scientific article; zbMATH DE number 6262751
From MaRDI portal
Publication:5398789
DOI10.3969/j.issn.1006-6330.2013.02.001zbMath1289.65278MaRDI QIDQ5398789
Publication date: 28 February 2014
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
algorithmsHamiltonian partial differential equationmulti-symplectic algorithmstructure-preserving method
Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations ⋮ Fully discretized energy stable schemes for hydrodynamic equations governing two-phase viscous fluid flows ⋮ An improved Störmer-Verlet method based on exact discretization for nonlinear oscillators ⋮ Exact combined traveling wave solutions and multi-symplectic structure of the variant Boussinesq-Whitham-Broer-Kaup type equations ⋮ Efficient high-order structure-preserving methods for the generalized Rosenau-type equation with power law nonlinearity ⋮ A fourth-order AVF method for the numerical integration of sine-Gordon equation ⋮ A Conformal Energy-Conserved Method for Maxwell’s Equations with Perfectly Matched Layers ⋮ Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs ⋮ Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection ⋮ A review on stochastic multi-symplectic methods for stochastic Maxwell equations ⋮ Exact solutions and multi-symplectic structure of the generalized KdV-type equation ⋮ Structure-preserving Galerkin POD reduced-order modeling of Hamiltonian systems ⋮ The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs