New insights in the development of Numerov-type methods with minimal phase-lag for the numerical solution of the Schrödinger equation

DOI10.1016/S0097-8485(00)00090-5zbMath1064.65070OpenAlexW1991661634WikidataQ52069174 ScholiaQ52069174MaRDI QIDQ4652430

P. S. Williams, Theodore E. Simos

Publication date: 23 February 2005

Published in: Computers & Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0097-8485(00)00090-5

zbMATH Keywords

error estimatesnumerical examplesFinite differencesMultistep methodsScattering problemsPhase-lagOscillating solutionsCoupled differential equationsPhase shift problemsRadial Schrödinger equationResonance problems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

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