A note on the roundoff error in the Numerov algorithm

DOI10.1016/0021-9991(78)90063-3zbMath0406.65039OpenAlexW1998102866MaRDI QIDQ1257758

J. L. Friar

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-9991(78)90063-3

zbMATH Keywords

Ordinary Differential EquationsNumerov's MethodRound Off ErrorPartial Wave Schrödinger's Equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

Integral equation method for the continuous spectrum radial Schrödinger equation ⋮ The formation of a rational S matrix using phase shifts from elastic scattering ⋮ Ubiquity of Benford's law and emergence of the reciprocal distribution ⋮ Numerical multisteps matrix methods for \(Y=f(t,Y)\)

Cites Work

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• On the numerical solution of Schrödinger's radial equation
• A first-order perturbative numerical method for the solution of the radial Schrödinger equation
• Practical points concerning the solution of the Schrödinger equation
• The numerical solution of coupled differential equations arising from the Schrödinger equation
• Stable Predictor-Corrector Methods for Ordinary Differential Equations
• NUMERICAL SOLUTION OF THE HARTREE–FOCK EQUATIONS
• An Improved Eigenvalue Corrector Formula for Solving the Schrodinger Equation for Central Fields

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