INTRODUZIONE AL CALCOLO SCIENTIFICO QUARTERONI SALERI PDF

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Barth Michael Griebel David E. Keyes Risto M. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks.

Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, , in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. We will illustrate several numerical methods for the computer solution of cer- tain classes of mathematical problems that cannot be faced by paper and pencil.

With this aim, in Chapter 1 we will illustrate the rules of the game that computers adopt when storing and operating with real and complex numbers, vectors and matrices.

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 im- mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity.

Several graphical devices will be adopted in order to render the read- ing more pleasant. VIII Preface the symbol will be used when we want to attract the attention of the reader on a critical or surprising behavior of an algorithm or a pro- cedure. The mathematical formulae of special relevance are put within a frame. Finally, the symbol indicates the presence of a display panel summarizing concepts and conclusions which have just been reported and drawn.

Quite often we will refer to the textbook [QSS06] where many issues faced in this book are treated at a deeper level, and where theoretical re- sults are proven. All the programs introduced in this text can be downloaded from the web address mox. The less elementary subjects, those which are not so neces- sary for an introductory educational path, are highlighted by the special symbol. We grate- fully thank Prof.

Moreover, we have added new methods for the numerical solution of linear and nonlinear systems, the eigen- value computation and the solution of initial-value problems.

Another relevant improvement is that we also use the Octave programming en- vironment. In the few cases where this does not apply, we shall write a short explanation notice at the end of each corresponding section. Eaton and David Bateman for their help with Octave, and Silvia Quarteroni for the translation of the new sections.

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Barth Michael Griebel David E. Keyes Risto M. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, , in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law.

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