Numerical Methods In Astrophysics

Author : Peter Bodenheimer,Gregory P. Laughlin,Michal Rozyczka,Tomasz Plewa,Harold. W Yorke,Harold W. Yorke
Publisher : CRC Press
Page : 360 pages
File Size : 45,7 Mb
Release : 2006-12-13
Category : Science
ISBN : 0750308834

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Numerical Methods in Astrophysics by Peter Bodenheimer,Gregory P. Laughlin,Michal Rozyczka,Tomasz Plewa,Harold. W Yorke,Harold W. Yorke Pdf

Numerical Methods in Astrophysics: An Introduction outlines various fundamental numerical methods that can solve gravitational dynamics, hydrodynamics, and radiation transport equations. This resource indicates which methods are most suitable for particular problems, demonstrates what the accuracy requirements are in numerical simulations, and suggests ways to test for and reduce the inevitable negative effects. After an introduction to the basic equations and derivations, the book focuses on practical applications of the numerical methods. It explores hydrodynamic problems in one dimension, N-body particle dynamics, smoothed particle hydrodynamics, and stellar structure and evolution. The authors also examine advanced techniques in grid-based hydrodynamics, evaluate the methods for calculating the gravitational forces in an astrophysical system, and discuss specific problems in grid-based methods for radiation transfer. The book incorporates brief user instructions and a CD-ROM of the numerical codes, allowing readers to experiment with the codes to suit their own needs. With numerous examples and sample problems that cover a wide range of current research topics, this highly practical guide illustrates how to solve key astrophysics problems, providing a clear introduction for graduate and undergraduate students as well as researchers and professionals.

Author : Peter Bodenheimer,Gregory P. Laughlin,Michal Rozyczka,Tomasz Plewa,Harold. W Yorke,Harold W. Yorke
Publisher : Taylor & Francis
Page : 344 pages
File Size : 46,5 Mb
Release : 2006-12-13
Category : Science
ISBN : 9781420011869

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Numerical Methods in Astrophysics by Peter Bodenheimer,Gregory P. Laughlin,Michal Rozyczka,Tomasz Plewa,Harold. W Yorke,Harold W. Yorke Pdf

Numerical Methods in Astrophysics: An Introduction outlines various fundamental numerical methods that can solve gravitational dynamics, hydrodynamics, and radiation transport equations. This resource indicates which methods are most suitable for particular problems, demonstrates what the accuracy requirements are in numerical simulations, a

Author : Peter Bodenheimer,Gregory P. Laughlin,Tomasz Plewa,Harold W. Yorke,Michal Rozyczka
Publisher : CRC Press
Page : 400 pages
File Size : 48,6 Mb
Release : 2021-06-30
Category : Electronic
ISBN : 1498725627

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Numerical Methods in Astrophysics by Peter Bodenheimer,Gregory P. Laughlin,Tomasz Plewa,Harold W. Yorke,Michal Rozyczka Pdf

Author : Randall J. LeVeque,Dimitri Mihalas,E.A. Dorfi,Ewald Müller
Publisher : Springer Science & Business Media
Page : 523 pages
File Size : 50,7 Mb
Release : 2006-04-18
Category : Science
ISBN : 9783540316329

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Computational Methods for Astrophysical Fluid Flow by Randall J. LeVeque,Dimitri Mihalas,E.A. Dorfi,Ewald Müller Pdf

This book leads directly to the most modern numerical techniques for compressible fluid flow, with special consideration given to astrophysical applications. Emphasis is put on high-resolution shock-capturing finite-volume schemes based on Riemann solvers. The applications of such schemes, in particular the PPM method, are given and include large-scale simulations of supernova explosions by core collapse and thermonuclear burning and astrophysical jets. Parts two and three treat radiation hydrodynamics. The power of adaptive (moving) grids is demonstrated with a number of stellar-physical simulations showing very crispy shock-front structures.

Author : Wolfram Schmidt,Marcel Völschow
Publisher : Springer Nature
Page : 250 pages
File Size : 52,7 Mb
Release : 2021-07-14
Category : Science
ISBN : 9783030703479

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Numerical Python in Astronomy and Astrophysics by Wolfram Schmidt,Marcel Völschow Pdf

This book provides a solid foundation in the Python programming language, numerical methods, and data analysis, all embedded within the context of astronomy and astrophysics. It not only enables students to learn programming with the aid of examples from these fields but also provides ample motivation for engagement in independent research. The book opens by outlining the importance of computational methods and programming algorithms in contemporary astronomical and astrophysical research, showing why programming in Python is a good choice for beginners. The performance of basic calculations with Python is then explained with reference to, for example, Kepler’s laws of planetary motion and gravitational and tidal forces. Here, essential background knowledge is provided as necessary. Subsequent chapters are designed to teach the reader to define and use important functions in Python and to utilize numerical methods to solve differential equations and landmark dynamical problems in astrophysics. Finally, the analysis of astronomical data is discussed, with various hands-on examples as well as guidance on astronomical image analysis and applications of artificial neural networks.

Author : Richard L. Bowers,James Ricker Wilson
Publisher : Jones & Bartlett Publishers
Page : 730 pages
File Size : 50,9 Mb
Release : 1991
Category : Astrophysics
ISBN : UCAL:B4359620

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Numerical Modeling in Applied Physics and Astrophysics by Richard L. Bowers,James Ricker Wilson Pdf

Author : Alejando L. Garcia
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 50,6 Mb
Release : 2015-06-06
Category : Differential equations, Partial
ISBN : 1514136686

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Numerical Methods for Physics by Alejando L. Garcia Pdf

This book covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics -including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Now language-independent. Features attractive new 3-D graphics. Offers new and significantly revised exercises. Replaces FORTRAN listings with C++, with updated versions of the FORTRAN programs now available on-line. Devotes a third of the book to partial differential equations-e.g., Maxwell's equations, the diffusion equation, the wave equation, etc. This numerical analysis book is designed for the programmer with a physics background. Previously published by Prentice Hall / Addison-Wesley

Author : Bodenheimer Peter Staff
Publisher : Unknown
Page : 40 pages
File Size : 52,9 Mb
Release : 2006-12
Category : Electronic
ISBN : 1420054651

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Solutions Manual for Numerical Methods in Astrophysics an Introdu by Bodenheimer Peter Staff Pdf

Author : Simon Širca,Martin Horvat
Publisher : Springer
Page : 880 pages
File Size : 41,9 Mb
Release : 2018-06-21
Category : Science
ISBN : 9783319786193

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Computational Methods in Physics by Simon Širca,Martin Horvat Pdf

This book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics background, while less stress is given to the explanation of individual algorithms. The readers are encouraged to develop a certain amount of skepticism and scrutiny instead of blindly following readily available commercial tools. The second edition has been enriched by a chapter on inverse problems dealing with the solution of integral equations, inverse Sturm-Liouville problems, as well as retrospective and recovery problems for partial differential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogorov-Smirnov test; it demonstrates the key concepts in solving stiff differential equations and the asymptotics of Sturm-Liouville eigenvalues and eigenfunctions. Among other updates, it also presents the techniques of state-space reconstruction, methods to calculate the matrix exponential, generate random permutations and compute stable derivatives.

Author : Toshi Tajima
Publisher : CRC Press
Page : 528 pages
File Size : 49,7 Mb
Release : 2018-03-14
Category : Science
ISBN : 9780429970023

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Computational Plasma Physics by Toshi Tajima Pdf

The physics of plasmas is an extremely rich and complex subject as the variety of topics addressed in this book demonstrates. This richness and complexity demands new and powerful techniques for investigating plasma physics. An outgrowth from his graduate course teaching, now with corrections, Tajima's text provides not only a lucid introduction to computational plasma physics, but also offers the reader many examples of the way numerical modeling, properly handled, can provide valuable physical understanding of the nonlinear aspects so often encountered in both laboratory and astrophysical plasmas. Included here are computational methods for modern nonlinear physics as applied to hydrodynamic turbulence, solitons, fast reconnection of magnetic fields, anomalous transports, dynamics of the sun, and more. The text contains examples of problems now solved using computational techniques including those concerning finite-size particles, spectral techniques, implicit differencing, gyrokinetic approaches, and particle simulation.

Author : Alex Gezerlis
Publisher : Cambridge University Press
Page : 706 pages
File Size : 42,8 Mb
Release : 2023-05-31
Category : Science
ISBN : 9781009303842

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Numerical Methods in Physics with Python by Alex Gezerlis Pdf

Bringing together idiomatic Python programming, foundational numerical methods, and physics applications, this is an ideal standalone textbook for courses on computational physics. All the frequently used numerical methods in physics are explained, including foundational techniques and hidden gems on topics such as linear algebra, differential equations, root-finding, interpolation, and integration. The second edition of this introductory book features several new codes and 140 new problems (many on physics applications), as well as new sections on the singular-value decomposition, derivative-free optimization, Bayesian linear regression, neural networks, and partial differential equations. The last section in each chapter is an in-depth project, tackling physics problems that cannot be solved without the use of a computer. Written primarily for students studying computational physics, this textbook brings the non-specialist quickly up to speed with Python before looking in detail at the numerical methods often used in the subject.

Author : Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 47,6 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.

Author : Shoken M. Miyama,Kohji Tomisaka,Tomoyuki Hanawa
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401147804

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Numerical Astrophysics by Shoken M. Miyama,Kohji Tomisaka,Tomoyuki Hanawa Pdf

These are the proceedings of international conference on Numerical As trophysics 1998 (NAP98), held at National Olympic Memorial Youth Cen ter, in Tokyo, Japan in the period of March 10 - 13, 1998, and hosted by the National Astronomical Observatory, Japan (NAOJ). In the last decade numerical simulations have grown up as a major tool for astrophysics. Numerical simulations give us invaluable informa tion on complex systems and physical processes under extreme conditions which can be neither realized by experiments nor directly observed. Super computers and special purpose computers may work as very large telescopes and special purpose telescopes for theoretical astrophysics, respectively. Nu merical astrophysics ranks with other tool-oriented astronomy such as ra dio astronomy, infrared astronomy, ultraviolet astronomy, X-ray astronomy, and ')'-ray astronomy. This conference, NAP98, was planned to explore recent advances in astrophysics aided by numerical simulations. The subjects of the confer ence included the large-scale structure formation, galaxy formation and evolution, star and planets formation, accretion disks, jets, gravitational wave emission, and plasma physics. NAP98 had also sessions on numerical methods and computer science. The conference was attended by 184 sci entists from 21 countries. We enjoyed excellent talks, posters, videos, and discussions: there are 40 oral presentations, 96 posters and 16 video pre sentations. We hope that these proceedings and accompanying CD-ROM replay the friendly but inspiring atmosphere of the conference.

Author : George B. Rybicki,Alan P. Lightman
Publisher : John Wiley & Sons
Page : 400 pages
File Size : 53,7 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527618187

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Radiative Processes in Astrophysics by George B. Rybicki,Alan P. Lightman Pdf

Radiative Processes in Astrophysics: This clear, straightforward, and fundamental introduction is designed to present-from a physicist's point of view-radiation processes and their applications to astrophysical phenomena and space science. It covers such topics as radiative transfer theory, relativistic covariance and kinematics, bremsstrahlung radiation, synchrotron radiation, Compton scattering, some plasma effects, and radiative transitions in atoms. Discussion begins with first principles, physically motivating and deriving all results rather than merely presenting finished formulae. However, a reasonably good physics background (introductory quantum mechanics, intermediate electromagnetic theory, special relativity, and some statistical mechanics) is required. Much of this prerequisite material is provided by brief reviews, making the book a self-contained reference for workers in the field as well as the ideal text for senior or first-year graduate students of astronomy, astrophysics, and related physics courses. Radiative Processes in Astrophysics also contains about 75 problems, with solutions, illustrating applications of the material and methods for calculating results. This important and integral section emphasizes physical intuition by presenting important results that are used throughout the main text; it is here that most of the practical astrophysical applications become apparent.

Author : Oleg Igorevich Bogoi͡avlenskiĭ
Publisher : Springer
Page : 328 pages
File Size : 46,8 Mb
Release : 1985
Category : Mathematics
ISBN : UOM:39015017167019

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Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics by Oleg Igorevich Bogoi͡avlenskiĭ Pdf