A comment on the use and accuracy of the Richardson deferred approach to the limit

DOI10.1016/0010-4655(88)90183-XzbMath0812.65079OpenAlexW1968585819MaRDI QIDQ1344212

Michael J. Jamieson

Publication date: 18 May 1995

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(88)90183-x

zbMATH Keywords

Schrödinger equationfinite difference methodsRichardson extrapolationsecond-order methodsCoulomb singularitycentrifugal singularityeigenvalue differential equations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

PERSYS--A program for the solution near the origin of coupled channel Schrödinger equation with singular potential ⋮ A note on solving coupled second-order linear differential equations

Cites Work

• Unnamed Item
• Use and accuracy of the Richardson deferred approach to the limit
• 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
• The numerical solution of coupled differential equations arising from the Schrödinger equation
• The Numerov method and singular potentials

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