Linear Algebra for Computational Sciences and Engineering

Author: Ferrante Neri
Publisher: Springer
ISBN: 3319403419
Format: PDF, Docs
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This book presents the main concepts of linear algebra from the viewpoint of applied scientists such as computer scientists and engineers, without compromising on mathematical rigor. Based on the idea that computational scientists and engineers need, in both research and professional life, an understanding of theoretical concepts of mathematics in order to be able to propose research advances and innovative solutions, every concept is thoroughly introduced and is accompanied by its informal interpretation. Furthermore, most of the theorems included are first rigorously proved and then shown in practice by a numerical example. When appropriate, topics are presented also by means of pseudocodes, thus highlighting the computer implementation of algebraic theory. It is structured to be accessible to everybody, from students of pure mathematics who are approaching algebra for the first time to researchers and graduate students in applied sciences who need a theoretical manual of algebra to successfully perform their research. Most importantly, this book is designed to be ideal for both theoretical and practical minds and to offer to both alternative and complementary perspectives to study and understand linear algebra.

Computational Science and Engineering

Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
ISBN: 9780961408817
Format: PDF
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Encompasses the full range of computational science and engineering from modelling to solution, both analytical and numerical. It develops a framework for the equations and numerical methods of applied mathematics. Gilbert Strang has taught this material to thousands of engineers and scientists (and many more on MIT's OpenCourseWare 18.085-6). His experience is seen in his clear explanations, wide range of examples, and teaching method. The book is solution-based and not formula-based: it integrates analysis and algorithms and MATLAB codes to explain each topic as effectively as possible. The topics include applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis and optimization. This book also serves as a reference for the whole community of computational scientists and engineers. Supporting resources, including MATLAB codes, problem solutions and video lectures from Gilbert Strang's 18.085 courses at MIT, are provided at math.mit.edu/cse.

Parallel Computing Accelerating Computational Science and Engineering CSE

Author: M. Bader
Publisher: IOS Press
ISBN: 1614993815
Format: PDF, Docs
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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.

Applications of Geometric Algebra in Computer Science and Engineering

Author: Leo Dorst
Publisher: Springer Science & Business Media
ISBN: 146120089X
Format: PDF, ePub
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Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.

High Performance Computing for Computational Science VECPAR 2008

Author: José M. Laginha M. Palma
Publisher: Springer Science & Business Media
ISBN: 3540928588
Format: PDF, Kindle
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VECPAR is an international conference series dedicated to the promotion and advancement of all aspects of high-performance computing for computational science, as an industrial technique and academic discipline, extending the fr- tier of both the state of the art and the state of practice. The audience and participants of VECPAR are researchers in academic departments, government laboratories and industrial organizations. There is now a permanent website for the conference series inhttp://vecpar.fe.up.pt where the history of the conference is described. The8theditionofVECPARwasorganizedinToulouse(France),June24–27, 2008. It was the third time the conference was celebrated outside Porto after Valencia (Spain) in2004andRio deJaneiro(Brazil)in 2006. Theconferenceprogrammeconsistedof6invitedtalksand53acceptedpapers out of 73 contributions that were initially submitted. The major themes are divided into: – Large-ScaleSimulationsandNumericalAlgorithmsinComputerScienceand Engineering (aerospace, earth, environment, ?nance, geoscience) – Computing in Healthcare and Biosciences – Multiscale and Multiphysics Problems – Cluster Computing and Grid Computing – Data-Centric and High-Productivity Computing – Cooperative Engineering – Problem-Solving Environments – Imaging and Graphics Twoworkshops,inadditiontotutorials,wereorganizedbeforetheconference: HPDGrid 2008—InternationalWorkshoponHigh-PerformanceDataMana- ment in Grid Environments on June 24 and Sparse Days at CERFACS on June 23 and 24. The most signi?cant contributions are made available in the present book, edited after the conference and after a second review of all orally presented papers at VECPAR 2008 and at the workshops.

Wissenschaftliches Rechnen mit MATLAB

Author: Alfio Quarteroni
Publisher: Springer-Verlag
ISBN: 3540293078
Format: PDF, ePub, Mobi
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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.

Linear Algebra for Mathematics Science and Engineering

Author: Edward M. Landesman
Publisher:
ISBN:
Format: PDF, ePub, Docs
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Presenting the fundamentals of linear algebra, this book progresses from matrix theory to the abstract notions of linear space, and covers eigenvalues and eigenvectors. Applications are shown in each chapter, along with problems and exercises.

Numerische Behandlung partieller Differentialgleichungen

Author: Christian Großmann
Publisher: Springer-Verlag
ISBN: 9783519220893
Format: PDF, ePub
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Mathematiker, Naturwissenschaftler und Ingenieure erhalten mit diesem Lehrbuch eine Einführung in die numerische Behandlung partieller Differentialgleichungen. Diskutiert werden die grundlegenden Verfahren - Finite Differenzen, Finite Volumen und Finite Elemente - für die wesentlichen Typen partieller Differentialgleichungen: elliptische, parabolische und hyperbolische Gleichungen. Einbezogen werden auch moderne Methoden zur Lösung der diskreten Probleme. Hinweise auf aktuelle Software sowie zahlreiche Beispiele und Übungsaufgaben runden diese Einführung ab.

Numerik f r Ingenieure und Naturwissenschaftler

Author: Wolfgang Dahmen
Publisher: Springer-Verlag
ISBN: 3540764933
Format: PDF
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Neben einer Einführung in alle grundlegenden numerischen Methodenbausteine illustriert das Lehrbuch anhand komplexer Anwendungen, wie diese Bausteine zu kombinieren sind. Die Themen sind so aufbereitet, dass auf Basisdarstellungen vertiefende Abschnitte folgen. Dem vorangestellt ist jeweils eine mit Beispielen untermauerte Diskussion der Begriffe Kondition und Stabilität. Das Buch ist sowohl für die Numerikausbildung im Mathematikstudium geeignet als auch für eine einsemestrige oder weiterführende Numerik-Vorlesung im Ingenieurstudium.