Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations

DOI10.1007/s00211-008-0170-xzbMath1158.65085OpenAlexW2141124203MaRDI QIDQ957930

Jialin Hong, Ya-Juan Sun

Publication date: 1 December 2008

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-008-0170-x

zbMATH Keywords

conservation lawsHamilton-Jacobi equationgenerating functionmulti-symplectic Runge-Kutta methodsHamiltonian equations of motion

Mathematics Subject Classification ID

Related Items (6)

Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems ⋮ Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations ⋮ Structure-preserving numerical methods for infinite-dimensional Birkhoffian systems ⋮ Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC ⋮ Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model ⋮ The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs

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