Error Estimates for the Solution of the Radial Schrödinger Equation by the Rayleigh—Ritz Finite Element Method

DOI10.1093/imanum/1.1.47zbMath0474.65064OpenAlexW1995282188MaRDI QIDQ3928957

Schalk W. Schoombie, Joseph Botha

Publication date: 1981

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/1.1.47

zbMATH Keywords

error estimatesharmonic oscillatorradial Schrödinger equationRayleigh-Ritz finite element methodWoods-Saxon potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (4)

Galerkin schemes and the sinc-Galerkin method for singular Sturm- Liouville problems ⋮ On the eigenvalue problem - \(y^{\prime\prime }+f(x)y=\lambda y\) on a semi infinite interval ⋮ Sinc Function computation of the eigenvalues of Sturm-Liouville problems ⋮ Finite element interpolation error bounds with applications to eigenvalue problems

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