Banica, Valeria; Maierhofer, Georg; Schratz, Katharina Numerical integration of Schrödinger maps via the Hasimoto transform. (English) Zbl 07805448 SIAM J. Numer. Anal. 62, No. 1, 322-352 (2024). MSC: 35Q55 35Q60 35Q35 76B47 78A35 65M70 65T50 65D32 65M12 35B45 35B34 15B05 PDFBibTeX XMLCite \textit{V. Banica} et al., SIAM J. Numer. Anal. 62, No. 1, 322--352 (2024; Zbl 07805448) Full Text: DOI arXiv
Hairer, Ernst; Lubich, Christian; Shi, Yanyan Leapfrog methods for relativistic charged-particle dynamics. (English) Zbl 07778892 SIAM J. Numer. Anal. 61, No. 6, 2844-2858 (2023). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65L05 65P10 78A35 PDFBibTeX XMLCite \textit{E. Hairer} et al., SIAM J. Numer. Anal. 61, No. 6, 2844--2858 (2023; Zbl 07778892) Full Text: DOI arXiv
Colbrook, Matthew J. The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems. (English) Zbl 1517.65038 SIAM J. Numer. Anal. 61, No. 3, 1585-1608 (2023). MSC: 65H99 65P99 47N40 47A10 47B33 37M10 37A05 37N10 PDFBibTeX XMLCite \textit{M. J. Colbrook}, SIAM J. Numer. Anal. 61, No. 3, 1585--1608 (2023; Zbl 1517.65038) Full Text: DOI arXiv
Ohsawa, Tomoki Preservation of quadratic invariants by semiexplicit symplectic integrators for nonseparable Hamiltonian systems. (English) Zbl 1521.37094 SIAM J. Numer. Anal. 61, No. 3, 1293-1315 (2023). MSC: 37M15 65L06 65P10 PDFBibTeX XMLCite \textit{T. Ohsawa}, SIAM J. Numer. Anal. 61, No. 3, 1293--1315 (2023; Zbl 1521.37094) Full Text: DOI arXiv
Wang, Bin; Zhao, Xiaofei Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations. (English) Zbl 1517.65128 SIAM J. Numer. Anal. 61, No. 3, 1246-1277 (2023). MSC: 65P10 65L05 65L20 65L70 65M15 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Zhao}, SIAM J. Numer. Anal. 61, No. 3, 1246--1277 (2023; Zbl 1517.65128) Full Text: DOI arXiv
Colbrook, Matthew J. Computing semigroups with error control. (English) Zbl 1520.65033 SIAM J. Numer. Anal. 60, No. 1, 396-422 (2022). MSC: 65J08 47A10 46N40 PDFBibTeX XMLCite \textit{M. J. Colbrook}, SIAM J. Numer. Anal. 60, No. 1, 396--422 (2022; Zbl 1520.65033) Full Text: DOI arXiv
Bao, Weizhu; Cai, Yongyong; Feng, Yue Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. (English) Zbl 07572363 SIAM J. Numer. Anal. 60, No. 4, 1962-1984 (2022). MSC: 65-XX 35L70 65M12 65M15 65M70 81-08 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Numer. Anal. 60, No. 4, 1962--1984 (2022; Zbl 07572363) Full Text: DOI arXiv
Ju, Lili; Li, Xiao; Qiao, Zhonghua Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows. (English) Zbl 07572361 SIAM J. Numer. Anal. 60, No. 4, 1905-1931 (2022). MSC: 65-XX 35K55 65M12 65M15 65F30 PDFBibTeX XMLCite \textit{L. Ju} et al., SIAM J. Numer. Anal. 60, No. 4, 1905--1931 (2022; Zbl 07572361) Full Text: DOI arXiv
Wang, Bin; Zhao, Xiaofei Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. (English) Zbl 1507.65290 SIAM J. Numer. Anal. 59, No. 4, 2075-2105 (2021). MSC: 65P10 65L05 65L20 65L70 78A35 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Zhao}, SIAM J. Numer. Anal. 59, No. 4, 2075--2105 (2021; Zbl 1507.65290) Full Text: DOI arXiv
Rousset, Frédéric; Schratz, Katharina A general framework of low regularity integrators. (English) Zbl 1486.65127 SIAM J. Numer. Anal. 59, No. 3, 1735-1768 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M12 65M15 35Q41 35Q55 PDFBibTeX XMLCite \textit{F. Rousset} and \textit{K. Schratz}, SIAM J. Numer. Anal. 59, No. 3, 1735--1768 (2021; Zbl 1486.65127) Full Text: DOI arXiv
Bao, Weizhu; Cai, Yongyong; Yin, Jia Uniform error bounds of time-splitting methods for the nonlinear Dirac equation in the nonrelativistic regime without magnetic potential. (English) Zbl 1462.35318 SIAM J. Numer. Anal. 59, No. 2, 1040-1066 (2021). MSC: 35Q41 65M70 65N35 81Q05 35B05 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Numer. Anal. 59, No. 2, 1040--1066 (2021; Zbl 1462.35318) Full Text: DOI arXiv
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Convergence analysis of stochastic structure-preserving schemes for computing effective diffusivity in random flows. (English) Zbl 1509.37120 SIAM J. Numer. Anal. 58, No. 5, 3040-3067 (2020). MSC: 37M25 60J60 60H35 65P10 65M75 76M50 PDFBibTeX XMLCite \textit{J. Lyu} et al., SIAM J. Numer. Anal. 58, No. 5, 3040--3067 (2020; Zbl 1509.37120) Full Text: DOI arXiv
Knöller, Marvin; Ostermann, Alexander; Schratz, Katharina A Fourier integrator for the cubic nonlinear Schrödinger equation with rough initial data. (English) Zbl 1422.65222 SIAM J. Numer. Anal. 57, No. 4, 1967-1986 (2019). MSC: 65M12 65M70 35Q41 65T50 PDFBibTeX XMLCite \textit{M. Knöller} et al., SIAM J. Numer. Anal. 57, No. 4, 1967--1986 (2019; Zbl 1422.65222) Full Text: DOI arXiv
Ostermann, Alexander; Piazzola, Chiara; Walach, Hanna Convergence of a low-rank Lie-Trotter splitting for stiff matrix differential equations. (English) Zbl 1420.65072 SIAM J. Numer. Anal. 57, No. 4, 1947-1966 (2019). MSC: 65L04 65L20 65M12 65F30 49J20 PDFBibTeX XMLCite \textit{A. Ostermann} et al., SIAM J. Numer. Anal. 57, No. 4, 1947--1966 (2019; Zbl 1420.65072) Full Text: DOI arXiv
Wan, Andy T. S.; Nave, Jean-Christophe On the arbitrarily long-term stability of conservative methods. (English) Zbl 1405.65085 SIAM J. Numer. Anal. 56, No. 5, 2751-2775 (2018). Reviewer: Antonio Linero Bas (Murcia) MSC: 65L05 65L12 65L20 65L70 65P10 37M15 PDFBibTeX XMLCite \textit{A. T. S. Wan} and \textit{J.-C. Nave}, SIAM J. Numer. Anal. 56, No. 5, 2751--2775 (2018; Zbl 1405.65085) Full Text: DOI arXiv
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. (English) Zbl 1404.65209 SIAM J. Numer. Anal. 56, No. 4, 2322-2344 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 35Q84 35R60 35B27 60H35 65P10 76R99 65M15 PDFBibTeX XMLCite \textit{Z. Wang} et al., SIAM J. Numer. Anal. 56, No. 4, 2322--2344 (2018; Zbl 1404.65209) Full Text: DOI arXiv
Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe Conservative methods for dynamical systems. (English) Zbl 1375.65104 SIAM J. Numer. Anal. 55, No. 5, 2255-2285 (2017). MSC: 65L12 34A34 65L05 65P10 37M15 65L20 70F05 PDFBibTeX XMLCite \textit{A. T. S. Wan} et al., SIAM J. Numer. Anal. 55, No. 5, 2255--2285 (2017; Zbl 1375.65104) Full Text: DOI arXiv
Grimm, Volker; Göckler, Tanja Automatic smoothness detection of the resolvent Krylov subspace method for the approximation of \(C_0\)-semigroups. (English) Zbl 1367.65070 SIAM J. Numer. Anal. 55, No. 3, 1483-1504 (2017). MSC: 65F60 PDFBibTeX XMLCite \textit{V. Grimm} and \textit{T. Göckler}, SIAM J. Numer. Anal. 55, No. 3, 1483--1504 (2017; Zbl 1367.65070) Full Text: DOI arXiv
Li, Yu-Wen; Wu, Xinyuan Functionally fitted energy-preserving methods for solving oscillatory nonlinear Hamiltonian systems. (English) Zbl 1342.65231 SIAM J. Numer. Anal. 54, No. 4, 2036-2059 (2016). MSC: 65P10 37M15 65L06 65L60 PDFBibTeX XMLCite \textit{Y.-W. Li} and \textit{X. Wu}, SIAM J. Numer. Anal. 54, No. 4, 2036--2059 (2016; Zbl 1342.65231) Full Text: DOI arXiv
Miyatake, Yuto; Butcher, John C. A characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems. (English) Zbl 1342.65232 SIAM J. Numer. Anal. 54, No. 3, 1993-2013 (2016). MSC: 65P10 37M15 65Y05 65L06 PDFBibTeX XMLCite \textit{Y. Miyatake} and \textit{J. C. Butcher}, SIAM J. Numer. Anal. 54, No. 3, 1993--2013 (2016; Zbl 1342.65232) Full Text: DOI arXiv
Sato, Shun; Matsuo, T.; Suzuki, H.; Furihata, D. A Lyapunov-type theorem for dissipative numerical integrators with adaptive time-stepping. (English) Zbl 1330.65194 SIAM J. Numer. Anal. 53, No. 6, 2505-2518 (2015). MSC: 65P10 65J08 PDFBibTeX XMLCite \textit{S. Sato} et al., SIAM J. Numer. Anal. 53, No. 6, 2505--2518 (2015; Zbl 1330.65194) Full Text: DOI Link
Dutta, Rajib; Koley, Ujjwal; Risebro, Nils Henrik Convergence of a higher order scheme for the Korteweg-de Vries equation. (English) Zbl 1342.35301 SIAM J. Numer. Anal. 53, No. 4, 1963-1983 (2015). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35Q53 35D30 65L60 65N30 35C08 PDFBibTeX XMLCite \textit{R. Dutta} et al., SIAM J. Numer. Anal. 53, No. 4, 1963--1983 (2015; Zbl 1342.35301) Full Text: DOI arXiv
Cai, Jiaxiang; Hong, Jialin; Wang, Yushun; Gong, Yuezheng Two energy-conserved splitting methods for three-dimensional time-domain Maxwell’s equations and the convergence analysis. (English) Zbl 1327.65171 SIAM J. Numer. Anal. 53, No. 4, 1918-1940 (2015). MSC: 65M12 65M15 PDFBibTeX XMLCite \textit{J. Cai} et al., SIAM J. Numer. Anal. 53, No. 4, 1918--1940 (2015; Zbl 1327.65171) Full Text: DOI