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Lecturer(s)
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Machalová Jitka, doc. RNDr. Ph.D., MBA
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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, use of 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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unspecified
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Learning outcomes
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Master the numerical methods of solution of ordinary and partial differential equations.
Application Demonstrate a good orientation in numerical methods for solution of differential equations.
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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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unspecified
Exam: oral. Knowledge of numerical methods for solving ordinary and partial differential equations.
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Recommended literature
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Aktuální odborné články v mezinárodních matematických časopisech.
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A. Quarteroni, R. Sacco, F. Saleri. (2007). Numerical Mathematics. Second edition. Springer.
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B. Szabó, I. Babuška. (2011). Introduction to Finite Element Analysis: Formulation, Verification and Validation. John Wiley & Sons, Ltd.
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Sandip Mazumder. (2016). Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods. Academic Press 2016.
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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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