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Lecturer(s)
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Ženčák Pavel, RNDr. Ph.D.
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Vodák Rostislav, RNDr. Ph.D.
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Course content
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Numerical methods of solving differential equations (series expansion, collocation, LSQ). Contemporary theory of single and multi-step methods for ODE, current software. Boundary value problems solving for ODE - modern methods, software available. Variation methods and the finite element method for elliptic boundary value problems. Methods for time-dependent problems.
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Learning activities and teaching methods
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Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
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Learning outcomes
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Master the numerical methods of solution of ordinary and partial differential equations.
Comprehension Understand the numerical methods of solution of differential equations and ability of their usage.
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Prerequisites
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Master's degree in mathematics.
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Assessment methods and criteria
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Oral exam
The student has to understand the subject well and be able to use the methods to solve practical problems.
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Recommended literature
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A. Quarteroni, R. Sacco, F. Saleri. (2007). Numerical Mathematics. Second edition. Springer.
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P.G. Ciarlet. (2002). The Finite Element Method for Elliptic Problems. SIAM, Philadelphia.
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Strang, G. (1986). Introduction To Applied Mathematics. Wellesley-Cambridge Press.
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U.M. Asher. (2008). Numerical Methods for Evolutionary Differential Equations. SIAM, Philadelphia.
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