課程信息
22,931 次近期查看

100% 在線

立即開始,按照自己的計劃學習。

可靈活調整截止日期

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中級

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

完成時間大約為22 小時

建議:8 hours/week...

英語(English)

字幕:英語(English)

您將學到的內容有

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

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

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    Strategies how to plan and setup sophisticated simulation tasks.

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    Strategies how to avoid errors in simulation results.

100% 在線

立即開始,按照自己的計劃學習。

可靈活調整截止日期

根據您的日程表重置截止日期。

中級

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

完成時間大約為22 小時

建議:8 hours/week...

英語(English)

字幕:英語(English)

教學大綱 - 您將從這門課程中學到什麼

1
完成時間為 3 小時

Week 01 - Discrete World, Wave Physics, Computers

6 個視頻 (總計 63 分鐘), 1 個閱讀材料, 1 個測驗
6 個視頻
W1V2 Spatial scales and meshing12分鐘
W1V3 Waves in a discrete world6分鐘
W1V4 Parallel Simulations10分鐘
W1V5 A bit of wave physics16分鐘
W1V6 Python and Jupyter notebooks10分鐘
1 個閱讀材料
Jupiter Notebooks and Python10分鐘
1 個練習
Discretization, Waves, Computers45分鐘
2
完成時間為 4 小時

Week 02 The Finite-Difference Method - Taylor Operators

8 個視頻 (總計 41 分鐘), 1 個測驗
8 個視頻
W2V2 Definitions3分鐘
W2V3 Taylor Series5分鐘
W2V4 Python: First Derivative10分鐘
W2V5 Operators5分鐘
W2V6 High Order3分鐘
W2V7 Python: High Order7分鐘
W2V8 Summary1分鐘
1 個練習
Taylor Series and Finite Differences20分鐘
3
完成時間為 3 小時

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

9 個視頻 (總計 50 分鐘), 1 個測驗
9 個視頻
W3V2 Algorithm4分鐘
W3V3 Boundaries, Sources4分鐘
W3V4 Initialization4分鐘
W3V5 Python: Waves in 1D5分鐘
W3V6 Analytical Solutions4分鐘
W3V7 Python: Waves in 1D3分鐘
W3V8 Von Neumann Analysis19分鐘
W3V9 Summary1分鐘
1 個練習
Acoustic Wave Equation with Finite Differences in 1D - CFL criterion
4
完成時間為 7 小時

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

10 個視頻 (總計 83 分鐘), 1 個測驗
10 個視頻
W4V2 Acoustic Waves 2D – Finite-Difference Algorithm6分鐘
W4V3 Python: Acoustic Waves 2D8分鐘
W4V4 Acoustic Waves 2D – von Neumann Analysis5分鐘
W4V5 Acoustic Waves 2D – Waves in a Fault Zone8分鐘
W4V6 Python: Waves in a Fault Zone9分鐘
W4V7 Elastic Wave Equation – Staggered Grids16分鐘
W4V8 Python: Staggered Grids5分鐘
W4V9 Improving numerical accuracy11分鐘
W4V10 Wrap up3分鐘
1 個練習
Acoustic Wave Equation in 2D - Numerical Anisotropy - Staggered Grids45分鐘
4.8
37 個審閱Chevron Right

來自Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python的熱門評論

創建者 NLMar 14th 2019

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

創建者 JSOct 14th 2019

Excellent coverage of the fundamentals. Would love to see another course like this developed that covers more advanced material.

講師

Avatar

Heiner Igel

Prof. Dr.
Earth and Environmental Sciences

關於 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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