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Scientific applications involve very large computations that strain the resources of whatever computers are available. Such computations implement sophisticated mathematics, require deep scientific knowledge, depend on subtle interplay of different approximations, and may be subject to instabilities and sensitivity to external input. Software able to succeed in this domain invariably embeds significant domain knowledge that should be tapped for future use. Unfortunately, most existing scientific software is designed in an ad hoc way, resulting in monolithic codes understood by only a few developers. Software architecture refers to the way software is structured to promote objectives such as ...
“When the Spirit of Adventure Calls to our Heart, we must go.” This quote, written in memory of Mark Auricht who died on Mt Everest in 2001, reminds us of our enduring connection with nature and the magnetic attraction of adventure. It not only enlivens our soul, but also has the power to draw from within us, a strength, courage, resilience and passion that for some lies dormant until awakened. Beyond the story of triumph and tragedy in the Himalayan landscape, this book is also about the journey that takes place within us, when we explore the limits of our self-imposed boundaries to find the hidden treasures of our heart. As the world enters a time of unprecedented change, we must evolve new ways of thinking, living, learning and leading that will help us to navigate the challenging terrain of this new frontier. May this heart-felt tribute to the enduring spirit of Mark Auricht, serve as an inspiration and a compass for future leaders, adventurous souls and explorers of human potential.
Within all journeys are hidden gems of immense value. These treasures remain unknown unless we search for them. Sometimes we half-hear them in the stillness of a forest, at sunset or between two waves in an ocean of noise. Reflection is the key to discovery. This journal is a companion to the publication: The Spirit of Adventure Calls – A Compass for Life, Learning and Leadership. We trust that it will serve as a helpful guide that will lead you to your own True North – the place in this world where you live in alignment with your purpose, speak your truth and exist with more ease and grace, despite life’s inevitable challenges. May you find among these pages, a sacred place to reflect...
This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numer...
This volume contains 19 contributions from the International Symposium for Computational Science, 1999. Topics covered include delivery mechanisms for numerial algorithms, intelligent systems for recommending scientific software and the architecture of scientific problem-solving environments.
This book constitutes the refereed post-proceedings of the 10th IFIP WG 2.5 Working Conference on Uncertainty Quantification in Scientific Computing, WoCoUQ 2011, held in Boulder, CO, USA, in August 2011. The 24 revised papers were carefully reviewed and selected from numerous submissions. They are organized in the following topical sections: UQ need: risk, policy, and decision making, UQ theory, UQ tools, UQ practice, and hot topics. The papers are followed by the records of the discussions between the participants and the speaker.
In the past few years, knowledge about methods for the numerical solution of two-point boundary value problems has increased significantly. Important theoretical and practical advances have been made in a number or fronts, although they are not adequately described in any tt'xt currently available. With this in mind, we organized an international workshop, devoted solely to this topic. Tht' workshop took place in Vancouver, B.C., Canada, in July 1()"13, 1984. This volume contains the refereed proceedings of the workshop. Contributions to the workshop were in two formats. There were a small number of invited talks (ten of which are presented in this proceedings); the other contributions were ...
This volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions--that is, the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the LU and QR decompositions--their computation and applications. The singular value decomposition is also treated, although algorithms for its computation will appear in the second volume of the series. The present volume contains 65 algorithms formally presented in pseudocode. Other volumes in t...
Numerical software is used to test scientific theories, design airplanes and bridges, operate manufacturing lines, control power plants and refineries, analyze financial derivatives, identify genomes, and provide the understanding necessary to derive and analyze cancer treatments. Because of the high stakes involved, it is essential that results computed using software be accurate, reliable, and robust. Unfortunately, developing accurate and reliable scientific software is notoriously difficult. This book investigates some of the difficulties related to scientific computing and provides insight into how to overcome them and obtain dependable results. The tools to assess existing scientific a...
This volume presents the proceedings of the IFIP TC2 WG 2.5 Conference on Grid-Based Problem Solving Environments: Implications for Development and Deployment of Numerical Software, held in Prescott, Arizona from July 17-21, 2006. The book contains the most up-to-date research on grid-based computing. It will interest users and developers of both grid-based and traditional problem solving environments, developers of grid infrastructure, and developers of numerical software.