A P-stable hybrid exponentially-fitted method for the numerical integration of the Schrodinger equation

T. E. Simos; P. S. Williams

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A P-stable hybrid exponentially-fitted method for the numerical integration of the Schrodinger equation

机译：Schrodinger方程数值积分的P稳定混合指数拟合方法

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摘要

A P-stable exponentially-fitted sixth algebraic order method is developed in this paper for the numerical integration of the Schrodinger equation. An application to the resonance problem of the radial Schrodinger equation indicates that the new method is generally more efficient than the previously developed exponentially-fitted methods of the same kind.

机译：本文针对薛定inger方程的数值积分，开发了一种P稳定的指数拟合六阶代数方法。径向薛定inger方程共振问题的应用表明，新方法通常比以前开发的同类指数拟合方法更有效。

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《Computer physics communications》 |2000年第2期|共11页
作者
T. E. Simos; P. S. Williams;
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正文语种 eng
中图分类计算机的应用;
关键词
Schrodinger equation; exponentially-fitted; multistep methods; finite difference methods; resonance problem;

机译：薛定inger方程指数拟合多步法有限差分法共振问题;

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专利

1. A P-stable hybrid exponentially-fitted method for the numerical integration of the Schrodinger equation [J] . T. E. Simos, P. S. Williams Computer physics communications . 2000,第1a2期

机译：Schrodinger方程数值积分的P稳定混合指数拟合方法
2. New P-stable exponentially-fitted methods for the numerical solution of the Schrodinger equation [J] . G. Avdelas, E. Kefalidis, T. E. Simos Computational Materials Science . 2001,第3期

机译：Schrodinger方程数值解的新的P稳定指数拟合方法
3. A Six-Step P-stable Trigonometrically-Fitted Method for the Numerical Integration of the Radial Schrodinger Equation [J] . Z.A. Anastassi, T.E. Simos Match . 2008,第3期

机译：径向Schrodinger方程数值积分的六步P稳定三角拟合方法
4. EXPONENTIAL-FITTING SYMPLECTIC METHODS FOR THE NUMERICAL INTEGRATION OF THE SCHRODINGER EQUATION [C] . TH. MONOVASILIS, Z. KALOGIRATOU, T.E. SIMOS International Conference of Computational Methods in Sciences and Engineering 2003 (ICCMSE 2003); Sep 12-16, 2003; Kastoria, Greece . 2003

机译：薛定DING方程数值积分的指数拟合辛方法
5. Wave and scattering methods for the numerical integration of partial differential equations. [D] . Bilbao, Stefan Damian. 2001

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7. Solutions of D-dimensional Schrodinger equation for Woods–Saxon potential with spin–orbit, coulomb and centrifugal terms through a new hybrid numerical fitting Nikiforov–Uvarov method [O] . 2016

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A P-stable hybrid exponentially-fitted method for the numerical integration of the Schrodinger equation

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