Elements Of Matrix Modeling And Computing With Matlab

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Elements of Matrix Modeling and Computing with MATLAB

Robert E. White
Elements of Matrix Modeling and Computing with MATLAB Book PDF

Author : Robert E. White
Publisher : CRC Press
Page : 426 pages
File Size : 52,5 Mb
Release : 2006-09-12
Category : Mathematics
ISBN : 9781584886273

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Elements of Matrix Modeling and Computing with MATLAB by Robert E. White Pdf

As discrete models and computing have become more common, there is a need to study matrix computation and numerical linear algebra. Encompassing a diverse mathematical core, Elements of Matrix Modeling and Computing with MATLAB examines a variety of applications and their modeling processes, showing you how to develop matrix models and solve algebraic systems. Emphasizing practical skills, it creates a bridge from problems with two and three variables to more realistic problems that have additional variables. Elements of Matrix Modeling and Computing with MATLAB focuses on seven basic applications: circuits, trusses, mixing tanks, heat conduction, data modeling, motion of a mass, and image filters. These applications are developed from very simple to more complex models. To explain the processes, the book explores numerous topics in linear algebra, including complex numbers and functions, matrices, algebraic systems, curve fitting, elements of linear differential equations, transform methods, and tools of computation. For example, the author uses linearly independent vectors and subspaces to explain over- and under-determined systems, eigenvalues and eigenvectors to solve initial value problems, and discrete Fourier transforms to perform image filtering in the frequency domain. Although the primary focus is to cultivate calculation skills by hand, most chapters also include MATLAB to help with more complicated calculations.

Elements of Matrix Modeling and Computing with MATLAB

Robert E. White
Elements of Matrix Modeling and Computing with MATLAB Book PDF

Author : Robert E. White
Publisher : CRC Press
Page : 416 pages
File Size : 49,7 Mb
Release : 2006-09-12
Category : Mathematics
ISBN : 9781420009958

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Elements of Matrix Modeling and Computing with MATLAB by Robert E. White Pdf

As discrete models and computing have become more common, there is a need to study matrix computation and numerical linear algebra. Encompassing a diverse mathematical core, Elements of Matrix Modeling and Computing with MATLAB examines a variety of applications and their modeling processes, showing you how to develop matrix models and solve algebr

Computational Linear Algebra

Robert E. White
Computational Linear Algebra Book PDF

Author : Robert E. White
Publisher : CRC Press
Page : 456 pages
File Size : 47,7 Mb
Release : 2023-04-21
Category : Mathematics
ISBN : 9781000846300

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Computational Linear Algebra by Robert E. White Pdf

Courses on linear algebra and numerical analysis need each other. Often NA courses have some linear algebra topics, and LA courses mention some topics from numerical analysis/scientific computing. This text merges these two areas into one introductory undergraduate course. It assumes students have had multivariable calculus. A second goal of this text is to demonstrate the intimate relationship of linear algebra to applications/computations. A rigorous presentation has been maintained. A third reason for writing this text is to present, in the first half of the course, the very important topic on singular value decomposition, SVD. This is done by first restricting consideration to real matrices and vector spaces. The general inner product vector spaces are considered starting in the middle of the text. The text has a number of applications. These are to motivate the student to study the linear algebra topics. Also, the text has a number of computations. MATLAB® is used, but one could modify these codes to other programming languages. These are either to simplify some linear algebra computation, or to model a particular application.

Computational Mathematics

Robert E. White
Computational Mathematics Book PDF

Author : Robert E. White
Publisher : CRC Press
Page : 403 pages
File Size : 44,8 Mb
Release : 2003-09-17
Category : Mathematics
ISBN : 9780203494479

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Computational Mathematics by Robert E. White Pdf

Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abunda

Scientific Computing - An Introduction using Maple and MATLAB

Walter Gander,Martin J. Gander,Felix Kwok
Scientific Computing An Introduction using Maple and MATLAB Book PDF

Author : Walter Gander,Martin J. Gander,Felix Kwok
Publisher : Springer Science & Business
Page : 905 pages
File Size : 55,9 Mb
Release : 2014-04-23
Category : Mathematics
ISBN : 9783319043258

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Scientific Computing - An Introduction using Maple and MATLAB by Walter Gander,Martin J. Gander,Felix Kwok Pdf

Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.

MATLAB for Engineering and the Life Sciences

Joseph Tranquillo
MATLAB for Engineering and the Life Sciences Book PDF

Author : Joseph Tranquillo
Publisher : Morgan & Claypool Publishers
Page : 138 pages
File Size : 54,7 Mb
Release : 2011
Category : Computers
ISBN : 9781608457106

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MATLAB for Engineering and the Life Sciences by Joseph Tranquillo Pdf

In recent years, the life sciences have embraced simulation as an important tool in biomedical research. Engineers are also using simulation as a powerful step in the design process. In both arenas, Matlab has become the gold standard. It is easy to learn, flexible, and has a large and growing userbase. MATLAB for Engineering and the Life Sciences is a self-guided tour of the basic functionality of MATLAB along with the functions that are most commonly used in biomedical engineering and other life sciences. Although the text is written for undergraduates, graduate students and academics, those in industry may also find value in learning MATLAB through biologically inspired examples. For instructors, the book is intended to take the emphasis off of learning syntax so that the course can focus more on algorithmic thinking. Although it is not assumed that the reader has taken differential equations or a linear algebra class, there are short introductions to many of these concepts. Following a short history of computing, the MATLAB environment is introduced. Next, vectors and matrices are discussed, followed by matrix-vector operations. The core programming elements of MATLAB are introduced in three successive chapters on scripts, loops, and conditional logic. The last three chapters outline how to manage the input and output of data, create professional quality graphics and find and use Matlab toolboxes. Throughout, biomedical examples are used to illustrate MATLAB's capabilities. Table of Contents: Introduction / Matlab Programming Environment / Vectors / Matrices / Matrix -- Vector Operations / Scripts and Functions / Loops / Conditional Logic / Data In, Data Out / Graphics / Toolboxes

Introduction to Modeling and Simulation with MATLAB® and Python

Steven I. Gordon,Brian Guilfoos
Introduction to Modeling and Simulation with MATLAB and Python Book PDF

Author : Steven I. Gordon,Brian Guilfoos
Publisher : CRC Press
Page : 211 pages
File Size : 50,7 Mb
Release : 2017-07-12
Category : Computers
ISBN : 9781498773881

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Introduction to Modeling and Simulation with MATLAB® and Python by Steven I. Gordon,Brian Guilfoos Pdf

Introduction to Modeling and Simulation with MATLAB and Python is intended for students and professionals in science, social science, and engineering that wish to learn the principles of computer modeling, as well as basic programming skills. The book content focuses on meeting a set of basic modeling and simulation competencies that were developed as part of several National Science Foundation grants. Even though computer science students are much more expert programmers, they are not often given the opportunity to see how those skills are being applied to solve complex science and engineering problems and may also not be aware of the libraries used by scientists to create those models. The book interleaves chapters on modeling concepts and related exercises with programming concepts and exercises. The authors start with an introduction to modeling and its importance to current practices in the sciences and engineering. They introduce each of the programming environments and the syntax used to represent variables and compute mathematical equations and functions. As students gain more programming expertise, the authors return to modeling concepts, providing starting code for a variety of exercises where students add additional code to solve the problem and provide an analysis of the outcomes. In this way, the book builds both modeling and programming expertise with a "just-in-time" approach so that by the end of the book, students can take on relatively simple modeling example on their own. Each chapter is supplemented with references to additional reading, tutorials, and exercises that guide students to additional help and allows them to practice both their programming and analytical modeling skills. In addition, each of the programming related chapters is divided into two parts – one for MATLAB and one for Python. In these chapters, the authors also refer to additional online tutorials that students can use if they are having difficulty with any of the topics. The book culminates with a set of final project exercise suggestions that incorporate both the modeling and programming skills provided in the rest of the volume. Those projects could be undertaken by individuals or small groups of students. The companion website at http://www.intromodeling.com provides updates to instructions when there are substantial changes in software versions, as well as electronic copies of exercises and the related code. The website also offers a space where people can suggest additional projects they are willing to share as well as comments on the existing projects and exercises throughout the book. Solutions and lecture notes will also be available for qualifying instructors.

High Performance Computing and the Discrete Element Model

Gao-Feng Zhao
High Performance Computing and the Discrete Element Model Book PDF

Author : Gao-Feng Zhao
Publisher : Elsevier
Page : 164 pages
File Size : 49,8 Mb
Release : 2015-10-31
Category : Technology & Engineering
ISBN : 9780081008096

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High Performance Computing and the Discrete Element Model by Gao-Feng Zhao Pdf

This book addresses the high performance computing of the Discrete Element Model (DEM). It is a comprehensive presentation of parallel implementation of the DEM on three popular parallel computing platforms; the multi-core PC, the GPU computer, and the cluster supercomputer. Featuring accompanying MatLab source this book helps you implement the DEM model for use with high performing technology, for particular implementation of the dynamic failure of solids, granular flow and stress wave propagation through solids. Features both Pre-processor, Solver, and Post-processor for the DEM Covers the parallel implementation of DEM on the cluster, multi-core PC, GPU PC Full of examples of dynamic fracturing, granular flow and stress wave propagation using high performance DEM Source codes and data files available for hands-on practice

Introduction to Scientific Computing

Charles F. Van Loan
Introduction to Scientific Computing Book PDF

Author : Charles F. Van Loan
Publisher : Pearson
Page : 388 pages
File Size : 49,9 Mb
Release : 2000
Category : Computers
ISBN : STANFORD:36105028540370

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Introduction to Scientific Computing by Charles F. Van Loan Pdf

Unique in content and approach, this book covers all the topics that are usually covered in an introduction to scientific computing--but folds in graphics and matrix-vector manipulation in a way that gets readers to appreciate the "connection" between continuous mathematics and computing. "MATLAB 5" is used "throughout" to encourage experimentation, and each chapter focuses on a different important theorem--allowing readers to appreciate the rigorous side of scientific computing. In addition to standard topical coverage, each chapter includes 1) a sketch of a "hard" problem that involves ill-conditioning, high dimension, etc.; 2)at least one theorem with both a rigorous proof and a "proof by MATLAB" experiment to bolster intuition; 3)at least one recursive algorithm; and 4)at least one connection to a real-world application. The book revolves around examples that are packaged in 200+ M-files, which, collectively, communicate all the key mathematical ideas and an appreciation for the subtleties of numerical computing. Power Tools of the Trade. Polynomial Interpolation. Piecewise Polynomial Interpolation. Numerical Integration. Matrix Computations. Linear Systems. The QR and Cholesky Factorizations. Nonlinear Equations and Optimization. The Initial Value Problem. For engineers and mathematicians.

Learning MATLAB

Tobin A. Driscoll
Learning MATLAB Book PDF

Author : Tobin A. Driscoll
Publisher : SIAM
Page : 105 pages
File Size : 52,5 Mb
Release : 2009-01-01
Category : Mathematics
ISBN : 9780898717662

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Learning MATLAB by Tobin A. Driscoll Pdf

A concise introduction to the MATLAB programming language for students and professionals in mathematics, science, and engineering, this book can be used as the primary text for a short course, as a companion textbook for a numerical computing course, or for self-study.

Mathematical and Computational Modeling and Simulation

Dietmar P.F. Möller
Mathematical and Computational Modeling and Simulation Book PDF

Author : Dietmar P.F. Möller
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642187094

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Mathematical and Computational Modeling and Simulation by Dietmar P.F. Möller Pdf

This introduction and textbook familiarizes engineers with the use of mathematical and computational modeling and simulation in a way that develops their understanding of the solution characteristics of a broad class of real-world problems. The relevant basic and advanced methodologies are explained in detail, with special emphasis on ill-defined problems. Some fifteen simulation systems are presented on the language and the logical level. Moreover, the reader also can accumulate an experiential overview by studying the wide variety of case studies spanning much of science and engineering. The latter are briefly described within the book but their full versions as well as some simulation software demos are available on the Web. The book can be used for courses on various levels as well as for self-study. Advanced sections are identified and can be skipped in a first reading or in undergraduate courses.

Systems Modeling and Computer Simulation

Naim Kheir
Systems Modeling and Computer Simulation Book PDF

Author : Naim Kheir
Publisher : Routledge
Page : 768 pages
File Size : 46,8 Mb
Release : 2018-12-12
Category : Technology & Engineering
ISBN : 9781351411882

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Systems Modeling and Computer Simulation by Naim Kheir Pdf

This second edition describes the fundamentals of modelling and simulation of continuous-time, discrete time, discrete-event and large-scale systems. Coverage new to this edition includes: a chapter on non-linear systems analysis and modelling, complementing the treatment of of continuous-time and discrete-time systems and a chapter on the computer animation and visualization of dynamical systems motion.

Life System Modeling and Intelligent Computing

Kang Li,Li Jia,Xin Sun,Minrui Fei,George W. Irwin
Life System Modeling and Intelligent Computing Book PDF

Author : Kang Li,Li Jia,Xin Sun,Minrui Fei,George W. Irwin
Publisher : Springer
Page : 736 pages
File Size : 46,6 Mb
Release : 2010-09-14
Category : Computers
ISBN : 9783642156151

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Life System Modeling and Intelligent Computing by Kang Li,Li Jia,Xin Sun,Minrui Fei,George W. Irwin Pdf

The 2010 International Conference on Life System Modeling and Simulation (LSMS 2010) and the 2010 International Conference on Intelligent Computing for Sustainable Energy and Environment (ICSEE 2010) were formed to bring together researchers and practitioners in the fields of life system modeling/simulation and intelligent computing applied to worldwide sustainable energy and environmental applications. A life system is a broad concept, covering both micro and macro components ra- ing from cells, tissues and organs across to organisms and ecological niches. To c- prehend and predict the complex behavior of even a simple life system can be - tremely difficult using conventional approaches. To meet this challenge, a variety of new theories and methodologies have emerged in recent years on life system modeling and simulation. Along with improved understanding of the behavior of biological systems, novel intelligent computing paradigms and techniques have emerged to h- dle complicated real-world problems and applications. In particular, intelligent c- puting approaches have been valuable in the design and development of systems and facilities for achieving sustainable energy and a sustainable environment, the two most challenging issues currently facing humanity. The two LSMS 2010 and ICSEE 2010 conferences served as an important platform for synergizing these two research streams.

Numerical Computing with MATLAB

Cleve B. Moler
Numerical Computing with MATLAB Book PDF

Author : Cleve B. Moler
Publisher : SIAM
Page : 340 pages
File Size : 53,9 Mb
Release : 2010-08-12
Category : Computers
ISBN : 9780898716603

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Numerical Computing with MATLAB by Cleve B. Moler Pdf

A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.

Modeling and Simulation of Systems Using MATLAB and Simulink

Devendra K. Chaturvedi
Modeling and Simulation of Systems Using MATLAB and Simulink Book PDF

Author : Devendra K. Chaturvedi
Publisher : CRC Press
Page : 734 pages
File Size : 43,9 Mb
Release : 2017-12-19
Category : Computers
ISBN : 9781439806739

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Modeling and Simulation of Systems Using MATLAB and Simulink by Devendra K. Chaturvedi Pdf

Not only do modeling and simulation help provide a better understanding of how real-world systems function, they also enable us to predict system behavior before a system is actually built and analyze systems accurately under varying operating conditions. Modeling and Simulation of Systems Using MATLAB® and Simulink® provides comprehensive, state-of-the-art coverage of all the important aspects of modeling and simulating both physical and conceptual systems. Various real-life examples show how simulation plays a key role in understanding real-world systems. The author also explains how to effectively use MATLAB and Simulink software to successfully apply the modeling and simulation techniques presented. After introducing the underlying philosophy of systems, the book offers step-by-step procedures for modeling different types of systems using modeling techniques, such as the graph-theoretic approach, interpretive structural modeling, and system dynamics modeling. It then explores how simulation evolved from pre-computer days into the current science of today. The text also presents modern soft computing techniques, including artificial neural networks, fuzzy systems, and genetic algorithms, for modeling and simulating complex and nonlinear systems. The final chapter addresses discrete systems modeling. Preparing both undergraduate and graduate students for advanced modeling and simulation courses, this text helps them carry out effective simulation studies. In addition, graduate students should be able to comprehend and conduct simulation research after completing this book.