Johnson's log derivative algorithm rederived

DOI10.1006/JCPH.1993.1062zbMath0788.65077OpenAlexW2014700174WikidataQ60303680 ScholiaQ60303680MaRDI QIDQ1208902

Atul D. Pradhan, David E. Manolopoulos, Michael J. Jamieson

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1006/jcph.1993.1062

zbMATH Keywords

finite differencescattering problemswave functionstability of methodsJohnson's log derivative algorithmpotential algorithmradial matrix Schrödinger equations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Nonlinear ordinary differential equations and systems (34A34) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

Coupled channel methods for solving the bound-state Schrödinger equation ⋮ On Johnson's log-derivative algorithm for a single equation ⋮ \textsc{bound} and \textsc{field}: programs for calculating bound states of interacting pairs of atoms and molecules ⋮ \textsc{molscat}: a program for non-reactive quantum scattering calculations on atomic and molecular collisions ⋮ Minimal relativity and Hulthén potentials ⋮ Error estimation in molecular vibrational energies calculated by Johnson's log-derivative method

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