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Technische Universität München

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Earth Oriented Space Science and Technology

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Numerical Modeling

(ECTS: 6; SWS: 4)

Lecturers

Dr.-Ing. habil. Michael Schmidt

prerequisites

  

Mathematics, statistics, signal processing, physics, system science, MATLAB
objectives  
  •  to deal with mathemtaical problems such as the solution of partial differential equations (PDEs)
  • to understand how physica/mathematical problems can be solved by numerical methods
  • to solve physical/mathemtical problems by applying MATLAB routines
  • to get a feeling for the accuracy of the solution and the error budget
  • to handle measurements appropriately
contents  

1. Introduction

2. Mathematical foundations

3. Series expansions

4. Taylor expansion

5. Finite difference methods

6. Solutions of 1-D differential equations

7. Time integration procedures

8. Partial differential equations

9. Methods of finite elements 

 
workload  

Full time lecture. The course includes exercises with MATLAB and student presentations. In order to complete the course, students must pass a written exam at the end of the semester

 
literature  

 Selected text books and publications will be mentioend or distributed in the course