Problems with One-Dimensional Limits

Related lectures (30)

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Introduces solving non-linear problems through differential equations and finite difference methods.

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Summarizes the finite difference method for solving one-dimensional limit problems.

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Covers discretization methods and fluid interfaces in numerical flow simulation.

Covers the finite differences method for approximating solutions to differential equations through discretization and linear systems.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.