Mathematical Foundations Of Computational Engineering
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Mathematical Foundations Of Computational Engineering
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Author : Peter J. Pahl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Foundations Of Computational Engineering written by Peter J. Pahl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Computational engineering is the treatment of engineering tasks with computers. It is based on computational mathematics, which is presented here in a comprehensive handbook. From the existing rich repertoire of mathematical theories and methods, the fundamentals of engineering computation are here presented in a coherent fashion. They are brought into a suitable order for specific engineering purposes, and their significance for typical applications shown. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information and communication technology.
Foundations Of Geometric Algebra Computing
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Author : Dietmar Hildenbrand
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-31
Foundations Of Geometric Algebra Computing written by Dietmar Hildenbrand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-31 with Computers categories.
The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.
Mathematical Foundations Of Computational Electromagnetism
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Author : Franck Assous
language : en
Publisher: Springer
Release Date : 2018-06-09
Mathematical Foundations Of Computational Electromagnetism written by Franck Assous and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-09 with Mathematics categories.
This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well‐posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.
Theoretical And Mathematical Foundations Of Computer Science
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Author : Qihai Zhou
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-07
Theoretical And Mathematical Foundations Of Computer Science written by Qihai Zhou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-07 with Computers categories.
This book constitutes the refereed post-proceedings of the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on High Performance Networking, Computing, and Communication systems, ICHCC 2011, which proceedings are published in CCIS 163. The 84 revised selected papers presented were carefully reviewed and selected for inclusion in the book. The topics covered range from computational science, engineering and technology to digital signal processing, and computational biology to game theory, and other related topices.
On The Foundations Of Computing
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Author : Giuseppe Primiero
language : en
Publisher: Oxford University Press, USA
Release Date : 2019-11-19
On The Foundations Of Computing written by Giuseppe Primiero and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-19 with Computers categories.
Computing, today more than ever before, is a multi-faceted discipline which collates several methodologies, areas of interest, and approaches: mathematics, engineering, programming, and applications. Given its enormous impact on everyday life, it is essential that its debated origins are understood, and that its different foundations are explained. On the Foundations of Computing offers a comprehensive and critical overview of the birth and evolution of computing, and it presents some of the most important technical results and philosophical problems of the discipline, combining both historical and systematic analyses. The debates this text surveys are among the latest and most urgent ones: the crisis of foundations in mathematics and the birth of the decision problem, the nature of algorithms, the debates on computational artefacts and malfunctioning, and the analysis of computational experiments. By covering these topics, On the Foundations of Computing provides a much-needed resource to contextualize these foundational issues. For practitioners, researchers, and students alike, a historical and philosophical approach such as what this volume offers becomes essential to understand the past of the discipline and to figure out the challenges of its future.
Applied Mathematics And Computational Intelligence
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Author : Anna M. Gil-Lafuente
language : en
Publisher: Springer
Release Date : 2018-03-06
Applied Mathematics And Computational Intelligence written by Anna M. Gil-Lafuente and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-06 with Technology & Engineering categories.
This book gathers selected papers presented at the conference of the Forum for Interdisciplinary Mathematics (FIM), held at Palau Macaya, Barcelona, on 18 to 20 November, 2015. The event was co-organized by the University of Barcelona (Spain), the Spanish Royal Academy of Economic and Financial Sciences (Spain) and the Forum for Interdisciplinary Mathematics (India). This instalment of the conference was presented with the title “Applied Mathematics and Computational Intelligence” and particularly focused on the use of Mathematics and Computational Intelligence techniques in a diverse range of scientific disciplines, as well as their applications in real-world problems. The book presents thirty peer-reviewed research papers, organised into four topical sections: on Mathematical Foundations; Computational Intelligence and Optimization Techniques; Modelling and Simulation Techniques; and Applications in Business and Engineering. This book will be of great interest to anyone working in the area of applied mathematics and computational intelligence and will be especially useful for scientists and graduate students pursuing research in these fields.
Mathematical Foundations For Computing
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Author : G. P. McKeown
language : en
Publisher:
Release Date : 1995
Mathematical Foundations For Computing written by G. P. McKeown and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computer science categories.
Separated Representations And Pgd Based Model Reduction
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Author : Francisco Chinesta
language : en
Publisher: Springer
Release Date : 2014-09-02
Separated Representations And Pgd Based Model Reduction written by Francisco Chinesta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-02 with Technology & Engineering categories.
The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,...), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.
Computational Engineering
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Author : Tom Halt
language : en
Publisher:
Release Date : 2016-05-28
Computational Engineering written by Tom Halt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-28 with categories.
Computational engineering is a promising and emerging field that deals with the development of models for providing high performance computing, to analyse designs and fix complex problems. Its framework includes data science for developing algorithms and mathematical foundations like fourier analysis and discrete fourier transforms. This book integrates physical and experimental approaches applied in the development of the discipline. It includes comprehensive techniques and applications to fabricate structures and networks. It focuses upon applied mathematics, computer modelling and other related fields. This text is an asset for anyone who is interested in the field of computational engineering.
Mathematical Foundations For Design
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Author : Robert M. Stark
language : en
Publisher: Courier Corporation
Release Date : 2005-01-05
Mathematical Foundations For Design written by Robert M. Stark and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-05 with Mathematics categories.
Text develops typical mathematical techniques of operations research and systems engineering and applies them to design and operation of civil engineering systems. Solutions to selected problems; solution guide available upon request. 1972 edition.