Highly Efficient Methods for Scientific Computing
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
D01VTV_EN | ZK | 4P | English |
- Course guarantor:
- Petr Mayer
- Lecturer:
- Petr Mayer
- Tutor:
- Supervisor:
- Department of Mathematics
- Synopsis:
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Iterative methods of solving systems of linear algebraic equations. Fast algorithms. Gradient methods. CG and GMRES. Preconditioning and its methods. Multilevel Methods for Elliptical Problems (Multigrid Methods). V-cycle, W-cycle. Domain Decomposition Methods (DDM). Overlapping methods, methods without overlapping. Neumann-Neumann methods. Balanced DD method.Methods of Scwarz type (Fully Black Box Methods). Special methods for non-eliptic and indefinite problems. Typical tasks, Helmholtz equation, Navier-Stokes system. Aggregation of the Leontief System. Stationary vectors of probability of stochastic matrices. All methods and algorithms are interconnected and illustrated on non-academic examples of models of mechanics, elasticity, strength and reliability of buildings.
- Requirements:
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
- Note:
- Time-table for winter semester 2024/2025:
- Time-table is not available yet
- Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans: