Fundamentals Of Scientific Computing

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Fundamentals of Scientific Computing

Bertil Gustafsson
Fundamentals of Scientific Computing Book PDF

Author : Bertil Gustafsson
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 49,9 Mb
Release : 2011-06-11
Category : Mathematics
ISBN : 9783642194955

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Fundamentals of Scientific Computing by Bertil Gustafsson Pdf

The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.

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 : 47,5 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.

Scientific Computing

Bertil Gustafsson
Scientific Computing Book PDF

Author : Bertil Gustafsson
Publisher : Springer
Page : 262 pages
File Size : 53,5 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9783319698472

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Scientific Computing by Bertil Gustafsson Pdf

This book explores the most significant computational methods and the history of their development. It begins with the earliest mathematical / numerical achievements made by the Babylonians and the Greeks, followed by the period beginning in the 16th century. For several centuries the main scientific challenge concerned the mechanics of planetary dynamics, and the book describes the basic numerical methods of that time. In turn, at the end of the Second World War scientific computing took a giant step forward with the advent of electronic computers, which greatly accelerated the development of numerical methods. As a result, scientific computing became established as a third scientific method in addition to the two traditional branches: theory and experimentation. The book traces numerical methods’ journey back to their origins and to the people who invented them, while also briefly examining the development of electronic computers over the years. Featuring 163 references and more than 100 figures, many of them portraits or photos of key historical figures, the book provides a unique historical perspective on the general field of scientific computing – making it a valuable resource for all students and professionals interested in the history of numerical analysis and computing, and for a broader readership alike.

Fundamentals of Numerical Computation

Tobin A. Driscoll,Richard J. Braun
Fundamentals of Numerical Computation Book PDF

Author : Tobin A. Driscoll,Richard J. Braun
Publisher : SIAM
Page : 583 pages
File Size : 54,5 Mb
Release : 2017-12-21
Category : Science
ISBN : 9781611975086

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Fundamentals of Numerical Computation by Tobin A. Driscoll,Richard J. Braun Pdf

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.?

Scientific Computing

Timo Heister,Leo G. Rebholz
Scientific Computing Book PDF

Author : Timo Heister,Leo G. Rebholz
Publisher : Walter de Gruyter GmbH & Co KG
Page : 184 pages
File Size : 44,9 Mb
Release : 2023-04-03
Category : Computers
ISBN : 9783110988451

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Scientific Computing by Timo Heister,Leo G. Rebholz Pdf

Scientific Computing for Scientists and Engineers is designed to teach undergraduate students relevant numerical methods and required fundamentals in scientific computing. Most problems in science and engineering require the solution of mathematical problems, most of which can only be done on a computer. Accurately approximating those problems requires solving differential equations and linear systems with millions of unknowns, and smart algorithms can be used on computers to reduce calculation times from years to minutes or even seconds. This book explains: How can we approximate these important mathematical processes? How accurate are our approximations? How efficient are our approximations? Scientific Computing for Scientists and Engineers covers: An introduction to a wide range of numerical methods for linear systems, eigenvalue problems, differential equations, numerical integration, and nonlinear problems; Scientific computing fundamentals like floating point representation of numbers and convergence; Analysis of accuracy and efficiency; Simple programming examples in MATLAB to illustrate the algorithms and to solve real life problems; Exercises to reinforce all topics.

Fundamentals of Numerical Computation

Tobin A Driscoll,Richard J. Braun
Fundamentals of Numerical Computation Book PDF

Author : Tobin A Driscoll,Richard J. Braun
Publisher : SIAM
Page : 615 pages
File Size : 51,9 Mb
Release : 2022-08-24
Category : Mathematics
ISBN : 9781611977011

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Fundamentals of Numerical Computation by Tobin A Driscoll,Richard J. Braun Pdf

Julia is an open-source and fast-growing programming language for scientific computing that offers clarity and ease of use for beginners but also speed and power for advanced applications. Fundamentals of Numerical Computation: Julia Edition provides a complete solution for teaching Julia in the context of numerical methods. It introduces 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. A clear progression from simple to more advanced methods allows for use in either a one-semester course or a two-semester sequence. The book includes more than 40 functions and 160 examples fully coded in Julia and available for download, online supplemental content including tested source materials for student projects and in-class labs related to every chapter, and over 600 exercises, evenly split between mathematical and computational work, and solutions to most exercises for instructors.

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 : 47,8 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.

Scientific Computing

Michael T. Heath
Scientific Computing Book PDF

Author : Michael T. Heath
Publisher : SIAM
Page : 567 pages
File Size : 54,6 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 Scientific Programming with Python

Joakim Sundnes
Introduction to Scientific Programming with Python Book PDF

Author : Joakim Sundnes
Publisher : Unknown
Page : 157 pages
File Size : 45,9 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.

Fundamentals of Natural Computing

Leandro Nunes de Castro
Fundamentals of Natural Computing Book PDF

Author : Leandro Nunes de Castro
Publisher : CRC Press
Page : 674 pages
File Size : 45,7 Mb
Release : 2006-06-02
Category : Computers
ISBN : 9781420011449

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Fundamentals of Natural Computing by Leandro Nunes de Castro Pdf

Natural computing brings together nature and computing to develop new computational tools for problem solving; to synthesize natural patterns and behaviors in computers; and to potentially design novel types of computers. Fundamentals of Natural Computing: Basic Concepts, Algorithms, and Applications presents a wide-ranging survey of novel techniqu

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 : 48,8 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.

Computability, Complexity, and Languages

Martin Davis,Ron Sigal,Elaine J. Weyuker
Computability Complexity and Languages Book PDF

Author : Martin Davis,Ron Sigal,Elaine J. Weyuker
Publisher : Academic Press
Page : 631 pages
File Size : 47,6 Mb
Release : 1994-02-03
Category : Computers
ISBN : 9780122063824

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Computability, Complexity, and Languages by Martin Davis,Ron Sigal,Elaine J. Weyuker Pdf

This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. Additions to the second edition include: extended exercise sets, which vary in difficulty; expanded section on recursion theory; new chapters on program verification and logic programming; updated references and examples throughout.

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 : 52,6 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 Parallel Computing

L. Ridgway Scott,Terry Clark,Babak Bagheri
Scientific Parallel Computing Book PDF

Author : L. Ridgway Scott,Terry Clark,Babak Bagheri
Publisher : Princeton University Press
Page : 392 pages
File Size : 46,9 Mb
Release : 2021-03-09
Category : Computers
ISBN : 9780691227658

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Scientific Parallel Computing by L. Ridgway Scott,Terry Clark,Babak Bagheri Pdf

What does Google's management of billions of Web pages have in common with analysis of a genome with billions of nucleotides? Both apply methods that coordinate many processors to accomplish a single task. From mining genomes to the World Wide Web, from modeling financial markets to global weather patterns, parallel computing enables computations that would otherwise be impractical if not impossible with sequential approaches alone. Its fundamental role as an enabler of simulations and data analysis continues an advance in a wide range of application areas. Scientific Parallel Computing is the first textbook to integrate all the fundamentals of parallel computing in a single volume while also providing a basis for a deeper understanding of the subject. Designed for graduate and advanced undergraduate courses in the sciences and in engineering, computer science, and mathematics, it focuses on the three key areas of algorithms, architecture, languages, and their crucial synthesis in performance. The book's computational examples, whose math prerequisites are not beyond the level of advanced calculus, derive from a breadth of topics in scientific and engineering simulation and data analysis. The programming exercises presented early in the book are designed to bring students up to speed quickly, while the book later develops projects challenging enough to guide students toward research questions in the field. The new paradigm of cluster computing is fully addressed. A supporting web site provides access to all the codes and software mentioned in the book, and offers topical information on popular parallel computing systems. Integrates all the fundamentals of parallel computing essential for today's high-performance requirements Ideal for graduate and advanced undergraduate students in the sciences and in engineering, computer science, and mathematics Extensive programming and theoretical exercises enable students to write parallel codes quickly More challenging projects later in the book introduce research questions New paradigm of cluster computing fully addressed Supporting web site provides access to all the codes and software mentioned in the book

Verification and Validation in Scientific Computing

William L. Oberkampf,Christopher J. Roy
Verification and Validation in Scientific Computing Book PDF

Author : William L. Oberkampf,Christopher J. Roy
Publisher : Cambridge University Press
Page : 782 pages
File Size : 49,6 Mb
Release : 2010-10-14
Category : Computers
ISBN : 9781139491761

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Verification and Validation in Scientific Computing by William L. Oberkampf,Christopher J. Roy Pdf

Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study.