Code: D01AMEA Advanced Mathematics for Engineers with Applications
Lecturer: doc. RNDr. Jozef Bobok CSc. Weekly load: 2P+2C Completion: A, EX
Department: 11101 Credits: 5 Semester: S
Description:
This course will be devoted to the various topics of mathematics including the following chapters: numerical methods for solving (partial) differential equations, elements of numerical optimization, a posteriori error estimates of numerical solution of partial differential equations, elements of qualitative theory of differential equations.
Recommended literature:
References:
[1] K. Rektorys: Variational Methods in Mathematics, Science and Engineering,
2nd Edition, D. Reidel Publishing Company (Dordrecht) and SNTL (Prague), 1980.
[2] C. Grossmann; H.-G. Roos; M. Stynes: Numerical treatment of partial differential equations.
Springer, Heidelberg-Berlin, 2007.
[3] A. Quarteroni, A. Valli: Numerical Approximation of Partial Differential Equations,
Springer, Berlin, 1994.
[4] J. Nocedal, S. J. Wright: Numerical Optimization, Springer, Berlin, 1999, 2006.
[5] G. Lord, C. Powell, T. Shardlow, An Introduction to Computational Stochastic PDEs, Cambridge Texts in Applied Mathematics, 2014.
[6] M. Ainsworth, J. T. Oden, A Posteriori Error Estimation in Finite Element Analysis, Wiley, 2000.
[7] T. Kapitaniak, Chaos for Engineers, Theory, Applications, and Control Theory, Springer-Verlag Berlin Heidelberg 2000.
Keywords:
differential equation, numerical solution, qualitative property of solution

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