8.6. Numerical Methods for Transient Analysis

Ordinary differential equations, or ODEs, are encountered when modeling the behavior of numerous physical systems. In order to construct a procedure for solving ODEs, we first have to understand general approximation methods for functions. This will serve as a foundation for the development of numerical techniques for integration. Finally, the application of these techniques to the solution of ODEs similar to the MNA Equations (8.1) and (8.2) will be addressed.

8.6.1. Approximation methods and numerical integration

First, we examine a general integration problemwhere [a, b] is a closed and bounded ...

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