Lecture

System of ODEs

Description

This lecture covers the numerical methods for solving systems of ordinary differential equations (ODEs), including Adams-Bashforth and Adams-Moulton methods, backward difference formula, and multistep methods. It discusses the stability regions of different methods and the importance of absolute stability. The instructor explains the concepts with examples and perturbation errors analysis. The lecture emphasizes the conditions for absolute stability and the properties of explicit and implicit methods.

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