Computational Methods For Numerical Analysis With R

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Computational Methods for Numerical Analysis with R

James P Howard, II
Computational Methods for Numerical Analysis with R Book PDF

Author : James P Howard, II
Publisher : CRC Press
Page : 257 pages
File Size : 42,5 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781498723640

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Computational Methods for Numerical Analysis with R by James P Howard, II Pdf

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Computational Methods for Numerical Analysis with R

James P Howard, II
Computational Methods for Numerical Analysis with R Book PDF

Author : James P Howard, II
Publisher : CRC Press
Page : 303 pages
File Size : 47,8 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781351646505

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Computational Methods for Numerical Analysis with R by James P Howard, II Pdf

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Computational Methods for Numerical Analysis with R

II Howard
Computational Methods for Numerical Analysis with R Book PDF

Author : II Howard
Publisher : CRC Press
Page : 257 pages
File Size : 44,9 Mb
Release : 2020-09-30
Category : Electronic
ISBN : 0367657910

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Computational Methods for Numerical Analysis with R by II Howard Pdf

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Computational Methods for Inverse Problems

Curtis R. Vogel
Computational Methods for Inverse Problems Book PDF

Author : Curtis R. Vogel
Publisher : SIAM
Page : 183 pages
File Size : 51,6 Mb
Release : 2002
Category : Mathematics
ISBN : 9780898717570

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Computational Methods for Inverse Problems by Curtis R. Vogel Pdf

Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

Numerical Analysis Using R

Graham W. Griffiths
Numerical Analysis Using R Book PDF

Author : Graham W. Griffiths
Publisher : Cambridge University Press
Page : 637 pages
File Size : 55,7 Mb
Release : 2016-04-26
Category : Mathematics
ISBN : 9781107115613

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Numerical Analysis Using R by Graham W. Griffiths Pdf

This book presents the latest numerical solutions to initial value problems and boundary valu problems described by ODES (Ordinary differencial equations) and PDEs (partiral differential equations). The primary focus in numerical solutions to initial value problems (IVPs) and boundary value problems (BVPs).

Using R for Numerical Analysis in Science and Engineering

Victor A. Bloomfield
Using R for Numerical Analysis in Science and Engineering Book PDF

Author : Victor A. Bloomfield
Publisher : CRC Press
Page : 362 pages
File Size : 49,7 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315360492

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Using R for Numerical Analysis in Science and Engineering by Victor A. Bloomfield Pdf

Instead of presenting the standard theoretical treatments that underlie the various numerical methods used by scientists and engineers, Using R for Numerical Analysis in Science and Engineering shows how to use R and its add-on packages to obtain numerical solutions to the complex mathematical problems commonly faced by scientists and engineers. This practical guide to the capabilities of R demonstrates Monte Carlo, stochastic, deterministic, and other numerical methods through an abundance of worked examples and code, covering the solution of systems of linear algebraic equations and nonlinear equations as well as ordinary differential equations and partial differential equations. It not only shows how to use R’s powerful graphic tools to construct the types of plots most useful in scientific and engineering work, but also: Explains how to statistically analyze and fit data to linear and nonlinear models Explores numerical differentiation, integration, and optimization Describes how to find eigenvalues and eigenfunctions Discusses interpolation and curve fitting Considers the analysis of time series Using R for Numerical Analysis in Science and Engineering provides a solid introduction to the most useful numerical methods for scientific and engineering data analysis using R.

Numerical Methods in Economics

Kenneth L. Judd
Numerical Methods in Economics Book PDF

Author : Kenneth L. Judd
Publisher : MIT Press
Page : 657 pages
File Size : 48,6 Mb
Release : 2023-04-04
Category : Business & Economics
ISBN : 9780262547741

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Numerical Methods in Economics by Kenneth L. Judd Pdf

To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.

Numerical Methods for Nonlinear Engineering Models

John R. Hauser
Numerical Methods for Nonlinear Engineering Models Book PDF

Author : John R. Hauser
Publisher : Springer Science & Business Media
Page : 1013 pages
File Size : 52,8 Mb
Release : 2009-03-24
Category : Technology & Engineering
ISBN : 9781402099205

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Numerical Methods for Nonlinear Engineering Models by John R. Hauser Pdf

There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.

Computational Methods for Fluid Flow

Roger Peyret,Thomas D. Taylor
Computational Methods for Fluid Flow Book PDF

Author : Roger Peyret,Thomas D. Taylor
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642859526

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Computational Methods for Fluid Flow by Roger Peyret,Thomas D. Taylor Pdf

In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.

Computational Methods for Integral Equations

L. M. Delves,J. L. Mohamed
Computational Methods for Integral Equations Book PDF

Author : L. M. Delves,J. L. Mohamed
Publisher : CUP Archive
Page : 392 pages
File Size : 40,8 Mb
Release : 1985
Category : Mathematics
ISBN : 0521357969

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Computational Methods for Integral Equations by L. M. Delves,J. L. Mohamed Pdf

This textbook provides a readable account of techniques for numerical solutions.

Numerical Methods for Differential Equations

J.R. Dormand
Numerical Methods for Differential Equations Book PDF

Author : J.R. Dormand
Publisher : CRC Press
Page : 390 pages
File Size : 46,9 Mb
Release : 1996-02-21
Category : Mathematics
ISBN : 0849394333

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Numerical Methods for Differential Equations by J.R. Dormand Pdf

With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All techniques covered in the text are on a program disk included with the book, and are written in Fortran 90. These programs are ideal for students, researchers, and practitioners because they allow for straightforward application of the numerical methods described in the text. The code is easily modified to solve new systems of equations. Numerical Methods for Differential Equations: A Computational Approach also contains a reliable and inexpensive global error code for those interested in global error estimation. This is a valuable text for students, who will find the derivations of the numerical methods extremely helpful and the programs themselves easy to use. It is also an excellent reference and source of software for researchers and practitioners who need computer solutions to differential equations.

Numerical Methods in Engineering with Python 3

Jaan Kiusalaas
Numerical Methods in Engineering with Python 3 Book PDF

Author : Jaan Kiusalaas
Publisher : Cambridge University Press
Page : 437 pages
File Size : 48,5 Mb
Release : 2013-01-21
Category : Computers
ISBN : 9781107033856

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Numerical Methods in Engineering with Python 3 by Jaan Kiusalaas Pdf

Provides an introduction to numerical methods for students in engineering. It uses Python 3, an easy-to-use, high-level programming language.

Using R for Numerical Analysis in Science and Engineering

Victor A. Bloomfield
Using R for Numerical Analysis in Science and Engineering Book PDF

Author : Victor A. Bloomfield
Publisher : CRC Press
Page : 359 pages
File Size : 48,5 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315362861

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Using R for Numerical Analysis in Science and Engineering by Victor A. Bloomfield Pdf

Instead of presenting the standard theoretical treatments that underlie the various numerical methods used by scientists and engineers, Using R for Numerical Analysis in Science and Engineering shows how to use R and its add-on packages to obtain numerical solutions to the complex mathematical problems commonly faced by scientists and engineers. This practical guide to the capabilities of R demonstrates Monte Carlo, stochastic, deterministic, and other numerical methods through an abundance of worked examples and code, covering the solution of systems of linear algebraic equations and nonlinear equations as well as ordinary differential equations and partial differential equations. It not only shows how to use R’s powerful graphic tools to construct the types of plots most useful in scientific and engineering work, but also: Explains how to statistically analyze and fit data to linear and nonlinear models Explores numerical differentiation, integration, and optimization Describes how to find eigenvalues and eigenfunctions Discusses interpolation and curve fitting Considers the analysis of time series Using R for Numerical Analysis in Science and Engineering provides a solid introduction to the most useful numerical methods for scientific and engineering data analysis using R.

Handbook of Computational Methods for Integration

Prem K. Kythe,Michael R. Schäferkotter
Handbook of Computational Methods for Integration Book PDF

Author : Prem K. Kythe,Michael R. Schäferkotter
Publisher : CRC Press
Page : 622 pages
File Size : 49,7 Mb
Release : 2004-12-20
Category : Mathematics
ISBN : 9781135437527

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Handbook of Computational Methods for Integration by Prem K. Kythe,Michael R. Schäferkotter Pdf

During the past 20 years, there has been enormous productivity in theoretical as well as computational integration. Some attempts have been made to find an optimal or best numerical method and related computer code to put to rest the problem of numerical integration, but the research is continuously ongoing, as this problem is still very much open-ended. The importance of numerical integration in so many areas of science and technology has made a practical, up-to-date reference on this subject long overdue. The Handbook of Computational Methods for Integration discusses quadrature rules for finite and infinite range integrals and their applications in differential and integral equations, Fourier integrals and transforms, Hartley transforms, fast Fourier and Hartley transforms, Laplace transforms and wavelets. The practical, applied perspective of this book makes it unique among the many theoretical books on numerical integration and quadrature. It will be a welcomed addition to the libraries of applied mathematicians, scientists, and engineers in virtually every discipline.

Computational Methods in Chemical Engineering with Maple

Ralph E. White,Venkat R. Subramanian
Computational Methods in Chemical Engineering with Maple Book PDF

Author : Ralph E. White,Venkat R. Subramanian
Publisher : Springer Science & Business Media
Page : 860 pages
File Size : 51,9 Mb
Release : 2010-02-06
Category : Science
ISBN : 3642043119

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Computational Methods in Chemical Engineering with Maple by Ralph E. White,Venkat R. Subramanian Pdf

This book presents Maple solutions to a wide range of problems relevant to chemical engineers and others. Many of these solutions use Maple’s symbolic capability to help bridge the gap between analytical and numerical solutions. The readers are strongly encouraged to refer to the references included in the book for a better understanding of the physics involved, and for the mathematical analysis. This book was written for a senior undergraduate or a first year graduate student course in chemical engineering. Most of the examples in this book were done in Maple 10. However, the codes should run in the most recent version of Maple. We strongly encourage the readers to use the classic worksheet (*. mws) option in Maple as we believe it is more user-friendly and robust. In chapter one you will find an introduction to Maple which includes simple basics as a convenience for the reader such as plotting, solving linear and nonlinear equations, Laplace transformations, matrix operations, ‘do loop,’ and ‘while loop. ’ Chapter two presents linear ordinary differential equations in section 1 to include homogeneous and nonhomogeneous ODEs, solving systems of ODEs using the matrix exponential and Laplace transform method. In section two of chapter two, nonlinear ordinary differential equations are presented and include simultaneous series reactions, solving nonlinear ODEs with Maple’s ‘dsolve’ command, stop conditions, differential algebraic equations, and steady state solutions. Chapter three addresses boundary value problems.