The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs
type: Item
instance of: scholarly article
title: The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs
zbMATH Open document ID: 1480.65365
author: Yonghui Bo
author: Jiaxiang Cai
author: Wenjun Cai
author: Yushun Wang
published in: Journal of Computational and Applied Mathematics
publication date: 2022-01-20T00:00:00Z
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 65M25
zbMATH DE Number: 7460151
zbMATH Keywords: Hamiltonian PDEs
zbMATH Keywords: multi-symplectic formulations
zbMATH Keywords: local energy-preserving schemes
zbMATH Keywords: global energy-preserving schemes
zbMATH Keywords: linearly implicit schemes
describes a project that uses: LIMbook
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113955
OpenAlex ID: W4200038023
Wikidata QID: Q114201943
cites work: Discrete mechanics and variational integrators
cites work: Q4277618
cites work: Runge-Kutta schemes for Hamiltonian systems
cites work: Q3809192
cites work: A Note on the Generating Function Method
cites work: Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
cites work: A new class of energy-preserving numerical integration methods
cites work: Inherently energy conserving time finite elements for classical mechanics
cites work: Geometric integration using discrete gradients
cites work: Efficient energy-preserving integrators for oscillatory Hamiltonian systems
cites work: A general symplectic scheme with three free parameters and its applications
cites work: Geometric Numerical Integration
cites work: Simulating Hamiltonian Dynamics
cites work: Line Integral Methods for Conservative Problems
cites work: Symplectic Geometric Algorithms for Hamiltonian Systems
cites work: Q4315882
cites work: Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
cites work: Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method
cites work: Multisymplectic geometry, variational integrators, and nonlinear PDEs
cites work: Multi-symplectic structures and wave propagation
cites work: Q5398789
cites work: Multisymplectic box schemes and the Korteweg-de Vries equation.
cites work: High Order Multisymplectic Runge--Kutta Methods
cites work: Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations
cites work: Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
cites work: Quadratic invariants and multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
cites work: The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
cites work: Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation
cites work: Symplectic wavelet collocation method for Hamiltonian wave equations
cites work: Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs
cites work: Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
cites work: Local structure-preserving algorithms for partial differential equations
cites work: General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs
cites work: Efficient energy‐preserving scheme of the three‐coupled nonlinear Schrödinger equation
cites work: Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
cites work: Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations
cites work: Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system
cites work: Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System
cites work: Linearly Implicit Local and Global Energy-Preserving Methods for PDEs with a Cubic Hamiltonian
cites work: A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach
cites work: Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs
cites work: Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
cites work: Multi-symplectic integration of the Camassa-Holm equation
cites work: Multi-symplectic method for peakon-antipeakon collision of quasi-Degasperis-Procesi equation
cites work: Energy-conserving Hamiltonian boundary value methods for the numerical solution of the Korteweg-de Vries equation
cites work: Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations
cites work: High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation
DOI: 10.1016/J.CAM.2021.113955
description: scientific article; zbMATH DE number 7460151