Variational description for the generating function method of first kind

DOI10.1007/S102550200073zbMath1026.65126OpenAlexW2040460765MaRDI QIDQ1566070

Ya-Juan Sun, Meng-Zhao Qin

Publication date: 27 May 2003

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

Full work available at URL: https://doi.org/10.1007/s102550200073

zbMATH Keywords

numerical experimentsgenerating function methodmultisymplectic schemesemi-linear wave equationsvariational descriptionHamiltonian ordinary differential equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

• Unnamed Item
• Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
• Poisson manifolds and the Schouten bracket
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation
• Mechanical integrators derived from a discrete variational principle
• Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
• Symplectic integration of Hamiltonian systems
• Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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