Introduction To Numerical Analysis And Scientific Computing

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Introduction to Numerical Analysis and Scientific Computing

Nabil Nassif,Dolly Khuwayri Fayyad
Introduction to Numerical Analysis and Scientific Computing Book PDF

Author : Nabil Nassif,Dolly Khuwayri Fayyad
Publisher : CRC Press
Page : 332 pages
File Size : 42,7 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781466589490

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Introduction to Numerical Analysis and Scientific Computing by Nabil Nassif,Dolly Khuwayri Fayyad Pdf

Designed for a one-semester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The classroom-tested text helps students understand floating point number representations, particularly those pertaining to IEEE simple an

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 : 46,8 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.

Numerical Methods in Scientific Computing:

Germund Dahlquist,Ake Bjorck
Numerical Methods in Scientific Computing Book PDF

Author : Germund Dahlquist,Ake Bjorck
Publisher : SIAM
Page : 741 pages
File Size : 47,9 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780898716443

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Numerical Methods in Scientific Computing: by Germund Dahlquist,Ake Bjorck Pdf

This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.

Numerical Methods in Scientific Computing

Germund Dahlquist,Ake Bjorck
Numerical Methods in Scientific Computing Book PDF

Author : Germund Dahlquist,Ake Bjorck
Publisher : SIAM
Page : 742 pages
File Size : 52,8 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780898717785

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Numerical Methods in Scientific Computing by Germund Dahlquist,Ake Bjorck Pdf

This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.

Introduction to Numerical Analysis and Scientific Computing

Nabil Nassif,Dolly Fayyad
Introduction to Numerical Analysis and Scientific Computing Book PDF

Author : Nabil Nassif,Dolly Fayyad
Publisher : Unknown
Page : 329 pages
File Size : 44,8 Mb
Release : 2016
Category : Electronic
ISBN : OCLC:1145827591

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Introduction to Numerical Analysis and Scientific Computing by Nabil Nassif,Dolly Fayyad Pdf

Designed for a one-semester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The classroom-tested text helps students understand floating point number representations, particularly those pertaining to IEEE simple an.

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 : 54,7 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.

Numerical Methods and Scientific Computing

Norbert Köckler
Numerical Methods and Scientific Computing Book PDF

Author : Norbert Köckler
Publisher : Unknown
Page : 360 pages
File Size : 47,6 Mb
Release : 1994
Category : Computers
ISBN : UOM:39015031801940

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Numerical Methods and Scientific Computing by Norbert Köckler Pdf

BL Ideal numerical methods and programming text for students, lecturers, and professionals alike This book covers the whole range of numerical mathematics. Throughout, the author presents a unified approach to theory, algortithms, applications, and the use of software.

Scientific Computing and Differential Equations

Gene H. Golub,James M. Ortega
Scientific Computing and Differential Equations Book PDF

Author : Gene H. Golub,James M. Ortega
Publisher : Academic Press
Page : 360 pages
File Size : 44,7 Mb
Release : 1992
Category : Computers
ISBN : 0122892550

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Scientific Computing and Differential Equations by Gene H. Golub,James M. Ortega Pdf

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.

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 : 46,6 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”.

A Concise Introduction to Numerical Analysis

A. C. Faul
A Concise Introduction to Numerical Analysis Book PDF

Author : A. C. Faul
Publisher : CRC Press
Page : 292 pages
File Size : 42,9 Mb
Release : 2018-10-24
Category : Mathematics
ISBN : 9781315362328

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A Concise Introduction to Numerical Analysis by A. C. Faul Pdf

This textbook provides an accessible and concise introduction to numerical analysis for upper undergraduate and beginning graduate students from various backgrounds. It was developed from the lecture notes of four successful courses on numerical analysis taught within the MPhil of Scientific Computing at the University of Cambridge. The book is easily accessible, even to those with limited knowledge of mathematics. Students will get a concise, but thorough introduction to numerical analysis. In addition the algorithmic principles are emphasized to encourage a deeper understanding of why an algorithm is suitable, and sometimes unsuitable, for a particular problem. A Concise Introduction to Numerical Analysis strikes a balance between being mathematically comprehensive, but not overwhelming with mathematical detail. In some places where further detail was felt to be out of scope of the book, the reader is referred to further reading. The book uses MATLAB® implementations to demonstrate the workings of the method and thus MATLAB's own implementations are avoided, unless they are used as building blocks of an algorithm. In some cases the listings are printed in the book, but all are available online on the book’s page at www.crcpress.com. Most implementations are in the form of functions returning the outcome of the algorithm. Also, examples for the use of the functions are given. Exercises are included in line with the text where appropriate, and each chapter ends with a selection of revision exercises. Solutions to odd-numbered exercises are also provided on the book’s page at www.crcpress.com. This textbook is also an ideal resource for graduate students coming from other subjects who will use numerical techniques extensively in their graduate studies.

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 : 45,9 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 : 42,5 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.

Computational Mathematics

Dimitrios Mitsotakis
Computational Mathematics Book PDF

Author : Dimitrios Mitsotakis
Publisher : CRC Press
Page : 870 pages
File Size : 45,7 Mb
Release : 2023-06-19
Category : Mathematics
ISBN : 9781000889482

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Computational Mathematics by Dimitrios Mitsotakis Pdf

This textbook is a comprehensive introduction to computational mathematics and scientific computing suitable for undergraduate and postgraduate courses. It presents both practical and theoretical aspects of the subject, as well as advantages and pitfalls of classical numerical methods alongside with computer code and experiments in Python. Each chapter closes with modern applications in physics, engineering, and computer science. Features: No previous experience in Python is required. Includes simplified computer code for fast-paced learning and transferable skills development. Includes practical problems ideal for project assignments and distance learning. Presents both intuitive and rigorous faces of modern scientific computing. Provides an introduction to neural networks and machine learning.

Numerical Analysis

David Kincaid,David Ronald Kincaid,Elliott Ward Cheney
Numerical Analysis Book PDF

Author : David Kincaid,David Ronald Kincaid,Elliott Ward Cheney
Publisher : American Mathematical Soc.
Page : 810 pages
File Size : 43,5 Mb
Release : 2009
Category : Numerical analysis
ISBN : 9780821847886

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Numerical Analysis by David Kincaid,David Ronald Kincaid,Elliott Ward Cheney Pdf

This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.

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 : 40,5 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.