#### Course Description

Model construction, appraisal of nonuniqueness, and inference in linear problems. Tomographic inversions.

#### Instructors

Oldenburg, Douglas W

Time and location:

- Wednesday/Friday
- Time: 2:00-3:30
- Location: Room 113 EOS Main

#### Textbook

See references in the course outline.

#### Course Content

Course outline

See also the expanded syllabus

**Class Notes**

**Papers for Sensitivity Calculation**

#### Lecture Topics

- Overview to linear inverse theory
- Review of essential mathematics
- Minimum norm construction using accurate data
- Discretization and Singular Value Decomposition
- Linear inverse problems with inaccurate data
- Choosing a regularization parameter: (GCV, L-curve, discrepancy principle)
- Basics for solving nonlinear inverse problems
- Tuning the inversion algorithm: applications to geophysical inversions
- Calculation of sensitivities and Frechet derivatives
- Inverse problems with partial differential equations
- General measures of misfit and model norm
- Parameter estimation
- Resolution analysis

See also the expanded syllabus

#### Labs

Problem 1:

Problem 2

Problem 3

Tomo Project 2009

**Nonlinear Inverse Problem**