A boundary problem in analysis is a phenomenon in which geographical patterns are differentiated by the shape and arrangement of boundaries that are drawn for administrative or measurement purposes. The boundary problem occurs because of the loss of neighbors in analyses that depend on the values of the neighbors. While geographic phenomena are measured and analyzed within a specific unit, identical spatial data can appear either dispersed or clustered depending on the boundary placed around the data. In analysis with point data, dispersion is evaluated as dependent of the boundary. In analysis with areal data, statistics should be interpreted based upon the boundary. (Wikipedia).
Intro to Boundary Value Problems
This video introduces boundary value problems. The general solution is given. Video Library: http://mathispower4u.com
From playlist Introduction to Differential Equations
Mod-01 Lec-23 Discretization of ODE-BVP using Least Square Approximation and Gelarkin Method
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Lauri Oksanen: On the boundary control method
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Partial Differential Equations
Patrick van Meurs: Analysis of a boundary layer in a discrete to continuum problem
Patrick van Meurs: Analysis of a boundary layer in a discrete-to-continuum problem I will present the discrete-to-continuum limit of a non-locally interacting particle system where the unknowns are the positions of the particles on the one dimensional half line. This particle system arise
From playlist HIM Lectures 2015
Boundary Value Problem (Boundary value problems for differential equations)
Boundary Value Problems are not to bad! Here's how to solve a (2 point) boundary value problem in differential equations. Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additio
From playlist Differential Equations
(4.1.1): Boundary Value Problems
This video defines a boundary value problems and then provides two examples of solving boundary value problems https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Présentation du trimestre "Problèmes inverses"
Inverse problems are concerned with the recovery of some unknown quantities involved in a system from the knowledge of specific measurements. Typical examples are: the boundary distance rigidity problem where one would like to recover the metric tensor of a compact Riemannian manifold wit
From playlist T2-2015 : Inverse Problems
Nexus trimester - Henry Pfister (Duke University) 2/2
Factor Graphs, Belief Propagation, and Density Evolution - 2/2 Henry Pfister (Duke University) March 16, 2016 Abstract: The goal of this mini-course is to introduce students to marginal inference techniques for large systems of random variables defined by sparse random factor graphs. Ove
From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester
Differential Equations 1 - Maximum Principle: Oxford Mathematics 2nd Year Student Lecture
This is the final lecture from Melanie Rupflin's Second Year Differential Equations Course. In this lecture we prove the parabolic maximum principle and discuss how it can be used also for nonlinear versions of the heat equation to control the behaviour of solutions in terms of the initial
From playlist Oxford Mathematics Student Lectures - Differential Equations
Patterns, Universality and Computational Algorithms - Nigel Goldenfeld
Nigel Goldenfeld University of Illinois at Urbana-Champaign December 1, 2010 Can we use computational algorithms to make accurate predictions of physical phenomena? In this talk, intended for non-experts, I will give examples where complicated space-time phenomena can be exquisitely captu
From playlist Mathematics
In this video we simplify the general heat equation to look at only a single spatial variable, thereby obtaining the 1D heat equation. We solving the resulting partial differential equation using separation of variables. A sample Mathematica notebook that accompanies this tutorial is loc
From playlist Partial Differential Equations
Mario Figueiredo: ADMM in Imaging Inverse Problems: Some History and Recent Advances
Abstract: The alternating direction method of multipliers (ADMM) is an optimization tool of choice for several imaging inverse problems, namely due its flexibility, modularity, and efficiency. In this talk, I will begin by reviewing our earlier work on using ADMM to deal with classical pro
From playlist Analysis and its Applications
Pattern Formation in Biology (Lecture 2) by Vijaykumar Krishnamurthy
PROGRAM: BANGALORE SCHOOL ON STATISTICAL PHYSICS - XIII (HYBRID) ORGANIZERS: Abhishek Dhar (ICTS-TIFR, India) and Sanjib Sabhapandit (RRI, India) DATE & TIME: 11 July 2022 to 22 July 2022 VENUE: Madhava Lecture Hall and Online This school is the thirteenth in the series. The schoo
From playlist Bangalore School on Statistical Physics - XIII - 2022 (Live Streamed)
Lecture 23 (CEM) -- Slice Absorption Method
This lecture introduces the student to the slice absorption method, which is essentially a block tridiagonal solver for the finite-difference frequency-domain method. It is able to solve larger problems than the conventional finite-difference frequency-domain method. Prerequisite Lecture
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Xavier Ros-Oton: Regularity of free boundaries in obstacle problems, Lecture II
Free boundary problems are those described by PDE that exhibit a priori unknown (free) interfaces or boundaries. Such type of problems appear in Physics, Geometry, Probability, Biology, or Finance, and the study of solutions and free boundaries uses methods from PDE, Calculus of Variations
From playlist Hausdorff School: Trending Tools
Theoretical analysis of boundary layer problems... - Dalibard - Workshop 1 - CEB T3 2019
Dalibard (Sorbonne Université, Paris) / 11.10.2019 Theoretical analysis of boundary layer problems in oceanographic models The purpose of this talk is to introduce some mathematical techniques to study boundary layer systems and to apply these techniques to classical oceanographic
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Grigorios Fournodavlos - The mysterious nature of the Big Bang singularity - IPAM at UCLA
Recorded 29 October 2021. Grigorios Fournodavlos of Princeton University presents "The mysterious nature of the Big Bang singularity" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-ii-mat
From playlist Workshop: Mathematical and Numerical Aspects of Gravitation
Mod-01 Lec-13 Solving ODE - BVPs and PDEs Using Finite Difference Method
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Mechthild Thalhammer: High-order Magnus integrators for non-autonomous linear evolution equations
Abstract: The class of commutator-free Magnus integrators is known to provide a favourable alternative to standard interpolatory Magnus integrators, in particular for large-scale applications arising in the time integration of non-autonomous linear evolution equations. A high-order commuta
From playlist Numerical Analysis and Scientific Computing