Accelerated convergence for Schrödinger equations with non-smooth potentials

DOI10.1007/S10543-013-0465-XzbMath1308.35239OpenAlexW2156073216MaRDI QIDQ466810

Emil Kieri

Publication date: 31 October 2014

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-013-0465-x

zbMATH Keywords

hydrogen atomionizationCoulomb potentialFourier collocation

Mathematics Subject Classification ID

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) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Enriched spectral method for stiff convection-dominated equations

Cites Work

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• On Magnus Integrators for Time-Dependent Schrödinger Equations
• The Exponential Accuracy of Fourier and Chebyshev Differencing Methods
• Filters, mollifiers and the computation of the Gibbs phenomenon
• An Optimized Perfectly Matched Layer for the Schrödinger Equation

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