Lectures related to Elliptic partial differential equation

Covers the theoretical study of Elliptic Partial Differential Equations, including classical and weak solutions.

Covers the theoretical study of Elliptic Partial Differential Equations, including electrostatics and advection-diffusion-reaction equations.

Explores the parabolic heat equation evolution and numerical solution methods.

Introduces the basics and classification of partial differential equations, including notation, definitions, and examples.

Covers the model problem of elliptic PDEs with weak formulation and classical solutions.

Explores the maximum principle in harmonic functions and its implications for uniqueness and bounds on solutions.

Explores the classification of PDEs into linear, semi-linear, and quasi-linear types, emphasizing the properties of their solutions.

Explores elliptic PDEs, weak solutions, regularity, and strong solutions, with a focus on classical solutions and proof techniques.

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Explores numerical methods for solving partial differential equations computationally, emphasizing their importance in predicting various phenomena.

Covers the basics of Partial Differential Equations, including well-posedness, operators, and classification of physical PDEs.

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Covers the classification and solutions of partial differential equations, including Laplace transform and separation of variables techniques.

Explores density results in Sobolev spaces, emphasizing their applications and proof techniques.

Covers the application of finite difference methods to solve partial differential equations.

Covers variational methods in mechanics, focusing on the Ritz-Galerkin method.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.

Explains the Laplace equation in 2D with mixed boundary conditions.

Explores solutions to partial differential equations and their applications in various scenarios.