P-stable exponentially fitted methods for the numerical integration of the Schrödinger equation

DOI10.1006/jcph.1998.6103zbMath0924.65073OpenAlexW2057753587MaRDI QIDQ1282420

Theodore E. Simos

Publication date: 10 November 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6103

zbMATH Keywords

wavefunctioneigenvaluesperiodic solutionfinite difference methodsP-stabilitymultistep methodsphase shiftexponentially fittedradial Schrödinger equationresonance problemperiodic stabilitybound-state problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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