Multi-symplectic Birkhoffian structure for PDEs with dissipation terms

DOI10.1016/j.physleta.2010.04.011zbMath1237.37055arXivmath/0302299OpenAlexW2064582061MaRDI QIDQ415056

Hongling Su, Rudolf Scherer, Yu Shun Wang, Meng-Zhao Qin

Publication date: 11 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302299

zbMATH Keywords

Birkhoffian multi-symplectic integratorBirkhoffian structureconservation of multi-symplecticitydiscrete variational principlePDEs with dissipation termself-adjoint system

Mathematics Subject Classification ID

Related Items (10)

Multi-conformal-symplectic PDEs and discretizations ⋮ Energy/dissipation-preserving birkhoffian multi-symplectic methods for Maxwell's equations with dissipation terms ⋮ Second order conformal symplectic schemes for damped Hamiltonian systems ⋮ Structure-preserving numerical methods for infinite-dimensional Birkhoffian systems ⋮ Dissipation-preserving spectral element method for damped seismic wave equations ⋮ Exponential integrators preserving local conservation laws of PDEs with time-dependent damping/driving forces ⋮ Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems ⋮ A Conformal Energy-Conserved Method for Maxwell’s Equations with Perfectly Matched Layers ⋮ Exponential integrators based on discrete gradients for linearly damped/driven Poisson systems ⋮ Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation

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• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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