Elliptic Equations Courses and Certifications

Hausdorff Center for Mathematics

Numerical Homogenization Based Fast Solver for Multiscale PDEs

Explore numerical homogenization for multiscale PDEs, covering Bayesian approaches, exponential decaying bases, and efficient solvers. Learn about applications in geophysics, materials science, and biology.

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

Society for Industrial and Applied Mathematics

Monotonicity Method for Extreme, Singular and Degenerate Inclusions in Electrical Impedance Tomography

Explores advanced mathematical techniques for electrical impedance tomography, focusing on the monotonicity method's application to extreme, singular, and degenerate inclusions in conductivity reconstruction.

• YouTube
• 53 minutes
• On-Demand
• Conference Talk

ICTP Mathematics

Partial Differential Equations - Lecture 25

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 28

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.

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

ICTP Mathematics

Partial Differential Equations - Lecture 24

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in this comprehensive lecture.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 22

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.

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

ICTP Mathematics

Partial Differential Equations - Lecture 21

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.

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

ICTP Mathematics

Partial Differential Equations - Lecture 16

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 13

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 8

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.

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

ICTP Mathematics

Partial Differential Equations - Lecture 10

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.

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

Hausdorff Center for Mathematics

A Supercritical Elliptic Equation in the Annulus

Explore advanced techniques for solving Sobolev-supercritical elliptic problems, focusing on symmetry and monotonicity properties to overcome compactness issues in mathematical analysis.

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

Society for Industrial and Applied Mathematics

Coarse-graining, Renormalization, and Quantitative Homogenization in PDE Analysis

Explore quantitative homogenization in elliptic and parabolic equations, focusing on coarse-graining and renormalization techniques. Discuss applications to degenerate equations and mathematical physics models.

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

Institut des Hautes Etudes Scientifiques (IHES)

Spacetime Harmonic Functions and Applications in Positive Mass Theorems and Comparison Geometry

Explorez les fonctions harmoniques spatio-temporelles et leurs applications aux théorèmes de masse positive et à la géométrie comparative.

• YouTube
• 46 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
• Finished
• Free Online Course