This book draws together information previously available only in hard-to-find journals to introduce the most recent research in six key areas of numerical analysis: guaranteed error bounds for ordinary differential equations; computational methods for differential equations; numerical solution of differential-algebraic equations; boundary element methods; perturbation theory for infinite dimensional dynamical systems; and delay differential equations. Excellent up-to-date bibliographies are included, but the essential material is expertly presented to avoid lengthy searches. The research assumes a relatively low level of prerequisite knowledge, making it an important tool for graduate students and researchers in computational mathematics and in applications areas in physics and engineering.

Advances in Numerical Analysis (Advances in Numerical Analysis, 4)

Science & Math

Ainsworth, M

Levesley, J.

Light, W. A.

Marletta, M.

Mathematics

Oxford University Press

The purpose of this book, written by world-renowned authorities in this field, is to guide the reader in learning about new developments in approximation theory that have come up over the last 20 years. The emphasis is on multivariate approximation theory. Most of the topics appear for the first time here in a systematic textbook and many are still current areas of research. The authors cover positive definite functions, radial basis interpolation, thin-plate splines, neural networks, ridge functions, box splines, approximation on spheres, and wavelets. Every chapter includes practical problems from current research in areas of science, engineering, geophysics, business, and economics.

A Course in Approximation Theory (The Brooks/Cole Series in Advanced Mathematics)

Cheney, E. Ward

Amer Mathematical Society

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