The Mathematical Institute, University of Oxford, Eprints Archive

Stability and convergence of discretisations of initial value p.d.e.'s

Giles, M. B. (1996) Stability and convergence of discretisations of initial value p.d.e.'s. Technical Report. Unspecified. (Submitted)

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Abstract

This paper examines the stability and convergence of discretisations of initial value p.d.e.'s using spatial discretisation followed by time integration with an explicit one-step method. A Cauchy integral representation is used to bound the growth in the discrete solution. New results are obtained regarding sufficient conditions for both algebraic and strong stability. Sufficient conditions are also derived for convergence on a finite time interval.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1326
Deposited By:Lotti Ekert
Deposited On:12 Jun 2011 09:54
Last Modified:12 Jun 2011 09:54

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