Error Control and Adaptivity in Scientific Computing (Nato Science Series C:)

Springer

ISBN 10: 0792358082 / ISBN 13: 9780792358084

Published by Springer, 1999

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Bibliographic Details

Title: Error Control and Adaptivity in Scientific ...

Publisher: Springer

Publication Date: 1999

Binding: Hardcover

Book Condition: Good

Edition: 1999.

About this title

Synopsis:

One of the main ways by which we can understand complex processes is to create computerised numerical simulation models of them. Modern simulation tools are not used only by experts, however, and reliability has therefore become an important issue, meaning that it is not sufficient for a simulation package merely to print out some numbers, claiming them to be the desired results. An estimate of the associated error is also needed. The errors may derive from many sources: errors in the model, errors in discretization, rounding errors, etc.
Unfortunately, this situation does not obtain for current packages and there is a great deal of room for improvement. Only if the error can be estimated is it possible to do something to reduce it. The contributions in this book cover many aspects of the subject, the main topics being error estimates and error control in numerical linear algebra algorithms (closely related to the concept of condition numbers), interval arithmetic and adaptivity for continuous models.