Lectures related to Continuity and Galerkin Method

Numerical Methods in Biomechanics: Hip-A

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Functional Analysis I: Spectral Theorem

Covers the spectral theorem, orthanormal sequences, and bounded linear operators in Hilbert spaces.

Finite Differences and Finite Elements: Variational Formulation

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Well-Posedness of Elliptic PDEs

Explores the well-posedness of elliptic partial differential equations with various boundary conditions, emphasizing the weak formulation and coercivity.

Linear Maps and the Duality Principle in Mathematics

Covers the duality principle in linear algebra and its implications in mathematics.

Numerical Methods: Boundary Conditions and Stencils

Covers the renumbering of stencil points and the impact of boundary corrections on the linear system matrix.

Other Topics: Techniques for Fluid Interfaces

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