Error Control and Adaptivity in Scientific Computing

Author: Haydar Bulgak,Christoph Zenger

Publisher: Springer Science & Business Media

ISBN: 9401146470

Category: Mathematics

Page: 354

View: 2567

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.

Multigrid

Author: Ulrich Trottenberg,Cornelius W. Oosterlee,Anton Schuller

Publisher: Academic Press

ISBN: 9780127010700

Category: Mathematics

Page: 631

View: 5233

Mathematics of Computing -- Numerical Analysis.

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 5225

Boekblad

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Netherlands

Page: N.A

View: 8845

Reviews in numerical analysis, 1980-86

as printed in Mathematical reviews

Author: American Mathematical Society

Publisher: Amer Mathematical Society

ISBN: 9780821801024

Category: Mathematics

Page: 627

View: 5187

Physics Briefs

Physikalische Berichte

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 6768

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 3901

Choice

Publication of the Association of College and Research Libraries, a Division of the American Library Association

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

Page: N.A

View: 5031

Vom Lösen numerischer Probleme

Ein Streifzug entlang der "SIAM 10x10-Digit Challenge"

Author: Folkmar Bornemann,Dirk Laurie,Stan Wagon,Jörg Waldvogel

Publisher: Springer-Verlag

ISBN: 3540341153

Category: Mathematics

Page: 381

View: 7273

Packender Streifzug durch die numerische Mathematik. Die Route orientiert sich an der "SIAM 10 x 10-Digit Challenge". 2002 forderte Nick Trefethen (Oxford) damit Kollegen und Doktoranden weltweit heraus: jede, der in wenigen Sätzen formulierten Aufgaben verlangt dabei nach der Berechnung der ersten zehn Ziffern einer reellen Zahl. Für jede Aufgabe werden vielfältige Lösungen diskutiert. Viele praktische Hinweise helfen Lesern, numerische Probleme zu lösen und lehren sie, die Wahl zwischen konkurrierenden Methoden wohl zu überlegen. Auf der Website: der vollständige lauffähige Programmtext aller Verfahren, Beispiele, Tabellen und Figuren.

Adaptive Learning Environments

Foundations and Frontiers

Author: Marlene Jones,Philip H. Winne

Publisher: Springer Science & Business Media

ISBN: 3642775128

Category: Computers

Page: 408

View: 3130

Adaptive Learning Environments (ALEs) can be viewed as the intersection of two traditionally distinct areas of research: instructional science and computer science. They encompass intelligent tutoring systems, interactive learning environments, and situated learning environments. There is increasing interest in effective instructional systems from education, industry, military and government sectors. Given recent advances in hardware architecture and reduction of hardware costs, the time is right to define the next steps in research and development of ALEs. This book is an outgrowth of the presentations and discussions that took place at the NATO Advanced Study Institute held at the University of Calgary in July 1990. It contains chapters from both researchers in instructional science and researchers in computer science on the following topics: - Systems and architectures for instruction - Representing curriculum and designing instructional tasks - Environments to support learning - Diagnosing students' learning and adjusting plans for instruction - Models of students' metacognition, motivation and learning strategies - Student-system interactions. The book containsintroductions/critiques of each pair of chapters, and a final chapter discusses the synthesis of instructional science and computer science.