Scientific Computing An Introduction Using Maple And Matlab

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”.

Author : Walter Gander,Jiri Hrebicek
Publisher : Springer Science & Business Media
Page : 479 pages
File Size : 50,5 Mb
Release : 2011-06-27
Category : Computers
ISBN : 9783642188732

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Solving Problems in Scientific Computing Using Maple and MATLAB® by Walter Gander,Jiri Hrebicek Pdf

Teaches problem-solving using two of the most important mathematical software packages: Maple and MATLAB. This new edition contains five completely new chapters covering new developments.

Author : Walter Gander,Jiri Hrebicek
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642979538

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Solving Problems in Scientific Computing Using Maple and MATLAB® by Walter Gander,Jiri Hrebicek Pdf

From the reviews: ".. An excellent reference on undergraduate mathematical computing." (American Mathematical Monthly) "... manuals for such systems (Maple and MATLAB) tend to use trivial examples, making it difficult for new users of such systems to quickly apply their power to real problems. The authors have written a good book to address this need. ... the book is worth buying if you want guidance in applying Maple and MATLAB to problems in the workplace..." (Computing Reviews) ".. The presentation is unique, and extremely interesting. I was thrilled to read this text, and to learn the powerful problem-solving skills presented by these authors. I recommend the text highly, as a learning experience, not only to engineering students, but also to anyone interested in computation." (Mathematics of Computation)

Author : Walter Gander
Publisher : Unknown
Page : 128 pages
File Size : 41,6 Mb
Release : 1995
Category : Electronic
ISBN : 0387587462

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Solving Problems in Scientific Computing Using Maple and MATLAB by Walter Gander Pdf

Author : Walter Gander,Ji閞鈏·H閞eb鈏閏ek
Publisher : Unknown
Page : 315 pages
File Size : 45,8 Mb
Release : 1995
Category : MATLAB.
ISBN : 962430033X

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Solving Problems in Scientific Computing Using Maple and MATLAB by Walter Gander,Ji閞鈏·H閞eb鈏閏ek Pdf

Author : Walter Gander,Jiří Hřebíček
Publisher : Copernicus
Page : 440 pages
File Size : 54,5 Mb
Release : 1995
Category : MATLAB.
ISBN : UCSD:31822025624156

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Solving Problems in Scientific Computing Using Maple and MATLAB by Walter Gander,Jiří Hřebíček Pdf

Modern computing tools like Maple (symbolic computation) and MATLAB (a numeric computation and visualization program) make it possible to easily solve realistic nontrivial problems in scientific computing. In education, traditionally, complicated problems were avoided, since the amount of work for obtaining the solutions was not feasible for students. This situation has changed now, and students can be taught real-life problems that they can actually solve using the new powerful software. The reader will improve his knowledge through learning by examples and he will learn how both systems, MATLAB and Maple, may be used to solve problems interactively in an elegant way. Readers will learn to solve similar problems by understanding and applying the techniques presented in the book. All programs can be obtained from a server at ETH Zurich.

Author : Walter Gander,Jiri Hrebicek
Publisher : Unknown
Page : 476 pages
File Size : 40,7 Mb
Release : 2007-10-01
Category : Electronic
ISBN : 8181287924

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Solving Problems In Scientific Computing Using Maple And Matlab by Walter Gander,Jiri Hrebicek Pdf

Author : Ionut Danaila,Pascal Joly,Sidi Mahmoud Kaber,Marie Postel
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 42,8 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.

Author : Charles F. Van Loan
Publisher : Unknown
Page : 0 pages
File Size : 55,8 Mb
Release : 1997
Category : Computer programming
ISBN : 0131254448

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Introduction to Scientific Computing by Charles F. Van Loan Pdf

Aimed at both introductory numerical analysis students and higher-level students, this text uses motivational examples and related homework problems using MATLAB, allowing readers to get a personal feel for algorithm strengths and weaknesses, without the distraction of debugging the syntax of a compiled higher level language. In addition to standard topical coverage, each chapter includes: a sketch of a hard problem that involves ill-conditioning and high dimension; at least one theorem with both a rigorous proof and a proof by MATLAB; an experiment to bolster intuition; at least one recursive algorithm; and at least one connection to a real-world application.

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.

Author : Alfio Quarteroni,Fausto Saleri,Paola Gervasio
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 54,6 Mb
Release : 2014-02-20
Category : Computers
ISBN : 9783642453670

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Scientific Computing with MATLAB and Octave by Alfio Quarteroni,Fausto Saleri,Paola Gervasio Pdf

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review: ".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002.

Author : Mark H. Holmes
Publisher : Springer Nature
Page : 563 pages
File Size : 50,8 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.

Author : Einar Smith
Publisher : Springer Nature
Page : 344 pages
File Size : 43,7 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.

Author : Einar Smith
Publisher : Springer Nature
Page : 429 pages
File Size : 50,8 Mb
Release : 2022-11-28
Category : Mathematics
ISBN : 9783031169724

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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 standard approaches, it does not focus on any specific language, but aims to explain the underlying ideas. Typically, new concepts are first introduced in the particularly user-friendly Python language and then transferred and extended in various programming environments from C/C++, Julia and MATLAB to Maple and Mathematica. This includes various approaches to distributed computing. By examining and comparing different languages, the book is also helpful for mathematicians and practitioners in deciding which programming language to use for which purposes. At a more advanced level, special tools for the automated solution of partial differential equations using the finite element method are discussed. On a more experimental level, the basic methods of scientific machine learning in artificial neural networks are explained and illustrated.

Author : Dingyu Xue,YangQuan Chen
Publisher : CRC Press
Page : 586 pages
File Size : 47,8 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315362106

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Scientific Computing with MATLAB by Dingyu Xue,YangQuan Chen Pdf

Scientific Computing with MATLAB®, Second Edition improves students’ ability to tackle mathematical problems. It helps students understand the mathematical background and find reliable and accurate solutions to mathematical problems with the use of MATLAB, avoiding the tedious and complex technical details of mathematics. This edition retains the structure of its predecessor while expanding and updating the content of each chapter. The book bridges the gap between problems and solutions through well-grouped topics and clear MATLAB example scripts and reproducible MATLAB-generated plots. Students can effortlessly experiment with the scripts for a deep, hands-on exploration. Each chapter also includes a set of problems to strengthen understanding of the material.