Computers, Waves, Simulations - A Practical Introduction to Numerical Methods using Python, Certificate | Part time online | Coursera | United States
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Computers, Waves, Simulations - A Practical Introduction to Numerical Methods using Python

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About

This Computers, Waves, Simulations - A Practical Introduction to Numerical Methods using Python course offered by Coursera in partnership with Ludwig-Maximilians-Universität München (LMU) provides you with a basic introduction how to apply methods like the finite-difference method, the pseudospectral method, the linear and spectral element method to the 1D (or 2D) scalar wave equation. 

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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
    • 1 months

Start dates & application deadlines

You can apply for and start this programme anytime.

Language

English

Delivered

Online
  • Self-paced

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 Fee

To always see correct tuition fees
  • International

    Free
    Tuition Fee
    Based on the tuition of 0 USD for the full programme during 1 months.
  • National

    Free
    Tuition Fee
    Based on the tuition of 0 USD for the full programme during 1 months.

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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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