Konguetsof, A.; Simos, T. E. On the construction of exponentially-fitted methods for the numerical solution of the Schrödinger equation. (English) Zbl 1012.65075 J. Comput. Methods Sci. Eng. 1, No. 1, 143-165 (2001). 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. Cited in 24 Documents 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.) Keywords:finite difference method; exponential fitting; trigonometric fitting; scattering problems; oscillating solutions; radial Schrödinger equation PDF BibTeX XML Cite \textit{A. Konguetsof} and \textit{T. E. Simos}, J. Comput. Methods Sci. Eng. 1, No. 1, 143--165 (2001; Zbl 1012.65075)