Methods In Computational Science

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Methods in Computational Science

Johan Hoffman
Methods in Computational Science Book PDF

Author : Johan Hoffman
Publisher : SIAM
Page : 425 pages
File Size : 47,8 Mb
Release : 2021-10-19
Category : Computers
ISBN : 9781611976724

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Methods in Computational Science by Johan Hoffman Pdf

Computational methods are an integral part of most scientific disciplines, and a rudimentary understanding of their potential and limitations is essential for any scientist or engineer. This textbook introduces computational science through a set of methods and algorithms, with the aim of familiarizing the reader with the field’s theoretical foundations and providing the practical skills to use and develop computational methods. Centered around a set of fundamental algorithms presented in the form of pseudocode, this self-contained textbook extends the classical syllabus with new material, including high performance computing, adjoint methods, machine learning, randomized algorithms, and quantum computing. It presents theoretical material alongside several examples and exercises and provides Python implementations of many key algorithms. Methods in Computational Science is for advanced undergraduate and graduate-level students studying computer science and data science. It can also be used to support continuous learning for practicing mathematicians, data scientists, computer scientists, and engineers in the field of computational science. It is appropriate for courses in advanced numerical analysis, data science, numerical optimization, and approximation theory.

Numerical Methods Using Matlab

John H. Mathews,Kurtis K. Fink
Numerical Methods Using Matlab Book PDF

Author : John H. Mathews,Kurtis K. Fink
Publisher : Unknown
Page : 128 pages
File Size : 50,5 Mb
Release : 2010-08-12
Category : Electronic
ISBN : 1408264188

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Numerical Methods Using Matlab by John H. Mathews,Kurtis K. Fink Pdf

This package consists of the textbook plus MATLAB & Simulink Student Version 2010a For undergraduate Introduction to Numerical Analysis courses in mathematics, science, and engineering departments. This book provides a fundamental introduction to numerical analysis for undergraduate students in the areas of mathematics, computer science, physical sciences, and engineering. Knowledge of calculus is assumed.

An Introduction to Computational Science

Allen Holder,Joseph Eichholz
An Introduction to Computational Science Book PDF

Author : Allen Holder,Joseph Eichholz
Publisher : Springer
Page : 470 pages
File Size : 40,7 Mb
Release : 2019-06-18
Category : Business & Economics
ISBN : 9783030156794

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An Introduction to Computational Science by Allen Holder,Joseph Eichholz Pdf

This textbook provides an introduction to the growing interdisciplinary field of computational science. It combines a foundational development of numerical methods with a variety of illustrative applications spread across numerous areas of science and engineering. The intended audience is the undergraduate who has completed introductory coursework in mathematics and computer science. Students gain computational acuity by authoring their own numerical routines and by practicing with numerical methods as they solve computational models. This education encourages students to learn the importance of answering: How expensive is a calculation, how trustworthy is a calculation, and how might we model a problem to apply a desired numerical method? The text is written in two parts. Part I provides a succinct, one-term inauguration into the primary routines on which a further study of computational science rests. The material is organized so that the transition to computational science from coursework in calculus, differential equations, and linear algebra is natural. Beyond the mathematical and computational content of Part I, students gain proficiency with elemental programming constructs and visualization, which are presented in MATLAB syntax. The focus of Part II is modeling, wherein students build computational models, compute solutions, and report their findings. The models purposely intersect numerous areas of science and engineering to demonstrate the pervasive role played by computational science.

Computational Methods in Engineering

S. P. Venkateshan,Prasanna Swaminathan
Computational Methods in Engineering Book PDF

Author : S. P. Venkateshan,Prasanna Swaminathan
Publisher : Springer Nature
Page : 824 pages
File Size : 53,7 Mb
Release : 2023-05-31
Category : Technology & Engineering
ISBN : 9783031082269

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Computational Methods in Engineering by S. P. Venkateshan,Prasanna Swaminathan Pdf

The book is designed to serve as a textbook for courses offered to graduate and upper-undergraduate students enrolled in mechanical engineering. The book attempts to make students with mathematical backgrounds comfortable with numerical methods. The book also serves as a handy reference for practicing engineers who are interested in applications. The book is written in an easy-to-understand manner, with the essence of each numerical method clearly stated. This makes it easy for professional engineers, students, and early career researchers to follow the material presented in the book. The structure of the book has been modeled accordingly. It is divided into four modules: i) solution of a system of equations and eigenvalues which includes linear equations, determining eigenvalues, and solution of nonlinear equations; ii) function approximations: interpolation, data fit, numerical differentiation, and numerical integration; iii) solution of ordinary differential equations—initial value problems and boundary value problems; and iv) solution of partial differential equations—parabolic, elliptic, and hyperbolic PDEs. Each section of the book includes exercises to reinforce the concepts, and problems have been added at the end of each chapter. Exercise problems may be solved by using computational tools such as scientific calculators, spreadsheet programs, and MATLAB codes. The detailed coverage and pedagogical tools make this an ideal textbook for students, early career researchers, and professionals.

Computation in Science

Konrad Hinsen
Computation in Science Book PDF

Author : Konrad Hinsen
Publisher : Morgan & Claypool Publishers
Page : 140 pages
File Size : 41,5 Mb
Release : 2015-12-01
Category : Science
ISBN : 9781681741574

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Computation in Science by Konrad Hinsen Pdf

This book provides a theoretical background in computation to scientists who use computational methods. It explains how computing is used in the natural sciences, and provides a high-level overview of those aspects of computer science and software engineering that are most relevant for computational science. The focus is on concepts, results, and applications, rather than on proofs and derivations. The unique feature of this book is that it “connects the dots between computational science, the theory of computation and information, and software engineering. The book should help scientists to better understand how they use computers in their work, and to better understand how computers work. It is meant to compensate a bit for the general lack of any formal training in computer science and information theory. Readers will learn something they can use throughout their careers.

From Science to Computational Sciences

Gabriele Gramelsberger
From Science to Computational Sciences Book PDF

Author : Gabriele Gramelsberger
Publisher : Unknown
Page : 0 pages
File Size : 46,6 Mb
Release : 2011
Category : Computer science
ISBN : 3037340932

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From Science to Computational Sciences by Gabriele Gramelsberger Pdf

"In 1946 John von Neumann stated that science is stagnant along the entire front of complex problems, proposing the use of largescale computing machines to overcome this stagnation. In other words, Neumann advocated replacing analytical methods with numerical ones. The invention of the computer in the 1940s allowed scientists to realise numerical simulations of increasingly complex problems like weather forecasting, and climate and molecular modelling. Today, computers are widely used as computational laboratories, shifting science toward the computational sciences. By replacing analytical methods with numerical ones, they have expanded theory and experimentation by simulation. During the last decades hundreds of computational departments have been established all over the world and countless computer-based simulations have been conducted. This volume explores the epoch-making influence of automatic computing machines on science, in particular as simulation tools."--Back cover.

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 : 49,8 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.

Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering

David E. Keyes,Yousef Saad,Donald G. Truhlar
Domain based Parallelism and Problem Decomposition Methods in Computational Science and Engineering Book PDF

Author : David E. Keyes,Yousef Saad,Donald G. Truhlar
Publisher : SIAM
Page : 339 pages
File Size : 48,9 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 1611971500

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Domain-based Parallelism and Problem Decomposition Methods in Computational Science and Engineering by David E. Keyes,Yousef Saad,Donald G. Truhlar Pdf

This refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization. The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face this common challenge. This volume is one attempt to provide cross-disciplinary communication. Problem decomposition and the use of domain-based parallelism in computational science and engineering was the subject addressed at a workshop held at the University of Minnesota Supercomputer Institute in April 1994. The authors were subsequently able to address the relationships between their individual applications and independently developed approaches. This book is written for an interdisciplinary audience and concentrates on transferable algorithmic techniques, rather than the scientific results themselves. Cross-disciplinary editing was employed to identify jargon that needed further explanation and to ensure provision of a brief scientific background for each chapter at a tutorial level so that the physical significance of the variables is clear and correspondences between fields are visible.

Computational and Analytic Methods in Science and Engineering

Christian Constanda
Computational and Analytic Methods in Science and Engineering Book PDF

Author : Christian Constanda
Publisher : Springer Nature
Page : 261 pages
File Size : 46,6 Mb
Release : 2020-07-07
Category : Computers
ISBN : 9783030481865

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Computational and Analytic Methods in Science and Engineering by Christian Constanda Pdf

This contributed volume collects papers presented at a special session of the conference Computational and Mathematical Methods in Science and Engineering (CMMSE) held in Cadiz, Spain from June 30 - July 6, 2019. Covering the applications of integral methods to scientific developments in a variety of fields, ranging from pure analysis to petroleum engineering, the chapters in this volume present new results in both pure and applied mathematics. Written by well-known researchers in their respective disciplines, each chapter shares a common methodology based on a combination of analytic and computational tools. This approach makes the collection a valuable, multidisciplinary reference on how mathematics can be applied to various real-world processes and phenomena. Computational and Analytic Methods in Science and Engineering will be ideal for applied mathematicians, physicists, and research engineers.

Computational Methods in Plasma Physics

Stephen Jardin
Computational Methods in Plasma Physics Book PDF

Author : Stephen Jardin
Publisher : CRC Press
Page : 372 pages
File Size : 53,5 Mb
Release : 2010-06-02
Category : Computers
ISBN : 1439810958

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Computational Methods in Plasma Physics by Stephen Jardin Pdf

Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts neces

A First Course in Numerical Methods

Uri M. Ascher,Chen Greif
A First Course in Numerical Methods Book PDF

Author : Uri M. Ascher,Chen Greif
Publisher : SIAM
Page : 574 pages
File Size : 41,9 Mb
Release : 2011-07-14
Category : Mathematics
ISBN : 9780898719970

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A First Course in Numerical Methods by Uri M. Ascher,Chen Greif Pdf

Offers students a practical knowledge of modern techniques in scientific computing.

Numerical Methods for Evolutionary Differential Equations

Uri M. Ascher
Numerical Methods for Evolutionary Differential Equations Book PDF

Author : Uri M. Ascher
Publisher : SIAM
Page : 403 pages
File Size : 47,7 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780898716528

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Numerical Methods for Evolutionary Differential Equations by Uri M. Ascher Pdf

Develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems.

Parallel Algorithms in Computational Science

Dieter W. Heermann,Anthony N. Burkitt
Parallel Algorithms in Computational Science Book PDF

Author : Dieter W. Heermann,Anthony N. Burkitt
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642762659

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Parallel Algorithms in Computational Science by Dieter W. Heermann,Anthony N. Burkitt Pdf

Our aim in this book is to present and enlarge upon those aspects of parallel computing that are needed by practitioners of computational science. Today al most all classical sciences, such as mathematics, physics, chemistry and biology, employ numerical methods to help gain insight into nature. In addition to the traditional numerical methods, such as matrix inversions and the like, a whole new field of computational techniques has come to assume central importance, namely the numerical simulation methods. These methods are much less fully developed than those which are usually taught in a standard numerical math ematics course. However, they form a whole new set of tools for research in the physical sciences and are applicable to a very wide range of problems. At the same time there have been not only enormous strides forward in the speed and capability of computers but also dramatic new developments in computer architecture, and particularly in parallel computers. These improvements offer exciting prospects for computer studies of physical systems, and it is the new techniques and methods connected with such computer simulations that we seek to present in this book, particularly in the light of the possibilities opened up by parallel computers. It is clearly not possible at this early stage to write a definitive book on simulation methods and parallel computing.

Trends and Perspectives in Modern Computational Science

George Maroulis,Theodore Simos
Trends and Perspectives in Modern Computational Science Book PDF

Author : George Maroulis,Theodore Simos
Publisher : CRC Press
Page : 605 pages
File Size : 49,6 Mb
Release : 2006-10-27
Category : Mathematics
ISBN : 9789004155411

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Trends and Perspectives in Modern Computational Science by George Maroulis,Theodore Simos Pdf

This volume contains a collection of the lectures of the invited speakers and symposium organizers presented at the International Conference of Computational methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. The content of the papers bears upon new developments of Computational Science pertinent to Physics, Chemistry, Biology, Medicine, Mathematics and Engineering. Molecular Science is a privileged ground for the application and evaluation of new mathematical tools and computational methods. In recent years, novelty and progress with greatest conceivable speed is common experience. This flavor of research findings carrying many consequences for distant fields is easily evidenced in the lectures collected in this volume.

Extending Ourselves

Paul Humphreys
Extending Ourselves Book PDF

Author : Paul Humphreys
Publisher : Oxford University Press
Page : 183 pages
File Size : 51,5 Mb
Release : 2004
Category : Science
ISBN : 9780195313291

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Extending Ourselves by Paul Humphreys Pdf

Computational methods have become the dominant technique in many areas of science. This book contains the first systematic philosophical account of these new methods and their consequences for scientific method. This book will be of interest to philosophers of science and to anyone interested in the role played by computers in modern science.