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Lecturer(s)
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Vodák Rostislav, doc. RNDr. Ph.D.
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Course content
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1. The Physical Origins of Partial Differential Equations, diffusion equations, wave equations, conservation laws. 2. Function spaces and their relation to PDEs. 3. A classical and modern approach do PDEs. 4. Basic properties (existence, uniqueness and regularity of a solution). 5. Numerical methods for PDEs.
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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Understanding the classical and modern approach to PDEs.
Application Application of differential and integral calculus of multivariate functions in the theory of PDEs.
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Prerequisites
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Understanding the mathematical tools of differential and integral calculus of multivariable functions.
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Assessment methods and criteria
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unspecified
Credit: active participation, the student has to solve given examples. Exam: the student has to understand the subject.
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Recommended literature
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E. Vitásek. (1994). Základy teorie numerických metod pro řešení diferenciálních rovnic. Academia, Praha.
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L. C. Evans. (2010). Partial differential equations. American Mathematical Society.
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N. S. Nita, M. Y. Jani. (2021). Partial Differential Equations: An Introduction. CRC press.
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S. Salsa. (2008). Partial differential equations in action: From modelling to theory. Springer.
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W. M. Lai, E. Krempl, D. Rubin. (2014). Introduction to continuum mechanics. Butterworth-Heinemann.
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