Hong, Jialin; Hou, Baohui; Sun, Liying; Zhang, Xiaojing Novel structure-preserving schemes for stochastic Klein-Gordon-Schrödinger equations with additive noise. (English) Zbl 07811329 J. Comput. Phys. 500, Article ID 112740, 20 p. (2024). MSC: 60Hxx 65Mxx 65Cxx PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 500, Article ID 112740, 20 p. (2024; Zbl 07811329) Full Text: DOI arXiv
Hong, Jialin; Hou, Baohui; Li, Qiang; Sun, Liying Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations. (English) Zbl 07568553 J. Comput. Phys. 467, Article ID 111453, 24 p. (2022). MSC: 65Mxx 60Hxx 65Pxx PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 467, Article ID 111453, 24 p. (2022; Zbl 07568553) Full Text: DOI arXiv
Hong, Jialin; Hou, Baohui; Sun, Liying Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise. (English) Zbl 07517148 J. Comput. Phys. 451, Article ID 110829, 20 p. (2022). MSC: 60Hxx 65Mxx 65Cxx PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 451, Article ID 110829, 20 p. (2022; Zbl 07517148) Full Text: DOI arXiv
Chen, Chuchu; Hong, Jialin; Sim, Chol; Sonwu, Kwang Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations. (English) Zbl 07506165 J. Comput. Phys. 418, Article ID 109599, 18 p. (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{C. Chen} et al., J. Comput. Phys. 418, Article ID 109599, 18 p. (2020; Zbl 07506165) Full Text: DOI arXiv
Cohen, David; Cui, Jianbo; Hong, Jialin; Sun, Liying Exponential integrators for stochastic Maxwell’s equations driven by Itô noise. (English) Zbl 1436.60061 J. Comput. Phys. 410, Article ID 109382, 20 p. (2020). MSC: 60H15 65C30 35R60 PDFBibTeX XMLCite \textit{D. Cohen} et al., J. Comput. Phys. 410, Article ID 109382, 20 p. (2020; Zbl 1436.60061) Full Text: DOI arXiv
Cui, Jianbo; Hong, Jialin; Liu, Zhihui; Zhou, Weien Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion. (English) Zbl 1380.65417 J. Comput. Phys. 342, 267-285 (2017). MSC: 65P10 35Q55 35R60 PDFBibTeX XMLCite \textit{J. Cui} et al., J. Comput. Phys. 342, 267--285 (2017; Zbl 1380.65417) Full Text: DOI arXiv
Hong, Jialin; Ji, Lihai; Zhang, Liying; Cai, Jiaxiang An energy-conserving method for stochastic Maxwell equations with multiplicative noise. (English) Zbl 1380.65302 J. Comput. Phys. 351, 216-229 (2017). MSC: 65M70 35Q61 35R60 78M25 PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 351, 216--229 (2017; Zbl 1380.65302) Full Text: DOI arXiv
Chen, Chuchu; Hong, Jialin; Zhang, Liying Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods. (English) Zbl 1351.78061 J. Comput. Phys. 306, 500-519 (2016). MSC: 78M25 65P10 35Q61 35R60 37H10 65M75 78A25 PDFBibTeX XMLCite \textit{C. Chen} et al., J. Comput. Phys. 306, 500--519 (2016; Zbl 1351.78061) Full Text: DOI arXiv
Hong, Jialin; Ji, Lihai; Kong, Linghua Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers. (English) Zbl 1349.78092 J. Comput. Phys. 269, 201-214 (2014). MSC: 78M20 65M06 35Q61 PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 269, 201--214 (2014; Zbl 1349.78092) Full Text: DOI
Hong, Jialin; Ji, Lihai; Zhang, Liying A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise. (English) Zbl 1349.65536 J. Comput. Phys. 268, 255-268 (2014). MSC: 65M75 60H35 PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 268, 255--268 (2014; Zbl 1349.65536) Full Text: DOI
Kong, Linghua; Hong, Jialin; Zhang, Jingjing Splitting multisymplectic integrators for Maxwell’s equations. (English) Zbl 1192.78045 J. Comput. Phys. 229, No. 11, 4259-4278 (2010). MSC: 78M25 65L06 65P10 PDFBibTeX XMLCite \textit{L. Kong} et al., J. Comput. Phys. 229, No. 11, 4259--4278 (2010; Zbl 1192.78045) Full Text: DOI
Hong, Jialin; Jiang, Shanshan; Li, Chun Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations. (English) Zbl 1164.65035 J. Comput. Phys. 228, No. 9, 3517-3532 (2009). MSC: 65P10 37M15 35Q55 37K10 65L06 PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 228, No. 9, 3517--3532 (2008; Zbl 1164.65035) Full Text: DOI
Hong, Jialin; Liu, Xiao-Yan; Li, Chun Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients. (English) Zbl 1132.65112 J. Comput. Phys. 226, No. 2, 1968-1984 (2007). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 35Q55 37K10 37M15 PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 226, No. 2, 1968--1984 (2007; Zbl 1132.65112) Full Text: DOI
Hong, Jialin; Li, Chun Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations. (English) Zbl 1120.65341 J. Comput. Phys. 211, No. 2, 448-472 (2006). MSC: 65P10 35Q40 81Q05 37M15 PDFBibTeX XMLCite \textit{J. Hong} and \textit{C. Li}, J. Comput. Phys. 211, No. 2, 448--472 (2006; Zbl 1120.65341) Full Text: DOI