Citation Context

...lterrasoperator given bys(Kh /yhIm)i=hMk ( b’hl,)j~ 0 <i<N, (2.3)sJ=osfor some M, independent of h.sWhen m = 1 this is a particular case of the discrete fundamental form introduced by Dixonsand McKee =-=[l]-=-; see also Scott [8].sUsing the Banach Fixed Point Theorem it may be shown that for all h E J satisfying hM < 1sthe discrete fundamental form has a unique solution yh E Xh.sIn the following rh: X + Xh...

Citation Context

...differential equations, Volterra integral equations of the first and second kind, and Volterra integrodifferential equations. The notation and concepts employed will generalize those of Dixon & McKee =-=[3]-=-. 2. The exact order of convergence First we introduce the discrete space Xh and the class of discrete methods that will be considered. © Oxford University Press 1988sat B odleian Library on D ecem be...