A meshless symplectic algorithm for multi-variate Hamiltonian PDEs with radial basis approximation
From MaRDI portal
Publication:1653606
DOI10.1016/j.enganabound.2014.08.015zbMath1403.65105OpenAlexW1999631242MaRDI QIDQ1653606
Publication date: 6 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.08.015
Related Items
A meshless scheme for Hamiltonian partial differential equations with conservation properties ⋮ Meshless symplectic and multi-symplectic local RBF collocation methods for nonlinear Schrödinger equation ⋮ A meshless multi-symplectic local radial basis function collocation scheme for the ``good Boussinesq equation ⋮ Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations ⋮ Meshless conservative scheme for multivariate nonlinear Hamiltonian PDEs ⋮ A Kernel-Based Meshless Conservative Galerkin Method for Solving Hamiltonian Wave Equations ⋮ A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation ⋮ Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise ⋮ Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations ⋮ A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction ⋮ Energy-preserving schemes for conservative PDEs based on periodic quasi-interpolation methods ⋮ A symplectic procedure for two-dimensional coupled elastic wave equations using radial basis functions interpolation ⋮ Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation ⋮ Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations ⋮ Near conserving energy numerical schemes for two-dimensional coupled seismic wave equations ⋮ A meshless symplectic algorithm for nonlinear wave equation using highly accurate RBFs quasi-interpolation ⋮ Radial basis functions method for valuing options: a multinomial tree approach ⋮ A meshless symplectic method for two-dimensional Schrödinger equation with radial basis functions ⋮ An energy-momentum conserving scheme for Hamiltonian wave equation based on multiquadric trigonometric quasi-interpolation ⋮ Meshless symplectic and multi-symplectic local RBF collocation methods for Hamiltonian PDEs ⋮ Meshless symplectic and multi-symplectic algorithm for Klein-Gordon-Schrödinger system with local RBF collocation ⋮ A flexible symplectic scheme for two-dimensional Schrödinger equation with highly accurate RBFS quasi-interpolation ⋮ A conservative scheme for two-dimensional Schrödinger equation based on multiquadric trigonometric quasi-interpolation approach
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- A numerical study of some radial basis function based solution methods for elliptic PDEs
- A symplectic algorithm for wave equations
- Symplectic integration of Hamiltonian wave equations
- Symplectic and multisymplectic schemes with the simple finite element method
- Generalized Strang-Fix condition for scattered data quasi-interpolation
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Symplectic wavelet collocation method for Hamiltonian wave equations
- Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method
- Conserved quantities of some Hamiltonian wave equations after full discretization
- Symplectic Geometric Algorithms for Hamiltonian Systems
- Scattered Data Interpolation: Tests of Some Method
- Local error estimates for radial basis function interpolation of scattered data
- Element‐free Galerkin methods
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Numerical methods for Hamiltonian PDEs
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
This page was built for publication: A meshless symplectic algorithm for multi-variate Hamiltonian PDEs with radial basis approximation
