Eigenvalues of the Schrödinger Equation by the $\alpha $-Interpolation Method

DOI10.1137/0143086zbMath0549.65070OpenAlexW2021747439MaRDI QIDQ3341823

Masahide Hirasawa, Mitsunobu Nakamura

Publication date: 1983

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0143086

zbMATH Keywords

finite element methodnumerical exampleseigenvalueseigenvectorsSchrödinger equationHelmholtz equationalpha-interpolation method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

A Petrov-Galerkin formulation for the alpha interpolation of FEM and FDM stencils: Applications to the Helmholtz equation ⋮ A fourth-order compact scheme for the Helmholtz equation: Alpha-interpolation of FEM and FDM stencils

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