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Overview
Key Features
The mathematical derivation of the computational algorithm is accompanied by python codes embedded in Jupyter notebooks. In a unique setup you can see how the mathematical equations are transformed to a computer code and the results visualized. The emphasis is on illustrating the fundamental mathematical ingredients of the various numerical methods (e.g., Taylor series, Fourier series, differentiation, function interpolation, numerical integration) and how they compare.
You will be provided with strategies how to ensure your solutions are correct, for example benchmarking with analytical solutions or convergence tests. The mathematical aspects are complemented by a basic introduction to wave physics, discretization, meshes, parallel programming, computing models.
The Computers, Waves, Simulations - A Practical Introduction to Numerical Methods using Python course offered by Coursera in partnership with Ludwig-Maximilians-Universität München (LMU) targets anyone who aims at developing or using numerical methods applied to partial differential equations and is seeking a practical introduction at a basic level. The methodologies discussed are widely used in natural sciences, engineering, as well as economics and other fields.
Programme Structure
Courses include:
- Discrete World, Wave Physics, Computers
- The Finite-Difference Method - Taylor Operators
- The Finite-Difference Method - 1D Wave Equation - von Neumann Analysis
- The Finite-Difference Method in 2D - Numerical Anisotropy, Heterogeneous Media
- The Pseudospectral Method, Function Interpolation
- The Linear Finite-Element Method - Static Elasticity
- The Linear Finite-Element Method - Dynamic Elasticity
Key information
Duration
- Part-time
- 2 days
Start dates & application deadlines
You can apply for and start this programme anytime.
Language
English
Delivered
Online
- Self-paced
Campus Location
- Mountain View, United States
Disciplines
Computer Sciences Software Engineering View 466 other Short Courses in Computer Sciences in United StatesWhat students do after studying
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Academic requirements
We are not aware of any specific GRE, GMAT or GPA grading score requirements for this programme.
English requirements
We are not aware of any English requirements for this programme.
Other requirements
General requirements
Intermediate Level
- Basic knowledge of calculus and analysis, series, partial differential equations, and linear algebra.
Tuition Fees
Tuition fees are shown in and the most likely applicable fee is shown based on your nationality.
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International Applies to you
Applies to youNon-residentsFree - Out-of-StateFree
Additional Details
- Audit: free access to course materials except graded items
- Certificate: a trusted way to showcase your skills
- A year of unlimited access with Coursera Plus $199
Funding
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.
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