Validation Numerics

by R. Albrecht
Validation Numerics
Author: R. Albrecht
Publisher: Springer Science & Business Media
Total Pages: 288
Release: 2012-12-06
Genre: Mathematics
ISBN: 3709169186
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The articles in this book give a comprehensive overview on the whole field of validated numerics. The problems covered include simultaneous systems of linear and nonlinear equations, differential and integral equations and certain applications from technical sciences. Furthermore some papers which improve the tools are included. The book is a must for scientists working in numerical analysis, computer science and in technical fields.

Computer Arithmetic and Self-Validating Numerical Methods

by Christian Ullrich
Computer Arithmetic and Self-Validating Numerical Methods
Author: Christian Ullrich
Publisher: Academic Press
Total Pages: 316
Release: 2014-05-10
Genre: Computers
ISBN: 1483267814
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Notes and Reports in Mathematics in Science and Engineering, Volume VII: Computer Arithmetic and Self-Validating Numerical Methods compiles papers presented at the first international conference on "Computer Arithmetic and Self-Validating Numerical Methods, held in Basel from October 2 to 6, 1989. This book begins by providing a tutorial introduction to computer arithmetic with operations of maximum accuracy, differentiation arithmetic and enclosure methods, and programming languages for self-validating numerical methods. The rest of the chapters discuss the determination of guaranteed bounds for eigenvalues by variational methods and guaranteed inclusion of solutions of differential equations. An appendix covering the IMACS-GAMM resolution on computer arithmetic is provided at the end of this publication. This volume is recommended for researchers and professionals working on computer arithmetic and self-validating numerical methods.

Scientific Computing, Computer Arithmetic, and Validated Numerics

by Marco Nehmeier
Scientific Computing, Computer Arithmetic, and Validated Numerics
Author: Marco Nehmeier
Publisher: Springer
Total Pages: 291
Release: 2016-04-08
Genre: Computers
ISBN: 3319317695
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This book constitutes the refereed post proceedings of the 16th International Symposium, SCAN 2014, held in Würzburg, Germany, in September 2014. The 22 full papers presented were carefully reviewed and selected from 60 submissions. The main concerns of research addressed by SCAN conferences are validation, verification or reliable assertions of numerical computations. Interval arithmetic and other treatments of uncertainty are developed as appropriate tools.

Numerical Validation in Current Hardware Architectures

by Annie A.M. Cuyt
Numerical Validation in Current Hardware Architectures
Author: Annie A.M. Cuyt
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 2009-04-24
Genre: Computers
ISBN: 3642015905
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The major emphasis of the Dagstuhl Seminar on “Numerical Validation in C- rent Hardware Architectures” lay on numerical validation in current hardware architecturesand softwareenvironments. The generalidea wasto bring together experts who are concerned with computer arithmetic in systems with actual processor architectures and scientists who develop, use, and need techniques from veri?ed computation in their applications. Topics of the seminar therefore included: – The ongoing revision of the IEEE 754/854 standard for ?oating-point ari- metic – Feasible ways to implement multiple precision (multiword) arithmetic and to compute the actual precision at run-time according to the needs of input data – The achievement of a similar behavior of ?xed-point, ?oating-point and - terval arithmetic across language compliant implementations – The design of robust and e?cient numerical programsportable from diverse computers to those that adhere to the IEEE standard – The development and propagation of validated special-purpose software in di?erent application areas – Error analysis in several contexts – Certi?cation of numerical programs, veri?cation and validation assessment Computer arithmetic plays an important role at the hardware and software level, when microprocessors, embedded systems, or grids are designed. The re- ability of numerical softwarestrongly depends on the compliance with the cor- sponding ?oating-point norms. Standard CISC processors follow the 1985 IEEE norm 754, which is currently under revision, but the new highly performing CELL processor is not fully IEEE compliant.

Self-Validating Numerics for Function Space Problems

by Edgar W. Kaucher
Self-Validating Numerics for Function Space Problems
Author: Edgar W. Kaucher
Publisher: Elsevier
Total Pages: 270
Release: 2014-06-20
Genre: Mathematics
ISBN: 1483273776
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Self-Validating Numerics for Function Space Problems describes the development of computational methods for solving function space problems, including differential, integral, and function equations. This seven-chapter text highlights three approaches, namely, the E-methods, ultra-arithmetic, and computer arithmetic. After a brief overview of the different self-validating approaches, this book goes on introducing the mathematical preliminaries consisting principally of fixed-point theorems and the computational context for the development of validating methods in function spaces. The subsequent chapters deals with the development and application of point of view of ultra-arithmetic and the constructs of function-space arithmetic spaces, such as spaces, bases, rounding, and approximate operations. These topics are followed by discussion of the iterative residual correction methods for function problems and the requirements of a programming language needed to make the tools and constructs of the methodology available in actual practice on a computer. The last chapter describes the techniques for adapting the methodologies to a computer, including the self-validating results for specific problems. This book will prove useful to mathematicians and advance mathematics students.

Beginning Regular Expressions

by Andrew Watt
Beginning Regular Expressions
Author: Andrew Watt
Publisher: John Wiley & Sons
Total Pages: 770
Release: 2005-02-04
Genre: Computers
ISBN: 0764574892
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Supported by all major databases, scripting languages, and programming languages, regular expressions are powerful "wild-card" text-processing tools used by programmers to find, validate, modify, or edit information Covering a wide range of languages and databases-including JavaScript, ASP.

FileMaker Pro 9: The Missing Manual

by Geoff Coffey
FileMaker Pro 9: The Missing Manual
Author: Geoff Coffey
Publisher: "O'Reilly Media, Inc."
Total Pages: 802
Release: 2007-08-02
Genre: Computers
ISBN: 0596554737
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FileMaker Pro 9: The Missing Manual is the clear, thorough and accessible guide to the latest version of this popular desktop database program. FileMaker Pro lets you do almost anything with the information you give it. You can print corporate reports, plan your retirement, or run a small country -- if you know what you're doing. This book helps non-technical folks like you get in, get your database built, and get the results you need. Pronto. The new edition gives novices and experienced users the scoop on versions 8.5 and 9. It offers complete coverage of timesaving new features such as the Quick Start screen that lets you open or a create a database in a snap, the handy "save to" buttons for making Excel documents or PDFs, the multiple level Undo and Redo commands let you step backwards through your typing tasks, and much more. With FileMaker Pro 9: The Missing Manual, you can: Get your first database running in minutes and perform basic tasks right away. Catalog people, processes and things with streamlined data entry and sorting tools. Learn to use layout tools to organize the appearance of your database. Use your data to generate reports, correspondence and other documents with ease. Create, connect, and manage multiple tables and set up complex relationships that show you just the data you need. Crunch numbers, search text, or pin down dates and times with dozens of built-in formulas. Automate repetitive tasks with FileMaker Pro 9's easy-to-learn scripting language. Protect your database with passwords and set up privileges to determine what others can do once they gain entry. Outfit your database for the Web and import and export data to other formats. Each chapter in the book contains "living examples" -- downloadable tutorials that help you learn how to build a database by actually doing it. You also get plenty of sound, objective advice that lets you know which features are really useful, and which ones you'll barely touch. To make the most of FileMaker Pro 9, you need the book that should have been in the box.

Special Edition Using Microsoft Office FrontPage 2003

by Jim Cheshire
Special Edition Using Microsoft Office FrontPage 2003
Author: Jim Cheshire
Publisher: Que Publishing
Total Pages: 1082
Release: 2004
Genre: Electronic books
ISBN: 0789729547
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Completely rewritten and redesigned for the new version of FrontPage, this edition contains detailed scenarios that guide readers through the process of creating sites that range from personal to corporate.

Advanced Arithmetic for the Digital Computer

by Ulrich W. Kulisch
Advanced Arithmetic for the Digital Computer
Author: Ulrich W. Kulisch
Publisher: Springer Science & Business Media
Total Pages: 151
Release: 2012-09-07
Genre: Computers
ISBN: 3709105250
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The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, advanced processors and pro gramming languages offer, for instance, compound arithmetic operations like matmul and dotproduct. But there is another side to the computational coin - the accuracy and reliability of the computed result. Progress on this side is very important, if not essential. Compound arithmetic operations, for instance, should always deliver a correct result. The user should not be obliged to perform an error analysis every time a compound arithmetic operation, implemented by the hardware manufacturer or in the programming language, is employed. This treatise deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic extends the accuracy of the elementary floating-point operations, for instance, as defined by the IEEE arithmetic standard, to all operations in the usual product spaces of computation: the complex numbers, the real and complex intervals, and the real and complex vectors and matrices and their interval counterparts. The implementation of advanced computer arithmetic by fast hardware is examined in this book. Arithmetic units for its elementary components are described. It is shown that the requirements for speed and for reliability do not conflict with each other. Advanced computer arithmetic is superior to other arithmetic with respect to accuracy, costs, and speed.