Variants of random walks | Boundary value problems | Partial differential equations | Numerical differential equations

Walk-on-spheres method

In mathematics, the walk-on-spheres method (WoS) is a numerical probabilistic algorithm, or Monte-Carlo method, used mainly in order to approximate the solutions of some specific boundary value problem for partial differential equations (PDEs). The WoS method was first introduced by Mervin E. Muller in 1956 to solve Laplace's equation, and was since then generalized to other problems. It relies on probabilistic interpretations of PDEs, and simulates paths of Brownian motion (or for some more general variants, diffusion processes), by sampling only the exit-points out of successive spheres, rather than simulating in detail the path of the process. This often makes it less costly than "grid-based" algorithms, and it is today one of the most widely used "grid-free" algorithms for generating Brownian paths. (Wikipedia).

Walk-on-spheres method
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In this video I will show you how to find the equation of a sphere given the endpoints of the diameter. We are given a sphere which has endpoints (5, 4, 3) and (1, 6, -9) and we find the equation of the sphere. Great Calculus Book: https://amzn.to/3VfotAU This is my affiliate link. As an

From playlist Spheres

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Introduction to Geometer's Sketchpad: Constructions

This video describes how to use the Construct menu in Geometer's Sketchpad to create a square. Constructions are the most common way to create -rigid- shapes, i.e., shapes whose properties don't change when you move their pieces.

From playlist Geometer's Sketchpad

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More resources available at www.misterwootube.com

From playlist Measuring Further Shapes

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More resources available at www.misterwootube.com

From playlist Further Work with Vectors

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The video explains how to determine the center and radius of a sphere. http://mathispower4u.yolasite.com/

From playlist Vectors

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Coulomb Scale Conduction - Part 1

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From playlist All Demos

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Project Page: http://www.cs.cmu.edu/~kmcrane/Projects/MonteCarloGeometryProcessing/index.html

From playlist Research

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From playlist Mathematics

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From playlist Centro di Ricerca Matematica Ennio De Giorgi

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Physics - Test Your Knowledge: Vectors (21 of 30) Geodesic Part 1: Find the Angle

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From playlist PHYSICS 1A TEST YOUR KNOWLEDGE : VECTORS

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Stable Random Fields, Patterson-Sullivan measures by Mahan Mj

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From playlist Probabilistic Methods in Negative Curvature - 2019

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AQA GCSE Maths Foundation (8300) : Practice Set 2 Paper 2

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From playlist AQA (8300) Foundation Tier Exam Solutions

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Measuring Shape With Homology - Robert MacPherson

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From playlist Mathematics

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Gregory Miermont - Un panorama des limites d'échelles de cartes aléatoires

UMPA, ENS Lyon, Prix Jaffé 2016 Réalisation technique : Antoine Orlandi (GRICAD) | Tous droits réservés

From playlist Des mathématiciens primés par l'Académie des Sciences 2017

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From playlist AQA GCSE Maths Practice Papers - All Paper Sets

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03/28/19 Danielle Brake

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From playlist Spring 2019 Symbolic-Numeric Computing

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MS in Data Science Seminar Series: Luis Serrano, author of Grokking Machine Learning

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From playlist ML Talks by Luis Serrano

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Geometry - Constructions (9 of 15) How to Draw a Tangent Line to a Circle

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From playlist GEOMETRY 2 - CONSTRUCTIONS

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