Numerov method maximally adapted to the schr6dinger equation
1987; Elsevier BV; Volume: 73; Issue: 2 Linguagem: Inglês
10.1016/0021-9991(87)90139-2
ISSN1090-2716
Autores Tópico(s)Advanced Numerical Methods in Computational Mathematics
ResumoWe construct and investigate the two-step scheme which is maximally specialized for the Schrödinger equation. The new scheme is found to preserve all attractive features of the standard Numerov method (ease in programming, flexibility in application, speed in run, etc.) with the important advantage of being more efficient for problems involving high values of energy. Its efficiency is actually found to be close to that of the piecewise perturbation methods, a fact which strongly recommends it for further applications.
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