Scaling of Differential Equations

Scaling of Differential Equations
Title Scaling of Differential Equations PDF eBook
Author Hans Petter Langtangen
Publisher Springer
Pages 149
Release 2016-06-15
Genre Mathematics
ISBN 3319327267

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The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.

Test Equating, Scaling, and Linking

Test Equating, Scaling, and Linking
Title Test Equating, Scaling, and Linking PDF eBook
Author Michael J. Kolen
Publisher Springer Science & Business Media
Pages 568
Release 2013-03-14
Genre Social Science
ISBN 1475743106

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By providing an introduction to test equating which both discusses the most frequently used equating methodologies and covering many of the practical issues involved, this volume expands upon the coverage of the first edition by providing a new chapter on test scaling and a second on test linking.

Comparing Scaling Methods for Health State Valuations

Comparing Scaling Methods for Health State Valuations
Title Comparing Scaling Methods for Health State Valuations PDF eBook
Author Claire Gudex
Publisher
Pages 80
Release 1993
Genre Health status indicators
ISBN

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Agile Processes in Software Engineering and Extreme Programming – Workshops

Agile Processes in Software Engineering and Extreme Programming – Workshops
Title Agile Processes in Software Engineering and Extreme Programming – Workshops PDF eBook
Author Rashina Hoda
Publisher Springer Nature
Pages 162
Release 2019-08-30
Genre Computers
ISBN 3030301265

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This open access book constitutes the research workshops, doctoral symposium and panel summaries presented at the 20th International Conference on Agile Software Development, XP 2019, held in Montreal, QC, Canada, in May 2019. XP is the premier agile software development conference combining research and practice. It is a hybrid forum where agile researchers, academics, practitioners, thought leaders, coaches, and trainers get together to present and discuss their most recent innovations, research results, experiences, concerns, challenges, and trends. Following this history, for both researchers and seasoned practitioners XP 2019 provided an informal environment to network, share, and discover trends in Agile for the next 20 years. Research papers and talks submissions were invited for the three XP 2019 research workshops, namely, agile transformation, autonomous teams, and large scale agile. This book includes 15 related papers. In addition, a summary for each of the four panels at XP 2019 is included. The panels were on security and privacy; the impact of the agile manifesto on culture, education, and software practices; business agility – agile’s next frontier; and Agile – the next 20 years.

Best-Worst Scaling

Best-Worst Scaling
Title Best-Worst Scaling PDF eBook
Author Jordan J. Louviere
Publisher Cambridge University Press
Pages 363
Release 2015-09-23
Genre Business & Economics
ISBN 1107043158

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First systematic treatment of best-worst scaling, explaining how to implement, analyze, and apply the theory across a range of disciplines.

Comparing and Scaling

Comparing and Scaling
Title Comparing and Scaling PDF eBook
Author
Publisher
Pages 90
Release 2002
Genre Mathematics
ISBN 9780130531032

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Handbook of Scaling Methods in Aquatic Ecology

Handbook of Scaling Methods in Aquatic Ecology
Title Handbook of Scaling Methods in Aquatic Ecology PDF eBook
Author Laurent Seuront
Publisher CRC Press
Pages 622
Release 2003-09-25
Genre Science
ISBN 0203489551

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The evolution of observational instruments, simulation techniques, and computing power has given aquatic scientists a new understanding of biological and physical processes that span temporal and spatial scales. This has created a need for a single volume that addresses concepts of scale in a manner that builds bridges between experimentalists and