Symmetric Eighth Algebraic Order Methods with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation

Journal of Mathematical Chemistry - Tập 31 - Trang 135-144 - 2002
T.E. Simos1, Jesus Vigo-Aguiar2
1Section of Mathematics, School of Engineering, Department of Civil Engineering, University of Thrace, Xanthi, Greece
2Departamento de Matematica Aplicada, Facultad de Ciencias, Universidad de Salamanca, Salamanca, Spain

Tóm tắt

In this paper some new eighth algebraic order symmetric eight-step methods are introduced. For these methods a direct formula for the computation of the phase-lag is given. Based on this formula, the calculation of free parameters is done in order the phase-lag to be minimal. The new methods have better stability properties than the classical one. Numerical illustrations on the radial Schrödinger equation indicate that the new method is more efficient than older ones.

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Thông tin xuất bản

Journal of Mathematical Chemistry

Tập 31

135-144

Thông tin tác giả