Huang, Juntao; Izgin, Thomas; Kopecz, Stefan; Meister, Andreas; Shu, Chi-Wang On the stability of strong-stability-preserving modified Patankar-Runge-Kutta schemes. (English) Zbl 1515.65192 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1063-1086 (2023). MSC: 65L06 65L05 65L20 PDFBibTeX XMLCite \textit{J. Huang} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1063--1086 (2023; Zbl 1515.65192) Full Text: DOI arXiv
Ávila, Andrés I.; González, Galo Javier; Kopecz, Stefan; Meister, Andreas Extension of modified Patankar-Runge-Kutta schemes to nonautonomous production-destruction systems based on Oliver’s approach. (English) Zbl 1459.65110 J. Comput. Appl. Math. 389, Article ID 113350, 14 p. (2021). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{A. I. Ávila} et al., J. Comput. Appl. Math. 389, Article ID 113350, 14 p. (2021; Zbl 1459.65110) Full Text: DOI
Kopecz, S.; Meister, A. On order conditions for modified Patankar-Runge-Kutta schemes. (English) Zbl 1377.65089 Appl. Numer. Math. 123, 159-179 (2018). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{S. Kopecz} and \textit{A. Meister}, Appl. Numer. Math. 123, 159--179 (2018; Zbl 1377.65089) Full Text: DOI arXiv
Ávila, A. I.; Meister, A.; Steigemann, M. On numerical methods for nonlinear singularly perturbed Schrödinger problems. (English) Zbl 1310.65117 Appl. Numer. Math. 86, 22-42 (2014). MSC: 65M60 35Q55 35B25 PDFBibTeX XMLCite \textit{A. I. Ávila} et al., Appl. Numer. Math. 86, 22--42 (2014; Zbl 1310.65117) Full Text: DOI
Broekhuizen, N.; Rickard, Graham J.; Bruggeman, J.; Meister, A. An improved and generalized second order, unconditionally positive, mass conserving integration scheme for biochemical systems. (English) Zbl 1136.65067 Appl. Numer. Math. 58, No. 3, 319-340 (2008). MSC: 65L05 34A30 34A35 92E20 92C40 65L06 PDFBibTeX XMLCite \textit{N. Broekhuizen} et al., Appl. Numer. Math. 58, No. 3, 319--340 (2008; Zbl 1136.65067) Full Text: DOI
Birken, P.; Meister, A. Stability of preconditioned finite volume schemes at low Mach numbers. (English) Zbl 1124.76038 BIT 45, No. 3, 463-480 (2005). MSC: 76M12 65M06 65M12 76G25 PDFBibTeX XMLCite \textit{P. Birken} and \textit{A. Meister}, BIT 45, No. 3, 463--480 (2005; Zbl 1124.76038) 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