This lecture covers the numerical approximation of ordinary differential equations (ODEs) using finite difference methods to solve the Cauchy problem. Topics include stability, convergence, and building schemes for ODE systems.
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Explores error estimation in numerical methods for solving ordinary differential equations, emphasizing the impact of errors on solution accuracy and stability.
Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.
