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On the construction of exponentially-fitted methods for the numerical solution of the Schrödinger equation. (English) Zbl 1012.65075
Summary: An exponentially-fitted method is presented for the numerical solution of the Schrödinger equation. Trigonometric fitting is also explained and applied. We show that the results we obtain are better than the ones without the trigonometric fitting.

MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L12 Finite difference and finite volume methods for ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
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