Partial Differential Equations Courses and Certifications

Wolfram

What's New in PDE Modeling

Discover the latest updates in PDE modeling functionality and post-processing techniques to understand scope and start your own modeling projects.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

A Physical-Space Approach to Global Asymptotics for Variable-Coefficient Klein-Gordon Equations

Discover a novel physical-space methodology for analyzing time decay and global asymptotics of variable-coefficient Klein-Gordon equations using "good commutators" and wave packet testing.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Soliton Resolution Conjecture for the Benjamin-Ono Equation

Discover the proof of the soliton resolution conjecture for the Benjamin-Ono equation, exploring how solutions decouple into solitons plus radiative terms in long-time asymptotics.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Reduced Order Models for Efficient PDE-Constrained Optimization Problems - Part I

Discover reduced order modeling techniques to efficiently solve PDE-constrained optimization problems with computational cost reduction strategies.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Toward Information Geometric Mechanics

Explore information geometric mechanics to solve shock wave problems in gas dynamics, avoiding numerical difficulties while preserving physical properties and enabling large-scale simulations.

• YouTube
• 43 minutes
• On-Demand
• Free Video

The Finite Element Method for Problems in Physics

5 reviews

Comprehensive introduction to finite element methods for physics and engineering, covering mathematical foundations and practical coding implementation using open-source tools for various PDEs and physical phenomena.

• Coursera
• 62 hours
• On-Demand
• Paid Course

Steve Brunton

Partial Differential Equations Overview

Explore the mathematical language of physical phenomena with an overview of partial differential equations, covering canonical PDEs, linear superposition, and nonlinear PDEs like Burgers Equation.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Yannic Kilcher

Fourier Neural Operator for Parametric Partial Differential Equations - Paper Explained

Explore a novel neural network architecture for solving partial differential equations efficiently. Learn about Fourier Neural Operators and their potential to revolutionize scientific computing and engineering simulations.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Numerical Methods for Partial Differential Equations (2022)

Master advanced computational techniques for solving partial differential equations through rigorous mathematical analysis and practical implementation methods.

• YouTube
• 1 day 4 hours 26 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Harmonic Analysis and Partial Differential Equations - Trimester Program Lectures

Explore advanced harmonic analysis and PDEs through expert lectures from leading mathematicians covering prime gaps, dispersive equations, and cutting-edge research developments.

• YouTube
• 1 day 15 hours 51 minutes
• On-Demand
• Free Video

ICTP Mathematics

Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability

Explore advanced mathematical techniques in nonlocal partial differential equations with applications spanning plasma physics, geometry, and probability theory.

• YouTube
• 1 day 14 hours 4 minutes
• On-Demand
• Free Video

Differential Equations in Action

1 rating at Udacity

Write Python code to find numerical solutions to systems of differential equations. The models you create will fight wildfires, bring spaceships back to earth, and more!

• Udacity
• 17 hours
• On-Demand
• Free Online Course

Wolfram

Neural Networks for Solving Partial Differential Equations - Theory and Applications

1 review

Discover how neural networks revolutionize solving partial differential equations, focusing on advanced methodologies and applications in high-dimensional problems.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Finite Difference Schemes for Partial Differential Equations in Oceanography - Munk Equation and Shallow Water Equations

Explore high-order finite difference schemes for Munk equation and Shallow Water equations on Cubed Sphere grid, with numerical and convergence analysis.

• YouTube
• 47 minutes
• On-Demand
• Free Video

BIMSA

Solving High-Dimensional Partial Differential Equations Using Deep Learning

Explore deep learning algorithms for solving high-dimensional PDEs, overcoming dimensionality challenges in scientific computing applications.

• YouTube
• 54 minutes
• On-Demand
• Free Video