Practical Numerical Analysis

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Practical Numerical Methods for Chemical Engineers

Author : Richard A. Davis
Publisher : CreateSpace
ISBN 13 : 9781502527400
Total Pages : 600 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Practical Numerical Methods for Chemical Engineers by : Richard A. Davis

Download or read book Practical Numerical Methods for Chemical Engineers written by Richard A. Davis and published by CreateSpace. This book was released on 2014-10-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This NEW 3rd edition builds on the popular success of prior editions to expand the breadth of Practical Numerical Methods with more VBA macros that boost Excel's power for modeling and analysis. Engineers & scientists will find enhanced coverage of computational tools applicable to a wider variety of problems in their own disciplines. Excel is the de facto computational tool used by practicing engineers & scientists. Use this book to become proficient with VBA programming & customize your workbooks with time saving enhancements & powerful numerical techniques. Topics include an introduction to modeling, Excel & VBA programming, root-finding for systems of linear & nonlinear equations, eigenproblems, derivative approximation, optimization, experimental uncertainty analysis, least-squares regression & model validation, interpolation, integration, ordinary & partial differential equations. A companion web site has digital files for downloading 200 illustrations, examples, & the refined PNM3Suite workbook with 100 VBA user-defined functions, macros, & user forms for advanced numerical techniques. End-of-chapter practice problems for self-study are also available at the site (www.d.umn.edu/~rdavis/PNM/PNMExcelVBA3). Example files & macros are ready to be modified by users for their own needs. The introduction includes a primer on chemical reaction engineering for problems involving mass & energy balances with reactions. The next two chapters cover frequently overlooked features of Excel & VBA to apply numerical methods in Excel, as well as document results. The remaining chapters present powerful numerical techniques using Excel & VBA. Introduction to Numerical Methods & Mathematical Modeling Introduction to Excel: Documentation, Graphing, Worksheet Functions, Validation & Formatting, What-if Analysis VBA: Editor, Functions & Sub Procedures, Data Types, Structured Programming, Arithmetic & Worksheet Functions, Flow Control, Arrays, Communication, Message & Input Boxes, User Forms, Reading/Writing Files, Debugging Linear Equations: Matrix Algebra, Gaussian Elimination & Crout Reduction with Pivoting, Thomas, Cholesky, Power, Jacobi, & Interpolation Method for Eigenvalues & Eigenvectors, Jacobi & Gauss-Seidel Iteration, Relaxation Taylor Series Analysis: Finite Difference Derivative Approximations, Richardson's Extrapolation Nonlinear Equations: Root Finding, Bisection, Regula Falsi, Newton & Secant Methods, Wegstein, Quasi-Newton, Aitkin & Steffensen, Homotopy, Goal Seek & Solver, Bairstow's Method for Polynomial Roots Optimization: Solver, Luus-Jaakola, Quadratic Interpolation, Golden Section, Powell, Constraints, Scaling Uncertainty Analysis: Law of Propagation, Monte Carlo Simulations with Latin Hypercube Sampling Least-squares Regression: Linear & Nonlinear, LINEST, Gauss-Newton, Levenberg-Marquardt, Model Validation & Assessment, Parameter & Model Uncertainty Analysis, Weighted Regression Interpolation: Linear, Newton Divided Difference & Lagrange Polynomials, Rational, Stineman, Cubic & Constrained Splines, Linear & Spline Bivariate Interpolation Integration: Graphical, Trapezoidal, Midpoint for Improper Integrals, Romberg, Adaptive Simpson & Gauss-Kronrod, Multiple Integrals by Simpson, Guass-Kronrod & Monte Carlo Initial-value Problems: Single Step Euler & Backward Euler, Implicit Trapezoidal for Stiffness, Variable Step Runge-Kutta Cash Karp, Dormand-Prince, Multi-step Adams-Bashforth-Moulton, Differential-Algebraic Systems Boundary-value Problems & Partial Differential Equations: Shooting, Finite Difference, Orthogonal Collocation, Quasilinearization, Method of Lines, Crank-Nicholson Review: Summary Tables of Excel & VBA Functions, User-defined Functions, Macros, User Forms

Fundamentals of Numerical Computation

Author : Tobin A. Driscoll
Publisher : SIAM
ISBN 13 : 1611975085
Total Pages : 583 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Fundamentals of Numerical Computation by : Tobin A. Driscoll

Download or read book Fundamentals of Numerical Computation written by Tobin A. Driscoll and published by SIAM. This book was released on 2017-12-21 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Numerical Computation?is an advanced undergraduate-level introduction to the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. The book is organized with simpler methods in the first half and more advanced methods in the second half, allowing use for either a single course or a sequence of two courses. The authors take readers from basic to advanced methods, illustrating them with over 200 self-contained MATLAB functions and examples designed for those with no prior MATLAB experience. Although the text provides many examples, exercises, and illustrations, the aim of the authors is not to provide a cookbook per se, but rather an exploration of the principles of cooking. The authors have developed an online resource that includes well-tested materials related to every chapter. Among these materials are lecture-related slides and videos, ideas for student projects, laboratory exercises, computational examples and scripts, and all the functions presented in the book. The book is intended for advanced undergraduates in math, applied math, engineering, or science disciplines, as well as for researchers and professionals looking for an introduction to a subject they missed or overlooked in their education.?

Practical Numerical Analysis

Author : Gwynne Evans
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Practical Numerical Analysis by : Gwynne Evans

Download or read book Practical Numerical Analysis written by Gwynne Evans and published by . This book was released on 1995 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough and comprehensive introduction to the major topics of numerical analysis, for example, the solution of linear and non-linear equations, eigenvalue problems, approximation theory, quadrature, the numerical solution of ordinary differential equations and partial differential equations, and optimization. Each chapter gives a sound graded introduction to the topic, followed by up-to-date coverage of the more advanced areas. Contains a wealth of exercises, with selected hints and answers, ranging from those soluble by hand or a simple calculator to more extensive computer-oriented examples.

Riemann Solvers and Numerical Methods for Fluid Dynamics

Author : Eleuterio F. Toro
Publisher : Springer Science & Business Media
ISBN 13 : 366203915X
Total Pages : 635 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Riemann Solvers and Numerical Methods for Fluid Dynamics by : Eleuterio F. Toro

Download or read book Riemann Solvers and Numerical Methods for Fluid Dynamics written by Eleuterio F. Toro and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.

Numerical Analysis

Author : N. S. Asaithambi
Publisher : Harcourt Brace College Publishers
ISBN 13 :
Total Pages : 912 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Analysis by : N. S. Asaithambi

Download or read book Numerical Analysis written by N. S. Asaithambi and published by Harcourt Brace College Publishers. This book was released on 1995 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Practical Analysis in One Variable

Author : Donald Estep
Publisher : Springer Science & Business Media
ISBN 13 : 0387226443
Total Pages : 621 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Practical Analysis in One Variable by : Donald Estep

Download or read book Practical Analysis in One Variable written by Donald Estep and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text places the basic ideas of real analysis and numerical analysis together in an applied setting that is both accessible and motivational to young students. The essentials of real analysis are presented in the context of a fundamental problem of applied mathematics, which is to approximate the solution of a physical model. The framework of existence, uniqueness, and methods to approximate solutions of model equations is sufficiently broad to introduce and motivate all the basic ideas of real analysis. The book includes background and review material, numerous examples, visualizations and alternate explanations of some key ideas, and a variety of exercises ranging from simple computations to analysis and estimates to computations on a computer.

Fundamentals of Engineering Numerical Analysis

Author : Parviz Moin
Publisher : Cambridge University Press
ISBN 13 : 1139489550
Total Pages : 257 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Fundamentals of Engineering Numerical Analysis by : Parviz Moin

Download or read book Fundamentals of Engineering Numerical Analysis written by Parviz Moin and published by Cambridge University Press. This book was released on 2010-08-23 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Numerical Analysis

Author : Walter Gautschi
Publisher : Springer Science & Business Media
ISBN 13 : 0817682597
Total Pages : 611 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Numerical Analysis by : Walter Gautschi

Download or read book Numerical Analysis written by Walter Gautschi and published by Springer Science & Business Media. This book was released on 2011-12-06 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Practical Numerical and Scientific Computing with MATLAB® and Python

Author : Eihab B. M. Bashier
Publisher : CRC Press
ISBN 13 : 0429666829
Total Pages : 349 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Practical Numerical and Scientific Computing with MATLAB® and Python by : Eihab B. M. Bashier

Download or read book Practical Numerical and Scientific Computing with MATLAB® and Python written by Eihab B. M. Bashier and published by CRC Press. This book was released on 2020-03-18 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Numerical and Scientific Computing with MATLAB® and Python concentrates on the practical aspects of numerical analysis and linear and non-linear programming. It discusses the methods for solving different types of mathematical problems using MATLAB and Python. Although the book focuses on the approximation problem rather than on error analysis of mathematical problems, it provides practical ways to calculate errors. The book is divided into three parts, covering topics in numerical linear algebra, methods of interpolation, numerical differentiation and integration, solutions of differential equations, linear and non-linear programming problems, and optimal control problems. This book has the following advantages: It adopts the programming languages, MATLAB and Python, which are widely used among academics, scientists, and engineers, for ease of use and contain many libraries covering many scientific and engineering fields. It contains topics that are rarely found in other numerical analysis books, such as ill-conditioned linear systems and methods of regularization to stabilize their solutions, nonstandard finite differences methods for solutions of ordinary differential equations, and the computations of the optimal controls. It provides a practical explanation of how to apply these topics using MATLAB and Python. It discusses software libraries to solve mathematical problems, such as software Gekko, pulp, and pyomo. These libraries use Python for solutions to differential equations and static and dynamic optimization problems. Most programs in the book can be applied in versions prior to MATLAB 2017b and Python 3.7.4 without the need to modify these programs. This book is aimed at newcomers and middle-level students, as well as members of the scientific community who are interested in solving math problems using MATLAB or Python.

Numerical Analysis Using R

Author : Graham W. Griffiths
Publisher : Cambridge University Press
ISBN 13 : 131665415X
Total Pages : 637 pages
Book Rating : 4.3/5 (166 download)

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Book Synopsis Numerical Analysis Using R by : Graham W. Griffiths

Download or read book Numerical Analysis Using R written by Graham W. Griffiths and published by Cambridge University Press. This book was released on 2016-04-26 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language R, allowing integration with more statistically based methods. The book begins with standard techniques, followed by an overview of 'high resolution' flux limiters and WENO to solve problems with solutions exhibiting high gradient phenomena. Meshless methods using radial basis functions are then discussed in the context of scattered data interpolation and the solution of PDEs on irregular grids. Three detailed case studies demonstrate how numerical methods can be used to tackle very different complex problems. With its focus on practical solutions to real-world problems, this book will be useful to students and practitioners in all areas of science and engineering, especially those using R.

Theory and Applications of Numerical Analysis

Author : G. M. Phillips
Publisher : Elsevier
ISBN 13 : 0080519121
Total Pages : 461 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Theory and Applications of Numerical Analysis by : G. M. Phillips

Download or read book Theory and Applications of Numerical Analysis written by G. M. Phillips and published by Elsevier. This book was released on 1996-07-05 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Practical Numerical Methods with C#

Author : Jack Xu
Publisher : UniCAD
ISBN 13 : 1695895576
Total Pages : 470 pages
Book Rating : 4.6/5 (958 download)

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Book Synopsis Practical Numerical Methods with C# by : Jack Xu

Download or read book Practical Numerical Methods with C# written by Jack Xu and published by UniCAD. This book was released on 2019 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book builds all the code example within a single project by incorporating new advancements in C# .NET technology and open-source math libraries. It also uses C# Interactive Window to test numerical computations without compiling or running the complete project code. The second edition includes three new chapters, including "Plotting", Fourier Analysis" and "Math Expression Parser". As in the first edition, this book presents an in-depth exposition of the various numerical methods used in real-world scientific and engineering computations. It emphasizes the practical aspects of C# numerical methods and mathematical functions programming, and discusses various techniques in details to enable you to implement these numerical methods in your .NET application. Ideal for scientists, engineers, and students who would like to become more adept at numerical methods, the second edition of this book covers the following content: - Overview of C# programming. - The mathematical background and fundamentals of numerical methods. - plotting the computation results using a 3D chart control. - Math libraries for complex numbers and functions, real and complex vector and matrix operations, and special functions. - Numerical methods for generating random numbers and random distribution functions. - Various numerical methods for solving linear and nonlinear equations. - Numerical differentiation and integration. - Interpolations and curve fitting. - Optimization of single-variable and multi-variable functions with a variety of techniques, including advanced simulated annealing and evolutionary algorithms. - Numerical techniques for solving ordinary differential equations. - Numerical methods for solving boundary value problems. - Eigenvalue problems. - Fourier analysis. - mathematical expression parser and evaluator. In addition, this book provides testing examples for every math function and numerical method to show you how to use these functions and methods in your own .NET applications in a manageable and step-by-step fashion. Please visit the author's website for more information about this book at https://drxudotnet.com https://drxudotnet.com and https://gincker.com.

A First Course in Numerical Methods

Author : Uri M. Ascher
Publisher : SIAM
ISBN 13 : 0898719976
Total Pages : 574 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A First Course in Numerical Methods by : Uri M. Ascher

Download or read book A First Course in Numerical Methods written by Uri M. Ascher and published by SIAM. This book was released on 2011-07-14 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers students a practical knowledge of modern techniques in scientific computing.

Numerical Methods that Work

Author : Forman S. Acton
Publisher : American Mathematical Soc.
ISBN 13 : 147045727X
Total Pages : 549 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Numerical Methods that Work by : Forman S. Acton

Download or read book Numerical Methods that Work written by Forman S. Acton and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis for Engineers and Scientists

Author : G. Miller
Publisher : Cambridge University Press
ISBN 13 : 1107021081
Total Pages : 583 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Numerical Analysis for Engineers and Scientists by : G. Miller

Download or read book Numerical Analysis for Engineers and Scientists written by G. Miller and published by Cambridge University Press. This book was released on 2014-05-29 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level introduction balancing theory and application, providing full coverage of classical methods with many practical examples and demonstration programs.

Practical Numerical Analysis

Author : Gwynne Evans
Publisher :
ISBN 13 : 9780608220994
Total Pages : 469 pages
Book Rating : 4.2/5 (29 download)

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Book Synopsis Practical Numerical Analysis by : Gwynne Evans

Download or read book Practical Numerical Analysis written by Gwynne Evans and published by . This book was released on 2001 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis with Applications in Mechanics and Engineering

Author : Petre Teodorescu
Publisher : John Wiley & Sons
ISBN 13 : 1118614623
Total Pages : 458 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Numerical Analysis with Applications in Mechanics and Engineering by : Petre Teodorescu

Download or read book Numerical Analysis with Applications in Mechanics and Engineering written by Petre Teodorescu and published by John Wiley & Sons. This book was released on 2013-05-07 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.