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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 and boundary conditions, and with methods for experimental data evaluation. By learning these numerical algoritmuss students will gain insight into problem formulation and develop the ability to derive a problem solution and estimate its accuracy. During the course, the student elaborates two individual projects. Last update: Dubcová Miroslava (13.06.2019)
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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. The student will use numerical methods to solve specific application problems Last update: Dubcová Miroslava (13.06.2019)
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Obligatory:
Last update: Červená Lenka (29.08.2024)
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individual project - assesment, written exam, oral exam Last update: Dubcová Miroslava (13.06.2019)
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1. Interpolation, interpolation by spline functions. Difference formulas, quadrature formulas. 2. Methods of linear algebra. 3. Systems of nonlinear equations. Newton method. 4. Initial value problem for ODE´s. One-step methods. Multistep methods. 5. Stability. Error estimation. Stiff systems. A-stable methods. 6. Boundary value problem for ODE´s. Finite-difference methods. 7. Shooting methods. 8. Projekt 1. 9. Finite-difference methods for linear PDE´s of parabolic type. 10. Finite-difference methods for nonlinear PDE´s of parabolic type. Methods of lines. 11. Finite-difference methods for PDE´s of elliptic type. 12. Linear and nonlinear regression. 13.-14. Projekt 2. Last update: Dubcová Miroslava (13.06.2019)
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E-learning page: https://e-learning.vscht.cz/course/view.php?id=180 Last update: Červená Lenka (29.08.2024)
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No requirements. Last update: Dubcová Miroslava (31.07.2019)
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| Teaching methods | ||||
| Activity | Credits | Hours | ||
| Účast na přednáškách | 1 | 28 | ||
| Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi | 1 | 28 | ||
| Práce na individuálním projektu | 1 | 28 | ||
| Příprava na zkoušku a její absolvování | 1 | 28 | ||
| Účast na seminářích | 1 | 28 | ||
| 5 / 5 | 140 / 140 | |||