Spatial analysis

Boundary problem (spatial analysis)

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).

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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

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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

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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

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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

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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

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(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

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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

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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

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04 1 Local Sensitivity Analysis

Local sensitivity analysis

From playlist QUSS GS 260

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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

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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

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Solving the 1D Heat Equation

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

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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

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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)

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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

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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

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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

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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

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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

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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

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Sensitivity analysis | Generalized least squares | Fuzzy architectural spatial analysis | Spatial analysis | Modifiable areal unit problem