Meshless symplectic and multi-symplectic local RBF collocation methods for Hamiltonian PDEs

DOI10.1007/s10915-021-01605-wOpenAlexW3195417925WikidataQ114225591 ScholiaQ114225591MaRDI QIDQ2050560

Shengliang Zhang

Publication date: 31 August 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01605-w

zbMATH Keywords

symplecticmulti-symplecticHamiltonian PDEslocal RBF collocation method

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Geometry and quantization, symplectic methods (81S10) Interpolation in approximation theory (41A05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items

A meshless multi-symplectic local radial basis function collocation scheme for the ``good Boussinesq equation, Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations, Structure-preserving combined high-order compact schemes for multiple order spatial derivatives differential equations, Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation, Meshless symplectic and multi-symplectic algorithm for Klein-Gordon-Schrödinger system with local RBF collocation, Acceleration of RBF-FD meshless phase-field modelling of dendritic solidification by space-time adaptive approach, Symplectic central difference scheme for quasi-linear autonomous Birkhoffian systems

Uses Software

• Matlab

Cites Work

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