Tom-NM - D R A F T A Mathematics B Programming 1 Notation...

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Unformatted text preview: D R A F T A. Mathematics B. Programming 1. Notation and definitions 2. Direct solution of A x = b 3. Iterative solution of A x = b and f ( x ) = 4. Linear algebra: characterizing A 5.Spectralmethods 6.Statisticalmodels 7. Data 8.Differentiation 9.Integration 10. ODEs 11. PDEs 12.High-performance computing 13. Case study: turbulence simulation 14.Linearprogramming 15. Derivative-free minimization 16.Derivative-based minimization 17. Linear systems 18.Classical controldesign 19. State-space control design (open loop & feedback) 20. State estimation Diablo MPDopt EnVE Checkers Figure 1: Organization of subjects presented in this book. D R A F T Numerical Renaissance: Simulation, Optimization, and Control , by Thomas R. Bewley, published by Renaissance Press. First edition (hardbound, English language, Matlab syntax), 2009. ISBN # 978-0-9818359-0-7. Library of Congress Control Number: 2008938554 Published by: Renaissance Press, 3368 Governor Drive F #244, San Diego CA 92122 USA Online at: This book is licensed by Thomas R. Bewley under the Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 Unported License. To view this license visit online, or contact Creative Commons, 171 Second St, Suite 300, San Francisco, CA 94105, USA. All numerical codes included in the Numerical Renaissance Codebase, including all codes listed in this book as well as the four free software projects described herein (Diablo, Checkers, MPDopt, and EnVE), are copyright (C) 2009 by Thomas R. Bew-ley, and are available online at . The Nume-rical Renaissance Codebase is free software: you can redistribute it and/or modify any and all codes included therein under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. The Numerical Renaissance Codebase is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PAR-TICULAR PURPOSE. See the GNU General Public License for more details. To view this license, visit online. Front cover : The full butterfly graph of the forward and inverse FFT (for N = 8), a cornerstone of many modern numerical simulation codes (see Figure 5.3 ). Cover page : Organization of subjects presented in this book. The primary dependencies of each subject are those which support it in this stack, thereby helping the reader to navigate a successful path towards conquering any given subject without reading the entire book. Note that chapters 13, 16, 19, and 20 explain fully the advanced free software packages Diablo, Checkers, MPDopt, and EnVE....
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This note was uploaded on 09/22/2010 for the course MAE MAE290B taught by Professor Mae290b during the Spring '10 term at UCSD.

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Tom-NM - D R A F T A Mathematics B Programming 1 Notation...

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