The Art of Differentiating Computer Programs

The Art of Differentiating Computer Programs
Author: Uwe Naumann
Publisher: SIAM
Total Pages: 358
Release: 2012-01-01
Genre: Mathematics
ISBN: 9781611972078

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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: 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.

Automatic Differentiation in MATLAB Using ADMAT with Applications

Automatic Differentiation in MATLAB Using ADMAT with Applications
Author: Thomas F. Coleman
Publisher: SIAM
Total Pages: 114
Release: 2016-06-20
Genre: Science
ISBN: 1611974364

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The calculation of partial derivatives is a fundamental need in scientific computing. Automatic differentiation (AD) can be applied straightforwardly to obtain all necessary partial derivatives (usually first and, possibly, second derivatives) regardless of a code?s complexity. However, the space and time efficiency of AD can be dramatically improved?sometimes transforming a problem from intractable to highly feasible?if inherent problem structure is used to apply AD in a judicious manner. Automatic Differentiation in MATLAB using ADMAT with Applications?discusses the efficient use of AD to solve real problems, especially multidimensional zero-finding and optimization, in the MATLAB environment. This book is concerned with the determination of the first and second derivatives in the context of solving scientific computing problems with an emphasis on optimization and solutions to nonlinear systems. The authors focus on the application rather than the implementation of AD, solve real nonlinear problems with high performance by exploiting the problem structure in the application of AD, and provide many easy to understand applications, examples, and MATLAB templates.?

Algorithmic Differentiation of Pragma-Defined Parallel Regions

Algorithmic Differentiation of Pragma-Defined Parallel Regions
Author: Michael Förster
Publisher: Springer
Total Pages: 411
Release: 2014-10-09
Genre: Computers
ISBN: 365807597X

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Numerical programs often use parallel programming techniques such as OpenMP to compute the program's output values as efficient as possible. In addition, derivative values of these output values with respect to certain input values play a crucial role. To achieve code that computes not only the output values simultaneously but also the derivative values, this work introduces several source-to-source transformation rules. These rules are based on a technique called algorithmic differentiation. The main focus of this work lies on the important reverse mode of algorithmic differentiation. The inherent data-flow reversal of the reverse mode must be handled properly during the transformation. The first part of the work examines the transformations in a very general way since pragma-based parallel regions occur in many different kinds such as OpenMP, OpenACC, and Intel Phi. The second part describes the transformation rules of the most important OpenMP constructs.

Evaluating Derivatives

Evaluating Derivatives
Author: Andreas Griewank
Publisher: SIAM
Total Pages: 448
Release: 2008-11-06
Genre: Mathematics
ISBN: 0898716594

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This title is a comprehensive treatment of algorithmic, or automatic, differentiation. The second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity.

The Differentiated Instruction Book of Lists

The Differentiated Instruction Book of Lists
Author: Jenifer Fox
Publisher: John Wiley & Sons
Total Pages: 295
Release: 2011-08-30
Genre: Education
ISBN: 0470952393

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Hundreds of useful ideas for meeting the needs of each child The Differentiated Instruction Book of Lists is the definitive reference for DI for teachers in grades K-12. Ready for immediate use, it offers over 150 up-to-date lists for developing instructional materials, lesson planning, and assessment. Organized into 12 convenient sections, the book is full of practical examples, teaching ideas, and activities that can be used or adapted to meet students' diverse needs. Coverage includes curriculum design, lesson planning, instructional strategies, assessment, classroom management, strategies by subject area (from Language Arts to Math to Physical Education), new media, etc. Offers an easy-to-use guide that gives quick tips and methods to plan effectively for delivering truly differentiated lessons Filled with helpful DI lists, lesson plans, strategies, assessments, and more Jennifer Fox is the author of the bestselling book Your Child's Strengths The Differentiated Instruction Book of Lists is a hands-on guide for meeting the instructional needs of all students so that they can reach their full potential.

How to Design Programs, second edition

How to Design Programs, second edition
Author: Matthias Felleisen
Publisher: MIT Press
Total Pages: 793
Release: 2018-05-25
Genre: Computers
ISBN: 0262344122

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A completely revised edition, offering new design recipes for interactive programs and support for images as plain values, testing, event-driven programming, and even distributed programming. This introduction to programming places computer science at the core of a liberal arts education. Unlike other introductory books, it focuses on the program design process, presenting program design guidelines that show the reader how to analyze a problem statement, how to formulate concise goals, how to make up examples, how to develop an outline of the solution, how to finish the program, and how to test it. Because learning to design programs is about the study of principles and the acquisition of transferable skills, the text does not use an off-the-shelf industrial language but presents a tailor-made teaching language. For the same reason, it offers DrRacket, a programming environment for novices that supports playful, feedback-oriented learning. The environment grows with readers as they master the material in the book until it supports a full-fledged language for the whole spectrum of programming tasks. This second edition has been completely revised. While the book continues to teach a systematic approach to program design, the second edition introduces different design recipes for interactive programs with graphical interfaces and batch programs. It also enriches its design recipes for functions with numerous new hints. Finally, the teaching languages and their IDE now come with support for images as plain values, testing, event-driven programming, and even distributed programming.

Structure and Interpretation of Computer Programs

Structure and Interpretation of Computer Programs
Author: Harold Abelson
Publisher: MIT Press
Total Pages: 642
Release: 2022-05-03
Genre: Computers
ISBN: 0262367629

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A new version of the classic and widely used text adapted for the JavaScript programming language. Since the publication of its first edition in 1984 and its second edition in 1996, Structure and Interpretation of Computer Programs (SICP) has influenced computer science curricula around the world. Widely adopted as a textbook, the book has its origins in a popular entry-level computer science course taught by Harold Abelson and Gerald Jay Sussman at MIT. SICP introduces the reader to central ideas of computation by establishing a series of mental models for computation. Earlier editions used the programming language Scheme in their program examples. This new version of the second edition has been adapted for JavaScript. The first three chapters of SICP cover programming concepts that are common to all modern high-level programming languages. Chapters four and five, which used Scheme to formulate language processors for Scheme, required significant revision. Chapter four offers new material, in particular an introduction to the notion of program parsing. The evaluator and compiler in chapter five introduce a subtle stack discipline to support return statements (a prominent feature of statement-oriented languages) without sacrificing tail recursion. The JavaScript programs included in the book run in any implementation of the language that complies with the ECMAScript 2020 specification, using the JavaScript package sicp provided by the MIT Press website.

The Art of Computer Programming, Volume 1, Fascicle 1

The Art of Computer Programming, Volume 1, Fascicle 1
Author: Donald E. Knuth
Publisher: Addison-Wesley Professional
Total Pages: 141
Release: 2005-02-09
Genre: Computers
ISBN: 0321657314

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Check out the boxed set that brings together Volumes 1 - 4B in one elegant case. The Art of Computer Programming, Volumes 1-4B Boxed Set ISBN: 9780137935109 Art of Computer Programming, Volume 1, Fascicle 1, The: MMIX -- A RISC Computer for the New Millennium This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The three complete volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his "cookbook" solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books. To begin the fourth and later volumes of the set, and to update parts of the existing three, Knuth has created a series of small books called fascicles, which will be published t regular intervals. Each fascicle will encompass a section or more of wholly new or evised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete. Volume 1, Fascicle 1 This first fascicle updates The Art of Computer Programming, Volume 1, Third Edition: Fundamental Algorithms, and ultimately will become part of the fourth edition of that book. Specifically, it provides a programmer's introduction to the long-awaited MMIX, a RISC-based computer that replaces the original MIX, and describes the MMIX assembly language. The fascicle also presents new material on subroutines, coroutines, and interpretive routines. Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP),http://msp.org