Partial Differential Equations Courses and Certifications

ICTP-SAIFR

Partial Differential Equations: Analytical and Numerical Tools - Class 43 Part 1

Explore advanced analytical and numerical methods for solving partial differential equations with expert guidance from Oscar Reula in this comprehensive mathematical minicourse.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Partial Differential Equations: Analytical and Numerical Tools - Class 42

Explore advanced analytical and numerical methods for solving partial differential equations with expert guidance from Oscar Reula in this comprehensive mathematical minicourse.

• YouTube
• 2 hours 10 minutes
• On-Demand
• Free Video

Harvard CMSA

Computers and Mathematics in Partial Differential Equations - New Developments and Challenges

Explore how computers revolutionize mathematical proofs in partial differential equations, from traditional approaches to modern computer-assisted demonstrations and future possibilities.

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

NHR@FAU

Efficient Solvers for Partial Differential Equations - Understanding Algorithm and Implementation Efficiency

Delve into the complexities of algorithm efficiency, exploring measurement methods, implementation strategies, and theoretical foundations for solving partial differential equations in computational mathematics.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Numerical Methods for PDEs and Their Applications: Wolfram U Colloquium

Explore advanced numerical methods for solving partial differential equations with research experts and learn Wolfram Language's finite element approach.

• Wolfram U
• 3 hours
• On-Demand
• Free Online Course

Differential Equations: Fourier Series and Partial Differential Equations

Master Fourier series to solve differential equations with periodic inputs and boundary conditions, including ODEs and separable PDEs.

• MITx Online
• On-Demand
• Free Online Course

ICTP-SAIFR

Revision of Partial Differential Equations: Analytical and Numerical Tools - Lab 1 - Class 15

Dive into analytical and numerical tools for partial differential equations with Oscar Reula's revision lab, focusing on practical applications and problem-solving techniques.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Steve Brunton

Engineering Math - Vector Calculus and Partial Differential Equations

Master vector calculus fundamentals and solve key partial differential equations governing physics, from divergence and curl to heat and wave equations.

• YouTube
• 9 hours 20 minutes
• On-Demand
• Free Video

Tom Rocks Maths

Oxford Calculus - Separable Solutions to PDEs

Learn to solve partial differential equations using separable solutions with Oxford mathematician Dr Tom Crawford. Includes examples, practice worksheets, and links to a free calculator app for checking your work.

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

Steve Brunton

Canonical Linear PDEs- Wave Equation, Heat Equation, and Laplace's Equation

Explore fundamental linear PDEs: wave, heat, and Laplace's equations. Gain insights into their properties, applications, and mathematical foundations in engineering and physics.

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

Simons Foundation

From Rotating Needles to Stability of Waves: Local Smoothing in the 21st Century

Delve into the fascinating connection between wave equations, local smoothing phenomena, and the Kakeya needle problem through advanced mathematical concepts and their applications in physics.

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

Hausdorff Center for Mathematics

Evolution of Interfaces - Trimester Program

Explore advanced mathematical theories on interface evolution, covering De Giorgi-Almgren theory, Brakke's mean curvature flow, convex integration, and cutting-edge research in PDEs and fluid dynamics.

• YouTube
• 1 day 11 hours 40 minutes
• On-Demand
• Free Video

IISc Bangalore;  NPTEL

Advanced Course on Partial Differential Equations - II

Explore advanced topics in elliptic and evolution equations, including weak solutions, eigenvalues, regularity, and applications to parabolic, hyperbolic, and Schrödinger equations.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

IISc Bangalore;  NPTEL

First Course on Partial Differential Equations - I

Explore fundamental concepts of partial differential equations, including first-order equations, Laplace and Poisson equations, and 1D heat and wave equations. Ideal for mathematics, science, and engineering students.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

IIT Kharagpur;  NPTEL

Partial Differential Equations (PDE) For Engineers: Solution By Separation Of Variables

Learn to solve partial differential equations using separation of variables, a robust technique for analytical solutions in engineering applications across various coordinate systems.

• Swayam
• 4 weeks, 2-3 hours a week
• On-Demand
• Free Online Course