Integration by cell algorithm for Slater integrals in a spline basis

DOI10.1006/jcph.1999.6361zbMath0967.81062OpenAlexW2033015728MaRDI QIDQ1964166

Yanghui Qiu, Charlotte Froese Fischer

Publication date: 3 February 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1999.6361

zbMATH Keywords

Gaussian quadraturescaling invarianceB-spline basismulti-electron atomic systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computation of special functions and constants, construction of tables (65D20) Computational methods for problems pertaining to quantum theory (81-08) Weak interaction in quantum theory (81V15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Numerical quadrature and cubature formulas (65D32)

Related Items

Solutions of differential equations in a Bernstein polynomial basis ⋮ A B-spline Galerkin method for the Dirac equation ⋮ Solutions of 2nd-order linear differential equations subject to Dirichlet boundary conditions in a Bernstein polynomial basis ⋮ Integration by cell algorithm for Slater integrals in a spline basis ⋮ BSR: B-spline atomic R-matrix codes

Cites Work

• Spline algorithms for the Hartree-Fock equation for the helium ground state
• A practical guide to splines
• Integration by cell algorithm for Slater integrals in a spline basis
• Basis-spline collocation method for the lattice solution of boundary value problems

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