Numerical Analysis and Its Applications

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Author: Zhilin Li

Publisher: Springer

ISBN: 9783540318521

Category: Computers

Page: 630

View: 378

This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Numerical Analysis and Its Applications, NAA 2004, held in Rousse, Bulgaria in June/July 2004. The 68 revised full papers presented together with 8 invited papers were carefully selected during two rounds of reviewing and improvement. All current aspects of numerical analysis are addressed. Among the application fields covered are computational sciences and engineering, chemistry, physics, economics, simulation, fluid dynamics, visualization, etc.

Theory and Applications of Numerical Analysis

The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods.

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Author: G. M. Phillips

Publisher: Elsevier

ISBN: 0080519121

Category: Mathematics

Page: 447

View: 104

Theory and Applications of Numerical Analysis is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis. The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included. a unique blend of theory and applications two brand new chapters on eigenvalues and splines inclusion of formal algorithms numerous fully worked examples a large number of problems, many with solutions

Numerical Analysis and Its Applications

This book constitutes the refereed proceedings of the First International Workshop on Numerical Analysis and Its Applications, WNAA'96, held in Rousse, Bulgaria, in June 1996.

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Author: Lubin Vulkov

Publisher: Springer Science & Business Media

ISBN: 3540625984

Category: Computers

Page: 608

View: 845

This book constitutes the refereed proceedings of the First International Workshop on Numerical Analysis and Its Applications, WNAA'96, held in Rousse, Bulgaria, in June 1996. The 57 revised full papers presented were carefully selected and reviewed for inclusion in the volume; also included are 14 invited presentations. All in all, the book offers a wealth of new results and methods of numerical analysis applicable in computational science, particularly in computational physics and chemistry. The volume reflects that the cooperation of computer scientists, mathematicians and scientists provides new numerical tools for computational scientists and, at the same time, stimulates numerical analysis.

Numerical Analysis and Its Applications

This volume of the Lecture Notes in Computer Science series comprises the
proceedings of the 4th International Conference on Numerical Analysis and
Applications, which was held at the hotel Sunset Beach, Lozenetz, Bulgaria, June
15–20, ...

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Author: Svetozar Margenov

Publisher: Springer Science & Business Media

ISBN: 9783642004636

Category: Computers

Page: 636

View: 424

This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.

The State of the Art in Numerical Analysis

This is greatly helped by the advent of excellent computer languages, like MATLAB, and state of the art Fortran software such as LAPACK, so that the fundamental buildingblocks for much of the armoury of a numerical analysis are now readily ...

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Author: Iain S. Duff

Publisher: Oxford University Press

ISBN: 9780198500148

Category: Mathematics

Page: 562

View: 766

Consisting of papers from the 1996 State of the Art in Numerical Analysis conference, this text is a comprehensive, up-to-date and wide ranging overview of this important subject. It will be most valuable to a general audience of numerical analysts and users of numerical methods.

Numerical Methods for Equations and its Applications

This book introduces advanced numerical-functional analysis to beginning computer science researchers.

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Author: Ioannis K. Argyros

Publisher: CRC Press

ISBN: 9781578087532

Category: Mathematics

Page: 474

View: 219

This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem.

Numerical Analysis of Ordinary Differential Equations and Its Applications

Preface Numerical solutions of ordinary differential equations ( ODEs ) are
broadly recognized that they are not only interesting in theoretical study but also
useful in practical applications . It is the reason why the numerical analysis of
ODEs has been attracting many research works in the scientific computation
community . One might be aware that this year is the centennial memorial one
since the ...

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Author: Taketomo Mitsui

Publisher: World Scientific

ISBN: 9810222297

Category: Mathematics

Page: 228

View: 387

The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.

Numerical Analysis with Applications in Mechanics and Engineering

Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret ...

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Author: Petre Teodorescu

Publisher: John Wiley & Sons

ISBN: 9781118614624

Category: Computers

Page: 646

View: 466

A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.

Recent Trends in Numerical Analysis

The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.

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Author: D. Trigiante

Publisher: Nova Publishers

ISBN: 156072885X

Category: Mathematics

Page: 347

View: 494

The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.

Numerical Analysis and Its Applications

with the Lipschitz constant L > 0, the problem (1)-(2) has unique solution.
However, for general form of function f the solution cannot be defined analytically,
it can be done only for a very few f. Therefore, we apply some numerical method.

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Author: Ivan Dimov

Publisher: Springer

ISBN: 9783642415159

Category: Computers

Page: 572

View: 697

This book constitutes thoroughly revised selected papers of the 5th International Conference on Numerical Analysis and Its Applications, NAA 2012, held in Lozenetz, Bulgaria, in June 2012. The 65 revised papers presented were carefully reviewed and selected from various submissions. The papers cover a broad area of topics of interest such as numerical approximation and computational geometry; numerical linear algebra and numerical solution of transcendental equation; numerical methods for differential equations; numerical stochastics, numerical modeling; and high performance scientific computing.

Group Theory and Numerical Analysis

This volume has the character of a monograph and should represent a useful reference book for scientists working in this highly topical field.

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Author: Workshop on Group Theory and Numerical Analysis

Publisher: American Mathematical Soc.

ISBN: 9780821835654

Category: Mathematics

Page: 298

View: 575

The Workshop on Group Theory and Numerical Analysis brought together scientists working in several different but related areas. The unifying theme was the application of group theory and geometrical methods to the solution of differential and difference equations. The emphasis was on the combination of analytical and numerical methods and also the use of symbolic computation. This meeting was organized under the auspices of the Centre de Recherches Mathematiques, Universite de Montreal (Canada). This volume has the character of a monograph and should represent a useful reference book for scientists working in this highly topical field.

Wavelet Analysis and Its Applications

Hence, wavelets appeal to scientists and engineers in any field that requires analyzing large amounts of data.This is an introductory, self-contained book on wavelet analysis and its applications, focusing on computer graphics and economics ...

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Author: Tian-Xiao He

Publisher: World Scientific Publishing Company Incorporated

ISBN: 9812834001

Category: Mathematics

Page: 250

View: 313

The subject of wavelet analysis has been around for less than 15 years, yet it seems to be popping up everywhere. The major reason for this is its usefulness in applications. Wavelets reduce the data requirements in fields such as signal processing and approximation through their localization property: A function that is zero in an interval has a wavelet expansion whose partial sums are small or even zero. Since most of the information in a signal is in the region where it changes, only the local data corresponding to it needs to be considered. Wavelets do this much better than classical methods because of their “zoom-in” and “zoom-out” capabilities. Hence, wavelets appeal to scientists and engineers in any field that requires analyzing large amounts of data.This is an introductory, self-contained book on wavelet analysis and its applications, focusing on computer graphics and economics. The only prerequisite is a basic knowledge of calculus and linear algebra. For this reason, preliminary material on functional analysis, function theory, and Fourier analysis are covered in Chapter 1. The driving force of the development of wavelet analysis is described in Chapter 2 using step functions and Haar wavelets. Integral wavelet transform, discrete wavelet transform, classification of wavelets, multiresolution analysis, and wavelet algorithms for the decomposition and reconstruction of functions are presented in Chapter 3 of the book. The applications of wavelet transform in computer graphics and in economics are discussed in Chapters 4 and 5, respectively. Finally, Chapter 6 discusses some advanced material such as biorthogonal wavelets, two-dimensional wavelets, nonseparable multidimensional wavelets, and wavelet packets.

Biorthogonality and its Applications to Numerical Analysis

Preface. The solution of the general interpolation problem has very many
applications in numerical analysis and applied mathematics. However, some
time ago, I realized that its possibilities have not been fully exploited and have
even been ...

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Author: Claude Brezinski

Publisher: CRC Press

ISBN: 0824786165

Category: Mathematics

Page: 184

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Elements of Numerical Analysis

This textbook provides detailed discussion on fundamental concepts and applications of numerical analysis.

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Author: Radhey S. Gupta

Publisher: Cambridge University Press

ISBN: 9781107500495

Category: Mathematics

Page: 774

View: 465

This textbook provides detailed discussion on fundamental concepts and applications of numerical analysis.

Numerical Analysis for Engineers

Although the book was developed with emphasis on engineering and technological problems, the numerical methods can also be used to solve problems in other fields of science.

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Author: Bilal Ayyub

Publisher: CRC Press

ISBN: 9781482250367

Category: Mathematics

Page: 431

View: 780

Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical methods, especially their applications, limitations, and potentials. Each chapter contains many computational examples, as well as a section on applications that contain additional engineering examples. Each chapter also includes a set of exercise problems. The problems are designed to meet the needs of instructors in assigning homework and to help students with practicing the fundamental concepts. Although the book was developed with emphasis on engineering and technological problems, the numerical methods can also be used to solve problems in other fields of science.

Numerical Analysis with Algorithms and Programming

Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica® programs, the book includes the standard algorithms for numerical computation: Root finding for nonlinear equations Interpolation and approximation of ...

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Author: Santanu Saha Ray

Publisher: CRC Press

ISBN: 9781498741835

Category: Mathematics

Page: 685

View: 603

Numerical Analysis with Algorithms and Programming is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering. Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica® programs, the book includes the standard algorithms for numerical computation: Root finding for nonlinear equations Interpolation and approximation of functions by simpler computational building blocks, such as polynomials and splines The solution of systems of linear equations and triangularization Approximation of functions and least square approximation Numerical differentiation and divided differences Numerical quadrature and integration Numerical solutions of ordinary differential equations (ODEs) and boundary value problems Numerical solution of partial differential equations (PDEs) The text develops students’ understanding of the construction of numerical algorithms and the applicability of the methods. By thoroughly studying the algorithms, students will discover how various methods provide accuracy, efficiency, scalability, and stability for large-scale systems.

Complex Interval Arithmetic and Its Applications

The aim of this book is to present formulas and methods developed using complex interval arithmetic.

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Author: Miodrag Petkovic

Publisher: John Wiley & Sons

ISBN: 3527401342

Category: Mathematics

Page: 284

View: 210

The aim of this book is to present formulas and methods developed using complex interval arithmetic. While most of numerical methods described in the literature deal with real intervals and real vectors, there is no systematic study of methods in complex interval arithmetic. The book fills this gap. Several main subjects are considered: outer estimates for the range of complex functions, especially complex centered forms, the best approximations of elementary complex functions by disks, iterative methods for the inclusion by polynomial zeros including their implementation on parallel computers, the analysis of numerical stability of iterative methods by using complex interval arithmetic and numerical computation of curvilinear integrals with error bounds. Mainly new methods are presented developed over the last years, including a lot of very recent results by the authors some of which have not been published before.

The Schur Complement and Its Applications

This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.

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Author: Fuzhen Zhang

Publisher: Springer Science & Business Media

ISBN: 9780387242736

Category: Mathematics

Page: 295

View: 557

This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.