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Lecturer(s)
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Caisová Klára, Mgr. Ph.D.
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Course content
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1. Modeling of problems: physical and mathematical models. 2. Numerical methods and errors in numerical calculations. 3. Solution of nonlinear equations. 4. Solving systems of linear equations - direct and iterative methods. 5. Data interpolation. 6. Data approximation. 7. Numerical calculation of definite integral. 8. Numerical calculation of derivative in point. 9. Solving initial problems for ordinary differential equations: explicit methods. 10. Solution of initial problems for ordinary differential equations: implicit methods. 11. Solution of initial problems for systems of ordinary differential equations.
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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The course introduces students to basic numerical methods used in technical practice. Individual methods are illustrated by their using in practical problems solving. Emphasis is placed on the verification of the conditions of use of the methods and the selection of suitable methods for solving the problems. Students are encouraged to verify the correctness of the results obtained and to estimate errors of numerical solutions.
Students will acquire knowledge and skills in the field of numerical methods for solving basic problems. They will gain knowledge of using appropriate software. He / she is familiar with numerical methods used for solving systems of linear equations, has knowledge in solving initial problems for ordinary differential equations. They can apply numerical methods in solving problems from technical practice.
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Prerequisites
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unspecified
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Assessment methods and criteria
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unspecified
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Recommended literature
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Studijní literatura (viz níže uvedené tituly) z projektu ESF řešeného na VŠB TU Ostrava.
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Míka S. Numerické metody algebry. SNTL, Praha, 1985.
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Přikryl P. Numerické metody matematické analýzy. SNTL, Praha, 1988.
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Ralston A. Základy numerické matematiky. Academia, Praha, 1978.
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Vitásek E. Numerické metody. SNTL, 1987.
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