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#Heat Equation

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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
Steve Brunton

Solving PDEs with the Laplace Transform - The Heat Equation

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Learn to solve the heat equation using Laplace Transforms. Explore problem setup, transform application, ODE solutions, and boundary conditions. Gain insights into frequency and time domain solutions.
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7 Lesons
40 minutes
On-Demand
Free-Video
3Blue1Brown

But What Is a Fourier Series? From Heat Flow to Drawing With Circles

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Explore Fourier series through heat flow and circular drawings, understanding complex mathematical concepts with engaging animations and clear explanations.
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8 Lesons
25 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Gambling for Resurrection and the Heat Equation on a Triangle

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Explore stochastic analysis and numerical probability through gambling for resurrection and the heat equation on a triangle in this mathematical conference talk.
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1 Lesons
36 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
NIOS

Mathematics III

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Explore advanced mathematical concepts including ODEs, improper integrals, series solutions, Bessel functions, Laplace transformations, and partial differential equations.
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20 Lesons
18 hours
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
Tom Rocks Maths

Oxford Calculus: How to Solve the Heat Equation

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Learn to solve the Heat Equation, a fundamental PDE in calculus, with Oxford mathematician Dr Tom Crawford. Includes practice questions, interactive worksheets, and a free calculator app for comprehensive understanding.
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1 Lesons
35 minutes
On-Demand
Free-Video
Tom Rocks Maths

Oxford Calculus - Heat Equation Derivation

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Comprehensive derivation of the Heat Equation from physical principles, including Liebniz Rule and Fourier's Law. Extends to 2D and 3D applications with interactive exercises for practice.
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1 Lesons
25 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

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
BIMSA

The Ricci Flow - Lecture by Richard Hamilton

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Explore the Ricci flow equation, its applications in geometry, and its role in understanding manifold curvature evolution. Gain insights into singularities and geometric analysis.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Steve Brunton

Deriving the Heat Equation - A Parabolic Partial Differential Equation for Heat Energy Conservation

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Comprehensive derivation of the heat equation, exploring its mathematical foundations and physical principles in thermal energy conservation and transfer.
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6 Lesons
24 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Gradient Flow Approach to Kinetic Equations

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Gradient flow approach to linear kinetic equations, exploring entropy dissipation inequality and large deviation principles. Discusses potential extensions to non-linear cases and connections to Markov chains.
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26 Lesons
58 minutes
On-Demand
Free-Video
Let's Code Physics

Introduction to Difference Equations - Computational Quantum Mechanics Part 1

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Transform differential equations into difference equations for computer-based quantum mechanics study. Explore this process using the heat equation and learn to create visualizations with VPython.
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1 Lesons
25 minutes
On-Demand
Free-Video