The virtual course "Computers, waves, simulations: a practical introduction to numerical methods using Python - Virtual Course - Coursera", is a course with different contents and offers video classes of Approx. 35 hours to complete. Explore its essential features, and click the orange button for detailed information on the Coursera e-Learning platform.
Interested in learning how to solve partial differential equations with numerical methods and how to convert them into Python code? This course gives you a basic introduction to how to apply methods such as the finite difference method, the pseudospectral method, the linear element method, and the spectral method to the 1D (or 2D) scalar wave equation. The mathematical derivation of the computational algorithm is accompanied by python code embedded in Jupyter notebooks. In a single setup, you can watch mathematical equations being transformed into computer code and the results displayed. The emphasis is on illustrating the fundamental mathematical ingredients of the various numerical methods (eg, Taylor series, Fourier series, differentiation, function interpolation, numerical integration) and how they compare. You will be provided with strategies to ensure that your solutions are correct, for example, benchmarking against analytical solutions or convergence tests. The mathematical aspects are complemented with a basic introduction to wave physics, discretization, meshes, parallel programming, model computation. The course is intended for anyone who aims to develop or use numerical methods applied to partial differential equations and who is looking for a practical introduction at a basic level. The discussed methodologies are widely used in natural sciences, engineering, as well as economics and other fields. The course is intended for anyone who aims to develop or use numerical methods applied to partial differential equations and who is looking for a practical introduction at a basic level. The discussed methodologies are widely used in natural sciences, engineering, as well as economics and other fields. The course is intended for anyone who aims to develop or use numerical methods applied to partial differential equations and who is looking for a practical introduction at a basic level. The discussed methodologies are widely used in natural sciences, engineering, as well as economics and other fields.
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