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The course deals with methods for approximation of functions, derivatives and integrals, with methods for solving linear and nonlinear algebraic equations, with methods for solving ordinary/partial differential equations with initial/boundary conditions, and with methods for experimental data evaluation. By learning these numerical methods students will gain insight into problem formulation and develop the ability to derive a problem solution and estimate its accuracy. Last update: TAJ413 (19.07.2013)
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Students will be able to formulate mathematical models using algebraic or differential equations. They will gain an overview of the commonly used numerical methods and they will learn how to determine the accuracy of numerical solutions. Last update: TAJ413 (19.07.2013)
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R: http://www.vscht.cz/mat/Ang/NM-Ang/NM-Ang.pdf A: J. F. Epperson: An Introduction to Numerical Methods and Analysis,Wiley, New York, 2002, ISBN 0-471-31647-4 Last update: Dubcová Miroslava (15.07.2013)
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http://www.vscht.cz/mat/Ang/NM-Ang/e_nm_semin.html Last update: Dubcová Miroslava (26.06.2013)
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Lectures and exercise classes. Last update: TAJ413 (19.07.2013)
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1. Interpolation, interpolation by spline functions. 2. Difference formulas, quadrature formulas. 3. Methods of linear algebra. 4. Systems of nonlinear equations. Newton method. 5. Initial value problem for ODE´s. One-step methods. 6. Multistep methods. Stability. Error estimation. 7. Stiff systems. A-stable methods. 8. Boundary value problem for ODE´s. Finite-difference methods. 9. Shooting methods. 10. Finite-difference methods for linear PDE´s of parabolic type. 11. Finite-difference methods for nonlinear PDE´s of parabolic type. 12. Methods of lines. 13. Finite-difference methods for PDE´s of elliptic type. 14. Linear and nonlinear regression. Gauss-Newton method. Last update: TAJ413 (19.07.2013)
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Mathematics I, Mathematics II. Last update: Dubcová Miroslava (15.07.2013)
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| Teaching methods | ||||
| Activity | Credits | Hours | ||
| Konzultace s vyučujícími | 0.5 | 14 | ||
| Účast na přednáškách | 1.5 | 42 | ||
| Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi | 2 | 56 | ||
| Příprava na zkoušku a její absolvování | 2 | 56 | ||
| Účast na seminářích | 1 | 28 | ||
| 7 / 7 | 196 / 196 | |||
| Coursework assessment | |
| Form | Significance |
| Examination test | 70 |
| Continuous assessment of study performance and course -credit tests | 30 |