Regularity properties of Runge-Kutta methods for ordinary differential equations

Zdzislaw Jackiewicz; R. Vermiglio; M. Zennaro

doi:10.1016/s0168-9274(96)00036-0

Regularity properties of Runge-Kutta methods for ordinary differential equations

Zdzislaw Jackiewicz, R. Vermiglio, M. Zennaro

Mathematical and Statistical Sciences, School of (SoMSS)

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

6 Scopus citations

Abstract

We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.

Original language	English (US)
Pages (from-to)	251-262
Number of pages	12
Journal	Applied Numerical Mathematics
Volume	22
Issue number	1-3 SPEC. ISS.
DOIs	https://doi.org/10.1016/s0168-9274(96)00036-0
State	Published - Nov 1996

Keywords

Asymptotic values
Ordinary differential equation
Runge-Kutta method

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/s0168-9274(96)00036-0

Cite this

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title = "Regularity properties of Runge-Kutta methods for ordinary differential equations",

abstract = "We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.",

keywords = "Asymptotic values, Ordinary differential equation, Runge-Kutta method",

author = "Zdzislaw Jackiewicz and R. Vermiglio and M. Zennaro",

note = "Funding Information: * Corresponding author. E-mail: jackiewi@zjsun.la.asu.edu. t The work of this author was partially supported by the National Science Foundation under grant NSF DMS-9208048 and by the Italian Government. 2 The work of this author was supported by the Italian M.U.R.S.T., funds 40%. 3 The work of this author was supported by the Italian M.U.R.S.T., funds 40%.",

year = "1996",

month = nov,

doi = "10.1016/s0168-9274(96)00036-0",

language = "English (US)",

volume = "22",

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journal = "Applied Numerical Mathematics",

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TY - JOUR

T1 - Regularity properties of Runge-Kutta methods for ordinary differential equations

AU - Jackiewicz, Zdzislaw

AU - Vermiglio, R.

AU - Zennaro, M.

N1 - Funding Information: * Corresponding author. E-mail: jackiewi@zjsun.la.asu.edu. t The work of this author was partially supported by the National Science Foundation under grant NSF DMS-9208048 and by the Italian Government. 2 The work of this author was supported by the Italian M.U.R.S.T., funds 40%. 3 The work of this author was supported by the Italian M.U.R.S.T., funds 40%.

PY - 1996/11

Y1 - 1996/11

N2 - We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.

AB - We investigate the conditions which guarantee that Runge-Kutta methods preserve asymptotic values of the systems of ordinary differential equations. A complete characterization of such methods is given and examples of methods with these properties are presented for s = p = 2. 3 and 4, where s is the number of stages and p is the order of the method.

KW - Asymptotic values

KW - Ordinary differential equation

KW - Runge-Kutta method

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DO - 10.1016/s0168-9274(96)00036-0

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AN - SCOPUS:0030291053

SN - 0168-9274

VL - 22

SP - 251

EP - 262

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 1-3 SPEC. ISS.

ER -

Regularity properties of Runge-Kutta methods for ordinary differential equations

Abstract

Keywords

ASJC Scopus subject areas

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