Scientific Computing - An Introduction using Maple and MATLAB
Scientific Computing - An Introduction using Maple and MATLAB

Author: Walter Gander

Publisher: Springer Science & Business

Published: 2014-04-23

Total Pages: 926

ISBN-13: 3319043250

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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”.

Solving Problems in Scientific Computing Using Maple and MATLAB®
Solving Problems in Scientific Computing Using Maple and MATLAB®

Author: Walter Gander

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 416

ISBN-13: 364297953X

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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)

Solving Problems in Scientific Computing Using Maple and MATLAB
Solving Problems in Scientific Computing Using Maple and MATLAB

Author: Walter Gander

Publisher: Copernicus

Published: 1995

Total Pages: 440

ISBN-13:

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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.

Scientific Computing with MATLAB
Scientific Computing with MATLAB

Author: Alfio Quarteroni

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 270

ISBN-13: 3642593399

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This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors 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 differential equations. To make the presentation concrete and appealing, the programming environment Matlab is adopted as a faithful companion.

An Introduction to Scientific Computing
An Introduction to Scientific Computing

Author: Ionut Danaila

Publisher: Springer Science & Business Media

Published: 2006-11-27

Total Pages: 303

ISBN-13: 038730889X

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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.

Scientific Computing with MATLAB and Octave
Scientific Computing with MATLAB and Octave

Author: Alfio Quarteroni

Publisher: Springer Science & Business Media

Published: 2014-02-20

Total Pages: 465

ISBN-13: 3642453678

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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.