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Introduction to Scientific Computing

Basic Linear Algebra

1. Overview
2. Clone a project from github
3. Refresh your C++
4. Creating documentation
5. Expression templates
6. Python bindings
7. Interfacing Lapack

Performance

8. Overview
9. Vectorization
10. Pipelining
11. Caches
12. Parallelization

ODEs

13. Solving ordinary differential equations
14. A little bit of theory
15. Some simple time-stepping methods
16. Implementation
17. Runge-Kutta methods
18. Mechanical Systems

PDEs

19. Partial differential equations
20. Finite Elemente in der Grundvorlesung
21. Solving the Poisson Equation
22. Boundary Conditions
23. Iterative Solvers
24. 3D Solid Mechanics
25. Heat Equation
27. Wave Equation
28. Helmholtz Equation
29. Eigenvalue problems
30. Stationary Transport Equation
31. Instationary Transport Equation
32. Navier Stokes Equations
33. Magnetostatics
34. Computation of Curvature

FMM

35. Fast Multipole Methods
36. Multipole basis functions

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By J. Schöberl

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