To run the Jupyter notebooks of this repository online click the following link (may take some time to initialize the server):
Short Course on Computational Methods in Geophysics, October 2 and 4, 2023, Institute of Geophysics and Planetary Physics, SCRIPPS Institution of Oceanography, La Jolla, California
Lecturer: Heiner Igel, LMU Munich
| Date | Topics | Requirements |
|---|---|---|
| Introduction, Motivation, Discrete World, Supercomputing, Wave Equation, Analytical Solutions | Pencil/Paper | |
| GitHub, Jupyter Notebooks, Python ecosystem, Binder Resources, Anaconda environment | Laptop | |
| - | - | - |
| Finite-difference method, High-order Operators, Numerical Dispersion, Stability, Staggered Grids | Pencil/Paper | |
| 1D and 2D wave propagation, Benchmarking, Numerical anisotropy, Heterogeneous Models | Laptop | |
| - | - | - |
| The Pseudospectral Method, Exact Interpolation, Fourier Transforms, Convolutional Operators, Fourier and Chebyshev Method | Pencil/Paper | |
| Fourier and Chebyshev derivative, wave propagation, comparison with FD | Laptop | |
| - | - | - |
| Linear Finite-element method, Galerkin principle, weak form, static and dynamic solution, basis functions | Pencil/Paper | |
| Static elasticity problem, comparison with relaxation method, 1D elastic wave equation | Laptop | |
| - | - | - |
| The spectral-element method, Lagrange interpolation, Numerical Integration | Pencil/Paper | |
| 1D elastic wave equation, heterogeneous models, convergence test | Laptop | |
| - | - | - |
| Finite Volume and Discontinuous Galerkin Method, Numerical Fluxes | Pencil/Paper | |
| 1D wave equation with Discontinuous Galerkin Method, Final Discussion, Loose ends | Laptop | |
| - | - | - |