Numerical Analysis e-Book Download

Numerical Analysis

• Author : Richard L. Burden
• Publisher : Cengage Learning
• Release Date : 2011
• Genre : Numerical analysis
• Pages : 872
• ISBN : 9780538735643

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This well-respected text gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing. A more applied text with a different menu of topics is the authors' highly regarded NUMERICAL METHODS, Third Edition.

Numerical Analysis

• Author : Tim Sauer
• Publisher : Pearson College Division
• Release Date : 2006
• Genre : Computers
• Pages : 669
• ISBN : UOM:39015070694172

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Accompanying CD-ROM contains ... "MATLAB Projects; ReadMe."--CD-ROM label.

Numerical Analysis of Pierce type Electron Guns

• Author : Richard T. CLOSE
• Publisher : Unknown
• Release Date : 1966
• Genre : Uncategorized
• Pages : 18
• ISBN : MINN:31951D037444288

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Digital-computer programs have been used to analyze four Pierce-type electron guns. The numerical analysis has been very successful in identifying the deficiencies of the Pierce-design method when extrapolated to high perveances. It also has been possible to obtain radial phase-space diagrams for the beams from each of the electron guns studied. From these diagrams and by the use of several other computer programs, an estimate of the transverse energy distribution of the electron beams has been made. It has been found that the major contribution to the random transverse energy must be of nonthermal origin. (Author).

Numerical Analysis

• Author : Walter Gautschi
• Publisher : Springer Science & Business Media
• Release Date : 2011-12-07
• Genre : Mathematics
• Pages : 588
• ISBN : 9780817682590

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Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.

Proceedings of the First International Colloquium on Numerical Analysis

• Author : Drumi D. Bainov
• Publisher : VSP
• Release Date : 1993
• Genre : Mathematics
• Pages : 152
• ISBN : 9067641529

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The First International Colloquium on Numerical Analysis was organized by UNESCO and the Plovdiv Technical University, with the help of many international mathematical organizations, and was held in Plovdiv, Bulgaria, 13--17 August 1992. This proceedings volume contains selected invited talks which deal with the following topics: -- numerical methods of algebra -- analysis -- ordinary and partial differential equations

An Introduction to Numerical Analysis

• Author : Endre Süli
• Publisher : Cambridge University Press
• Release Date : 2003-08-28
• Genre : Mathematics
• Pages : 433
• ISBN : 0521007941

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Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.

Numerical Methods

• Author : Germund Dahlquist
• Publisher : Courier Corporation
• Release Date : 2012-04-26
• Genre : Mathematics
• Pages : 592
• ISBN : 9780486139463

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DIVPractical text strikes balance between students' requirements for theoretical treatment and the needs of practitioners, with best methods for both large- and small-scale computing. Many worked examples and problems. 1974 edition. /div

Mathematical and Numerical Analysis of the Resistive Magnetohydrodynamics System with Self generated Magnetic Field Terms

• Author : Marc Wolff
• Publisher : Unknown
• Release Date : 2011
• Genre : Uncategorized
• Pages : 230
• ISBN : OCLC:819143371

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This work is devoted to the construction of numerical methods that allow the accurate simulation of inertial confinement fusion (ICF) implosion processes by taking self-generated magnetic field terms into account. In the sequel, we first derive a two-temperature resistive magnetohydrodynamics model and describe the considered closure relations. The resulting system of equations is then split in several subsystems according to the nature of the underlying mathematical operator. Adequate numerical methods are then proposed for each of these subsystems. Particular attention is paid to the development of finite volume schemes for the hyperbolic operator which actually is the hydrodynamics or ideal magnetohydrodynamics system depending on whether magnetic fields are considered or not. More precisely, a new class of high-order accurate dimensionally split schemes for structured meshes is proposed using the Lagrange-remap formalism. One of these schemes' most innovative features is that they have been designed in order to take advantage of modern massively parallel computer architectures. This property can for example be illustrated by the dimensionally split approach or the use of artificial viscosity techniques and is practically highlighted by sequential performance and parallel efficiency figures. Hyperbolic schemes are then combined with finite volume methods for dealing with the thermal and resistive conduction operators and taking magnetic field generation into account. In order to study the characteristics and effects of self-generated magnetic field terms, simulation results are finally proposed with the complete two-temperature resistive magnetohydrodynamics model on a test problem that represents the state of an ICF capsule at the beginning of the deceleration phase.

A First Course in Numerical Analysis

• Author : Anthony Ralston
• Publisher : Courier Corporation
• Release Date : 2001-01-01
• Genre : Mathematics
• Pages : 606
• ISBN : 048641454X

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Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

A Theoretical Introduction to Numerical Analysis

• Author : Victor S. Ryaben'kii
• Publisher : CRC Press
• Release Date : 2006-11-02
• Genre : Mathematics
• Pages : 552
• ISBN : 1584886072

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A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.

A First Course in the Numerical Analysis of Differential Equations

• Author : Arieh Iserles
• Publisher : Cambridge University Press
• Release Date : 1996-01-18
• Genre : Mathematics
• Pages : 378
• ISBN : 0521556554

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Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance between theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics. Dr Iserles concentrates on fundamentals: deriving methods from first principles, analysing them with a variety of mathematical techniques and occasionally discussing questions of implementation and applications. By doing so, he is able to lead the reader to theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations.

Numerical Analysis

• Author : Michelle Schatzman
• Publisher : Oxford University Press
• Release Date : 2002
• Genre : Mathematics
• Pages : 496
• ISBN : 0198508522

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This book provides professionals and students with a thorough understanding of the interface between mathematics and scientific computation. Ranging from classical questions to modern techniques, it explains why numerical computations succeed or fail. The book is divided into four sections, with an emphasis on the use of mathematics as a tool in determining the success rate of numerical methods. The text requires only a modest level of mathematical training, and is ideally suited for scientists and students in mathematics, physics and engineering.

Foundations of the Numerical Analysis of Plasticity

• Author : T. Miyoshi
• Publisher : Elsevier
• Release Date : 2011-08-18
• Genre : Mathematics
• Pages : 248
• ISBN : 0080872182

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This monograph describes a theoretical foundation for analysing and developing approximate methods to solve dynamic and quasi-static plasticity problems.