Numerical Methods

Abstract

In applied dynamics, large motions lead to coupled, nonlinear systems of ordinary differential equations, small motions result in linear systems of differential equations, and finally reaction forces are determined by algebraic systems of equations. In order to solve these problems, numerical mathematics offers many established methods which are available to applied dynamics. Yet this was not always the case. For example, the classic work by Biezeno and Grammel [10] still contains an extensive chapter about solution methods for eigenvalue and boundary value problems. In particular, numerical mathematics has again and again gotten strong stimuli for its own further development from applied dynamics.