Blanes, S.; Casas, F.; Chartier, P.; Murua, A. Optimized high-order splitting methods for some classes of parabolic equations. (English) Zbl 1278.65075 Math. Comput. 82, No. 283, 1559-1576 (2013). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J08 47D06 65L05 34G10 PDF BibTeX XML Cite \textit{S. Blanes} et al., Math. Comput. 82, No. 283, 1559--1576 (2013; Zbl 1278.65075) Full Text: DOI
Hansen, Eskil; Kramer, Felix; Ostermann, Alexander A second-order positivity preserving scheme for semilinear parabolic problems. (English) Zbl 1267.65082 Appl. Numer. Math. 62, No. 10, 1428-1435 (2012). Reviewer: Thomas Sonar (Braunschweig) MSC: 65L05 34G20 35K90 35K58 65L20 PDF BibTeX XML Cite \textit{E. Hansen} et al., Appl. Numer. Math. 62, No. 10, 1428--1435 (2012; Zbl 1267.65082) Full Text: DOI
Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild Defect-based local error estimators for splitting methods, with application to Schrödinger equations. I: The linear case. (English) Zbl 1238.65091 J. Comput. Appl. Math. 236, No. 10, 2643-2659 (2012). MSC: 65M15 35Q41 65M99 PDF BibTeX XML Cite \textit{W. Auzinger} et al., J. Comput. Appl. Math. 236, No. 10, 2643--2659 (2012; Zbl 1238.65091) Full Text: DOI
Jahnke, Tobias; Altıntan, Derya Efficient simulation of discrete stochastic reaction systems with a splitting method. (English) Zbl 1205.65023 BIT 50, No. 4, 797-822 (2010). MSC: 65C30 60H10 60H35 34F05 60J75 65L70 47D06 92C42 PDF BibTeX XML Cite \textit{T. Jahnke} and \textit{D. Altıntan}, BIT 50, No. 4, 797--822 (2010; Zbl 1205.65023) Full Text: DOI
Descombes, Stéphane; Thalhammer, Mechthild An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime. (English) Zbl 1205.65250 BIT 50, No. 4, 729-749 (2010). MSC: 65M15 35Q40 81Q05 35K20 65M06 65M12 PDF BibTeX XML Cite \textit{S. Descombes} and \textit{M. Thalhammer}, BIT 50, No. 4, 729--749 (2010; Zbl 1205.65250) Full Text: DOI
Hansen, Eskil; Ostermann, Alexander Exponential splitting for unbounded operators. (English) Zbl 1198.65185 Math. Comput. 78, No. 267, 1485-1496 (2009). MSC: 65M15 65J10 65L05 35Q40 PDF BibTeX XML Cite \textit{E. Hansen} and \textit{A. Ostermann}, Math. Comput. 78, No. 267, 1485--1496 (2009; Zbl 1198.65185) Full Text: DOI
Faou, Erwan Analysis of splitting methods for reaction-diffusion problems using stochastic calculus. (English) Zbl 1198.65184 Math. Comput. 78, No. 267, 1467-1483 (2009). MSC: 65M15 60H30 65C05 PDF BibTeX XML Cite \textit{E. Faou}, Math. Comput. 78, No. 267, 1467--1483 (2009; Zbl 1198.65184) Full Text: DOI
Hansen, Eskil; Ostermann, Alexander Dimension splitting for evolution equations. (English) Zbl 1149.65084 Numer. Math. 108, No. 4, 557-570 (2008). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M70 35K90 65M12 PDF BibTeX XML Cite \textit{E. Hansen} and \textit{A. Ostermann}, Numer. Math. 108, No. 4, 557--570 (2008; Zbl 1149.65084) Full Text: DOI
Le Roux, S.; Zérah, G. Convergence stability and estimator in orbital free electronic structure calculation on a grid at finite temperature. (English) Zbl 1351.82103 J. Comput. Phys. 226, No. 2, 2063-2077 (2007). MSC: 82D10 65Z05 81V10 PDF BibTeX XML Cite \textit{S. Le Roux} and \textit{G. Zérah}, J. Comput. Phys. 226, No. 2, 2063--2077 (2007; Zbl 1351.82103) Full Text: DOI
Descombes, Stéphane; Dumont, Thierry; Louvet, Violaine; Massot, Marc On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients. (English) Zbl 1122.65061 Int. J. Comput. Math. 84, No. 6, 749-765 (2007). Reviewer: Qin Mengzhao (Beijing) MSC: 65L05 65M12 65M15 65M20 34A30 35K57 PDF BibTeX XML Cite \textit{S. Descombes} et al., Int. J. Comput. Math. 84, No. 6, 749--765 (2007; Zbl 1122.65061) Full Text: DOI