Structure-preserving combined high-order compact schemes for multiple order spatial derivatives differential equations

DOI10.1007/s10915-023-02219-0zbMath1518.65095MaRDI QIDQ6159251

Huacheng Guo, Peng-Fei Zhu, Linghua Kong, Meng Chen, Unnamed Author

Publication date: 20 June 2023

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

conservation lawscomputational efficiencycoupled nonlinear Schrödinger equationsstructure-preserving schemecombined high-order compact schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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