A Sixth Order Bessel and Neurnann Fitted Method for the Numerical Solution of the Schrödinger Equation
DOI10.1080/08927029908022061zbMath0979.65066OpenAlexW2080397656MaRDI QIDQ2726606
Publication date: 21 August 2001
Published in: Molecular Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/08927029908022061
Schrödinger equationBessel and Neumann fittingcoupled differential equationsscattering problemsvariable-step method
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
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Cites Work
- New variable-step procedure for the numerical integration of the one- dimensional Schrödinger equation
- A variable step method for the numerical integration of the one- dimensional Schrödinger equation
- Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation
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- Piecewise perturbation methods for calculating eigensolutions of a complex optical potential
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- A generator of high-order embedded \(P\)-stable methods for the numerical solution of the Schrödinger equation
- The numerical solution of coupled differential equations arising from the Schrödinger equation
- Solving Nonstiff Ordinary Differential Equations—The State of the Art
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