Log-derivative methods based on linear two-step integration formulae

DOI10.1016/0010-4655(91)90063-QzbMath1019.65506OpenAlexW2075416255MaRDI QIDQ1366030

M. García

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1016/0010-4655(91)90063-q

zbMATH Keywords

Schrödinger equationRiccati equationeigenvalue problemswave functionsatomic and molecular scatteringlinear two-step integration formulaelog-derivative methods

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) (S)-matrix theory, etc. in quantum theory (81U20) 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)

On Johnson's log-derivative algorithm for a single equation ⋮ Error estimation in molecular vibrational energies calculated by Johnson's log-derivative method

Cites Work

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• Trapezoidal Methods of Approximating Solutions of Differential Equations
• [https://portal.mardi4nfdi.de/wiki/Publication:5339699 On the Numerical Solution of y � = f(x, y) by a Class of Formulae Based on Rational Approximation]

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