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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. The Poisson Equation
21. Time-dependent equations
22. Elasticity
23. Navier Stokes Equations:
24. Helmholtz Equation
25. Eigenvalue problems
26. Stationary Transport Equation
27. Instationary Transport Equation
28. Navier Stokes Equations
29. Magnetostatics
30. Computation of Curvature

FMM

31. Fast Multipole Methods
32. Multipole basis functions

.ipynb

The Poisson Equation

20. The Poisson Equation#

A typical elliptic partial differential equation is the Poisson equation.

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19. Partial differential equations

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20.1. Solving the Poisson Equation

By J. Schöberl

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