5: Matrix Methods for Dynamical Systems
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- 5.1: Nerve Fibers and the Dynamic Strang Quartet
- In this module we hope to begin to persuade the reader that our tools extend in a natural fashion to the class of dynamic processes. More precisely, we shall argue that (1) Matrix Algebra plays a central role in the derivation of mathematical models of dynamical systems and that, (2) With the aid of the Laplace transform in an analytical setting or the Backward Euler method in the numerical setting, Gaussian elimination indeed produces the solution.