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#Boundary Value Problems

Showing: 36 courses
NPTEL

Transform Calculus and Its Applications in Differential Equations

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Comprehensive exploration of integral transforms, focusing on Laplace and Fourier transforms, their properties, and applications in solving differential equations and boundary value problems.
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61 Lesons
1 day 6 hours
On-Demand
Free-Video
Dr. Gajendra Purohit

Integral Transform - Laplace & Fourier Transform

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Comprehensive exploration of Laplace and Fourier transforms, covering theory, applications, and problem-solving techniques for differential equations and signal processing.
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16 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Um Breve Passeio pelas Equações Diferenciais Parciais

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Explore os fundamentos e aplicações das Equações Diferenciais Parciais, abordando conceitos-chave e sua importância na modelagem matemática de fenômenos complexos.
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1 Lesons
41 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

2D Finite Element Method - Radiation Boundary Condition

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Explore radiation boundary conditions in 2D finite element methods. Learn key concepts and applications for advanced numerical analysis in electromagnetic simulations.
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1 Lesons
23 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Regularity Problem for the Laplace Equation in Rough Domains

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Explores recent advances in Boundary Value Problems for the Laplace operator in rough domains, focusing on the equivalence between Dirichlet and regularity problem solvability.
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1 Lesons
42 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

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

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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.
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1 Lesons
48 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Wave Enhancement Through Spectral Optimization - 33rd IMAGINE Seminar

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Explore efficient optimization of wave transmission in cavities through boundary condition adjustments, using spectral analysis and layer potential methods for accurate eigenvalue calculations.
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25 Lesons
57 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5

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Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

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

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Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 3

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Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

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

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Explores boundary-value problems for linear loaded integro-differential equations, discussing mathematical techniques and applications in theoretical physics and engineering.
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1 Lesons
21 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

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Explore optimal balance numerical method for two-scale dynamical systems, focusing on quasi-convergence of nudging solver and its effectiveness in computing slow manifolds.
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1 Lesons
43 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A New Approach to the Hot Spots Conjecture

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Explore a novel approach to the hot spots conjecture in mathematics, focusing on eigenvalues of Neumann and Dirichlet Laplacians and recent advances in the field.
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1 Lesons
28 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Harmonic Measure with Robin Boundary Conditions

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Explore harmonic measure with Robin boundary conditions in this mathematical analysis talk by Guy David at CIRM's thematic meeting on fractals and networks.
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1 Lesons
39 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

A Problem of Free Boundary Type for Caloric Measure

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Explore a free boundary problem for caloric measure in this advanced mathematical talk by Steve Hofmann, delving into harmonic analysis and partial differential equations.
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1 Lesons
58 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Illustrative Examples - Lecture 72

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Explore illustrative examples of the Laplace Equation in spherical coordinates, enhancing understanding of this fundamental concept in mathematical physics.
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1 Lesons
13 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

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

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Explore Green's Function in 2D, focusing on evaluating constants. Learn key concepts and techniques for solving complex mathematical problems.
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1 Lesons
17 minutes
On-Demand
Free-Video
Dot Physics

Differential Equation with Boundary Conditions Using Finite Difference in Python

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Solve differential equations with boundary conditions using Python's NumPy and finite difference method. Master numerical techniques for complex mathematical problems.
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1 Lesons
23 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

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

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Explore Dirichlet and Neumann boundary conditions for the Laplace Equation, enhancing understanding of partial differential equations and their applications.
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1 Lesons
29 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

ODE-BVP: Shooting Method - Lecture 1

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Learn to solve boundary value problems for ODEs using the shooting method, a powerful numerical technique for finding solutions.
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1 Lesons
16 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Neumann Boundary Value Problems and Mixed Boundary Conditions

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Explore Neumann boundary value problems, mixed boundary conditions, and Robin boundary conditions in mathematical analysis.
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1 Lesons
29 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Review of Governing Equations: Classification of PDEs

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Explore the classification of PDEs based on physical behavior and nature, gaining insights into problem categorization and governing equations.
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1 Lesons
51 minutes
On-Demand
Free-Video
Prof. Ryan C. Cooper

ME3255 - Shooting Method for ODE Solutions

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Explore the shooting method for solving ODEs, enhancing your numerical analysis skills and problem-solving abilities in engineering applications.
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1 Lesons
14 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Index Theory and Applications to Scalar Curvature

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Explore index theorems for compact manifolds with boundary and their applications to scalar curvature geometry, focusing on Dirac operators and boundary value problems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Banach Center

A Gentle Introduction to Hardy Spaces

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Explore Hardy spaces through a gentle introduction, covering fundamental concepts and applications in complex analysis and functional theory.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Third-Order Eigenvalue Problems

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Explore third-order eigenvalue problems with Maria Del Mar Gonzalez, delving into advanced mathematical concepts and their applications in spectral geometry.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Weyl Asymptotics for Poincare-Steklov Eigenvalues in Domains with Lipschitz Boundaries

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Explorez les asymptotiques de Weyl pour les valeurs propres de Poincaré-Steklov dans un domaine à frontière lipschitzienne, avec une approche basée sur l'approximation par des problèmes réguliers.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Large Steklov Eigenvalues Under Geometric Constraints

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Explore large Steklov eigenvalues in compact Riemannian manifolds, examining geometric constraints and constructing metrics with fixed volume and boundary conditions.
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1 Lesons
50 minutes
On-Demand
Free-Video
HyperComplex Seminar

On the Continuous Extension of the Logarithmic Double Layer Potential to Boundary of Domain

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Explore continuous extension of logarithmic double layer potential to Ahlfors-regular curve boundaries. Learn necessary and sufficient conditions for extension and examine illustrative examples.
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1 Lesons
47 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

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

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Explore alternate representations of Green's Function in 1-D, focusing on practical applications and problem-solving techniques in mathematical physics.
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1 Lesons
15 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

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

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Explore advanced concepts in Green's Function for 2D problems, focusing on evaluating constants in the second part of this mathematical analysis.
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1 Lesons
11 minutes
On-Demand
Free-Video
Institute for Advanced Study

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

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Explore energy dissipation in Navier-Stokes equations with non-characteristic boundaries, presented by Jincheng Yang from the Institute for Advanced Study.
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1 Lesons
18 minutes
On-Demand
Free-Video
Dot Physics

Solving a Boundary Value Problem with the Shooting Method and Python

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Learn to solve boundary value problems using the shooting method and Python, with Euler method implementation and animated graph visualization.
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4 Lesons
19 minutes
On-Demand
Free-Video
Dot Physics

Solving a Boundary Value Problem with the Finite Difference Method - Python

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Implement finite difference method in Python to solve boundary value problems for differential equations. Learn practical numerical techniques.
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1 Lesons
22 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

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

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Explore Green's Function through a one-dimensional example, gaining insights into this mathematical concept and its applications in physics and engineering.
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1 Lesons
20 minutes
On-Demand
Free-Video
Fields Institute

3D Boundary Vertex Operator Algebras and Higgs Branches

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Delve into advanced mathematical physics concepts exploring the relationship between 3D boundary vertex operator algebras and Higgs branches in quantum field theory.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video