QUASILINEAR MULTISTEP METHODS AND VARIABLE STEP PREDICTOR-CORRECTOR METHODS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS.

Zdzislaw Jackiewicz

doi:10.1137/0723029

QUASILINEAR MULTISTEP METHODS AND VARIABLE STEP PREDICTOR-CORRECTOR METHODS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS.

Zdzislaw Jackiewicz

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

37 Scopus citations

Abstract

The theory of quasilinear multistep methods and predictor-corrector methods for neutral functional differential equations is developed. The theorem about the asymptotic behaviour of the global discretization error of quasilinear methods, which forms a theoretical basis for step control strategy for predictor-corrector methods for neutral equations, is given. Some problems of implementation of these methods are also addressed, and the results of numerical experiments are presented.

Original language	English (US)
Pages (from-to)	423-452
Number of pages	30
Journal	SIAM Journal on Numerical Analysis
Volume	23
Issue number	2
DOIs	https://doi.org/10.1137/0723029
State	Published - Jan 1 1986
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1137/0723029

Cite this

@article{ad2e8e9a62dc4f6d8bc01087dd7c8cd8,

title = "QUASILINEAR MULTISTEP METHODS AND VARIABLE STEP PREDICTOR-CORRECTOR METHODS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS.",

abstract = "The theory of quasilinear multistep methods and predictor-corrector methods for neutral functional differential equations is developed. The theorem about the asymptotic behaviour of the global discretization error of quasilinear methods, which forms a theoretical basis for step control strategy for predictor-corrector methods for neutral equations, is given. Some problems of implementation of these methods are also addressed, and the results of numerical experiments are presented.",

author = "Zdzislaw Jackiewicz",

year = "1986",

month = jan,

day = "1",

doi = "10.1137/0723029",

language = "English (US)",

volume = "23",

pages = "423--452",

journal = "SIAM Journal on Numerical Analysis",

issn = "0036-1429",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "2",

}

TY - JOUR

T1 - QUASILINEAR MULTISTEP METHODS AND VARIABLE STEP PREDICTOR-CORRECTOR METHODS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS.

AU - Jackiewicz, Zdzislaw

PY - 1986/1/1

Y1 - 1986/1/1

N2 - The theory of quasilinear multistep methods and predictor-corrector methods for neutral functional differential equations is developed. The theorem about the asymptotic behaviour of the global discretization error of quasilinear methods, which forms a theoretical basis for step control strategy for predictor-corrector methods for neutral equations, is given. Some problems of implementation of these methods are also addressed, and the results of numerical experiments are presented.

AB - The theory of quasilinear multistep methods and predictor-corrector methods for neutral functional differential equations is developed. The theorem about the asymptotic behaviour of the global discretization error of quasilinear methods, which forms a theoretical basis for step control strategy for predictor-corrector methods for neutral equations, is given. Some problems of implementation of these methods are also addressed, and the results of numerical experiments are presented.

UR - http://www.scopus.com/inward/record.url?scp=0022698047&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022698047&partnerID=8YFLogxK

U2 - 10.1137/0723029

DO - 10.1137/0723029

M3 - Article

AN - SCOPUS:0022698047

SN - 0036-1429

VL - 23

SP - 423

EP - 452

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 2

ER -

QUASILINEAR MULTISTEP METHODS AND VARIABLE STEP PREDICTOR-CORRECTOR METHODS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS.

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this