Modelling and computation for applications in mathematics, science, and engineering
著者
書誌事項
Modelling and computation for applications in mathematics, science, and engineering
（Numerical mathematics and scientific computation）
Clarendon Press , Oxford University Press, 1998
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
1: Mathematics, computational chemistry and battery building: some notions. 2: Transport of multispecies contaminants with biological and chemical kinetics in porous media. 3: Equidistribution and extremal energy of N points on the sphere. 4: Some reduced-dimension models based on numerical methods. 5: Viscous approximation to transonic gas dynamics: flow past profiles and charged-particle systems. 6: Two carrier semiconductor device models with geometric structure and symmetry properties. 7: Approximation issues for applications in optimal control and parameter estimation. 8: Zero distribution, the Szego curve, and weighted polynomial approximation in the complex plane. 9: Existence and the singular relaxation limit for the inviscid hydrodynamic energy model
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