Stability analysis of time-point relaxation Runge-Kutta methods with respect to tridiagonal systems of differential equations

Zdzislaw Jackiewicz

doi:10.1016/0168-9274(93)90048-V

Stability analysis of time-point relaxation Runge-Kutta methods with respect to tridiagonal systems of differential equations

Zdzislaw Jackiewicz

Mathematical and Statistical Sciences, School of (SoMSS)

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

3 Scopus citations

Abstract

We investigate stability properties of time-point relaxation Runge-Kutta methods with respect to the tridiagonal systems of ordinary differential equations with two real parameters. Stability regions for these methods are compared with the corresponding regions of the underlying Runge-Kutta methods.

Original language	English (US)
Pages (from-to)	189-209
Number of pages	21
Journal	Applied Numerical Mathematics
Volume	11
Issue number	1-3
DOIs	https://doi.org/10.1016/0168-9274(93)90048-V
State	Published - Jan 1993

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/0168-9274(93)90048-V

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title = "Stability analysis of time-point relaxation Runge-Kutta methods with respect to tridiagonal systems of differential equations",

abstract = "We investigate stability properties of time-point relaxation Runge-Kutta methods with respect to the tridiagonal systems of ordinary differential equations with two real parameters. Stability regions for these methods are compared with the corresponding regions of the underlying Runge-Kutta methods.",

author = "Zdzislaw Jackiewicz",

year = "1993",

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doi = "10.1016/0168-9274(93)90048-V",

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AB - We investigate stability properties of time-point relaxation Runge-Kutta methods with respect to the tridiagonal systems of ordinary differential equations with two real parameters. Stability regions for these methods are compared with the corresponding regions of the underlying Runge-Kutta methods.

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U2 - 10.1016/0168-9274(93)90048-V

DO - 10.1016/0168-9274(93)90048-V

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JO - Applied Numerical Mathematics

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Stability analysis of time-point relaxation Runge-Kutta methods with respect to tridiagonal systems of differential equations

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