Stability and Convergence of Discretisations of Initial Value P.D.E.'s
نویسنده
چکیده
This paper examines the stability and convergence of discretisa-tions 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 suucient conditions for both algebraic and strong stability. Suucient conditions are also derived for convergence on a nite time interval.
منابع مشابه
On the stability and convergence of discretisations of initial value p.d.e.'s
This paper examines the stability and convergence of discretisa-tions 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 suucient conditions for both algebraic and strong stability. Suucient conditions are al...
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تاریخ انتشار 1996