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The Art of Differentiating Computer Programs: An Introduction to Algorithmic Differentiation

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 Product Description

by Uwe Naumann


2012 / xviii + 340 pages / Softcover / ISBN 978-1-611972-06-1 / List Price $99.00 / SIAM Member Price $69.30 / Order Code SE24

Keywords: algorithmic differentiation, adjoints, sensitivity analysis, nonlinear programming, derivative code compiler

User Guide

This is the first entry-level book on algorithmic (also known as automatic) differentiation (AD), providing fundamental rules for the generation of first- and higher-order tangent-linear and adjoint code. The author covers the mathematical underpinnings as well as how to apply these observations to real-world numerical simulation programs.

Readers will find

  • many examples and exercises, including hints to solutions;
  • the prototype AD tools dco and dcc for use with the examples and exercises;
  • first- and higher-order tangent-linear and adjoint modes for a limited subset of C/C++, provided by the derivative code compiler dcc.
  • a supplementary website containing sources of all software discussed in the book, additional exercises and comments on their solutions (growing over the coming years), links to other sites on AD, and errata.

This book is intended for undergraduate and graduate students in computational science, engineering, and finance as well as applied mathematics and computer science. It will provide researchers and developers at all levels with an intuitive introduction to AD.

About the Author
Uwe Naumann is Associate Professor for Computer Science at RWTH Aachen University. He has co-chaired international conferences on AD held in Nice (2000), Chicago (2004), and Bonn (2008) and co-edited the proceedings for those conferences. His professional interests are primarily motivated by AD. They range from compilers for the semantic transformation of numerical programs via corresponding (domain-specific) program analyses and combinatorial algorithms to high-performance scientific computing and the application of adjoint methods in computational science, engineering, and finance. He has co-authored more than 80 publications and is a member of SIAM and of the Numerical Algorithms Group, Ltd.

ISBN: 9781611972061

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