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Modelling and Simulation of Integrated Systems in Engineering by D Murray-Smith

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Appendix A2: numerical methods for the solution of ordinary differential equations

A2.1 Introduction

Although it is assumed that readers of this book have some knowledge of numerical analysis methods, a brief summary of some of the essential concepts of numerical integration is provided here. Readers requiring more detailed information about numerical analysis methods and especially the numerical solution of ordinary differential equations should use one of the many texts on the fundamentals of continuous system simulation (e.g. [A1] to [A5]). Online user handbooks and help systems provided with most modern software provide information about methods available within specific simulation tools.

Single-step integration methods, which are the ...

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