Course: Numerical Methods of Mathematical Physics

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Course title Numerical Methods of Mathematical Physics
Course code KMA/NMMFA
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
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 time-dependent 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.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Biophysics (2015) Physics courses 3 Summer
Faculty of Science Molecular Biophysics (2015) Physics courses 3 Summer