Comparison of numerical methods for solving the second-order differential equations of molecular scattering theory

DOI10.1016/0021-9991(81)90103-0zbMath0459.65064OpenAlexW2002499513MaRDI QIDQ1152207

S. H. Smith

Publication date: 1981

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

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1013908/

zbMATH Keywords

test problemscomparison of numerical methodsmolecular scattering theoryinelastic molecular collisionssecond- order differential equations

Mathematics Subject Classification ID

Quantum scattering theory (81U99) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Ordinary differential operators (34L99)

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Cites Work

• 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 multichannel log-derivative method for scattering calculations
• A method for the numerical integration of differential equations of second order without explicit first derivatives
• On the Numerical Integration of Certain Differential Equations of the Second Order
• The automatic integration of ordinary differential equations
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