De Vogelaere's method for the numerical integration of second-order differential equations without explicit first derivatives: Application to coupled equations arising from the Schrödinger equation

DOI10.1016/0021-9991(68)90025-9zbMath0167.45404OpenAlexW2053720845WikidataQ115365285 ScholiaQ115365285MaRDI QIDQ2530895

William A. jun. Lester

Publication date: 1968

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

Full work available at URL: https://doi.org/10.1016/0021-9991(68)90025-9

zbMATH Keywords

numerical analysis

Related Items

A comment on the use and accuracy of the Richardson deferred approach to the limit, An exponentially fitted two-step method with predictor-corrector form for the solution of nonlinear or coupled Schrödinger equations, A note on solving coupled second-order linear differential equations, Generalized Green’s functions and spectral densities in the complex energy plane, Comparison of numerical methods for solving the second-order differential equations of molecular scattering theory, A four-step method for the numerical solution of the Schrödinger equation, Algorithms for the solution of systems of coupled second-order ordinary differential equations, The numerical solution of coupled differential equations arising from the Schrödinger equation, De Vogelaere's method for the automatic solution of systems of coupled homogeneous second-order differential equations

Cites Work

• Practical points concerning the solution of the Schrödinger equation
• A method for the numerical integration of differential equations of second order without explicit first derivatives
• The theory of scattering by a rigid rotator
• The Numerical Solution of Second-Order Differential Equations not Containing the First Derivative Explicitly
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