Embedded eighth order methods for the numerical solution of the Schrödinger equation

Journal of Mathematical Chemistry - Tập 26 - Trang 327-341 - 1999
G. Avdelas1, T.E. Simos2
1Laboratory of Applied Mathematics and Computers, Department of Sciences, Technical University of Crete, Chania, Crete, Greece
2Section of Mathematics, School of Engineering, Department of Civil Engineering, University of Thrace, Xanthi, Greece E-mail:

Tóm tắt

A new method for the approximate numerical integration of the radial Schrödinger equation is developed in this paper. Phase-lag and stability analysis of the new method is included. The new method is called the embedded method because of a simple natural error control mechanism. Numerical results obtained for the phase-shift problem of the radial Schrödinger equation show the validity of the developed theory.

Tài liệu tham khảo

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