Boundary Value Problems Courses and Certifications

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 2

Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.

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

Society for Industrial and Applied Mathematics

Wave Enhancement Through Spectral Optimization - 33rd IMAGINE Seminar

Explore efficient optimization of wave transmission in cavities through boundary condition adjustments, using spectral analysis and layer potential methods for accurate eigenvalue calculations.

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

Institute for Advanced Study

Energy Dissipation of Navier-Stokes Equation with Non-Characteristic Boundary

Explore energy dissipation in Navier-Stokes equations with non-characteristic boundaries, presented by Jincheng Yang from the Institute for Advanced Study.

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

Dot Physics

Solving a Boundary Value Problem with the Shooting Method and Python

Learn to solve boundary value problems using the shooting method and Python, with Euler method implementation and animated graph visualization.

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

NPTEL-NOC IITM

Introduction to Green's Function - 3D Example

Explore Green's Function in 3D with a comprehensive introduction, focusing on practical examples and applications.

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

NPTEL-NOC IITM

Introduction to Green's Function - A One-Dimensional Example

Explore Green's Function through a one-dimensional example, gaining insights into this mathematical concept and its applications in physics and engineering.

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

NPTEL-NOC IITM

2D Finite Element Method - Radiation Boundary Condition

Explore radiation boundary conditions in 2D finite element methods. Learn key concepts and applications for advanced numerical analysis in electromagnetic simulations.

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

NPTEL-NOC IITM

Introduction to Green's Function: 2-D Wave Example - Finding Solution

Explore Green's Function for 2-D wave solutions, focusing on practical applications and problem-solving techniques in mathematical physics.

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

NPTEL-NOC IITM

The Laplace Equation: Dirichlet and Neumann Boundary Conditions - Lecture 67

Explore Dirichlet and Neumann boundary conditions for the Laplace Equation, enhancing understanding of partial differential equations and their applications.

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

NPTEL-NOC IITM

Review of Governing Equations: Classification of PDEs

Explore the classification of PDEs based on physical behavior and nature, gaining insights into problem categorization and governing equations.

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

NPTEL-NOC IITM

ODE-BVP: Shooting Method - Lecture 1

Learn to solve boundary value problems for ODEs using the shooting method, a powerful numerical technique for finding solutions.

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

NPTEL-NOC IITM

Introduction to Green's Function: 2-D Example - Evaluating Constants - Part 1

Explore Green's Function in 2D, focusing on evaluating constants. Learn key concepts and techniques for solving complex mathematical problems.

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

NPTEL-NOC IITM

Introduction to Green's Function: Motivations for Green's Functions

Explore Green's functions and their motivations in mathematical physics, gaining insights into solving differential equations and boundary value problems.

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

NPTEL-NOC IITM

Introduction to Green's Function: 2-D Example - Evaluating Constants - Part 2

Explore advanced concepts in Green's Function for 2D problems, focusing on evaluating constants in the second part of this mathematical analysis.

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

NPTEL-NOC IITM

Introduction to Green's Function: 1-D Example - Alternate Representation

Explore alternate representations of Green's Function in 1-D, focusing on practical applications and problem-solving techniques in mathematical physics.

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