Exponentially-fitted Numerov methods
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Publication:859871
DOI10.1016/j.cam.2005.12.022zbMath1110.65071OpenAlexW2062263779MaRDI QIDQ859871
Guido Vanden Berghe, Marnix van Daele
Publication date: 22 January 2007
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.12.022
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)
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Uses Software
Cites Work
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- Correction of Numerov's eigenvalue estimates
- Correction of finite element estimates for Sturm-Liouville eigenvalues
- Numerov method maximally adapted to the Schrödinger equation
- The accuracy of Numerov's method for eigenvalues
- Correction of finite element eigenvalues for problems with natural or periodic boundary conditions
- On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
- Operations on oscillatory functions
- Asymptotic correction of more Sturm-Liouville eigenvalue estimates.
- Frequency evaluation in exponential fitting multistep algorithms for ODEs
- SLCPM12 -- a program for solving regular Sturm-Liouville problems
- Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions
- Asymptotic eigenvalues of Sturm-Liouville systems
- Stabilization of Cowell's method
- A modified numerov method for higher sturm-liouville eigenvalues
- MATSLISE
- Mathematical software for Sturm-Liouville problems
- Algorithm 810: The SLEIGN2 Sturm-Liouville Code
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