Introduction To Scientific Computing

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Introduction to Scientific Computing and Data Analysis

Mark H. Holmes
Introduction to Scientific Computing and Data Analysis Book PDF

Author : Mark H. Holmes
Publisher : Springer Nature
Page : 563 pages
File Size : 50,7 Mb
Release : 2023-07-11
Category : Computers
ISBN : 9783031224300

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Introduction to Scientific Computing and Data Analysis by Mark H. Holmes Pdf

This textbook provides an introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression-based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The codes used for most of the computational examples in the text are available on GitHub. This new edition includes material necessary for an upper division course in computational linear algebra.

Introduction to the Tools of Scientific Computing

Einar Smith
Introduction to the Tools of Scientific Computing Book PDF

Author : Einar Smith
Publisher : Springer Nature
Page : 344 pages
File Size : 44,9 Mb
Release : 2020-12-02
Category : Mathematics
ISBN : 9783030608088

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Introduction to the Tools of Scientific Computing by Einar Smith Pdf

The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing. Unlike widely used standard approaches, it does not focus on any particular language but aims to explain the key underlying concepts. In general, new concepts are first introduced in the particularly user-friendly Python language and then transferred and expanded in various scientific programming environments from C / C ++, Julia and MATLAB to Maple. This includes different approaches to distributed computing. The fact that different languages are studied and compared also makes the book useful for mathematicians and practitioners trying to decide which programming language to use for which purposes.

A Gentle Introduction to Scientific Computing

Dan Stanescu,Long Lee
A Gentle Introduction to Scientific Computing Book PDF

Author : Dan Stanescu,Long Lee
Publisher : CRC Press
Page : 241 pages
File Size : 43,9 Mb
Release : 2022-05-01
Category : Mathematics
ISBN : 9780429557934

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A Gentle Introduction to Scientific Computing by Dan Stanescu,Long Lee Pdf

Scientific Computation has established itself as a stand-alone area of knowledge at the borderline between computer science and applied mathematics. Nonetheless, its interdisciplinary character cannot be denied: its methodologies are increasingly used in a wide variety of branches of science and engineering. A Gentle Introduction to Scientific Computing intends to serve a very broad audience of college students across a variety of disciplines. It aims to expose its readers to some of the basic tools and techniques used in computational science, with a view to helping them understand what happens "behind the scenes" when simple tools such as solving equations, plotting and interpolation are used. To make the book as practical as possible, the authors explore their subject both from a theoretical, mathematical perspective and from an implementation-driven, programming perspective. Features Middle-ground approach between theory and implementation. Suitable reading for a broad range of students in STEM disciplines. Could be used as the primary text for a first course in scientific computing. Introduces mathematics majors, without any prior computer science exposure, to numerical methods. All mathematical knowledge needed beyond Calculus (together with the most widely used Calculus notation and concepts) is introduced in the text to make it self-contained.

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 : 44,8 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.

Introduction to Scientific and Technical Computing

Frank T. Willmore,Eric Jankowski,Coray Colina
Introduction to Scientific and Technical Computing Book PDF

Author : Frank T. Willmore,Eric Jankowski,Coray Colina
Publisher : CRC Press
Page : 266 pages
File Size : 46,5 Mb
Release : 2016-08-19
Category : Computers
ISBN : 9781315351858

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Introduction to Scientific and Technical Computing by Frank T. Willmore,Eric Jankowski,Coray Colina Pdf

Created to help scientists and engineers write computer code, this practical book addresses the important tools and techniques that are necessary for scientific computing, but which are not yet commonplace in science and engineering curricula. This book contains chapters summarizing the most important topics that computational researchers need to know about. It leverages the viewpoints of passionate experts involved with scientific computing courses around the globe and aims to be a starting point for new computational scientists and a reference for the experienced. Each contributed chapter focuses on a specific tool or skill, providing the content needed to provide a working knowledge of the topic in about one day. While many individual books on specific computing topics exist, none is explicitly focused on getting technical professionals and students up and running immediately across a variety of computational areas.

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 : 53,5 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”.

An Introduction to High-performance Scientific Computing

Lloyd Dudley Fosdick
An Introduction to High performance Scientific Computing Book PDF

Author : Lloyd Dudley Fosdick
Publisher : MIT Press
Page : 838 pages
File Size : 41,5 Mb
Release : 1996
Category : Computers
ISBN : 0262061813

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An Introduction to High-performance Scientific Computing by Lloyd Dudley Fosdick Pdf

Designed for undergraduates, An Introduction to High-Performance Scientific Computing assumes a basic knowledge of numerical computation and proficiency in Fortran or C programming and can be used in any science, computer science, applied mathematics, or engineering department or by practicing scientists and engineers, especially those associated with one of the national laboratories or supercomputer centers. This text evolved from a new curriculum in scientific computing that was developed to teach undergraduate science and engineering majors how to use high-performance computing systems (supercomputers) in scientific and engineering applications. Designed for undergraduates, An Introduction to High-Performance Scientific Computing assumes a basic knowledge of numerical computation and proficiency in Fortran or C programming and can be used in any science, computer science, applied mathematics, or engineering department or by practicing scientists and engineers, especially those associated with one of the national laboratories or supercomputer centers. The authors begin with a survey of scientific computing and then provide a review of background (numerical analysis, IEEE arithmetic, Unix, Fortran) and tools (elements of MATLAB, IDL, AVS). Next, full coverage is given to scientific visualization and to the architectures (scientific workstations and vector and parallel supercomputers) and performance evaluation needed to solve large-scale problems. The concluding section on applications includes three problems (molecular dynamics, advection, and computerized tomography) that illustrate the challenge of solving problems on a variety of computer architectures as well as the suitability of a particular architecture to solving a particular problem. Finally, since this can only be a hands-on course with extensive programming and experimentation with a variety of architectures and programming paradigms, the authors have provided a laboratory manual and supporting software via anonymous ftp. Scientific and Engineering Computation series

An Introduction to Scientific Computing

Ionut Danaila,Pascal Joly,Sidi Mahmoud Kaber,Marie Postel
An Introduction to Scientific Computing Book PDF

Author : Ionut Danaila,Pascal Joly,Sidi Mahmoud Kaber,Marie Postel
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 52,9 Mb
Release : 2007-12-03
Category : Mathematics
ISBN : 9780387491592

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An Introduction to Scientific Computing by Ionut Danaila,Pascal Joly,Sidi Mahmoud Kaber,Marie Postel Pdf

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.

An Introduction to Scientific Computation and Programming

Daniel Kaplan
An Introduction to Scientific Computation and Programming Book PDF

Author : Daniel Kaplan
Publisher : Cengage Learning
Page : 564 pages
File Size : 47,5 Mb
Release : 2004
Category : Computers
ISBN : PSU:000055802475

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An Introduction to Scientific Computation and Programming by Daniel Kaplan Pdf

This book provides students with the modern skills and concepts needed to be able to use the computer expressively in scientific work. The author takes an integrated approach by covering programming, important methods and techniques of scientific computation (graphics, the organization of data, data acquisition, numerical methods, etc.) and the organization of software. Balancing the best of the teach-a-package and teach-a-language approaches, the book teaches general-purpose language skills and concepts, and also takes advantage of existing package-like software so that realistic computations can be performed.

Introduction to Scientific Programming with Python

Joakim Sundnes
Introduction to Scientific Programming with Python Book PDF

Author : Joakim Sundnes
Publisher : Unknown
Page : 157 pages
File Size : 51,9 Mb
Release : 2020
Category : Computer programming
ISBN : 9783030503567

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Introduction to Scientific Programming with Python by Joakim Sundnes Pdf

This open access book offers an initial introduction to programming for scientific and computational applications using the Python programming language. The presentation style is compact and example-based, making it suitable for students and researchers with little or no prior experience in programming. The book uses relevant examples from mathematics and the natural sciences to present programming as a practical toolbox that can quickly enable readers to write their own programs for data processing and mathematical modeling. These tools include file reading, plotting, simple text analysis, and using NumPy for numerical computations, which are fundamental building blocks of all programs in data science and computational science. At the same time, readers are introduced to the fundamental concepts of programming, including variables, functions, loops, classes, and object-oriented programming. Accordingly, the book provides a sound basis for further computer science and programming studies.

Scientific Computing

Michael T. Heath
Scientific Computing Book PDF

Author : Michael T. Heath
Publisher : SIAM
Page : 567 pages
File Size : 50,8 Mb
Release : 2018-11-14
Category : Science
ISBN : 9781611975574

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Scientific Computing by Michael T. Heath Pdf

This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Introduction to High Performance Scientific Computing

Victor Eijkhout
Introduction to High Performance Scientific Computing Book PDF

Author : Victor Eijkhout
Publisher : Lulu.com
Page : 536 pages
File Size : 40,6 Mb
Release : 2010
Category : Algebras, Linear
ISBN : 9781257992546

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Introduction to High Performance Scientific Computing by Victor Eijkhout Pdf

This is a textbook that teaches the bridging topics between numerical analysis, parallel computing, code performance, large scale applications.

Numerical Analysis in Modern Scientific Computing

Peter Deuflhard,Andreas Hohmann
Numerical Analysis in Modern Scientific Computing Book PDF

Author : Peter Deuflhard,Andreas Hohmann
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780387215846

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Numerical Analysis in Modern Scientific Computing by Peter Deuflhard,Andreas Hohmann Pdf

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.

Introduction to Scientific Computing

Brigitte Lucquin,Olivier Pironneau
Introduction to Scientific Computing Book PDF

Author : Brigitte Lucquin,Olivier Pironneau
Publisher : Unknown
Page : 388 pages
File Size : 44,9 Mb
Release : 1998-06-11
Category : Computers
ISBN : UCSC:32106013986358

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Introduction to Scientific Computing by Brigitte Lucquin,Olivier Pironneau Pdf

This book presents the basic scientific computing methods for the solution of partial differential equations (PDEs) as they occur in engineering problems. Programming codes in Fortran and C are included for each problem. Opening with the definition of the programming environment for the solving of PDE systems, it then addresses in detail the programming of the model problem by the finite element method. Efficiency, compact storage pre-conditioning and mesh adaption are also presented. General elliptic problems and evolution problems are then dealt with. Finally, topics related to other numerical methods, algorithms for parallel computing and multi processor computers are detailed. An integrated software package which illustrates the featured programs of PDEs is available on the Internet via anonymous FTP. The methods presented have applications in numerous fields of engineering including shape optimisation, nuclear safety, heat transfer, acoustics, mechanics of fluids and elasticity, and are also relevant to other areas such as pollution, meteorology, biology, etc.

Introduction to Scientific Computing

Gabriel A. Pall
Introduction to Scientific Computing Book PDF

Author : Gabriel A. Pall
Publisher : Unknown
Page : 704 pages
File Size : 51,8 Mb
Release : 1971
Category : Computers
ISBN : UOM:39015004569771

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Introduction to Scientific Computing by Gabriel A. Pall Pdf

Part I describes the digital computer in terms of technology and systems design concepts. Chapters 1 and 2 provide certain background information necessary to understand and recognize the characteristics of a computing system designed to solve scientific computing problems, and they also define the role of the digital computer as a modern problem-solving tool. Chapter 3 comprises material helpful for a clear understanding of the remaining chapters, especially those m Part III, and it is presented principally for the sake of definitions and uniform terminology. The material on operating systems has been included since students who have had an introduction to programming may not necessarily have an understanding of operating systems, monitor programs, and such related concepts as input-output control, throughout, turnaround-time, and operating efficiency. This chapter also deals with properties and characteristics of high-level programming languages suitable for scientific problem solving. It is assumed that the reader already knows one of these languages and is familiar with its syntax and external specifications. The intent is to enhance and complement this basic information rather than to teach how to design an artificial language or construct a compiler. An abridged version of Part 1 was taught to students ranging in level from second-year undergraduates in engineering and science and third- and fourth-year undergraduates in applied mathematics to graduate students in engineering.