Green Functions: Methods and Applications

Related lectures (31)

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

Explores Coulomb's law, electric fields, capacitance, conductors, and dielectrics in electrostatic systems.

Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.

Explores unconfined flow analysis in geomechanics, emphasizing iterative solution methods and boundary condition considerations.

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Covers the Jacobi iterative method for solving electrostatic problems and discusses convergence and practical examples.

Explores the Poisson problem with periodic boundary conditions and the application of Fourier series in mathematical modeling.

Explores Gauss's law, displacement vector in dielectrics, and symmetry analysis of electric fields.

Explains harmonic functions and their boundary conditions, including Dirichlet and Robin conditions.

Explores solute transport in porous media, covering advection-diffusion equations, boundary conditions, reactions, and numerical modeling in PHREEQC.