Differential Equations Courses and Certifications

Fields Institute

Sums of Squares and Applications to Hypoellipticity

Explore sums of squares in differential equations, focusing on hypoellipticity. Learn about key theorems, counterexamples, and applications in this advanced mathematics lecture.

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

Alan Turing Institute

Learning Physics-Based Reduced-Order Models from Data Using Quadratic Manifolds

Innovative approach to learning data-driven quadratic manifolds for efficient physics-based reduced-order models, combining polynomial mapping and operator inference for complex simulations.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Quasi-convergence of Optimal Balance by Nudging in Two-scale Dynamical Systems

Explore optimal balance numerical method for two-scale dynamical systems, focusing on quasi-convergence of nudging solver and its effectiveness in computing slow manifolds.

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

Schmid College, Chapman University

Perturbations of Periodic Sturm-Liouville Operators

Explore perturbations of periodic Sturm-Liouville operators, focusing on Hill's equation and its applications in crystal physics. Analyze spectral changes under L1-assumptions and finite first moment conditions.

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

The Julia Programming Language

QSS: A Solver for Large Sparse Stiff Discontinuous Systems

Explore QSS algorithms for solving large sparse stiff discontinuous systems, outperforming classic solvers in specific scenarios like switched power converter circuits.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Galois Theory and the Algebraicity of Solutions - Part I

Explore differential Galois theory and algebraicity of solutions in this advanced mathematics lecture, delving into singular differential equations.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

SCI MUNI

On Uniqueness of Submaximally Symmetric Vector ODEs of C-Class

Delve into the mathematical analysis of submaximally symmetric vector ODEs of C-class, exploring uniqueness properties and theoretical foundations.

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

Dot Physics

Differential Equation with Boundary Conditions Using Finite Difference in Python

Solve differential equations with boundary conditions using Python's NumPy and finite difference method. Master numerical techniques for complex mathematical problems.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Towards a Kontsevich-Zagier Type Conjecture for Holonomic Series

Delve into advanced mathematical concepts exploring holonomic series and their relationship to the Kontsevich-Zagier conjecture through rigorous theoretical analysis.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Higher Dimensional Katz Theory

Explore advanced mathematical concepts in higher dimensional Katz theory through rigorous analysis and theoretical frameworks within singular differential equations.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

G-Functions of Differential Order 2

Delve into advanced mathematical concepts exploring G-functions of differential order 2, focusing on algebraicity and transcendence properties in singular differential equations.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Galois Theory and the Algebraicity of Solutions - Part 3

Delve into advanced concepts of Differential Galois Theory, exploring algebraicity of solutions and their applications in singular differential equations with mathematician Michael Singer.

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

IMSA

General Concept of Periodicity for Any Time Scales

Explore a general concept of periodicity for any time scales with Jaqueline Mesquita, a renowned Brazilian mathematician specializing in differential equations, as she presents applications and insights in this mathematical field.

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

Institute for Advanced Study

Log-Noetherian Functions

Explore o-minimal structures R_LN and R_{LN,exp} with effective finiteness properties, covering period integrals for algebraic families through hyperbolic geometry and algebra.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Introduction to Differential Equations

13 reviews

Learn the mathematical theory of ordinary differential equations and its application to biological and physical systems.

• edX
• 9 weeks, 8-10 hours a week
• Finished
• Free Online Course (Audit)