Collected Lectures on the Preservation of Stability Under Discretization

Collected Lectures on the Preservation of Stability Under Discretization

Author: Donald J. Estep

Publisher: SIAM

Published: 2002-01-01

Total Pages: 290

ISBN-13: 9780898715200

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The 13 lectures are intended to be accessible to new graduate students of mathematics, sacrificing some detail in order to offer an accessible introduction to the fundamentals of stability that can provide a foundation for further study. Presenters from the US and Britain cover preserving qualitative stability features and structural stability, and investigating physical stability and model stability. Annotation copyrighted by Book News, Inc., Portland, OR


Complementarity and Variational Problems

Complementarity and Variational Problems

Author: Michael C. Ferris

Publisher: SIAM

Published: 1997-01-01

Total Pages: 494

ISBN-13: 9780898713916

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After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.


Next Generation Environmental Models and Computational Methods

Next Generation Environmental Models and Computational Methods

Author: George Delic

Publisher: SIAM

Published: 1997-01-01

Total Pages: 394

ISBN-13: 9780898713787

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Large-scale changes are taking place in the way modelling is performed within the US EPA, and a new generation of environmental models is currently under construction. The US EPA is engaging in several modelling efforts in response to Congressional mandates such as the Clean Air Act and the Clean Water Act. These mandates require the scientific modelling of the impact of pollutants on human health and the environment. The complexity of scale in environmental models has increased by several orders of magnitude, with a simultaneous demand for increased stability, accuracy and efficiency in the computed model solution. This book showcases numerical algorithms appropriate to the subject areas listed below and explores how new algorithmic methods would benefit the US EPA's environmental models and other environmental studies.


Proceedings of the Fifth Workshop on Algorithm Engineering and Experiments

Proceedings of the Fifth Workshop on Algorithm Engineering and Experiments

Author: Richard E. Ladner

Publisher: SIAM

Published: 2003-01-01

Total Pages: 162

ISBN-13: 9780898715422

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The ALENEX workshop provides a forum for the presentation of original research in the implementation and experimental evaluation of algorithms and data structures. This volume collects extended versions of the 12 papers that were selected for presentation.


Acta Numerica 1993: Volume 2

Acta Numerica 1993: Volume 2

Author: Arieh Iserles

Publisher: Cambridge University Press

Published: 1993-04-30

Total Pages: 344

ISBN-13: 9780521443562

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Continuing the tradition established with the 1992 volume, this 1993's Acta Numerica presents six invited papers on a broad range of topics from numerical analysis. Papers treat each topic at a level intelligible by any numerical analyst from graduate student to professional.


Mathematical Aspects of Scientific Software

Mathematical Aspects of Scientific Software

Author: J.R. Rice

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 213

ISBN-13: 1468470744

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Since scientific software is the fuel that drives today's computers to solve a vast range of problems, huge efforts are being put into the development of new software, systems and algorithms for scientific problem solving. This book explores how scientific software impacts the structure of mathematics, how it creates new subfields, and how new classes of mathematical problems arise. The focus is on five topics where the impact is currently being felt and where important new challenges exist, namely: the new subfield of parallel and geometric computations, the emergence of symbolic computation systems into "general" use, the potential emergence of new, high-level mathematical systems, and the crucial question of how to measure the performance of mathematical problem solving tools.