Boundary Value Problems Courses and Certifications

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

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

Microcredential

18.03x Differential Equations

Explore differential equations through real-world applications, from temperature to population growth. Develop mathematical tools for solving linear and nonlinear systems, using linear algebra, Fourier series, and Laplace transforms.

• edX
• 54 weeks, 3-6 hours a week
• On-Demand
• $425.00
• 4 courses

IIT Kanpur;  NPTEL

Basics of Finite Element Analysis - I

2 reviews

Learn fundamental concepts and applications of Finite Element Analysis, including mathematical foundations, 1-D problems, heat transfer, solid mechanics, beams, error analysis, and time-dependent problems.

• Swayam
• 8 weeks, 3-4 hours a week
• On-Demand
• Free Online Course

DIFFERENTIAL EQUATIONS

Explore differential equations and key mathematical analysis concepts, enhancing problem-solving skills in calculus and applied mathematics.

• California Community Colleges System
• 11 weeks, 5 hours a week
• 6th Jan, 2025
• Paid Course

Differential Equations

Master techniques for solving ordinary differential equations and their practical applications through proven mathematical methods and real-world examples.

• California Community Colleges System
• 11 weeks, 5 hours a week
• 6th Jan, 2025
• Paid 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

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

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 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

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

Dr. Gajendra Purohit

Integral Transform - Laplace & Fourier Transform

Comprehensive exploration of Laplace and Fourier transforms, covering theory, applications, and problem-solving techniques for differential equations and signal processing.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Regularity Problem for the Laplace Equation in Rough Domains

Explores recent advances in Boundary Value Problems for the Laplace operator in rough domains, focusing on the equivalence between Dirichlet and regularity problem solvability.

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