Finite interpolation in Green function deterministic numerical methods
type: Item
instance of: scholarly article
title: Finite interpolation in Green function deterministic numerical methods
zbMATH Open document ID: 0878.65109
author: O. Diekmann
published in: Journal of Computational Physics
publication date: 1998-01-05T00:00:00Z
review text: An expansion on a finite set of interpolating functions is used within the framework of Green function deterministic numerical methods. Applications to some problems with one-dimensional, central and tensor potentials are described. Numerical results are presented and compared with the results of a different technique based on the Hamiltonian and on a discrete variable representation method.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 1036516
zbMATH Keywords: finite interpolation
zbMATH Keywords: Green function deterministic numerical methods
zbMATH Keywords: one-dimensional systems
zbMATH Keywords: numerical examples
zbMATH Keywords: tensor potentials
MaRDI profile type: Publication
full work available at URL: jcph.1997.5652
OpenAlex ID: W2036239633
cites work: Spectral methods in computational quantum mechanics
cites work: Q4003474
cites work: Wigner-like expansion of the short-time propagator and deterministic numerical methods
cites work: Quantum many-particle systems
cites work: Q3714308
cites work: Q4047075
cites work: Q4237478
cites work: Q3848301
DOI: 10.1006/JCPH.1997.5652
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description: scientific article; zbMATH DE number 1036516