Single-Course English 5 ECTS

Data Analysis and Modeling in Geoscience and Astrophysics

Overall Course Objectives

To give the students insight into the mathematical description of measurements (laboratory, observatory, satellite and field data) and their application to the study of astrophysical and geophysical systems.

Learning Objectives

  • find suitable representations/parametrizations of data and models
  • classify inverse problems
  • solve linear inverse problems with analytical methods
  • examine how noise on the data propagates into uncertainty on the solutions
  • use prior information in solving an inverse problem
  • use methods to avoid instability in numerical solution methods
  • perform a Fourier analysis of data that are non-uniform distributed
  • solve weakly non-linear problems with iterative methods based on linearization.

Course Content

The course deals with methods for data representation and quality assessment, parameterization of physical systems, description of empirical and analytical relationships between data and model parameters, stochastic description of uncertainties and noise, and stochastic and deterministic quantification of prior knowledge about a physical system.

A number of analytical/numerical methods for solving linear and nonlinear inverse problems are presented. The propagation of noise in the data to uncertainty of the solutions is a major theme in the course.

Recommended prerequisites

02631/02632/02633/01035

Teaching Method

Lectures, exercises, and small projects.

See course in the course database.

Registration

Language

English

Duration

13 weeks

Institute

Space

Place

DTU Lyngby Campus

Course code 30230
Course type Candidate
Semester start Week 35
Semester end Week 48
Days Thurs 8-12
Price

7.500,00 DKK

Registration