Optimal cylindrical and spherical Bessel transforms satisfying bound state boundary conditions

DOI10.1016/S0010-4655(96)00141-5zbMath0927.65102OpenAlexW2014417891MaRDI QIDQ1295826

Didier Lemoine

Publication date: 14 December 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(96)00141-5

zbMATH Keywords

eigenvaluediscrete Fourier transformharmonic oscillatordiscrete Bessel transformradial symmetrypseudospectral schemecylindrical and spherical coordinatesgeneralized finite basis and discrete variable representationsnondirect product representationradial Laplacian eigenfunctions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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Quantum wave packet approach to the Eley-Rideal reactive scattering between a gas phase atom and an adsorbate

Cites Work

• Unnamed Item
• An improved method for computing a discrete Hankel transform
• Generalized discrete Fourier transforms: The discrete Fourier-Riccati-Bessel transform
• Fast sine/cosine transform for periodic functions with reflection symmetry

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