Multi-Product Expansion with Suzuki’s Method: Generalization

作     者：Jürgen Geiser 

作者机构：Department of MathematicsHumboldt University of BerlinUnter den Linden 6D-10099 BerlinGermany 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2011年第4卷第1期

页      面：68-91页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Suzuki’s method multiproduct expansion multiplicate and additive splitting schemes exponential splitting 

摘      要：In this paper we discuss the extension to exponential splitting methods withrespect to time-dependent operators. We concentrate on the Suzuki’s method, whichincorporates ideas to the time-ordered exponential of [3, 11, 12, 34]. We formulate themethods with respect to higher order by using kernels for an extrapolation scheme. Theadvantages include more accurate and less computational intensive schemes to specialtime-dependent harmonic oscillator problems. The benefits of the higher order kernelsare given on different numerical examples.