Covers the theoretical study of Elliptic Partial Differential Equations, including electrostatics and advection-diffusion-reaction equations.
Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.
Explores the maximum principle in harmonic functions and its implications for uniqueness and bounds on solutions.
Explores fundamental solutions, Green's formula, distributions, and convergence in Laplace equation.
Covers the Laplace and Poisson equations, the heat equation, and the wave equation in physics.
Covers Laplace transforms in chemistry and engineering, exploring their applications and properties.
Discusses electrostatics, Green's functions, and the application of complex analysis in deriving potentials.
Covers the numerical approximation of PDEs, including Poisson and heat equations, transport phenomena, and incompressible limits.
Covers harmonic functions, Laplacian operator, Dirichlet and Robin problems, and sub-harmonic functions in Partial Differential Equations.
Explores the parabolic heat equation evolution and numerical solution methods.
