Well-posedness and the energy and charge conservation for nonlinear wave equations in discrete space-time

DOI10.1134/S1061920811040030zbMath1326.35334arXiv1008.3032OpenAlexW3105301603MaRDI QIDQ2344118

Andrew Komech, Alexander I. Komech

Publication date: 12 May 2015

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3032

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

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Cites Work

• Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string
• Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
• Numerical solution of a nonlinear Klein-Gordon equation
• Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
• Finite-difference schemes for nonlinear wave equation that inherit energy conservation property

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