Über diesen Kurs

52,934 kürzliche Aufrufe
Zertifikat zur Vorlage
Erhalten Sie nach Abschluss ein Zertifikat
100 % online
Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.
Flexible Fristen
Setzen Sie Fristen gemäß Ihrem Zeitplan zurück.
Stufe „Mittel“

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

Ca. 35 Stunden zum Abschließen
Englisch
Untertitel: Englisch

Was Sie lernen werden

  • 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.

Zertifikat zur Vorlage
Erhalten Sie nach Abschluss ein Zertifikat
100 % online
Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.
Flexible Fristen
Setzen Sie Fristen gemäß Ihrem Zeitplan zurück.
Stufe „Mittel“

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

Ca. 35 Stunden zum Abschließen
Englisch
Untertitel: Englisch

von

Ludwig-Maximilians-Universität München (LMU)-Logo

Ludwig-Maximilians-Universität München (LMU)

Lehrplan - Was Sie in diesem Kurs lernen werden

Woche
1

Woche 1

3 Stunden zum Abschließen

Week 01 - Discrete World, Wave Physics, Computers

3 Stunden zum Abschließen
6 Videos (Gesamt 63 min), 1 Lektüre, 1 Quiz
6 Videos
W1V2 Spatial scales and meshing12m
W1V3 Waves in a discrete world6m
W1V4 Parallel Simulations10m
W1V5 A bit of wave physics16m
W1V6 Python and Jupyter notebooks10m
1 Lektüre
Jupiter Notebooks and Python10m
1 praktische Übung
Discretization, Waves, Computers45m
Woche
2

Woche 2

4 Stunden zum Abschließen

Week 02 The Finite-Difference Method - Taylor Operators

4 Stunden zum Abschließen
8 Videos (Gesamt 41 min)
8 Videos
W2V2 Definitions3m
W2V3 Taylor Series5m
W2V4 Python: First Derivative10m
W2V5 Operators5m
W2V6 High Order3m
W2V7 Python: High Order7m
W2V8 Summary1m
1 praktische Übung
Taylor Series and Finite Differences20m
Woche
3

Woche 3

3 Stunden zum Abschließen

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

3 Stunden zum Abschließen
9 Videos (Gesamt 50 min)
9 Videos
W3V2 Algorithm4m
W3V3 Boundaries, Sources4m
W3V4 Initialization4m
W3V5 Python: Waves in 1D5m
W3V6 Analytical Solutions4m
W3V7 Python: Waves in 1D3m
W3V8 Von Neumann Analysis19m
W3V9 Summary1m
1 praktische Übung
Acoustic Wave Equation with Finite Differences in 1D - CFL criterion
Woche
4

Woche 4

7 Stunden zum Abschließen

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

7 Stunden zum Abschließen
10 Videos (Gesamt 83 min)
10 Videos
W4V2 Acoustic Waves 2D – Finite-Difference Algorithm6m
W4V3 Python: Acoustic Waves 2D8m
W4V4 Acoustic Waves 2D – von Neumann Analysis5m
W4V5 Acoustic Waves 2D – Waves in a Fault Zone8m
W4V6 Python: Waves in a Fault Zone9m
W4V7 Elastic Wave Equation – Staggered Grids16m
W4V8 Python: Staggered Grids5m
W4V9 Improving numerical accuracy11m
W4V10 Wrap up3m
1 praktische Übung
Acoustic Wave Equation in 2D - Numerical Anisotropy - Staggered Grids45m

Bewertungen

Top-Bewertungen von COMPUTERS, WAVES, SIMULATIONS: A PRACTICAL INTRODUCTION TO NUMERICAL METHODS USING PYTHON

Alle Bewertungen anzeigen

Häufig gestellte Fragen

  • Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:

    • The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.

    • The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

  • You will be eligible for a full refund until two weeks after your payment date, or (for courses that have just launched) until two weeks after the first session of the course begins, whichever is later. You cannot receive a refund once you’ve earned a Course Certificate, even if you complete the course within the two-week refund period. See our full refund policy.

  • Yes, Coursera provides financial aid to learners who cannot afford the fee. Apply for it by clicking on the Financial Aid link beneath the "Enroll" button on the left. You’ll be prompted to complete an application and will be notified if you are approved. Learn more.

Haben Sie weitere Fragen? Besuchen Sie das Hilfe-Center für Teiln..