SPACE FILLING CURVES AN INTRODUCTION WITH APPLICATIONS IN SCIENTIFIC COMPUTING 9 TEXTS IN COMPUTATIONAL SCIENCE AND ENGINEERING

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Space Filling Curves

Author : Michael Bader
ISBN : 9783642310454
Genre : Computers
File Size : 29.52 MB
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The present book provides an introduction to using space-filling curves (SFC) as tools in scientific computing. Special focus is laid on the representation of SFC and on resulting algorithms. For example, grammar-based techniques are introduced for traversals of Cartesian and octree-type meshes, and arithmetisation of SFC is explained to compute SFC mappings and indexings. The locality properties of SFC are discussed in detail, together with their importance for algorithms. Templates for parallelisation and cache-efficient algorithms are presented to reflect the most important applications of SFC in scientific computing. Special attention is also given to the interplay of adaptive mesh refinement and SFC, including the structured refinement of triangular and tetrahedral grids. For each topic, a short overview is given on the most important publications and recent research activities.
Category: Computers

Parallel Computing Accelerating Computational Science And Engineering Cse

Author : M. Bader
ISBN : 9781614993810
Genre : Computers
File Size : 23.83 MB
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Parallel computing has been the enabling technology of high-end machines for many years. Now, it has finally become the ubiquitous key to the efficient use of any kind of multi-processor computer architecture, from smart phones, tablets, embedded systems and cloud computing up to exascale computers. _x000D_ This book presents the proceedings of ParCo2013 – the latest edition of the biennial International Conference on Parallel Computing – held from 10 to 13 September 2013, in Garching, Germany. The conference focused on several key parallel computing areas. Themes included parallel programming models for multi- and manycore CPUs, GPUs, FPGAs and heterogeneous platforms, the performance engineering processes that must be adapted to efficiently use these new and innovative platforms, novel numerical algorithms and approaches to large-scale simulations of problems in science and engineering._x000D_ The conference programme also included twelve mini-symposia (including an industry session and a special PhD Symposium), which comprehensively represented and intensified the discussion of current hot topics in high performance and parallel computing. These special sessions covered large-scale supercomputing, novel challenges arising from parallel architectures (multi-/manycore, heterogeneous platforms, FPGAs), multi-level algorithms as well as multi-scale, multi-physics and multi-dimensional problems._x000D_ It is clear that parallel computing – including the processing of large data sets (“Big Data”) – will remain a persistent driver of research in all fields of innovative computing, which makes this book relevant to all those with an interest in this field.
Category: Computers

Scientific Computing

Author : John A. Trangenstein
ISBN : 9783319691077
Genre : Mathematics
File Size : 84.35 MB
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This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 49 examples, 110 exercises, 66 algorithms, 24 interactive JavaScript programs, 77 references to software programs and 1 case study. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for a second course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra.
Category: Mathematics

Scientific Computing From A Historical Perspective

Author : Bertil Gustafsson
ISBN : 9783319698472
Genre : Mathematics
File Size : 34.63 MB
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This book explores the most significant computational methods and the history of their development. It begins with the earliest mathematical / numerical achievements made by the Babylonians and the Greeks, followed by the period beginning in the 16th century. For several centuries the main scientific challenge concerned the mechanics of planetary dynamics, and the book describes the basic numerical methods of that time. In turn, at the end of the Second World War scientific computing took a giant step forward with the advent of electronic computers, which greatly accelerated the development of numerical methods. As a result, scientific computing became established as a third scientific method in addition to the two traditional branches: theory and experimentation. The book traces numerical methods’ journey back to their origins and to the people who invented them, while also briefly examining the development of electronic computers over the years. Featuring 163 references and more than 100 figures, many of them portraits or photos of key historical figures, the book provides a unique historical perspective on the general field of scientific computing – making it a valuable resource for all students and professionals interested in the history of numerical analysis and computing, and for a broader readership alike.
Category: Mathematics

Numerische Methoden

Author : Thomas Huckle
ISBN : 9783540303183
Genre : Science
File Size : 48.53 MB
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Die Neuauflage wurde aktualisiert und Erfahrungen der täglichen Vorlesungspraxis eingearbeitet. Integriert sind neue Bereiche wie Internet und Softwareentwicklung für industrielle Anwendungen. Die dazugehörige interaktive Website ermöglicht es Studierenden die Übungsaufgaben des Buches mit Lösungshilfen selbstständig zu bearbeiten.
Category: Science

Wissenschaftliches Rechnen Mit Matlab

Author : Alfio Quarteroni
ISBN : 9783540293071
Genre : Mathematics
File Size : 52.12 MB
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Aus den Rezensionen der englischen Auflage: Dieses Lehrbuch ist eine Einführung in das Wissenschaftliche Rechnen und diskutiert Algorithmen und deren mathematischen Hintergrund. Angesprochen werden im Detail nichtlineare Gleichungen, Approximationsverfahren, numerische Integration und Differentiation, numerische Lineare Algebra, gewöhnliche Differentialgleichungen und Randwertprobleme. Zu den einzelnen Themen werden viele Beispiele und Übungsaufgaben sowie deren Lösung präsentiert, die durchweg in MATLAB formuliert sind. Der Leser findet daher nicht nur die graue Theorie sondern auch deren Umsetzung in numerischen, in MATLAB formulierten Code. MATLAB select 2003, Issue 2, p. 50. [Die Autoren] haben ein ausgezeichnetes Werk vorgelegt, das MATLAB vorstellt und eine sehr nützliche Sammlung von MATLAB Funktionen für die Lösung fortgeschrittener mathematischer und naturwissenschaftlicher Probleme bietet. [...] Die Präsentation des Stoffs ist durchgängig gut und leicht verständlich und beinhaltet Lösungen für die Übungen am Ende jedes Kapitels. Als exzellenter Neuzugang für Universitätsbibliotheken- und Buchhandlungen wird dieses Buch sowohl beim Selbststudium als auch als Ergänzung zu anderen MATLAB-basierten Büchern von großem Nutzen sein. Alles in allem: Sehr empfehlenswert. Für Studenten im Erstsemester wie für Experten gleichermassen. S.T. Karris, University of California, Berkeley, Choice 2003.
Category: Mathematics

Numerische Simulation In Der Molek Ldynamik

Author : Michael Griebel
ISBN : 9783642187797
Genre : Mathematics
File Size : 30.57 MB
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Das Buch behandelt Methoden des wissenschaftlichen Rechnens in der Moleküldynamik, einem Bereich, der in vielen Anwendungen der Chemie, der Biowissenschaften, der Materialwissenschaften, insbesondere der Nanotechnologie, sowie der Astrophysik eine wichtige Rolle spielt. Es führt in die wichtigsten Simulationstechniken zur numerischen Behandlung der Newtonschen Bewegungsgleichungen ein. Der Schwerpunkt liegt hierbei auf der schnellen Auswertung kurz- und langreichweitiger Kräfte mittels Linked Cell-, P$/\3$M-, Baum- und Multipol-Verfahren, sowie deren paralleler Implementierung und Lastbalancierung auf Rechensystemen mit verteiltem Speicher. Die einzelnen Kapitel beinhalten darüberhinaus detailierte Hinweise, um die Verfahren Schritt für Schritt in ein Programmpaket umzusetzen. In zahlreichen farbigen Abbildungen werden Simulationsergebnisse für eine Reihe von Anwendungen präsentiert.
Category: Mathematics