Approximation and Computation: In Honor of Gradimir V. Milovanović

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Walter Gautschi, Giuseppe Mastroianni, Themistocles Rassias
Springer Science & Business Media, Oct 20, 2010 - Mathematics - 482 pages
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Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences.

This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications.

Special features of this volume:

- Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations.

- Provides a historical overview of approximation theory and many of its subdisciplines;

- Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences.

"Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences.

 

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Contents

Part II Polynomials and Orthogonal Systems
50
Part III Quadrature Formulae
183
Part IV Differential Equations
283
Part V Applications
391
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About the author (2010)

Walter Gautschi spent postdoctoral years at the National Institute of Applied Calculus in Rome as well as at the Harvard Computation Laboratory, after which he worked for three years at the National Bureau of Standards in Washington, DC and for four years at the Oak Ridge National Laboratory. From 1963 to 2000 he was Professor of Mathematics and Computer Science at Purdue University, Indiana and Professor Emeritus thereafter. In 2001 he was elected Corresponding Member of the Bavarian Academy of Sciences and Foreign Member of the Turin Academy of Sciences. He was named a SIAM Fellow in 2012. Professor Gautschi has held editorial positions on several journals devoted to numerical analysis.