On the stability definition of difference approximations for the initial boundary value problem

Heinz O. Kreiss; Lixin Wu

doi:10.1016/0168-9274(93)90119-C

On the stability definition of difference approximations for the initial boundary value problem

Heinz O. Kreiss^*, Lixin Wu

^*Corresponding author for this work

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

61 Citations (Scopus)

Abstract

A new stability definition for difference approximations is discussed and conditions are given that the stability of the totally discretized method follows from the stability of the semidiscrete method.

Original language	English
Pages (from-to)	213-227
Number of pages	15
Journal	Applied Numerical Mathematics
Volume	12
Issue number	1-3
DOIs	https://doi.org/10.1016/0168-9274(93)90119-C
Publication status	Published - May 1993
Externally published	Yes

Keywords

Partial differential equations
method of lines
time-dependent, difference approximations

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10.1016/0168-9274(93)90119-C

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title = "On the stability definition of difference approximations for the initial boundary value problem",

abstract = "A new stability definition for difference approximations is discussed and conditions are given that the stability of the totally discretized method follows from the stability of the semidiscrete method.",

keywords = "Partial differential equations, method of lines, time-dependent, difference approximations",

author = "Kreiss, \{Heinz O.\} and Lixin Wu",

year = "1993",

month = may,

doi = "10.1016/0168-9274(93)90119-C",

language = "English",

volume = "12",

pages = "213--227",

journal = "Applied Numerical Mathematics",

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T1 - On the stability definition of difference approximations for the initial boundary value problem

AU - Kreiss, Heinz O.

AU - Wu, Lixin

PY - 1993/5

Y1 - 1993/5

N2 - A new stability definition for difference approximations is discussed and conditions are given that the stability of the totally discretized method follows from the stability of the semidiscrete method.

AB - A new stability definition for difference approximations is discussed and conditions are given that the stability of the totally discretized method follows from the stability of the semidiscrete method.

KW - Partial differential equations

KW - method of lines

KW - time-dependent, difference approximations

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:A1993LH78800012

UR - https://openalex.org/W2094038742

UR - https://www.scopus.com/pages/publications/0001619048

U2 - 10.1016/0168-9274(93)90119-C

DO - 10.1016/0168-9274(93)90119-C

M3 - Journal Article

SN - 0168-9274

VL - 12

SP - 213

EP - 227

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 1-3

ER -

On the stability definition of difference approximations for the initial boundary value problem

Abstract

Keywords

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