YMR8021
Numerical methods II - Arvutusmeetodid II
Topics to be studied are:
finite difference, finite elements and finite volume methods to solve boundary
value problems of mathematical physics in 1d and 2d cases as well as explicit
and implicit finite difference schemes to solve initial boundary value problems
in 1d case. Presentation of the material follows the book
V. Ruas, Numerical methods for partial differential equations. Wiley, 2016
that can be electronically accessed in the university network. The URL is:
In case you have problems to access this book, please contact me:
jaan.janno@ttu.ee
Some supplements are given by the lecturer, too.
Excercises are solved by means of Matlab, alternatively the free software GNU Octave can be used. Solution of homework problems by means of other software (e.g. C, Python) is also accepted. An exception is only MS Excel, homeworks done by Excel are not accepted.
Classes include lectures about the methods and solving excercises by Matlab.
Each student must choose one problem from the list of homework problems (updated 6.03.2018)
To pass the assessment, it
is necessary
1) To present and defend the homework.
2) To pass a theoretical test (51%
required). Questions are here
Grades are not given.
Classes will take place in
odd weeks (4 academic hours in one week with 15 min break between second and
third hour).
Provisional plan of classes:
1 week: Matlab
basics (variables, functions, scripts, loops, operations with arrays, graphics)
– students acquainted with matlab may skip these
classes
3. week:
introductory material (solving linear systems of algebraic equations,
approximate computation of derivatives, classical problems of mathematical
physics) and beginning of the main material
5, 7, 9, 11 and 13. weeks: main material
15. week: main material and theoretical test.
Slides of lectures
NB! Last class on May 7: it is possible to write the test on theory and do the homework in the computer class NRG223.
It is possible to write the test on theory at the following times, too:
23.05 12.00 U05-402
6.06 12.00 U05-402
15.06 12.00 U05-402