Lecture
Numerical Analysis: Advanced Topics
Related lectures (295)
Implicit Schemes in Numerical Analysis
Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.
Numerical Analysis: Implicit Schemes
Covers implicit schemes in numerical analysis for solving partial differential equations.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Finite Difference Grids
Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.
High Order Methods: Space Discretisation
Covers high order methods for space discretisation in linear differential systems.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Joint Equidistribution of CM Points
Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Implicit Euler Scheme
Explains the Implicit Euler Scheme, a method for solving differential equations numerically, focusing on stability and convergence properties.