González-Pinto, S.; Hernández-Abreu, D. Convergence in the maximum norm of ADI-type methods for parabolic problems. (English) Zbl 1522.65141 Appl. Numer. Math. 171, 269-280 (2022). MSC: 65M06 65N06 65M08 65N08 65L06 65M12 35K58 35B35 PDFBibTeX XMLCite \textit{S. González-Pinto} and \textit{D. Hernández-Abreu}, Appl. Numer. Math. 171, 269--280 (2022; Zbl 1522.65141) Full Text: DOI arXiv
González-Pinto, S.; Hairer, E.; Hernandez-Abreu, Domingo Convergence in \(\ell_2\) and \(\ell_\infty\) norm of one-stage AMF-W-methods for parabolic problems. (English) Zbl 1436.65129 SIAM J. Numer. Anal. 58, No. 2, 1117-1137 (2020). MSC: 65M20 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., SIAM J. Numer. Anal. 58, No. 2, 1117--1137 (2020; Zbl 1436.65129) 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
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
González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S. W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs. (English) Zbl 1372.65254 J. Comput. Appl. Math. 316, 143-160 (2017). MSC: 65M12 65M15 65M20 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., J. Comput. Appl. Math. 316, 143--160 (2017; Zbl 1372.65254) 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
González-Pinto, S.; Hernández-Abreu, D. Splitting-methods based on approximate matrix factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs. (English) Zbl 1336.65153 Appl. Numer. Math. 104, 166-181 (2016). MSC: 65M20 65M06 65L06 35K57 65M12 PDFBibTeX XMLCite \textit{S. González-Pinto} and \textit{D. Hernández-Abreu}, Appl. Numer. Math. 104, 166--181 (2016; Zbl 1336.65153) Full Text: DOI
Gonzalez-Pinto, S.; Hernandez-Abreu, D.; Perez-Rodriguez, S. AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs. (English) Zbl 1317.65190 J. Comput. Appl. Math. 289, 3-21 (2015). MSC: 65M20 65L06 65L05 65M12 65M15 65M06 35K57 PDFBibTeX XMLCite \textit{S. Gonzalez-Pinto} et al., J. Comput. Appl. Math. 289, 3--21 (2015; Zbl 1317.65190) 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
González-Pinto, S.; Pérez-Rodríguez, S. A variable time-step-size code for advection-diffusion-reaction PDEs. (English) Zbl 1259.65137 Appl. Numer. Math. 62, No. 10, 1447-1462 (2012). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M20 65M06 65L06 65M12 35K57 65M15 PDFBibTeX XMLCite \textit{S. González-Pinto} and \textit{S. Pérez-Rodríguez}, Appl. Numer. Math. 62, No. 10, 1447--1462 (2012; Zbl 1259.65137) Full Text: DOI
Perez-Rodriguez, S.; Gonzalez-Pinto, S.; Sommeijer, B. P. An iterated Radau method for time-dependent PDEs. (English) Zbl 1168.65049 J. Comput. Appl. Math. 231, No. 1, 49-66 (2009). MSC: 65M20 65M12 35K55 65L05 65H10 34A34 PDFBibTeX XMLCite \textit{S. Perez-Rodriguez} et al., J. Comput. Appl. Math. 231, No. 1, 49--66 (2009; Zbl 1168.65049) Full Text: DOI