Fast methods for partial differential and integral equations

Course instructors: Ivan Oseledes, Alexander Shapeev

TAs: Maxim Rakhuba, Dasha Sushnikova, Evgeny Frolov, Artem Naumov

Week Classes Homework Tests
1 Day 1: Formal stuff, Lecture 1, FEniCS demo
Day 2: Lecture 2 (Basics of PDEs)
Day 3: Lecture 3 (FDM + FVM)
Problem set 1
2 Day 5: Lecture 4 (FEM. Part 1), Practice Problem, Mesh guide
Day 6: Lecture 5 (FEM. Part 2)
Problem set 2
3 Day 7: Lecture 6 (Spectral methods)
Day 8: Lecture 7 (Sparse LU)
Day 9: Lecture 8 (Multigrid)
Problem set 3
4 Day 10: Lecture 9 (Basic integral equations)
Day 11: Lecture 10 (Basic integral equations, part 2)
Problem set 4.1
DEMCEM in python
Mid-term test
5 Day 12: Lecture 11 (Barnes-Hut and FMM)
Day 13: [Lecture 12 (FMM and H-matrices)](lecture-12.ipynb)
Day 14: [Lecture 13: (Approximating H-matrices)](lecture-13.ipynb)
Problem set 4.2
6 Day 15: Lecture 14: (Oscillatory problems)
7 Ping-pong test
Final test
Arrear day
8 Application period

In [1]:
from IPython.core.display import HTML
def css_styling():
    styles = open("./styles/custom.css", "r").read()
    return HTML(styles)
css_styling()


Out[1]: