A Regularization Procedure for Σn−i=1fi(zj)xi =g(zj), (j = 1, 2, …,n)

DOI<81::AID-NLA74>3.0.CO;2-9 10.1002/(SICI)1099-1506(199601/02)3:1<81::AID-NLA74>3.0.CO;2-9zbMath0841.65021OpenAlexW2004239922MaRDI QIDQ4868111

L. Gr. Ixaru, Guido Vanden Berghe, Marnix van Daele, H. E. De Meyer

Publication date: 14 July 1996

Full work available at URL: https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9

zbMATH Keywords

linear systemsregularizationtest examplesdivided differences

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

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Cites Work

• Unnamed Item
• Numerov method maximally adapted to the Schrödinger equation
• Two-step methods for the numerical solution of the Schrödinger equation
• On a correction of Numerov-like eigenvalue approximations for Sturm- Liouville problems
• A parallel approach to the modified Numerov-like eigenvalue determination for Sturm-Liouville problems
• A family of four-step exponential fitted methods for the numerical integration of the radial Schrödinger equation
• Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems
• A modified numerov method for higher sturm-liouville eigenvalues
• Some New Four-Step Exponential-Fitting Methods for the Numerical Solution of the Radical Schrödinger Equation