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This volume is intended to mark the 75th birthday of A R Mitchell, of the University of Dundee. It consists of a collection of articles written by numerical analysts having links with Ron Mitchell, as colleagues, collaborators, former students, or as visitors to Dundee. Ron Mitchell is known for his books and articles contributing to the numerical analysis of partial differential equations; he has also made major contributions to the development of numerical analysis in the UK and abroad, and his many human qualitites are such that he is held in high regard and looked on with great affection by the numerical analysis community. The list of contributors is evidence of the esteem in which he is held, and of the way in which his influence has spread through his former students and fellow workers. In addition to contributions relevant to his own specialist subjects, there are also papers on a wide range of subjects in numerical analysis.
Numerical Analysis: A R Mitchell 75th Birthday Volume
Some biographical and mathematical notes, D. F. Griffiths et al; the finite element method and computer aided geometric design, R. E. Barnhill; fixed points and spurious modes of a nonlinear infinite-step map, M. Aves et al; Runge-Kutta methods as mathematical objects, J. C. Butcher; Runge-Kutta methods on manifolds, M. Calvo et al; numerical solutions of one and two dimensional hyperbolic systems modelling a fluidized bed, I. Christie et al; numerical experiments for a nonoverlapping domain decomposition method for partial differential equations, J. Douglas and D-Q Yang; a piecewise uniform adaptive grid algorithm for nonlinear dispersive wave equations, E. S. Fraga and J. L. Morris; diagonal dominance and positive definiteness of upwind approximations for advection diffusion problems, G. H. Golum et al; chaos in numerics, B. M. Herbst et al; exact difference formulas for linear differential operators, D. P. Laurie and A. Craig (part contents).