AN ACCURATE EXPONENTIALLY FITTED EXPLICIT FOUR-STEP METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRÖDINGER EQUATION

DOI10.1142/S0217751X98001347zbMath0929.65043MaRDI QIDQ4259529

Theodore E. Simos

Publication date: 5 September 1999

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical resultsperiodic solutionSchrödinger equationresonanceexponential fittingsymmetric multistep methodsphase-shiftexplicit four-step method

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems ⋮ A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems

Cites Work

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• Practical points concerning the solution of the Schrödinger equation
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• A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problem
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• AN EXPLICIT HIGH ORDER PREDICTOR-CORRECTOR METHOD FOR PERIODIC INITIAL VALUE PROBLEMS

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