Partial Differential Equations Courses and Certifications

Society for Industrial and Applied Mathematics

H-theorems for Queues with Reneging

Delve into measure-valued transport equations and their applications in many-server queues, exploring mathematical modeling techniques for systems ranging from biology to operations research.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Classes of Nonlinear PDEs Related to Metrics of Constant Curvature

Explore the relationship between nonlinear PDEs and constant curvature metrics, examining key equations like sine-Gordon and KdV, their geometric properties, and solution methods through Bäcklund transformations.

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

Centre International de Rencontres Mathématiques

On Global Well-posedness for the Derivative Nonlinear Schrödinger Equation on the Circle

Explore recent findings on global well-posedness of the derivative nonlinear Schrödinger equation on the circle, based on joint work with Hajer Bahouri, presented at CIRM's thematic meeting.

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

ICTP-SAIFR

Energy Estimates - Class 16

Delve into energy estimates in partial differential equations with Oscar Reula, exploring analytical and numerical tools for solving complex mathematical problems.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Weak Existence for Symmetric Hyperbolic Systems - Class 17

Delve into weak existence theory for symmetric hyperbolic systems with Oscar Reula, exploring analytical frameworks and mathematical foundations in this advanced partial differential equations lecture.

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

ICTP-SAIFR

Solving the Wave Equation With the Method of Lines and Finite Differences - Lecture 14

Delve into solving wave equations using the Method of Lines and finite differences with Oscar Reula in this advanced mathematical lecture from ICTP-SAIFR's minicourse on PDEs.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Symmetric Hyperbolic Systems - Class 12

Delve into Symmetrie Syperbolic Systems with Oscar Reula in this comprehensive lecture from the ICTP-SAIFR Minicourse on Partial Differential Equations, exploring analytical and numerical tools.

• YouTube
• 2 hours 6 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Solving Elliptic Equations with Finite Difference Operators - Class 35 - Part 3

Master finite difference methods for solving elliptic PDEs through advanced numerical techniques and computational approaches with expert guidance from Oscar Reula.

• YouTube
• 1 hour 55 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Solving Elliptic Equations with Finite Difference Operators - Class 35 - Part 2

Master finite difference methods for solving elliptic PDEs through advanced numerical techniques and computational approaches with expert guidance from Oscar Reula.

• YouTube
• 2 hours 36 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Solving Elliptic Equations with Finite Difference Operators - Class 35 - Part 1

Master finite difference methods for solving elliptic PDEs through numerical analysis and computational techniques with expert guidance from Oscar Reula.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Spectral Theorem - Class 33

Discover the Spectral Theorem through rigorous mathematical analysis in this advanced partial differential equations lecture by Oscar Reula from the University of Córdoba.

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

ICTP-SAIFR

Numerical Schemes for Conservation Laws II - Class 34

Explore advanced numerical methods for solving conservation laws with expert guidance on computational techniques and implementation strategies.

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

ICTP-SAIFR

Numerical Schemes for Conservation Laws I - Class 30

Discover numerical schemes for solving conservation laws with advanced analytical and computational techniques in partial differential equations.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Weak Convergence and Compactness - Class 32

Explore weak convergence and compactness concepts in partial differential equations through advanced mathematical analysis techniques.

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

ICTP-SAIFR

Parabolic Equations - Class 29

Explore parabolic equations through advanced analytical and numerical methods with expert guidance from National University of Córdoba.

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