Advanced Mathematics for Engineers with Applications
Code  Completion  Credits  Range  Language 

D01AMEA  Z,ZK  5  2P+2C 
 Lecturer:
 Jozef Bobok (guarantor)
 Tutor:
 Jozef Bobok (guarantor)
 Supervisor:
 Department of Mathematics
 Synopsis:

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.
 Requirements:

For doctoral students who have good knowledge of mathematical calculus.
 Syllabus of lectures:
 Syllabus of tutorials:
 Study Objective:
 Study materials:

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, HeidelbergBerlin, 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, SpringerVerlag Berlin Heidelberg 2000.
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: