Modelling and Computation for Applications in Mathematics, Science, and Engineering

This book discusses many of the connections between cutting edge applications and advanced numerical and algorithmic techniques. Topics include models for long-range molecular forces; biological and chemical contamination, including hierarchical problem-solving ideas from computer science; discrete mathematics, including connections to the buckyball structure of carbon 60; dimension-reduction techniques in incompressible fluid mechanics; aspects of charge transport, bridging compressible fluids (gas dynamics) and semiconductors; the approximation problem in control theory; questions related to weighted approximation by polynomials in the complex plane; and high friction limits of hydrodynamic models.