A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations

DOI10.1016/j.cam.2014.06.027zbMath1296.65113OpenAlexW2051096869MaRDI QIDQ399080

Takayasu Matsuo, Yuto Miyatake

Publication date: 19 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.06.027

zbMATH Keywords

numerical experimentsolitary wave solutiondiscrete gradient methoddiscrete variational derivative methoddynamic grid adaptationenergy conservation/dissipation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Energy-preserving schemes for conservative PDEs based on periodic quasi-interpolation methods ⋮ Adaptive energy preserving methods for partial differential equations ⋮ Conservative or dissipative quasi-interpolation method for evolutionary partial differential equations ⋮ Conservative Galerkin methods for dispersive Hamiltonian problems

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