Derivation of the discrete conservation laws for a family of finite difference schemes

DOI10.1016/0096-3003(94)90137-6zbMath0806.65081OpenAlexW2052045393MaRDI QIDQ1336041

Salvador Jiménez

Publication date: 12 October 1994

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90137-6

zbMATH Keywords

conservation lawsKlein-Gordon equationSchrödinger equationconservative difference schemesDirac field equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

• The numerical study of a nonlinear one-dimensional Dirac equation
• Numerical solution of a nonlinear wave equation in polar coordinates
• Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
• Existence of localized solutions for a classical nonlinear Dirac field
• Motion of a charge in a magnetic dipole field. I: Painlevé analysis and a conservative numerical scheme
• Finite-difference solutions of a non-linear Schrödinger equation
• Numerical solution of a nonlinear Klein-Gordon equation
• Methods for the Numerical Solution of the Nonlinear Schroedinger Equation
• Unnamed Item

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