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Lecturer(s)
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Kubera Petr, RNDr. Ph.D.
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Škvor Jiří, RNDr. Ph.D.
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Barilla Jiří, doc. Ing. Mgr. CSc.
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Sýkorová Květuše, Mgr.
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Course content
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1. Function approximation, Lagrange interpolation 2. Definition of spline function, interpolation via spline-construction, derivation 3. Numerical quadrature, Newton-Cotes rules 4. Romberg's quadrature method, Gaussian quadrature rules 5. Method for nonlinear equations, Newton's (Newton-Rhapson) method 6. Fixed point method, root finding for polynoms, Horner scheme 7. System of linear equation, conditional number, Gaussian elimination 8. LU factorization, Cholesky and QR factorization 9. Basic iterative methods for the solution of linear algebraic equations 10. Eigenvalues of matrix, power method 11. Numerical solution of ODE, one step methods, Runge-Kutta methods 12. Gradient methods
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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Introduction to numerical mathematics for students of computer science.
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Prerequisites
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unspecified
KMA/P136
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Assessment methods and criteria
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unspecified
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Recommended literature
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Felcman J. Numerické metody, učební text k přednášce, 2004.
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Quarteroni, A., Sacco, R., and Saleri, F. Numerical Mathematics (2ndedn), Volume 37 of Texts in Applied Mathematics. Springer, Berlin. ISBN 0-387-98959-5..
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Segethová, J. Základy numerické matematiky, Karolinum, Praha, 2002.
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Ueberhuber, W. Numerical Computation 1, 2: Methods, Software, and Analysis. Springer, Berlin..
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