An integrodifferential equation for the two-dimensional reflection kernel
type: Item
instance of: scholarly article
title: An integrodifferential equation for the two-dimensional reflection kernel
zbMATH Open document ID: 0755.45013
DOI: 10.1016/0096-3003(92)90053-4
author: S. Singh
published in: Applied Mathematics and Computation
publication date: 1992-09-27T00:00:00Z
review text: A derivation, based upon fundamental ``particle-counting'' arguments, of a spatially continuous (nonlinear-integro differential) equation, that is satisfied by the kernel of the reflection operator associated with a rectangular region in the four-compass-point discrete-directional model, is proposed. Motivations as well as conclusions illustrating the relationships with previous papers are suitably presented.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 81V25
zbMATH DE Number: 64429
zbMATH Keywords: method of doubling
zbMATH Keywords: invariant imbedding operators
zbMATH Keywords: collisions
zbMATH Keywords: interactions
zbMATH Keywords: nonlinear integrodifferential equation
zbMATH Keywords: reflection operator
zbMATH Keywords: four-compass-point discrete-directional model
reviewed by: Vinicio C. Boffi
MaRDI profile type: Publication
full work available at URL: 0096-3003(92)90053-4
OpenAlex ID: W1970891917
cites work: Q3492600
cites work: Q4203405
description: scientific article; zbMATH DE number 64429