General Nonsymmetric Higher-Order Decomposition of Exponential Operators and Symplectic Integrators

Abstract

A general scheme to realize nonsymmetric higher-order decomposition of exponential operators and symplectic integrators is constructed. This gives a unified theory of the previous symmetric and nonsymmetric decomposition. Ruth's nonsymmetric third-order real decomposition is shown to be a simple example of the present general theory. © 1992, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.