Numerical solution by LMMs of stiff delay differential systems modelling an immune response
type: Item
instance of: scholarly article
title: Numerical solution by LMMs of stiff delay differential systems modelling an immune response
zbMATH Open document ID: 0859.65077
author: Gennady Bocharov
author: G. I. Marchuk
author: A. A. Romanyukha
published in: Numerische Mathematik
publication date: 1996-11-24T00:00:00Z
review text: The initial value problem for a delay differential equation \(y'=f(t,y(t),y(t-\tau))\) is studied using linear multistep methods (LMMs) where \(f\) is smooth enough and fulfills a Lipschitz condition. For approximation of the delayed variable Nordsieck's interpolation technique, providing an interpolation procedure consistent with the underlying multistep formula, is used. Applications to immunology are given.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34E13
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 932035
zbMATH Keywords: stiff systems
zbMATH Keywords: delay differential equation
zbMATH Keywords: linear multistep methods
zbMATH Keywords: Nordsieck's interpolation
zbMATH Keywords: immunology
reviewed by: Miroslav Bartušek
describes a project that uses: DELSOL
MaRDI profile type: Publication
full work available at URL: s002110050188
OpenAlex ID: W2023495544
DOI: 10.1007/S002110050188
description: scientific article; zbMATH DE number 932035