Finite-difference solution of the coupled-channel Schrödinger equation using Richardson extrapolation

DOI10.1016/0010-4655(94)90168-6zbMath0878.65089OpenAlexW2009769358MaRDI QIDQ1365922

A. G. Abrashkevich, D. G. Abrashkevich

Publication date: 12 January 1998

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

Full work available at URL: https://doi.org/10.1016/0010-4655(94)90168-6

zbMATH Keywords

eigenvalueseigensolutionseigenfunctionsSchrödinger equationRichardson's extrapolationfinite-difference methodbound statesquantum-mechanical problems

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

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• On a generalization of the Richardson extrapolation process
• On Richardson extrapolation for finite difference methods on regular grids
• ASYMPT: A program for calculating asymptotics of hyperspherical potential curves and adiabatic potentials
• Superconvergence and Extrapolation for Mixed Finite Element Methods on Rectangular Domains
• Romberg integration as a problem in interpolation theory

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