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### Learner Career Outcomes

#### 中级

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

### 您将学到的内容有

• 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

#### 中级

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

1

## Week 01 - Discrete World, Wave Physics, Computers

6 个视频 （总计 63 分钟）, 1 个阅读材料, 1 个测验
6 个视频
W1V2 Spatial scales and meshing12分钟
W1V3 Waves in a discrete world6分钟
W1V4 Parallel Simulations10分钟
W1V5 A bit of wave physics16分钟
W1V6 Python and Jupyter notebooks10分钟
1 个阅读材料
Jupiter Notebooks and Python10分钟
1 个练习
Discretization, Waves, Computers45分钟
2

## Week 02 The Finite-Difference Method - Taylor Operators

8 个视频 （总计 41 分钟）, 1 个测验
8 个视频
W2V2 Definitions3分钟
W2V3 Taylor Series5分钟
W2V4 Python: First Derivative10分钟
W2V5 Operators5分钟
W2V6 High Order3分钟
W2V7 Python: High Order7分钟
W2V8 Summary1分钟
1 个练习
Taylor Series and Finite Differences20分钟
3

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

9 个视频 （总计 50 分钟）, 1 个测验
9 个视频
W3V2 Algorithm4分钟
W3V3 Boundaries, Sources4分钟
W3V4 Initialization4分钟
W3V5 Python: Waves in 1D5分钟
W3V6 Analytical Solutions4分钟
W3V7 Python: Waves in 1D3分钟
W3V8 Von Neumann Analysis19分钟
W3V9 Summary1分钟
1 个练习
Acoustic Wave Equation with Finite Differences in 1D - CFL criterion
4

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

10 个视频 （总计 83 分钟）, 1 个测验
10 个视频
W4V2 Acoustic Waves 2D – Finite-Difference Algorithm6分钟
W4V3 Python: Acoustic Waves 2D8分钟
W4V4 Acoustic Waves 2D – von Neumann Analysis5分钟
W4V5 Acoustic Waves 2D – Waves in a Fault Zone8分钟
W4V6 Python: Waves in a Fault Zone9分钟
W4V7 Elastic Wave Equation – Staggered Grids16分钟
W4V8 Python: Staggered Grids5分钟
W4V9 Improving numerical accuracy11分钟
W4V10 Wrap up3分钟
1 个练习
Acoustic Wave Equation in 2D - Numerical Anisotropy - Staggered Grids45分钟
4.8
38 条评论

### 来自Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python的热门评论

A fascinating teaching technique, delivering quality content with a well-thought quizzes system! It' hard to find better courses in the domain of Finite Difference and Spectral Element methods

Well thought out. The material is ordered logically and easy to follow. This online course compliments the book from which it is based on.

## 讲师

### Heiner Igel

Prof. Dr.
Earth and Environmental Sciences

## 关于 路德维希马克西米利安慕尼黑大学

As one of Europe's leading research universities, LMU Munich is committed to the highest international standards of excellence in research and teaching. Building on its 500-year-tradition of scholarship, LMU covers a broad spectrum of disciplines, ranging from the humanities and cultural studies through law, economics and social studies to medicine and the sciences....

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