Finite Element Methods

Related lectures (29)

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Explores error analysis in ordinary differential equations and convergence criteria for numerical methods.

Explores optimal transport, gradient flows, the implicit Euler scheme, and the heat equation in the context of Dirichlet energy functional.

Explores methods for ordinary differential equations and the importance of Lipschitz continuity in ensuring unique solutions.

Introduces methods for solving ordinary differential equations and discusses their accuracy and limitations.

Explores implicit and explicit methods in numerical analysis using Euler's paths.

Covers ODE RK schemes, including explicit RK stages and accuracy computation.

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.

Covers the Crank-Nicolson and Heun's methods, discussing uniqueness of solutions and truncation errors in numerical methods.

Explores the stability analysis of finite difference methods for solving differential equations.