Relativity And Scientific Computing

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Relativity and Scientific Computing

Friedrich W Hehl,Roland A. Puntigam,Hanns Ruder
Relativity and Scientific Computing Book PDF

Author : Friedrich W Hehl,Roland A. Puntigam,Hanns Ruder
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642957321

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Relativity and Scientific Computing by Friedrich W Hehl,Roland A. Puntigam,Hanns Ruder Pdf

For this set of lectures we assumed that the reader has a reasonable back ground in physics and some knowledge of general relativity, the modern theory of gravity in macrophysics, and cosmology. Computer methods are present ed by leading experts in the three main domains: in numerics, in computer algebra, and in visualization. The idea was that each of these subdisciplines is introduced by an extended set of main lectures and that each is conceived as being of comparable 'importance. Therefpre we believe that the book represents a good introduction into scientific I computing for any student who wants to specialize in relativity, gravitation, and/or astrophysics. We took great care to select lecturers who teach in a comprehensible way and who are, at the same time, at the research front of their respective field. In numerics we had the privilege of having a lecturer from the National Center for Supercomputing Applications (NCSA, Champaign, IL, USA) and some from other leading institutions of the world; visualization was taught by a visualization expert from Boeing; and in com puter algebra we took recourse to practitioners of different computer algebra systems as applied to classical general relativity up to quantum gravity and differential geometry.

Numerical Relativity

Thomas W. Baumgarte,Stuart L. Shapiro
Numerical Relativity Book PDF

Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 717 pages
File Size : 49,5 Mb
Release : 2010-06-24
Category : Science
ISBN : 9781139643177

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Numerical Relativity by Thomas W. Baumgarte,Stuart L. Shapiro Pdf

Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.

Computational Physics, Vol I

Konstantinos N. Anagnostopoulos
Computational Physics Vol I Book PDF

Author : Konstantinos N. Anagnostopoulos
Publisher : Konstantinos Anagnostopoulos
Page : 678 pages
File Size : 52,5 Mb
Release : 2014-07-27
Category : Science
ISBN : 9781312464414

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Computational Physics, Vol I by Konstantinos N. Anagnostopoulos Pdf

This book is an introduction to the computational methods used in physics and other scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. The book starts with very simple problems in particle motion and ends with an in-depth discussion of advanced techniques used in Monte Carlo simulations in statistical mechanics. The level of instruction rises slowly, while discussing problems like the diffusion equation, electrostatics on the plane, quantum mechanics and random walks. The book aims to provide the students with the background and the experience needed in order to advance to high performance computing projects in science and engineering. But it also tries to keep the students motivated by considering interesting applications in physics, like chaos, quantum mechanics, special relativity and the physics of phase transitions. The book and the accompanying software is available for free in electronic form at http://goo.gl/SGUEkM (www.physics.ntua.gr/%7Ekonstant/ComputationalPhysics) and a printed copy can be purchased from lulu.com at http://goo.gl/Pg1zHc (vol II at http://goo.gl/XsSBdP )

Numerical Relativity

Thomas W. Baumgarte,Stuart L. Shapiro
Numerical Relativity Book PDF

Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 717 pages
File Size : 42,8 Mb
Release : 2010-06-24
Category : Science
ISBN : 9780521514071

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Numerical Relativity by Thomas W. Baumgarte,Stuart L. Shapiro Pdf

Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.

Computational Physics, Vol II

Konstantinos N. Anagnostopoulos
Computational Physics Vol II Book PDF

Author : Konstantinos N. Anagnostopoulos
Publisher : Konstantinos Anagnostopoulos
Page : 678 pages
File Size : 48,5 Mb
Release : 2014-07-27
Category : Science
ISBN : 9781312464889

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Computational Physics, Vol II by Konstantinos N. Anagnostopoulos Pdf

This book is an introduction to the computational methods used in physics and other scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. The book starts with very simple problems in particle motion and ends with an in-depth discussion of advanced techniques used in Monte Carlo simulations in statistical mechanics. The level of instruction rises slowly, while discussing problems like the diffusion equation, electrostatics on the plane, quantum mechanics and random walks. The book aims to provide the students with the background and the experience needed in order to advance to high performance computing projects in science and engineering. But it also tries to keep the students motivated by considering interesting applications in physics, like chaos, quantum mechanics, special relativity and the physics of phase transitions. The book and the accompanying software is available for free in electronic form at http://goo.gl/SGUEkM (www.physics.ntua.gr/%7Ekonstant/ComputationalPhysics) and a printed copy can be purchased from lulu.com at http://goo.gl/XsSBdP (vol I at http://goo.gl/Pg1zHc )

Hajnal Andréka and István Németi on Unity of Science

Judit Madarász,Gergely Székely
Hajnal Andr ka and Istv n N meti on Unity of Science Book PDF

Author : Judit Madarász,Gergely Székely
Publisher : Springer Nature
Page : 517 pages
File Size : 49,6 Mb
Release : 2021-05-31
Category : Philosophy
ISBN : 9783030641870

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Hajnal Andréka and István Németi on Unity of Science by Judit Madarász,Gergely Székely Pdf

This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.

Scientific Computing with Mathematica®

Addolorata Marasco,Antonio Romano
Scientific Computing with Mathematica Book PDF

Author : Addolorata Marasco,Antonio Romano
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201519

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Scientific Computing with Mathematica® by Addolorata Marasco,Antonio Romano Pdf

Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica. Topics and Features:*Explains how to use the Mathematica package ODE.m to support qualitative and quantitative problem solving *End-of- chapter exercise sets incorporating the use of Mathematica programs *Detailed description and explanation of the mathematical procedures underlying the programs written in Mathematica *Appendix describing the use of ten notebooks to guide the reader through all the exercises. This book is an essential text/reference for students, graduates and practitioners in applied mathematics and engineering interested in ODE's problems in both the qualitative and quantitative description of solutions with the Mathematica program. It is also suitable as a self-

Elements of Numerical Relativity and Relativistic Hydrodynamics

Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas
Elements of Numerical Relativity and Relativistic Hydrodynamics Book PDF

Author : Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 51,8 Mb
Release : 2009-07-24
Category : Science
ISBN : 9783642011634

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Elements of Numerical Relativity and Relativistic Hydrodynamics by Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas Pdf

Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.

Computational Physics - A Practical Introduction to Computational Physics and Scientific Computing (using C++), Vol. II

Konstantinos Anagnostopoulos
Computational Physics A Practical Introduction to Computational Physics and Scientific Computing using C Vol II Book PDF

Author : Konstantinos Anagnostopoulos
Publisher : Lulu.com
Page : 393 pages
File Size : 44,7 Mb
Release : 2016-12-06
Category : Science
ISBN : 9781365583384

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Computational Physics - A Practical Introduction to Computational Physics and Scientific Computing (using C++), Vol. II by Konstantinos Anagnostopoulos Pdf

This book is an introduction to the computational methods used in physics and other related scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. It assumes no prior knowledge of numerical analysis, programming or computers and teaches whatever is necessary for the solution of the problems addressed in the text. C++ is used for programming the core programs and data analysis is performed using the powerful tools of the GNU/Linux environment. All the necessary software is open source and freely available. The book starts with very simple problems in particle motion and ends with an in-depth discussion of advanced techniques used in Monte Carlo simulations in statistical mechanics. The level of instruction rises slowly, while discussing problems like the diffusion equation, electrostatics on the plane, quantum mechanics and random walks.

Relativity, Gravitation, Cosmology

Valeri V. Dvoeglazov
Relativity Gravitation Cosmology Book PDF

Author : Valeri V. Dvoeglazov
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 51,7 Mb
Release : 2015-12
Category : Quantum cosmology
ISBN : 1634837894

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Relativity, Gravitation, Cosmology by Valeri V. Dvoeglazov Pdf

Considering mathematical questions of relativity theory, relations to modern astrophysics, as well as some conceptual foundations, this book includes papers by R. Cahill, J.G. Hartnett, F. Cardone, A. Marrani and R. Mignani, J. Dunning-Davies, A. Gutierrez-Rodriguez, A. Vankov, P. O'Donell & others.

Recent Advances in Scientific Computing and Applications

Jichun Li,Hongtao Yang,Eric Alexander Machorro
Recent Advances in Scientific Computing and Applications Book PDF

Author : Jichun Li,Hongtao Yang,Eric Alexander Machorro
Publisher : American Mathematical Soc.
Page : 397 pages
File Size : 44,8 Mb
Release : 2013-04-24
Category : Mathematics
ISBN : 9780821887370

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Recent Advances in Scientific Computing and Applications by Jichun Li,Hongtao Yang,Eric Alexander Machorro Pdf

This volume contains the proceedings of the Eighth International Conference on Scientific Computing and Applications, held April 1-4, 2012, at the University of Nevada, Las Vegas. The papers in this volume cover topics such as finite element methods, multiscale methods, finite difference methods, spectral methods, collocation methods, adaptive methods, parallel computing, linear solvers, applications to fluid flow, nano-optics, biofilms, finance, magnetohydrodynamics flow, electromagnetic waves, the fluid-structure interaction problem, and stochastic PDEs. This book will serve as an excellent reference for graduate students and researchers interested in scientific computing and its applications.

Elements of Numerical Relativity

Carles Bona,Carlos Palenzuela-Luque
Elements of Numerical Relativity Book PDF

Author : Carles Bona,Carlos Palenzuela-Luque
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 42,5 Mb
Release : 2005-07-07
Category : Science
ISBN : 3540257799

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Elements of Numerical Relativity by Carles Bona,Carlos Palenzuela-Luque Pdf

Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.

A First Course in Scientific Computing

Rubin Landau,Robyn Wangberg
A First Course in Scientific Computing Book PDF

Author : Rubin Landau,Robyn Wangberg
Publisher : Princeton University Press
Page : 507 pages
File Size : 54,7 Mb
Release : 2005-05
Category : Computers
ISBN : 9780691121833

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A First Course in Scientific Computing by Rubin Landau,Robyn Wangberg Pdf

Mathematica, Fortran90, Maple, and Java on the accompanying CD-ROM in an interactive workbook format.

Numerical Relativity: Starting from Scratch

Thomas W. Baumgarte,Stuart L. Shapiro
Numerical Relativity Starting from Scratch Book PDF

Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 235 pages
File Size : 41,8 Mb
Release : 2021-04-08
Category : Mathematics
ISBN : 9781108844116

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Numerical Relativity: Starting from Scratch by Thomas W. Baumgarte,Stuart L. Shapiro Pdf

A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.

Computer Science and Scientific Computing

James M. Ortega
Computer Science and Scientific Computing Book PDF

Author : James M. Ortega
Publisher : Elsevier
Page : 316 pages
File Size : 53,6 Mb
Release : 2014-05-10
Category : Reference
ISBN : 9781483272481

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Computer Science and Scientific Computing by James M. Ortega Pdf

Computer Science and Scientific Computing contains the proceedings of the Third ICASE Conference on Scientific Computing held in Williamsburg, Virginia, on April l and 2, 1976, under the auspices of the Institute for Computer Applications in Systems Engineering at the NASA Langley Research Center. The conference provided a forum for reviewing all the aspects of scientific computing and covered topics ranging from computer-aided design (CAD) and computer science technology to the design of large hydrodynamics codes. Case studies in reliable computing are also presented. Comprised of 13 chapters, this book begins with an introduction to the use of the hierarchical family concept in the development of scientific programming systems. The discussion then turns to the data structures of scientific computing and their representation and management; some important CAD capabilities required to support aerospace design in the areas of interactive support, information management, and computer hardware advances as well as some computer science developments which may contribute significantly to making such capabilities possible; and the use of symbolic computation systems for problem solving in scientific research. Subsequent chapters deal with computer applications in astrophysics; the possibility of computing turbulence and numerical wind tunnels; and the basis for a general-purpose program for finite element analysis. Software tools for computer graphics are also considered. This monograph will be of value to scientists, systems designers and engineers, and students in computer science who have an interest in the subject of scientific computing.