On the Stability of Volterra-Runge-Kutta Methods

Hairer, Ernst; Lubich, Christian

doi:10.1137/0721008

Scientific article

English

On the Stability of Volterra-Runge-Kutta Methods

Contributors

Hairer, Ernst; Lubich, Christian

Published in

SIAM journal on numerical analysis, vol. 21, no. 1, p. 123-135

Publication date

1984

Abstract

We investigate the stability of extended Runge-Kutta methods for Volterra integral equations of the second kind. As test equations we choose linear convolution equations with positive definite L^1-kernel. Our results are strongly connected with the contractivity of Runge-Kutta methods for nonlinear dissipative differential equations.

UNIGE affiliation entities

Not a UNIGE publication

Citation (ISO format)

HAIRER, Ernst, LUBICH, Christian. On the Stability of Volterra-Runge-Kutta Methods. In: SIAM journal on numerical analysis, 1984, vol. 21, n° 1, p. 123–135. doi: 10.1137/0721008

Article (Published version)

Identifiers

PID : unige:12461
DOI : 10.1137/0721008

Additional URL for this publication

http://www.jstor.org/stable/2157050

Journal ISSN

0036-1429

630views

2downloads

Creation

15/11/2010 10:27:00

First validation

15/11/2010 10:27:00

Update

27/01/2026 11:20:03

Status update

27/01/2026 11:20:03

Last indexation

27/01/2026 11:20:26

On the Stability of Volterra-Runge-Kutta Methods

Contributors

Published in

Publication date

Abstract

UNIGE affiliation entities

Citation (ISO format)

Main files (1)

Identifiers

Additional URL for this publication

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation