Scientific Computing

Author : Michael T. Heath
Publisher : SIAM
ISBN 13 : 1611975573
Total Pages : 567 pages
Book Rating : 4.74/5 ( download)

DOWNLOAD NOW!

Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Einar Smith
Publisher : Springer Nature
ISBN 13 : 3030608085
Total Pages : 344 pages
Book Rating : 4.88/5 ( download)

DOWNLOAD NOW!

Download or read book Introduction to the Tools of Scientific Computing written by Einar Smith and published by Springer Nature. This book was released on 2020-12-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Bertil Gustafsson
Publisher : Springer Science & Business Media
ISBN 13 : 3642194958
Total Pages : 326 pages
Book Rating : 4.55/5 ( download)

DOWNLOAD NOW!

Download or read book Fundamentals of Scientific Computing written by Bertil Gustafsson and published by Springer Science & Business Media. This book was released on 2011-06-11 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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®.

Author : Joe Pitt-Francis
Publisher : Springer Science & Business Media
ISBN 13 : 1447127366
Total Pages : 257 pages
Book Rating : 4.69/5 ( download)

DOWNLOAD NOW!

Download or read book Guide to Scientific Computing in C++ written by Joe Pitt-Francis and published by Springer Science & Business Media. This book was released on 2012-02-15 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read textbook/reference presents an essential guide to object-oriented C++ programming for scientific computing. With a practical focus on learning by example, the theory is supported by numerous exercises. Features: provides a specific focus on the application of C++ to scientific computing, including parallel computing using MPI; stresses the importance of a clear programming style to minimize the introduction of errors into code; presents a practical introduction to procedural programming in C++, covering variables, flow of control, input and output, pointers, functions, and reference variables; exhibits the efficacy of classes, highlighting the main features of object-orientation; examines more advanced C++ features, such as templates and exceptions; supplies useful tips and examples throughout the text, together with chapter-ending exercises, and code available to download from Springer.

Author : Victor Eijkhout
Publisher : Lulu.com
ISBN 13 : 1257992546
Total Pages : 536 pages
Book Rating : 4.46/5 ( download)

DOWNLOAD NOW!

Download or read book Introduction to High Performance Scientific Computing written by Victor Eijkhout and published by Lulu.com. This book was released on 2010 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that teaches the bridging topics between numerical analysis, parallel computing, code performance, large scale applications.

Author : Alfio Quarteroni
Publisher : Springer Science & Business Media
ISBN 13 : 3642124305
Total Pages : 366 pages
Book Rating : 4.03/5 ( download)

DOWNLOAD NOW!

Download or read book Scientific Computing with MATLAB and Octave written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game thatcomputersadoptwhenstoringandoperatingwith realandcomplex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raisedthrough exercises and examples, often stemming from s- ci?c applications.

Author : Dianne P. O'Leary
Publisher : SIAM
ISBN 13 : 0898716667
Total Pages : 376 pages
Book Rating : 4.65/5 ( download)

DOWNLOAD NOW!

Download or read book Scientific Computing with Case Studies written by Dianne P. O'Leary and published by SIAM. This book was released on 2009-03-19 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Dan Stanescu
Publisher : CRC Press
ISBN 13 : 0429557930
Total Pages : 241 pages
Book Rating : 4.34/5 ( download)

DOWNLOAD NOW!

Download or read book A Gentle Introduction to Scientific Computing written by Dan Stanescu and published by CRC Press. This book was released on 2022-05-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Lloyd Dudley Fosdick
Publisher : MIT Press
ISBN 13 : 9780262061810
Total Pages : 838 pages
Book Rating : 4.13/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to High-performance Scientific Computing written by Lloyd Dudley Fosdick and published by MIT Press. This book was released on 1996 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Gerald Farin
Publisher : CRC Press
ISBN 13 : 156881321X
Total Pages : 296 pages
Book Rating : 4.19/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Principles for Scientific Computing and Visualization written by Gerald Farin and published by CRC Press. This book was released on 2008-10-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coordinate systems, an introduction to facets (planes and triangle meshes) and an introduction to computer graphics. The scientific computing part of the book covers topics in numerical linear algebra (basics, solving linear system, eigen-problems, SVD, and PCA) and numerical calculus (basics, data fitting, dynamic processes, root finding, and multivariate functions). The visualization component of the book is separated into three parts: empirical data, scalar values over 2D data, and volumes.