About this Course

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Intermediate Level

Basic knowledge of calculus and analysis, series, partial differential equations, and linear algebra.

Approx. 35 hours to complete
English

What you will learn

  • How to solve a partial differential equation using the finite-difference, the pseudospectral, or the linear (spectral) finite-element method.

  • Understanding the limits of explicit space-time simulations due to the stability criterion and spatial and temporal sampling requirements.

  • Strategies how to plan and setup sophisticated simulation tasks.

  • Strategies how to avoid errors in simulation results.

Learner Career Outcomes

33%

got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Intermediate Level

Basic knowledge of calculus and analysis, series, partial differential equations, and linear algebra.

Approx. 35 hours to complete
English

Offered by

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Ludwig-Maximilians-Universität München (LMU)

Syllabus - What you will learn from this course

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Week
1

Week 1

3 hours to complete

Week 01 - Discrete World, Wave Physics, Computers

3 hours to complete
6 videos (Total 63 min), 1 reading, 1 quiz
Week
2

Week 2

4 hours to complete

Week 02 The Finite-Difference Method - Taylor Operators

4 hours to complete
8 videos (Total 41 min)
Week
3

Week 3

3 hours to complete

Week 03 The Finite-Difference Method - 1D Wave Equation - von Neumann Analysis

3 hours to complete
9 videos (Total 50 min)
Week
4

Week 4

7 hours to complete

Week 04 The Finite-Difference Method in 2D - Numerical Anisotropy, Heterogeneous Media

7 hours to complete
10 videos (Total 83 min)

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