Krylov subspace spectral methods for the time-dependent Schrödinger equation with non-smooth potentials

DOI10.1007/s11075-009-9278-zzbMath1168.65055OpenAlexW2133719542MaRDI QIDQ1027787

James V. Lambers

Publication date: 30 June 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9278-z

zbMATH Keywords

stabilitynumerical resultsLanczos methodSchrödinger equationGaussian quadratureKrylov subspace methodvariable coefficientSpectral methods

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Modeling of first-order photobleaching kinetics using Krylov subspace spectral methods ⋮ Spectral Methods for Time-Dependent Variable-Coefficient PDE Based on Block Gaussian Quadrature ⋮ Convergence analysis of Krylov subspace spectral methods for reaction-diffusion equations ⋮ Solution of nonlinear time-dependent PDEs through componentwise approximation of matrix functions ⋮ Explicit high-order time stepping based on componentwise application of asymptotic block Lanczos iteration

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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