Solution of a Schrödinger equation by iterative refinement

DOI10.1017/S0334270000008249zbMath0708.65110OpenAlexW2320257224MaRDI QIDQ3490899

Rekha P. Kulkarni, Balmohan V. Limaye

Publication date: 1990

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0334270000008249

zbMATH Keywords

convergenceGalerkin methodnumerical exampleserror boundsSchrödinger equationcompact operatorhybrid methodsimple eigenvaluepower iterationiterative refinementssimple eigensolution

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Schrödinger operator, Schrödinger equation (35J10) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

A variant of the fixed tangent method for spectral computations on integral operators ⋮ Spectral refinements of Newton type for eigenelements of bounded linear operators ⋮ Boundedness of adjoint bases of approximate spectral subspaces and of associated block reduced Resolvents ⋮ Rayleigh-schrödinger series for defective spectral elements of compact operators in banach spaces

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