Bessel and Neumann fitted methods for the numerical solution of the Schrödinger equation

DOI10.1016/S0898-1221(01)00202-4zbMath0984.65074MaRDI QIDQ5948843

Theodore E. Simos

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationBessel and Neumann fittingcoupled differential equationsscattering problemsvariable step size

Mathematics Subject Classification ID

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) 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

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• A fourth-order Bessel fitting method for the numerical solution of the Schrödinger equation
• Eighth order methods for accurate computations for the Schrödinger equation
• Piecewise perturbation methods for calculating eigensolutions of a complex optical potential
• A two-step method for the numerical solution of the radial Schrödinger equation
• Embedded methods for the numerical solution of the Schrödinger equation
• 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
• A Sixth Order Bessel and Neurnann Fitted Method for the Numerical Solution of the Schrödinger Equation
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• Solving Nonstiff Ordinary Differential Equations—The State of the Art

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