Full Text: DOI
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D.; Pérez-Rodríguez, S. AMF-type W-methods for parabolic problems with mixed derivatives. (English) Zbl 1397.65159 SIAM J. Sci. Comput. 40, No. 5, A2905-A2929 (2018). MSC: 65M12 65M20 91G60 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., SIAM J. Sci. Comput. 40, No. 5, A2905--A2929 (2018; Zbl 1397.65159) Full Text: DOI
Einkemmer, Lukas; Ostermann, Alexander A comparison of boundary correction methods for Strang splitting. (English) Zbl 1397.65155 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2641-2660 (2018). MSC: 65M12 65J08 35K57 35Q53 PDFBibTeX XMLCite \textit{L. Einkemmer} and \textit{A. Ostermann}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2641--2660 (2018; Zbl 1397.65155) Full Text: DOI arXiv
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D.; Pérez-Rodríguez, S. PDE-W-methods for parabolic problems with mixed derivatives. (English) Zbl 1447.65060 Numer. Algorithms 78, No. 3, 957-981 (2018). MSC: 65M20 65M06 65N06 65M12 35K10 65L04 65F05 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., Numer. Algorithms 78, No. 3, 957--981 (2018; Zbl 1447.65060) Full Text: DOI
Cervi, Jessica; Spiteri, Raymond J. High-order operator splitting for the bidomain and monodomain models. (English) Zbl 1385.92005 SIAM J. Sci. Comput. 40, No. 2, A769-A786 (2018). MSC: 92C05 92C30 65M20 PDFBibTeX XMLCite \textit{J. Cervi} and \textit{R. J. Spiteri}, SIAM J. Sci. Comput. 40, No. 2, A769--A786 (2018; Zbl 1385.92005) Full Text: DOI
Jiwari, Ram; Singh, Sukhveer; Kumar, Ajay Numerical simulation to capture the pattern formation of coupled reaction-diffusion models. (English) Zbl 1380.65317 Chaos Solitons Fractals 103, 422-439 (2017). MSC: 65M99 65D30 65D07 35K57 PDFBibTeX XMLCite \textit{R. Jiwari} et al., Chaos Solitons Fractals 103, 422--439 (2017; Zbl 1380.65317) Full Text: DOI
González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S.; Weiner, R. A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs. (English) Zbl 1410.65356 Appl. Math. Comput. 274, 565-584 (2016). MSC: 65M20 65L06 65M06 35K57 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., Appl. Math. Comput. 274, 565--584 (2016; Zbl 1410.65356) Full Text: DOI
Kolbe, Niklas; Kat’uchová, Jana; Sfakianakis, Nikolaos; Hellmann, Nadja; Lukáčová-Medvid’ová, Mária A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: the urokinase model. (English) Zbl 1410.92049 Appl. Math. Comput. 273, 353-376 (2016). MSC: 92C50 35Q92 65M08 65M50 92C17 PDFBibTeX XMLCite \textit{N. Kolbe} et al., Appl. Math. Comput. 273, 353--376 (2016; Zbl 1410.92049) Full Text: DOI
Einkemmer, Lukas; Ostermann, Alexander Overcoming order reduction in diffusion-reaction splitting. II: Oblique boundary conditions. (English) Zbl 1355.65121 SIAM J. Sci. Comput. 38, No. 6, A3741-A3757 (2016). MSC: 65M20 65M12 65L04 PDFBibTeX XMLCite \textit{L. Einkemmer} and \textit{A. Ostermann}, SIAM J. Sci. Comput. 38, No. 6, A3741--A3757 (2016; Zbl 1355.65121) Full Text: DOI arXiv
Huang, Hui; Liu, Jian-Guo Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations. (English) Zbl 1352.65406 Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3463-3478 (2016). MSC: 65M75 65M12 65M15 92C17 PDFBibTeX XMLCite \textit{H. Huang} and \textit{J.-G. Liu}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3463--3478 (2016; Zbl 1352.65406) Full Text: DOI
Einkemmer, Lukas; Ostermann, Alexander Overcoming order reduction in diffusion-reaction splitting. I: Dirichlet boundary conditions. (English) Zbl 1433.65189 SIAM J. Sci. Comput. 37, No. 3, A1577-A1592 (2015). MSC: 65M20 65M12 65L04 PDFBibTeX XMLCite \textit{L. Einkemmer} and \textit{A. Ostermann}, SIAM J. Sci. Comput. 37, No. 3, A1577--A1592 (2015; Zbl 1433.65189) Full Text: DOI arXiv
González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S. Rosenbrock-type methods with inexact AMF for the time integration of advection-diffusion-reaction PDEs. (English) Zbl 1301.65092 J. Comput. Appl. Math. 262, 304-321 (2014). MSC: 65M06 65M12 65M20 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., J. Comput. Appl. Math. 262, 304--321 (2014; Zbl 1301.65092) Full Text: DOI
Kolev, Mikhail K.; Koleva, Miglena N.; Vulkov, Lubin G. Two positivity preserving flux limited, second-order numerical methods for a haptotaxis model. (English) Zbl 1282.92017 Numer. Methods Partial Differ. Equations 29, No. 4, 1121-1148 (2013). Reviewer: Charis Harley (Johannesburg) MSC: 92C50 35Q92 65M06 92-08 PDFBibTeX XMLCite \textit{M. K. Kolev} et al., Numer. Methods Partial Differ. Equations 29, No. 4, 1121--1148 (2013; Zbl 1282.92017) Full Text: DOI
Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. Numerical solutions for fractional reaction-diffusion equations. (English) Zbl 1142.65422 Comput. Math. Appl. 55, No. 10, 2212-2226 (2008). MSC: 65M99 35K57 PDFBibTeX XMLCite \textit{B. Baeumer} et al., Comput. Math. Appl. 55, No. 10, 2212--2226 (2008; Zbl 1142.65422) Full Text: DOI
Gerisch, A.; Chaplain, M. A. J. Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. (English) Zbl 1086.92025 Math. Comput. Modelling 43, No. 1-2, 49-75 (2006). MSC: 92C50 92B05 65N40 35K57 65N22 PDFBibTeX XMLCite \textit{A. Gerisch} and \textit{M. A. J. Chaplain}, Math. Comput. Modelling 43, No. 1--2, 49--75 (2006; Zbl 1086.92025) Full Text: DOI
Csomós, P.; Faragó, I.; Havasi, Á. Weighted sequential splittings and their analysis. (English) Zbl 1086.65053 Comput. Math. Appl. 50, No. 7, 1017-1031 (2005). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J10 34G10 35K90 65M15 65M12 PDFBibTeX XMLCite \textit{P. Csomós} et al., Comput. Math. Appl. 50, No. 7, 1017--1031 (2005; Zbl 1086.65053) Full Text: DOI
Calvo, M. P.; Gerisch, A. Linearly implicit Runge-Kutta methods and approximate matrix factorization. (English) Zbl 1070.65085 Appl. Numer. Math. 53, No. 2-4, 183-200 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 65M20 65L06 65M12 35K55 PDFBibTeX XMLCite \textit{M. P. Calvo} and \textit{A. Gerisch}, Appl. Numer. Math. 53, No. 2--4, 183--200 (2005; Zbl 1070.65085) Full Text: DOI
Burchard, Hans; Deleersnijder, Eric; Meister, Andreas A high-order conservative Patankar-type discretisation for stiff systems of production–destruction equations. (English) Zbl 1028.80008 Appl. Numer. Math. 47, No. 1, 1-30 (2003). MSC: 80A32 92D25 PDFBibTeX XMLCite \textit{H. Burchard} et al., Appl. Numer. Math. 47, No. 1, 1--30 (2003; Zbl 1028.80008) Full Text: DOI
Botchev, M. A.; Verwer, J. G. A new approximate matrix factorization for implicit time integration in air pollution modeling. (English) Zbl 1031.65106 J. Comput. Appl. Math. 157, No. 2, 309-327 (2003). Reviewer: S.Burys (Kraków) MSC: 65M20 65M06 65L06 65F10 35K55 65F50 92D40 PDFBibTeX XMLCite \textit{M. A. Botchev} and \textit{J. G. Verwer}, J. Comput. Appl. Math. 157, No. 2, 309--327 (2003; Zbl 1031.65106) Full Text: DOI
Kennedy, Christopher A.; Carpenter, Mark H. Additive Runge-Kutta schemes for convection-diffusion-reaction equations. (English) Zbl 1013.65103 Appl. Numer. Math. 44, No. 1-2, 139-181 (2003). MSC: 65M20 65L06 65M12 65M15 35B25 35K57 PDFBibTeX XMLCite \textit{C. A. Kennedy} and \textit{M. H. Carpenter}, Appl. Numer. Math. 44, No. 1--2, 139--181 (2003; Zbl 1013.65103) Full Text: DOI