Course in the "Physics of the Earth and Atmosphere" master program.

Content

Lectures

• Linear Inverse Problems: Definitions and Properties 

• Covariances, Uncertainty and Error propagation

• Solution techniques, Singular Value Decomposition, Model Resolution

• Regularization theory

• Inversion with prior information

• Iterative methods for large-scale inverse problems (CG, LSQR, CGLS)

Exercises (Python+Jupyter)

• Linear least-squares: the global temperature trend

• Earth's global density model: mass and moment of inertia

• Geophysical inversion with gravity and magnetic surveying

• Prior knowledge and covariances in inverse problems

• Regularization and Generalized Least-Squares

• Seismic travel-time tomography