A MAGNUS EXPANSION FOR THE EQUATION Y' = AY - YB

Arieh Iserles 20f

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A MAGNUS EXPANSION FOR THE EQUATION Y' = AY - YB

机译：方程Y'= AY-YB的马格数展开

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The subject matter of this paper is the representation of the linear differential equation Y' = AY - AB, Y (0), in the form Y (t) = e~Ω(t) Y_0 and the representation of the function Ω as a generalisation of the classical Magnus expansion. An immediate application is a new recursive algorithm for the derivation of the Baker- Campbell-Hausdorff formula and its symmetric generalisation

机译：本文的主题是线性微分方程Y'= AY-AB，Y（0）的表示形式，形式为Y（t）= e〜Ω（t）Y_0，而函数Ω的表示形式为经典Magnus展开的推广。立即应用是一种新的递归算法，用于推导Baker-Campbell-Hausdorff公式及其对称推广

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来源
《Journal of Computational Mathematics》 |2001年第1期|p.15-26|共12页
作者
Arieh Iserles 20f;
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正文语种 eng
中图分类计算数学;
关键词
Geometric integration; Magnus expansions; Baker-Campbell-Hausdorff formula;

机译：几何整合;马格努斯扩张;贝克-坎贝尔-豪斯多夫公式;

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2. A numerical solution to the nonlinear point kinetics equations using Magnus expansion [J] . Cai Yun, Peng Xingjie, Li Qing, Annals of nuclear energy . 2016,第Mara期

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3. Magnus series expansion method for solving nonhomogeneous stiff systems of ordinary differential equations [J] . Aytekin Ery?±lmaz, Mehmet T. Atay, Sure K??me Kuwait Journal of Science . 2015,第1期

机译：马格努斯级数展开法求解常微分方程的非齐性刚性系统
4. Numerical Solutions of Linear and Nonlinear Lane-Emden Type Equations by using Magnus Expansion Method [C] . Cahit KOME, Mehmet Tank ATAY, Aytekin ERYILMAZ, International Conference on Numerical Analysis and Applied Mathematics . 2015

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7. A New Explicit Magnus Expansion for Nonlinear Stochastic Differential Equations [O] . Xiaoling Wang, Xiaofei Guan, Pei Yin 2020

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8. Bounds for Approximate Solutions to the Operator Differential Equation Y(T) = M(T)Y(T); Applications to Magnus Expansion and to II(1+F(T))U = 0 [R] . Wilcox, R. 1970

机译：算子近似解的界限微分方程Y（T）= m（T）Y（T）;应用于magnus扩展和II（1 + F（T））U = 0

A MAGNUS EXPANSION FOR THE EQUATION Y' = AY - YB

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