Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology

Mimmo Iannelli; Mi Young Kim; Eun Jae Park

doi:10.1016/S0096-3003(96)00222-6

Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology

Mimmo Iannelli, Mi Young Kim, Eun Jae Park

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

Splitting methods for nonlinear models arising from population dynamics and epidemiology are described and analyzed. A backward finite differencing along the characteristic is used for the approximation. It is shown that the schemes are convergent at first-order rate in the maximum norm. The stability of the methods is discussed. Several numerical examples are presented.

Original language	English
Pages (from-to)	69-93
Number of pages	25
Journal	Applied Mathematics and Computation
Volume	87
Issue number	1
DOIs	https://doi.org/10.1016/S0096-3003(96)00222-6
Publication status	Published - 1997

Bibliographical note

Funding Information:
The authors were supported in part by a post doctoral fellowship from Universit'a di Trento (M.-Y. K.) and by G.N.A.F.A. of C.N.R. Italy (E.-J. P.).

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/S0096-3003(96)00222-6

Cite this

@article{06599cf829ce4830ab670024b2a5c870,

title = "Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology",

abstract = "Splitting methods for nonlinear models arising from population dynamics and epidemiology are described and analyzed. A backward finite differencing along the characteristic is used for the approximation. It is shown that the schemes are convergent at first-order rate in the maximum norm. The stability of the methods is discussed. Several numerical examples are presented.",

author = "Mimmo Iannelli and Kim, {Mi Young} and Park, {Eun Jae}",

note = "Funding Information: The authors were supported in part by a post doctoral fellowship from Universit'a di Trento (M.-Y. K.) and by G.N.A.F.A. of C.N.R. Italy (E.-J. P.).",

year = "1997",

doi = "10.1016/S0096-3003(96)00222-6",

language = "English",

volume = "87",

pages = "69--93",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology

AU - Iannelli, Mimmo

AU - Kim, Mi Young

AU - Park, Eun Jae

N1 - Funding Information: The authors were supported in part by a post doctoral fellowship from Universit'a di Trento (M.-Y. K.) and by G.N.A.F.A. of C.N.R. Italy (E.-J. P.).

PY - 1997

Y1 - 1997

N2 - Splitting methods for nonlinear models arising from population dynamics and epidemiology are described and analyzed. A backward finite differencing along the characteristic is used for the approximation. It is shown that the schemes are convergent at first-order rate in the maximum norm. The stability of the methods is discussed. Several numerical examples are presented.

AB - Splitting methods for nonlinear models arising from population dynamics and epidemiology are described and analyzed. A backward finite differencing along the characteristic is used for the approximation. It is shown that the schemes are convergent at first-order rate in the maximum norm. The stability of the methods is discussed. Several numerical examples are presented.

UR - http://www.scopus.com/inward/record.url?scp=0346857136&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346857136&partnerID=8YFLogxK

U2 - 10.1016/S0096-3003(96)00222-6

DO - 10.1016/S0096-3003(96)00222-6

M3 - Article

AN - SCOPUS:0346857136

SN - 0096-3003

VL - 87

SP - 69

EP - 93

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this