Numerical solution of a hyperbolic free boundary problem with a method of characteristics

M. Brokate

doi:10.1007/BF01400257

Numerical solution of a hyperbolic free boundary problem with a method of characteristics

M. Brokate

University Hospital Augsburg

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

For a free boundary problem for a linear hyperbolic system in one space dimension with two unknowns we discuss a numerical algorithm which combines the method of characteristics and the front tracking method. We prove quadratic resp. linear convergence and illustrate this with numerical examples.

Originalsprache	Englisch
Seiten (von - bis)	85-99
Seitenumfang	15
Fachzeitschrift	Numerische Mathematik
Jahrgang	46
Ausgabenummer	1
DOIs	https://doi.org/10.1007/BF01400257
Publikationsstatus	Veröffentlicht - März 1985
Extern publiziert	Ja

Zugriff auf Dokument

10.1007/BF01400257

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

Dieses zitieren

@article{342272470281452d8def79c69cd81268,

title = "Numerical solution of a hyperbolic free boundary problem with a method of characteristics",

abstract = "For a free boundary problem for a linear hyperbolic system in one space dimension with two unknowns we discuss a numerical algorithm which combines the method of characteristics and the front tracking method. We prove quadratic resp. linear convergence and illustrate this with numerical examples.",

keywords = "Subject Classifications: AMS (MOS): 65N99, 35R35, CR: G1.8",

author = "M. Brokate",

year = "1985",

month = mar,

doi = "10.1007/BF01400257",

language = "English",

volume = "46",

pages = "85--99",

journal = "Numerische Mathematik",

issn = "0029-599X",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Numerical solution of a hyperbolic free boundary problem with a method of characteristics

AU - Brokate, M.

PY - 1985/3

Y1 - 1985/3

N2 - For a free boundary problem for a linear hyperbolic system in one space dimension with two unknowns we discuss a numerical algorithm which combines the method of characteristics and the front tracking method. We prove quadratic resp. linear convergence and illustrate this with numerical examples.

AB - For a free boundary problem for a linear hyperbolic system in one space dimension with two unknowns we discuss a numerical algorithm which combines the method of characteristics and the front tracking method. We prove quadratic resp. linear convergence and illustrate this with numerical examples.

KW - Subject Classifications: AMS (MOS): 65N99, 35R35, CR: G1.8

UR - http://www.scopus.com/inward/record.url?scp=34250110130&partnerID=8YFLogxK

U2 - 10.1007/BF01400257

DO - 10.1007/BF01400257

M3 - Article

AN - SCOPUS:34250110130

SN - 0029-599X

VL - 46

SP - 85

EP - 99

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 1

ER -

Numerical solution of a hyperbolic free boundary problem with a method of characteristics

Abstract

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Dieses zitieren