Boundary Value Problems Courses and Certifications

NPTEL-NOC IITM

Neumann Boundary Value Problems and Mixed Boundary Conditions

Explore Neumann boundary value problems, mixed boundary conditions, and Robin boundary conditions in mathematical analysis.

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

Hausdorff Center for Mathematics

José María Martell - Layer Potentials, Extrapolation and Boundary Value Problems in Unbounded Domains

Explore layer potentials, extrapolation, and boundary value problems in unbounded domains. Learn about elliptic systems, Neumann series, and weighted Banach function spaces in this advanced mathematics lecture.

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

International Centre for Theoretical Sciences

Boundary-Value Problems for a Linear Loaded Integro-Differential Equation

Explores boundary-value problems for linear loaded integro-differential equations, discussing mathematical techniques and applications in theoretical physics and engineering.

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

BIMSA

Recent Advances of Integral Equation Methods

Explore recent developments in integral equation methods for boundary value problems and parabolic PDEs, featuring fast algorithms and high-order convergence techniques.

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

The Julia Programming Language

Efficient Boundary Value Problems Solving in SciML

Explore advanced boundary value problem solving techniques in Julia's SciML ecosystem, featuring state-of-the-art solvers, error control adaptivity, and sparse AD integration.

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

NPTEL-NOC IITM

Weak Solutions of Elliptic Boundary Value Problems - Part 1

Explore weak solutions for elliptic boundary value problems, focusing on the Dirichlet problem for the Laplacian. Gain insights into advanced mathematical concepts and problem-solving techniques.

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

Joint Mathematics Meetings

Nonsmooth Boundary Value Problems

Explore nonsmooth boundary value problems in complex function theory, covering BMO functions, Hilbert transforms, and solvability in bounded domains. Insights into open problems and recent developments.

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

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

IIT Kharagpur;  NPTEL

Finite Element Method

Aprende el Método de Elementos Finitos para resolver ecuaciones diferenciales parciales en ingeniería estructural y traduce formulaciones FEM a código en MATLAB. Requiere conocimientos en Mecánica de Sólidos y Métodos Numéricos.

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

CEC;  Farook College

Differential Equations

Comprehensive study of differential equations, covering first-order and higher-order linear equations, boundary value problems, and applications. Develops mathematical reasoning and problem-solving skills essential for science and engineering.

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

IIT Roorkee;  NPTEL

Ordinary and Partial Differential Equations and Applications

Comprehensive study of ordinary and partial differential equations, covering existence, uniqueness, linear systems, power series solutions, stability, boundary value problems, and applications in engineering and science.

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

NPTEL;  IIT Kharagpur

Transform Calculus and Its Applications in Differential Equations

Comprehensive exploration of integral transforms, focusing on Laplace and Fourier transforms, their properties, and applications in solving differential equations and boundary value problems.

• YouTube
• 1 day 6 hours
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Harmonic Analysis - PCMI 28th Annual Summer Session 2018

Dive into advanced harmonic analysis through expert lectures on Almgren's center manifolds, elliptic homogenization, rectifiable measures, and minimal sets from leading mathematicians.

• YouTube
• 22 hours 53 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Lectures on Harmonic Analysis

Dive into advanced harmonic analysis through expert lectures covering Almgren's theory, elliptic homogenization, rectifiable measures, and minimal sets from leading mathematicians.

• YouTube
• 22 hours 53 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