Numerical Mathematics & Scientific Computation Series

Modelling and Computation for Applications in Mathematics, Science and Engineering

by Joseph W. Jerome

Published 1 August 1998

This text deals with computational chemistry, particularly long-range molecular forces; with biological and chemical contamination, including hierarchical ideas from computer science in a problem-solving environment; with discrete mathematics, including connections to the buckyball structure of carbon 60; with dimension-reduction techniques in incompressible fluid mechanics; with aspects of charge transport, bridging compressible fluids (gas dynamics) and semiconductors; with the approximation problem in control theory; with questions related to weighted approximation by polynomials in the complex plane; and with high friction limits of hydrodynamic models. The strength of the volume is its development of topical applications, studied with advanced numerical and algorithmic techniques, within the umbrella of rigorous mathematics. Thus, all the articles except the first employ the studies of experienced applied and computational mathematicians, whose work meets the criteria of pure mathematics, while not being unduly constrained by the latter.