A Galerkin Radial Basis Function Method for the Schrödinger Equation

DOI10.1137/120893975zbMath1287.65079OpenAlexW2074056953WikidataQ60511938 ScholiaQ60511938MaRDI QIDQ5404616

Katharina Kormann, Elisabeth Larsson

Publication date: 28 March 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8c7097455edf2313f6c3f8f3eeacf190960ef37a

zbMATH Keywords

convergenceGalerkin methodcollocationradial basis functiontime-dependent Schrödinger equationexponential integrator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

Nonlinear filtering via stochastic PDE projection on mixture manifolds in \(L^2\) direct metric ⋮ Numerical simulation of 3D nonlinear Schrödinger equations by using the localized method of approximate particular solutions ⋮ A de-singularized meshfree approach to default probability estimation under a regime-switching synchronous-jump tempered stable Lévy model ⋮ A Kernel-Based Meshless Conservative Galerkin Method for Solving Hamiltonian Wave Equations ⋮ Domain decomposition method for the \(N\)-body time-independent and time-dependent Schrödinger equations ⋮ A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs ⋮ An Explicit Hermite-Taylor Method for the Schrödinger Equation

Uses Software

• Matlab

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