Numerical Methods for Differential Equations

Finite Difference Method, Finite Volume Method, error analysis, discrete and continuous maximum principles and conservation laws, time integration, nonlinear problems

Supervised graded assignments (at least 60% of the grade). During the practicum sessions and at home, students have to complete 5-6 practical and theoretical assignments. Each assignment must be completed within the allocated time (usually, one-two weeks per assignment). The individual progress of each student, quality of computer codes, and the acquired theoretical understanding will be monitored and examined during the contact hours. The grade for each assignment consists of a mark for the "timeliness" (how much has been completed within the allocated time) as well as a mark for correctness.

Written exam (at most 40% of the final grade).

In case of insufficient results for the homework assignments, a repair option may exist in accordance with Article 2, Examination requirements, Clause 4, of the Implementation Regulations 2023-2024.