Efficient solution of differential equations by analytic continuation

DOI10.1088/0305-4470/18/12/011zbMath0598.65051OpenAlexW2016338479MaRDI QIDQ3732883

A. D. Stauffer, A. Holubec

Publication date: 1985

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/18/12/011

zbMATH Keywords

confluent hypergeometric functionszeros of Bessel functionsregular singular pointCoulomb wave functionssecond order linear equationFrobenius series expansions-wave phaseshift for e-H scattering

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

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Approximate solution of linear ordinary differential equations with variable coefficients ⋮ Rational approximants generated by the \(u\)-transform ⋮ Highly precise solutions of the one-dimensional Schrödinger equation with an arbitrary potential ⋮ Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm

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