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#Laplace's Equation

Showing: 24 courses
NPTEL

Introduction to Electromagnetism

3 rewiews
This course introduces students to handling electromagnetic theory using vector calculus. This enables students to handle problems that are more complicated than they are used to from their school days.
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60 Lesons
17 hours
On-Demand
Free-Video
NPTEL

Electromagnetic Theory

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Comprehensive exploration of electromagnetic theory, covering fields, potentials, Maxwell's equations, waves, and applications in waveguides and radiation. Ideal for advanced physics students.
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40 Lesons
1 day 10 hours
On-Demand
Free-Video

Partial Differential Equations

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Explore partial differential equations through various methods, including characteristic, coordinate, and transform approaches. Learn to solve wave and heat equations using advanced techniques.
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28 Lesons
8 hours
On-Demand
Free-Video

Partial Differential Equations

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Explore advanced mathematical concepts including Laplace equations, convolution, polar coordinates, and more. Master techniques for solving complex differential equations and their applications.
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26 Lesons
10 hours
On-Demand
Free-Video
NPTEL

Introduction to CFD

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Explore computational fluid dynamics fundamentals, from numerical methods to advanced techniques like multigrid and parallel computing, with practical demonstrations and applications.
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39 Lesons
1 day 8 hours
On-Demand
Free-Video
Steve Brunton

PDE 101 - Separation of Variables or How I Learned to Stop Worrying and Solve Laplace's Equation

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Explore the powerful Separation of Variables technique for solving PDEs, focusing on Laplace's equation in 2D for steady-state heat distribution, with applications in physics and engineering.
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7 Lesons
50 minutes
On-Demand
Free-Video
Institute for Advanced Study

Viscosity Solutions Approach to Variational Problems - Daniela De Silva

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Explore viscosity solutions for variational problems with Daniela De Silva. Learn about Laplace's equation, Harnack inequality, and discrete equations in this advanced mathematics lecture.
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17 Lesons
55 minutes
On-Demand
Free-Video
Steve Brunton

Canonical Linear PDEs- Wave Equation, Heat Equation, and Laplace's Equation

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Explore fundamental linear PDEs: wave, heat, and Laplace's equations. Gain insights into their properties, applications, and mathematical foundations in engineering and physics.
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13 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Heat Equation- Derivation and Equilibrium Solution in 1D - Laplace's Equation

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Explore the derivation and equilibrium solution of the heat equation in 1D, including Laplace's equation, boundary conditions, and practical applications in engineering mathematics.
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9 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Potential Flow and Laplace's Equation

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Explore potential flow and Laplace's equation in engineering mathematics, covering vector fields, heat conduction, and practical applications in fluid dynamics and thermodynamics.
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8 Lesons
46 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
Steve Brunton

Complex Analysis - Analytic Functions Solve Laplace's Equation

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Explore how analytic complex functions' real and imaginary parts solve Laplace's equation, introducing harmonic functions in this in-depth mathematical analysis.
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1 Lesons
41 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Solution to Laplace's Equation in Matlab - Intro to Fourier Series

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Explore numerical solutions to Laplace's Equation using MATLAB and get introduced to Fourier Series in this engineering mathematics lecture, with practical code examples and comprehensive notes provided.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Heat Equation in 2D and 3D - 2D Laplace Equation on Rectangle

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Explore multidimensional heat equations and the 2D Laplace equation on rectangles, advancing your understanding of engineering mathematics and partial differential equations.
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1 Lesons
47 minutes
On-Demand
Free-Video
Steve Brunton

Analytic Solution to Laplace's Equation in 2D - On Rectangle

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Explore the analytic solution to Laplace's equation in 2D on a rectangle, enhancing your understanding of engineering mathematics and partial differential equations.
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1 Lesons
48 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

The Laplace Equation in Spherical Coordinates: Solution - Lecture 71

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Solve the Laplace equation in spherical coordinates, exploring methods and techniques for finding solutions to this fundamental partial differential equation.
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1 Lesons
12 minutes
On-Demand
Free-Video
HyperComplex Seminar

Recovering Bicomplex Holomorphic Functions Without Cauchy-Riemann Equations

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Explore advanced techniques for recovering bicomplex holomorphic functions without using Cauchy-Riemann equations, focusing on complex harmonic functions and their applications in hypercomplex analysis.
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1 Lesons
28 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
Institut des Hautes Etudes Scientifiques (IHES)

Positive Mass Theorem for Asymptotically Flat Manifolds with Isolated Conical Singularities

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Explore recent advancements in positive mass theorem for asymptotically flat manifolds with isolated conical singularities, covering spin and non-spin settings, analysis techniques, and Geroch-type results.
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1 Lesons
45 minutes
On-Demand
Free-Video
Steve Brunton

Potential Flow, Stream Functions, and Examples

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Explore potential flow, stream functions, and Laplace's equation with practical examples in fluid dynamics. Gain insights into fundamental concepts and their applications.
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1 Lesons
54 minutes
On-Demand
Free-Video
Steve Brunton

Potential Flow Part 2 - Details and Examples

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Explore advanced potential flow concepts, solving Laplace's equation for idealized fluid flows. Learn contour integrals, analyze examples, and understand how PDE solutions establish vector fields.
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1 Lesons
26 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
GDC

Math for Game Programmers - Harmonic Functions and Mean-Value

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Explore harmonic functions and mean-value parameterizations for procedural geometry in game development, with applications in mesh manipulation and UV generation.
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22 Lesons
30 minutes
On-Demand
Free-Video