A first-order perturbative numerical method for the solution of the radial Schrödinger equation
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Publication:1227266
DOI10.1016/0021-9991(76)90107-8zbMath0329.65050OpenAlexW2049083765MaRDI QIDQ1227266
A. Corciovei, L. Gr. Ixaru, Gh. Adam
Publication date: 1976
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(76)90107-8
Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)
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Cites Work
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- On the numerical solution of Schrödinger's radial equation
- Comparison of perturbation and direct-numerical-integration techniques for the calculation of phase shifts for elastic scattering
- Upper and lower bounds for eigenvalues
- A new method for the solution of the Schrödinger equation
- Piecewise polynomial Taylor methods for initial value problems
- The numerical solution of coupled differential equations arising from the Schrödinger equation
- Numerical solution of Mathieu's equation
- Numerical solution of ordinary differential equations
- The error analysis of the algebraic method for solving the Schrödinger equation
- Solution of Troesch's two-point boundary value problem by a combination of techniques
- Asymptotic Behavior of Sturm-Liouville Systems
- Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation
- An Improved Eigenvalue Corrector Formula for Solving the Schrodinger Equation for Central Fields