Multisymplectic structure and multisymplectic scheme for the nonlinear wave equation

DOI10.1007/s102550200015zbMath1004.65137OpenAlexW1981247295MaRDI QIDQ1611094

Meng-Zhao Qin, Yu Shun Wang

Publication date: 15 September 2002

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200015

zbMATH Keywords

numerical resultsnonlinear wave equationmultisymplectic structuremultisymplectic schemesmultisymplectic Hamiltonian formsmultisymplectic Preissman scheme

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (1)

Multi-symplectic preserving integrator for the Schrödinger equation with wave operator

Cites Work

• Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
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