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Lecturer(s)
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Doleček Petr, doc. Ing. CSc.
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Course content
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Introduction. Types of errors. Systems of linear algebraic equations. Nonlinear algebraic equations. Interpolation, numerical derivation and integration. Splines. Fitting of experimental data. Numerical solution of ordinary differential equations. Partial differential equations. Introduction to finite element method.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Work with text (with textbook, with book), Methods of individual activities
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Learning outcomes
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The course provides students with basic knowledge of numerical methods such as approximation of functions (Lagrange's interpolation polynomial), splines, numerical differentiation, numerical integration, numerical methods of linear algebra, methods of solving nonlinear equations and systems, numerical methods for ordinary differential equations, and difference schemes for partial differential equations. Theoretical fundamentals are explained and practical applications are exercised on personal computers using standard software (Excel and Matlab).
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral examination, Home assignment evaluation
final project - 60% oral exam - 40%
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Recommended literature
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Epperson J.F. An Introduction to Numerical Methods and Analysis.
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Johnson K.J. Numerical Methods in Chemistry.
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Kotake Susumu, Hijikata Kunio. Numerical Simulations of Heat Transfer and Fluid Flow on a Personal Computer.
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