Invariant conservation law-preserving discretizations of linear and nonlinear wave equations
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Publication:5140983
DOI10.1063/5.0004372zbMath1454.65057arXiv2007.07821OpenAlexW3048624228MaRDI QIDQ5140983
Vladimir Dorodnitsyn, E. I. Kaptsov, Alexei F. Cheviakov
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07821
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear elasticity (74B20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications of Lie (super)algebras to physics, etc. (17B81) Finite difference methods for boundary value problems involving PDEs (65N06) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical solutions to abstract evolution equations (65J08)
Related Items (7)
One-Dimensional Flows of a Polytropic Gas: Lie Group Classification, Conservation Laws, Invariant and Conservative Difference Schemes ⋮ Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter: Comparisons, relations, approximate solutions ⋮ Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation ⋮ Conservative invariant finite‐difference schemes for the modified shallow water equations in Lagrangian coordinates ⋮ Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates ⋮ Global spectral analysis: review of numerical methods ⋮ Discrete shallow water equations preserving symmetries and conservation laws
Uses Software
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