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Practical Scientific Computing

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Practical Scientific Computing

Practical Scientific Computing Book
Author : Muhammad Ali,Victor Zalizniak
Publisher : Elsevier
Release : 2011-02-26
ISBN : 085709226X
Language : En, Es, Fr & De

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Book Description :

Scientific computing is about developing mathematical models, numerical methods and computer implementations to study and solve real problems in science, engineering, business and even social sciences. Mathematical modelling requires deep understanding of classical numerical methods. This essential guide provides the reader with sufficient foundations in these areas to venture into more advanced texts. The first section of the book presents numEclipse, an open source tool for numerical computing based on the notion of MATLAB®. numEclipse is implemented as a plug-in for Eclipse, a leading integrated development environment for Java programming. The second section studies the classical methods of numerical analysis. Numerical algorithms and their implementations are presented using numEclipse. Practical scientific computing is an invaluable reference for undergraduate engineering, science and mathematics students taking numerical methods courses. It will also be a useful handbook for postgraduate researchers and professionals whose work involves scientific computing. An invaluable reference for undergraduate engineering, science and mathematics students taking numerical methods courses Guides the reader through developing a deep understanding of classical numerical methods Features a comprehensive analysis of numEclipse including numerical algorithms and their implementations

Practical Numerical and Scientific Computing with MATLAB and Python

Practical Numerical and Scientific Computing with MATLAB   and Python Book
Author : Eihab B. M. Bashier
Publisher : CRC Press
Release : 2020-03-16
ISBN : 0429664109
Language : En, Es, Fr & De

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Book Description :

This book 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.

Practical Numerical and Scientific Computing with MATLAB and Python

Practical Numerical and Scientific Computing with MATLAB   and Python Book
Author : Eihab B. M. Bashier
Publisher : CRC Press
Release : 2020
ISBN : 9780367076696
Language : En, Es, Fr & De

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Book Description :

Practical Numerical and Scientific Computing with MATLAB(R) 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.

An Introduction to Scientific Computing

An Introduction to Scientific Computing Book
Author : Ionut Danaila,Pascal Joly,Sidi Mahmoud Kaber,Marie Postel
Publisher : Springer Science & Business Media
Release : 2007-12-03
ISBN : 0387491597
Language : En, Es, Fr & De

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Book Description :

This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.

Practical Numerical and Scientific Computing with Matlab r and Python

Practical Numerical and Scientific Computing with Matlab r  and Python Book
Author : Eihab B M Bashier
Publisher : CRC Press
Release : 2021-09-30
ISBN : 9781032173450
Language : En, Es, Fr & De

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Book Description :

The book introduces numerical analysis, with a focus on the implementation of methods and algorithms to solve a variety of mathematical problems in use within a variety of applications. It applies programming in MATLAB and Python to a variety of numerical analysis tasks.

Guide to Scientific Computing in C

Guide to Scientific Computing in C   Book
Author : Joe Pitt-Francis,Jonathan Whiteley
Publisher : Springer
Release : 2018-03-26
ISBN : 3319731327
Language : En, Es, Fr & De

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Book Description :

This simple-to-follow textbook/reference provides an invaluable guide to object-oriented C++ programming for scientific computing. Through a series of clear and concise discussions, the key features most useful to the novice programmer are explored, enabling the reader to quickly master the basics and build the confidence to investigate less well-used features when needed. The text presents a hands-on approach that emphasizes the benefits of learning by example, stressing the importance of a clear programming style to minimise the introduction of errors into the code, and offering an extensive selection of practice exercises. This updated and enhanced new edition includes additional material on software testing, and on some new features introduced in modern C++ standards such as C++11. Topics and features: presents a practical treatment of the C++ programming language for applications in scientific computing; reviews the essentials of procedural programming in C++, covering variables, flow of control, input and output, pointers, functions and reference variables; introduces the concept of classes, showcasing the main features of object-orientation, and discusses such advanced C++ features as templates and exceptions; examines the development of a collection of classes for linear algebra calculations, and presents an introduction to parallel computing using MPI; describes how to construct an object-oriented library for solving second order differential equations; contains appendices reviewing linear algebra and useful programming constructs, together with solutions to selected exercises; provides exercises and programming tips at the end of every chapter, and supporting code at an associated website. This accessible textbook is a “must-read” for programmers of all levels of expertise. Basic familiarity with concepts such as operations between vectors and matrices, and the Newton-Raphson method for finding the roots of non-linear equations, would be an advantage, but extensive knowledge of the underlying mathematics is not assumed.

Numerical Analysis in Modern Scientific Computing

Numerical Analysis in Modern Scientific Computing Book
Author : Peter Deuflhard,Andreas Hohmann
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 0387215840
Language : En, Es, Fr & De

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Book Description :

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Computational Physics

Computational Physics Book
Author : Konstantinos N. Anagnostopoulos
Publisher : Konstantinos Anagnostopoulos
Release : 2014-07-27
ISBN : 1312318120
Language : En, Es, Fr & De

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Book Description :

This book is an introduction to the computational methods used in physics and other scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. The book starts with very simple problems in particle motion and ends with an in-depth discussion of advanced techniques used in Monte Carlo simulations in statistical mechanics. The level of instruction rises slowly, while discussing problems like the diffusion equation, electrostatics on the plane, quantum mechanics and random walks. The book aims to provide the students with the background and the experience needed in order to advance to high performance computing projects in science and engineering. But it also tries to keep the students motivated by considering interesting applications in physics, like chaos, quantum mechanics, special relativity and the physics of phase transitions. The book and the accompanying software is available for free in electronic form at http://goo.gl/SGUEkM (www.physics.ntua.gr/%7Ekonstant/ComputationalPhysics) and a printed copy can be purchased from lulu.com at http://goo.gl/Pg1zHc (vol I) and http://goo.gl/XsSBdP (vol II)

Applied Scientific Computing

Applied Scientific Computing Book
Author : Peter R. Turner,Thomas Arildsen,Kathleen Kavanagh
Publisher : Springer
Release : 2018-07-18
ISBN : 3319895753
Language : En, Es, Fr & De

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Book Description :

This easy-to-understand textbook presents a modern approach to learning numerical methods (or scientific computing), with a unique focus on the modeling and applications of the mathematical content. Emphasis is placed on the need for, and methods of, scientific computing for a range of different types of problems, supplying the evidence and justification to motivate the reader. Practical guidance on coding the methods is also provided, through simple-to-follow examples using Python. Topics and features: provides an accessible and applications-oriented approach, supported by working Python code for many of the methods; encourages both problem- and project-based learning through extensive examples, exercises, and projects drawn from practical applications; introduces the main concepts in modeling, python programming, number representation, and errors; explains the essential details of numerical calculus, linear, and nonlinear equations, including the multivariable Newton method; discusses interpolation and the numerical solution of differential equations, covering polynomial interpolation, splines, and the Euler, Runge–Kutta, and shooting methods; presents largely self-contained chapters, arranged in a logical order suitable for an introductory course on scientific computing. Undergraduate students embarking on a first course on numerical methods or scientific computing will find this textbook to be an invaluable guide to the field, and to the application of these methods across such varied disciplines as computer science, engineering, mathematics, economics, the physical sciences, and social science.

Data Driven Modeling Scientific Computation

Data Driven Modeling   Scientific Computation Book
Author : J. Nathan Kutz
Publisher : OUP Oxford
Release : 2013-08-08
ISBN : 019163588X
Language : En, Es, Fr & De

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Book Description :

The burgeoning field of data analysis is expanding at an incredible pace due to the proliferation of data collection in almost every area of science. The enormous data sets now routinely encountered in the sciences provide an incentive to develop mathematical techniques and computational algorithms that help synthesize, interpret and give meaning to the data in the context of its scientific setting. A specific aim of this book is to integrate standard scientific computing methods with data analysis. By doing so, it brings together, in a self-consistent fashion, the key ideas from: · statistics, · time-frequency analysis, and · low-dimensional reductions The blend of these ideas provides meaningful insight into the data sets one is faced with in every scientific subject today, including those generated from complex dynamical systems. This is a particularly exciting field and much of the final part of the book is driven by intuitive examples from it, showing how the three areas can be used in combination to give critical insight into the fundamental workings of various problems. Data-Driven Modeling and Scientific Computation is a survey of practical numerical solution techniques for ordinary and partial differential equations as well as algorithms for data manipulation and analysis. Emphasis is on the implementation of numerical schemes to practical problems in the engineering, biological and physical sciences. An accessible introductory-to-advanced text, this book fully integrates MATLAB and its versatile and high-level programming functionality, while bringing together computational and data skills for both undergraduate and graduate students in scientific computing.

Parallel Scientific Computing

Parallel Scientific Computing Book
Author : Roman Trobec,Gregor Kosec
Publisher : Springer
Release : 2015-03-27
ISBN : 3319170732
Language : En, Es, Fr & De

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Book Description :

This book is concentrated on the synergy between computer science and numerical analysis. It is written to provide a firm understanding of the described approaches to computer scientists, engineers or other experts who have to solve real problems. The meshless solution approach is described in more detail, with a description of the required algorithms and the methods that are needed for the design of an efficient computer program. Most of the details are demonstrated on solutions of practical problems, from basic to more complicated ones. This book will be a useful tool for any reader interested in solving complex problems in real computational domains.

Guide to Scientific Computing

Guide to Scientific Computing Book
Author : Peter R. Turner
Publisher : Red Globe Press
Release : 2000-03-17
ISBN : 0333794508
Language : En, Es, Fr & De

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Book Description :

This book is a gentle and sympathetic introduction to many of the problems of scientific computing, and the wide variety of methods used for their solutions. It is ideal for students taking a first course in numerical mathematics who need a low level entry to the subject. It gives an appreciation of the need for numerical methods for the solution of different types of problem, and discusses basic approaches. For each of the problems, at least some mathematical justification and examples provide both practical evidence and motivations for the reader to follow. Practical justification of the methods is presented through computer examples and exercises. The book also includes an introduction to MATLAB, but the code used is not intended to exemplify sophisticated or robust pieces of software; it is purely illustrative of the methods under discussion.

Scientific Computing and Differential Equations

Scientific Computing and Differential Equations Book
Author : Gene H. Golub,James M. Ortega,Golub
Publisher : Academic Press
Release : 1992
ISBN : 9780122892554
Language : En, Es, Fr & De

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Book Description :

A book that emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. An introductory chapter on this topic gives an overview of modern scientific computing, outlining its applications and placing the subject in a larger context.

Numerical Methods for Scientific Computing

Numerical Methods for Scientific Computing Book
Author : Kyle Novak
Publisher : Lulu.com
Release : 2017-01-05
ISBN : 1365659917
Language : En, Es, Fr & De

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Book Description :

Scientists and engineers often use algorithms without fully knowing what's happening inside them. This blind faith can lead to inefficient solutions and sometimes flat-out wrong ones. This book breaks open the algorithmic black boxes to help you understand how they work and why they can break down. Ideal for first-year graduate students, this book works to build both the intuitive understanding of underlying mathematical theory and useful skills for research. Examples worked out in detail provide a practical guide for using numerical methods in linear algebra, numerical analysis, and partial differential equations.

Scientific Computing with Case Studies

Scientific Computing with Case Studies Book
Author : Dianne P. O'Leary
Publisher : SIAM
Release : 2009-03-19
ISBN : 0898716667
Language : En, Es, Fr & De

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Book Description :

This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue problems. It treats standard problems and introduces important variants such as sparse systems, differential-algebraic equations, constrained optimization, Monte Carlo simulations, and parametric studies. Stability and error analysis are emphasized, and the Matlab algorithms are grounded in sound principles of software design and understanding of machine arithmetic and memory management. Nineteen case studies provide experience in mathematical modeling and algorithm design, motivated by problems in physics, engineering, epidemiology, chemistry, and biology. The topics included go well beyond the standard first-course syllabus, introducing important problems such as differential-algebraic equations and conic optimization problems, and important solution techniques such as continuation methods. The case studies cover a wide variety of fascinating applications, from modeling the spread of an epidemic to determining truss configurations.

Modern Methods in Scientific Computing and Applications

Modern Methods in Scientific Computing and Applications Book
Author : Anne Bourlioux,Martin Gander
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 9401005109
Language : En, Es, Fr & De

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Book Description :

When we first heard in the spring of 2000 that the Seminaire de matMmatiques superieures (SMS) was interested in devoting its session of the summer of 200l-its 40th-to scientific computing the idea of taking on the organizational work seemed to us somewhat remote. More immediate things were on our minds: one of us was about to go on leave to the Courant Institute, the other preparing for a research summer in Paris. But the more we learned about the possibilities of such a seminar, the support for the organization and also the great history of the SMS, the more we grew attached to the project. The topics we planned to cover were intended to span a wide range of theoretical and practical tools for solving problems in image processing, thin films, mathematical finance, electrical engineering, moving interfaces, and combustion. These applications alone show how wide the influence of scientific computing has become over the last two decades: almost any area of science and engineering is greatly influenced by simulations, and the SMS workshop in this field came very timely. We decided to organize the workshop in pairs of speakers for each of the eight topics we had chosen, and we invited the leading experts worldwide in these fields. We were very fortunate that every speaker we invited accepted to come, so the program could be realized as planned.

Scientific Computing and Automation Europe 1990

Scientific Computing and Automation  Europe  1990 Book
Author : E.J. Karjalainen
Publisher : Elsevier
Release : 1990-12-17
ISBN : 9780080868332
Language : En, Es, Fr & De

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Book Description :

This book comprises a large selection of papers presented at the second European Scientific Computing and Automation meeting (SCA 90 (Europe)) which was held in June 1990 in Maastricht, The Netherlands. The increasing use of computers for making measurements, interpreting data, and filing results brings a new unity to science. SCA concentrates on common computer-based tools which are useful in several disciplines. Practical problems in laboratory automation, robotics and information management with LIMS are covered in depth. The process of designing and acquiring a LIMS is described and standards for data transfer between instruments, between LIMS and instruments and between different LIMS are discussed. The applications of statistics and expert systems are covered in several chapters. Strategies for drug design are discussed with various practical examples. Finally the display of scientific results as images and computer-based animations is demonstrated by several examples with their color illustrations. The book should be of interest to those managing R&D projects, doing research in laboratories, acquiring or planning LIMS, designing instruments and laboratory automation systems and those involved in data analysis of scientific results.

Essentials of Scientific Computing

Essentials of Scientific Computing Book
Author : Victor Zalizniak
Publisher : Elsevier
Release : 2008-03-01
ISBN : 0857099361
Language : En, Es, Fr & De

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Book Description :

Modern development of science and technology is based to a large degree on computer modelling. To understand the principles and techniques of computer modelling, students should first get a strong background in classical numerical methods, which are the subject of this book. This text is intended for use in a numerical methods course for engineering and science students, but will also be useful as a handbook on numerical techniques for research students. Essentials of Scientific Computing is as self-contained as possible and considers a variety of methods for each type of problem discussed. It covers the basic ideas of numerical techniques, including iterative process, extrapolation and matrix factorization, and practical implementation of the methods shown is explained through numerous examples. An introduction to MATLAB is included, together with a brief overview of modern software widely used in scientific computations. Outlines classical numerical methods, which is essential for understanding the principles and techniques of computer modelling Intended for use in a numerical methods course for engineering and science students, but will also be useful as a handbook on numerical techniques for research students Covers the basic ideas of numerical techniques, including iterative process, extrapolation and matrix factorization

Computational Physics A Practical Introduction to Computational Physics and Scientific Computing using C Vol II

Computational Physics   A Practical Introduction to Computational Physics and Scientific Computing  using C     Vol  II Book
Author : Konstantinos Anagnostopoulos
Publisher : Lulu.com
Release : 2016-12-06
ISBN : 1365583384
Language : En, Es, Fr & De

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Book Description :

This book is an introduction to the computational methods used in physics and other related scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. It assumes no prior knowledge of numerical analysis, programming or computers and teaches whatever is necessary for the solution of the problems addressed in the text. C]+ is used for programming the core programs and data analysis is performed using the powerful tools of the GNU/Linux environment. All the necessary software is open source and freely available. The book starts with very simple problems in particle motion and ends with an in-depth discussion of advanced techniques used in Monte Carlo simulations in statistical mechanics. The level of instruction rises slowly, while discussing problems like the diffusion equation, electrostatics on the plane, quantum mechanics and random walks.

Numerical Recipes in C

Numerical Recipes in C   Book
Author : William H. Press
Publisher : Unknown
Release : 2007-12-01
ISBN : 9788175960961
Language : En, Es, Fr & De

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Book Description :

Now the acclaimed Second Edition of Numerical Recipes is available in the C++ object-oriented programming language. Including and updating the full mathematical and explanatory contents of Numerical Recipes in C, this new version incorporates completely new C++ versions of the more than 300 Numerical Recipes routines that are widely recognized as the most accessible and practical basis for scientific computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. Highlights include linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations and inverse theory. The authors approach to C++ preserves the efficient execution that C users expect, while simultaneously employing a clear, object-oriented interface to the routines. Tricks and tips for scientific computing in C++ are liberally included. The routines, in ANSI/ISO C++ source code, can thus be used with almost any existing C++ vector/matrix class library, according to user preference. A simple class library for stand-alone use is also included in the book. Both scientific programmers new to C++, and experienced C++ programmers who need access to the Numerical Recipes routines, can benefit from this important new version of an invaluable, classic text.