A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint
DOI10.1016/j.cam.2019.112349zbMath1427.65130arXiv1812.02090OpenAlexW2963767577WikidataQ127456508 ScholiaQ127456508MaRDI QIDQ2279895
Publication date: 16 December 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.02090
Sturm-Liouville theory (34B24) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
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- Numerical solution of Sturm-Liouville problems via Fer streamers
- Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics
- Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
- Self-adjoint extensions in quantum mechanics. General theory and applications to Schrödinger and Dirac equations with singular potentials.
- Correction of Numerov's eigenvalue estimates
- On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions
- Reprint of ``Variable-step finite difference schemes for the solution of Sturm-Liouville problems
- Galerkin schemes and the sinc-Galerkin method for singular Sturm- Liouville problems
- Boundary value methods as an extension of Numerov's method for Sturm-Liouville eigenvalue estimates
- Two very accurate and efficient methods for computing eigenvalues of Sturm-Liouville problems
- A matrix method for fractional Sturm-Liouville problems on bounded domain
- Floquet theory for left-definite Sturm-Liouville problems
- Scattering by singular potentials. B. Varying the linear parameters
- The double exponential sinc collocation method for singular Sturm-Liouville problems
- Brief Survey on the CP Methods for the Schrödinger Equation
- Efficient numerical solution of the one-dimensional Schrodinger eigenvalue problem using Magnus integrators
- Asymptotics of Sturm-Liouville eigenvalues for problems on a finite interval with one limit-circle singularity, I
- Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- Mathematical software for Sturm-Liouville problems
- Matslise 2.0
- Algorithm 810: The SLEIGN2 Sturm-Liouville Code
- The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices
- Singular Potentials
- Scattering of Ions by Polarization Forces
- Asymptotic expansions of Legendre series coefficients for functions with endpoint singularities
- A spectral solution of the Sturm-Liouville equation: Comparison of classical and nonclassical basis sets
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