Lecturer(s)


Burkotová Jana, Mgr. Ph.D.

Netuka Horymír, RNDr. Ph.D.

Ligurský Tomáš, RNDr. Ph.D.

Course content

1. Solution methods for systems of linear algebraic equations. Condition numbers of systems. 2. Interpolation and approximation of functions. 3. The least squares method. 4. Numerical integration and differetiation. 5. Boundary value problems for elliptic equations in 1D. 6. Fundamentals of finite element method. Examples in 1D. 7. Boundary value problems for elliptic equations in 2D. 8. Principles of the finite element method in 2D and 3D. 9. Idea of solution for timedependent problems.

Learning activities and teaching methods

Lecture, Monologic Lecture(Interpretation, Training), Demonstration
 Attendace
 39 hours per semester
 Homework for Teaching
 30 hours per semester
 Preparation for the Exam
 50 hours per semester

Learning outcomes

Gain essential knowledge about the finite element method and realize its principles.
Knowledge Gain knowledge about fundamental numerical methods and basic principles of the finite element metod.

Prerequisites

Standard knowledge from mathematical analysis and linear algebra. Some information concerning numerical methods are welcomed, but not necessary. Elemental experience with computation on PC.

Assessment methods and criteria

Dialog, Seminar Work
Credit: the student has to compute given demonstration examples. Colloquium: the student has to understand the subject and be acquainted with the fundamentals of the finite element method.

Recommended literature


G. DAHLQUIST, A. BJÖRCK. (2003). Numerical Methods.. Courier Dover Publications.

M. Nekvinda, J. Šrubař, J. Vild. (1976). Úvod do numerické matematiky. SNTL, Praha.

P. Přikryl. (1985). Numerické metody matematické analýzy. SNTL.

S. Míka. (1985). Numerické metody algebry. SNTL.
