Problems with One-Dimensional Limits

Related lectures (30)

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Explores hydroacoustic modeling through electrical analogies, discussing resolution methods, simplified equations, and physical interpretations.

Covers the finite difference methods for approximating the Cauchy problem and explains the stability and convergence of Euler methods.

Covers the numerical approximation of ODEs using finite difference methods.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Covers the numerical approximation of PDEs and examples of nonlinear behavior.

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Covers coordinate descent, a method for optimizing functions by updating one coordinate at a time.

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

Explains finite difference methods for heat equation discretization, emphasizing stability and precision in numerical solutions.

Introduces distinct element methods and poroelasticity in computational geomechanics.