Multi-Product Expansion with Suzuki's Method: Generalization

被引：0

作者：

Geiser, Juergen ^{[1
]}

机构：

[1] Humboldt Univ, Dept Math, D-10099 Berlin, Germany

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2011年 / 4卷 / 01期

关键词：

Suzuki's method; multiproduct expansion; multiplicate and additive splitting schemes; exponential splitting; GRADIENT SYMPLECTIC ALGORITHMS; TIME-DEPENDENT POTENTIALS; SPLITTING METHODS; SCHRODINGER-EQUATION; DIFFERENTIAL-EQUATIONS; DYNAMICAL-SYSTEMS; RUNGE-KUTTA; 4TH-ORDER; OPERATOR; OSCILLATORS;

D O I：

10.4208/nmtma.2011.m9010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the extension to exponential splitting methods with respect to time-dependent operators. We concentrate on the Suzuki's method, which incorporates ideas to the time-ordered exponential of [3, 11, 12,34]. We formulate the methods with respect to higher order by using kernels for an extrapolation scheme. The advantages include more accurate and less computational intensive schemes to special time-dependent harmonic oscillator problems. The benefits of the higher order kernels are given on different numerical examples.

引用

页码：68 / 91

页数：24

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