Lectures related to Linear Partial Differential Equations

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

Covers the foundations of fluid mechanics, focusing on flow problem descriptions and solutions.

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

Explores the application of PDEs in viscoelastic materials and materials science.

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

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