Numerical Methods of Computational Physics I - NEVF523
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Last update: T_KEVF (16.05.2005)
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Last update: IBARVIK/MFF.CUNI.CZ (16.05.2008)
Students will learn basic numerical algorithms (see annotation and syllabus). |
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Last update: RNDr. Ivan Barvík, Ph.D. (30.10.2019)
Successful passing of the exam is a condition for completing the course. |
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Last update: T_KEVF (05.05.2010)
Ralston A.: Základy numerické matematiky, Academia, Praha 1978. Press W.H. et al.: Numerical Recipes in FORTRAN (Pascal, C), Cambridge University Press, Cambridge 1992. Vicher M.: Numerická matematika, skripta, PF UJEP, Ústí nad Labem 2003. |
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Last update: IBARVIK/MFF.CUNI.CZ (16.05.2008)
Lectures and practical exercises in computer lab |
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Last update: doc. RNDr. Jiří Pavlů, Ph.D. (14.06.2019)
Zkouška je ústní a student dostává otázky dle sylabu předmětu v rozsahu, který byl prezentován na přednáškách. |
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Last update: T_KEVF (16.05.2005)
Representation of numbers, accuracy, errors. 2. Interpolation and approximation Interpolation. Least square aproximation, Čebyšev aproximation, spline functions. 3. Numerical integration and differentiation Formulae for equally spaced abscissas. Gaussian quadrature. Numerical differentiation. 4. Solution of linear algebraic equations Gauss elimination and Gauss-Jordan elimination. Iterative methods. Matrix operations. 5. Root finding and solution of nenlinear sets of equations 6. Integration of ordinary differential equations Euler method. Runge-Kutta methods. Predictor-corrector methods. Errors. 7. Solution of partial differential equations Diference equations. Relaxation method. Over-relaxation methods and further techniques for the increase of convergency. Solution of hyperbolic equations. 8. Application of Monte Carlo method in numerical mathematics |