Meshless symplectic and multi-symplectic local RBF collocation methods for Hamiltonian PDEs
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Publication:2050560
DOI10.1007/s10915-021-01605-wOpenAlexW3195417925WikidataQ114225591 ScholiaQ114225591MaRDI QIDQ2050560
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
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)
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Cites Work
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- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
- An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term
- Semi-explicit symplectic partitioned Runge-Kutta Fourier pseudo-spectral scheme for Klein-Gordon-Schrödinger equations
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Meshfree explicit local radial basis function collocation method for diffusion problems
- A meshless symplectic algorithm for multi-variate Hamiltonian PDEs with radial basis approximation
- A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
- Local discontinuous Galerkin methods for nonlinear Schrödinger equations
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
- A meshless symplectic method for two-dimensional Schrödinger equation with radial basis functions
- A symplectic procedure for two-dimensional coupled elastic wave equations using radial basis functions interpolation
- Symplectic wavelet collocation method for Hamiltonian wave equations
- Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations
- Symplectic Runge--Kutta Semidiscretization for Stochastic Schrödinger Equation
- Linear Stability of Partitioned Runge–Kutta Methods
- High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
- Local error estimates for radial basis function interpolation of scattered data
- Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs
- Extrinsic Meshless Collocation Methods for PDEs on Manifolds
- The Multisymplectic Diamond Scheme
- A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces
- On the multiple hyperbolic systems modelling phase transformation kinetics
- Numerical methods for Hamiltonian PDEs
