Numerical Analysis

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.

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Author: Richard L. Burden

Publisher: Cengage Learning

ISBN: 9780538735643

Category: Numerical analysis

Page: 872

View: 891

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

Singularities ; analysis of stability , convergence , compatibility . Part III . Further
Comments on University Work L . Fox AND J . WALSH 11 . Numerical Analysis
and Pure Mathematics The last section has dealt with the general field of
university ...

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Author: Joan E. Walsh

Publisher:

ISBN: UCAL:B4406767

Category: Numerical analysis

Page: 212

View: 870

Problems for the Numerical Analysis of the Future

Some Unsolved Problems in Numerical Analysis 1 Douglas R . Hartree 2
Introduction This also is an elementary form that is included the first or second
chapter of any book on differi Numerical analysis is the science and art of tial
equations .

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Author: U.S. National Bureau of standards. Institute for Numerical Analysis

Publisher:

ISBN: UOM:39015023921961

Category: Numerical calculations

Page: 21

View: 212

Numerical Analysis of Pierce type Electron Guns

Report 6384 , Sozotron Report 1 - NUMERICAL ANALYSIS OF PIERCE - TYPE
ELECTRON GUNS by R.T. Close . 18 pp . and figs . , April 4 , 1966 . 1. Electron
guns – Mathematical analysis U.S. Naval Research Laboratory . Report 6384 ...

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Author: Richard T. CLOSE

Publisher:

ISBN: MINN:31951D037444288

Category:

Page: 18

View: 104

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).

Proceedings of the First International Colloquium on Numerical Analysis

This proceedings volume contains selected invited talks which deal with the following topics: -- numerical methods of algebra -- analysis -- ordinary and partial differential equations

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Author: Drumi D. Bainov

Publisher: VSP

ISBN: 9067641529

Category: Mathematics

Page: 152

View: 631

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

Numerical Analysis

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, ...

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Author: Walter Gautschi

Publisher: Springer Science & Business Media

ISBN: 9780817682590

Category: Mathematics

Page: 588

View: 342

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.

Numerical Analysis

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

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Author: Tim Sauer

Publisher: Pearson College Division

ISBN: UOM:39015070694172

Category: Computers

Page: 669

View: 613

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

An Introduction to Numerical Analysis

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

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Author: Endre Süli

Publisher: Cambridge University Press

ISBN: 0521007941

Category: Mathematics

Page: 433

View: 478

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

Numerical Methods

Practical 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.

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Author: Germund Dahlquist

Publisher: Courier Corporation

ISBN: 0486428079

Category: Mathematics

Page: 573

View: 978

Practical 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.

Hamilton Jacobi Equations Approximations Numerical Analysis and Applications

The forward-backward structure is an important feature of this system, which
makes it necessary to design new strategies for mathematical analysis and
numerical approximation. In this survey, several aspects of a finite difference
method used ...

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Author: Yves Achdou

Publisher: Springer

ISBN: 9783642364334

Category: Mathematics

Page: 301

View: 839

These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity solutions, asymptotic behaviors, mean field games, approximation and numerical methods, idempotent analysis. The content of the courses ranged from an introduction to viscosity solutions to quite advanced topics, at the cutting edge of research in the field. We believe that they opened perspectives on new and delicate issues. These lecture notes contain four contributions by Yves Achdou (Finite Difference Methods for Mean Field Games), Guy Barles (An Introduction to the Theory of Viscosity Solutions for First-order Hamilton-Jacobi Equations and Applications), Hitoshi Ishii (A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations) and Grigory Litvinov (Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations).

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

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.

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Author: Marc Wolff

Publisher:

ISBN: OCLC:819143371

Category:

Page: 230

View: 982

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 Theoretical Introduction to Numerical Analysis

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.

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Author: Victor S. Ryaben'kii

Publisher: CRC Press

ISBN: 1584886072

Category: Mathematics

Page: 552

View: 885

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 Numerical Analysis

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.

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Author: Anthony Ralston

Publisher: Courier Corporation

ISBN: 048641454X

Category: Mathematics

Page: 606

View: 179

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.

Numerical Analysis

The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis -- indispensable for any deeper study and understanding of numerical methods, in particular, for differential ...

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Author: Raimer Kress

Publisher: Springer Science & Business Media

ISBN: 0387984089

Category: Mathematics

Page: 326

View: 277

An introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover everything, the goal is to guide readers towards the basic ideas and general principles by way of the main and important numerical methods. The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis -- indispensable for any deeper study and understanding of numerical methods, in particular, for differential equations and integral equations. The text is presented in a concise and easily understandable fashion so as to be successfully mastered in a one-year course.

Foundations of the Numerical Analysis of Plasticity

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

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Author: T. Miyoshi

Publisher: Elsevier

ISBN: 0080872182

Category: Mathematics

Page: 248

View: 883

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