A new multi-purpose software package for Schrödinger and Sturm-Liouville computations
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Publication:1366258
DOI10.1016/0010-4655(91)90119-6zbMath0875.65141OpenAlexW1985325542MaRDI QIDQ1366258
John D. Pryce, Marco Marlettta
Publication date: 11 November 1997
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0010-4655(91)90119-6
Packaged methods for numerical algorithms (65Y15) Numerical methods for ordinary differential equations (65Lxx)
Related Items
Classical and vector Sturm-Liouville problems: Recent advances in singular-point analysis and shooting-type algorithms ⋮ Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain ⋮ Numerical methods for the eigenvalue determination of second-order ordinary differential equations ⋮ The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian ⋮ Solving differential eigenproblems via the spectral Tau method ⋮ Computing high-index eigenvalues of singular Sturm-Liouville problems ⋮ Numerical solution of singular ODE eigenvalue problems in electronic structure computations ⋮ Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain ⋮ Emergence of new category of continued fractions from the Sturm-Liouville problem and the Schrödinger equation
Cites Work
- Efficient computation of the Prüfer phase function for determining eigenvalues of Sturm-Liouville systems
- A direct method for modifying certain phase-integral approximations of arbitrary order
- The error analysis of the algebraic method for solving the Schrödinger equation
- Uniform estimation of the eigenvalues of Sturm–Liouville problems
- Error Control of Phase-Function Shooting Methods for Sturm-Liouville Problems
- Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation
