Mathematics for Applications+Numerical Methods 2

Course guarantor:

Petr Mayer

Lecturer:

Petr Mayer

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Numerical methods for partial differential equations.

Requirements:

Syllabus of lectures:

1. Boundary value problem for PDE's and systems, Finite difference method, Finite element and Boundary element methods

2. Systems with sparse matrices

3. Preconditioning

4. Multilevel methods for eliptic problems

5. Domain Decomposition Methods - DDM

6. Overlapping and nonoverlapping methods.

7. Fully Black Box of overlapping Schwarz method

8. Eigenvelue problem II: LR and QR methods

9. Generalized eigenvalue problem

10. Inverse iteration

11. Evolution problems for PDE's, rational aproximation of exponential function

12. Euler and Implicit Euler methods, Crank-Nicholson method, methods of Runge-Kutta type

Syllabus of tutorials:

Study Objective:

Study materials:

Note:

Time-table for winter semester 2025/2026:

Time-table is not available yet

Time-table for summer semester 2025/2026:

Time-table is not available yet

The course is a part of the following study plans: