Lecture Notes On Numerical Methods For Hyperbolic Equations PDF Download
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| Author | : Elena Vázquez-Cendón |
| Publisher | : CRC Press |
| Total Pages | : 144 |
| Release | : 2011-05-23 |
| Genre | : Mathematics |
| ISBN | : 0203590627 |
Download Lecture Notes on Numerical Methods for Hyperbolic Equations Book in PDF, ePub and Kindle
This volume contains the lecture notes of the Short Course on Numerical Methods for Hyperbolic Equations (Faculty of Mathematics, University of Santiago de Compostela, Spain, 2-4 July 2011). The course was organized in recognition of Prof. Eleuterio Toro‘s contribution to education and training on numerical methods for partial differential equation
| Author | : B. Cockburn |
| Publisher | : Springer |
| Total Pages | : 446 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540498044 |
Download Advanced Numerical Approximation of Nonlinear Hyperbolic Equations Book in PDF, ePub and Kindle
This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.
| Author | : Randall J. LeVeque |
| Publisher | : Cambridge University Press |
| Total Pages | : 582 |
| Release | : 2002-08-26 |
| Genre | : Mathematics |
| ISBN | : 1139434187 |
Download Finite Volume Methods for Hyperbolic Problems Book in PDF, ePub and Kindle
This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.
| Author | : LEVEQUE |
| Publisher | : Birkhäuser |
| Total Pages | : 221 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 3034851162 |
Download Numerical Methods for Conservation Laws Book in PDF, ePub and Kindle
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
| Author | : Tadeusz Stys |
| Publisher | : |
| Total Pages | : 160 |
| Release | : 2018-02-06 |
| Genre | : Mathematics |
| ISBN | : 9781608056828 |
Download Lecture Notes in Numerical Methods of Differential Equations Book in PDF, ePub and Kindle
This book is designed for science and engineering students taking a course in numerical methods of differential equations. Most of the material in this book has its origin based on lecture courses given to advanced and early postgraduate students. This book covers linear difference equations, linear multistep methods, Runge Kutta methods and finite difference methods for elliptic, parabolic and hyperbolic equations. As a course in numerical analysis it contains a variety of finite difference schemes and efficient algorithms implemented in mathematics. The mathematical modulae attached to each chapter with solutions of practical examples should help readers to understand the text and apply the methods. It is expected that the readers will find theorems with proofs and applications interesting and informative.
| Author | : Elena Vázquez-Cendón |
| Publisher | : CRC Press |
| Total Pages | : 436 |
| Release | : 2012-11-05 |
| Genre | : Mathematics |
| ISBN | : 041562150X |
Download Numerical Methods for Hyperbolic Equations Book in PDF, ePub and Kindle
Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics covered include: • Recent advances in the numerical computation of environmental conservation laws with source terms • Multiphase flow and porous media • Numerical methods in astrophysics • Seismology and geophysics modelling • High order methods for hyperbolic conservation laws • Numerical methods for reactive flows • Finite volume and discontinous Galerkin schemes for stiff source term problems • Methods and models for biomedical problems • Numerical methods for reactive flows The research interest of Eleuterio Toro, born in Chile on 16th July 1946, is reflected in Numerical Methods for Hyperbolic Equations, and focuses on: numerical methods for partial differential equations, with particular emphasis on methods for hyperbolic equations; design and application of new algorithms; hyperbolic partial differential equations as mathematical models of various types of processes; mathematical modelling and simulation of physico/chemical processes that include wave propagation phenomena; modelling of multiphase flows; application of models and methods to real problems. Eleuterio Toro received several honours and distinctions, including the honorary title OBE from Queen Elizabeth II (Buckingham Palace, London 2000); Distinguished Citizen of the City of Carahue (Chile, 2001); Life Fellow, Claire Hall, University of Cambridge (UK, 2003); Fellow of the Indian Society for Shock Wave Research (Bangalore, 2005); Doctor Honoris Causa (Universidad de Santiago de Chile, 2008); William Penney Fellow, University of Cambridge (UK, 2010); Doctor Honoris Causa (Universidad de la Frontera, Chile, 2012). Professor Toro is author of two books, editor of two books and author of more than 260 research works. In the last ten years he has been invited and keynote speaker in more than 100 scientific events. Professor Toro has held many visiting appointments round the world, which include several European countries, Japan, China and USA.
| Author | : Elena Vázquez-Cendón |
| Publisher | : CRC Press |
| Total Pages | : 434 |
| Release | : 2012-11-05 |
| Genre | : Mathematics |
| ISBN | : 020356233X |
Download Numerical Methods for Hyperbolic Equations Book in PDF, ePub and Kindle
Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover
| Author | : Remi Abgrall |
| Publisher | : Elsevier |
| Total Pages | : 612 |
| Release | : 2017-01-16 |
| Genre | : Mathematics |
| ISBN | : 044463911X |
Download Handbook of Numerical Methods for Hyperbolic Problems Book in PDF, ePub and Kindle
Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage
| Author | : Remi Abgrall |
| Publisher | : Elsevier |
| Total Pages | : 668 |
| Release | : 2016-11-17 |
| Genre | : Mathematics |
| ISBN | : 0444637958 |
Download Handbook of Numerical Methods for Hyperbolic Problems Book in PDF, ePub and Kindle
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications Written by leading subject experts in each field who provide breadth and depth of content coverage
| Author | : Carlos Parés |
| Publisher | : Springer |
| Total Pages | : 303 |
| Release | : 2014-07-05 |
| Genre | : Mathematics |
| ISBN | : 3319028391 |
Download Advances in Numerical Simulation in Physics and Engineering Book in PDF, ePub and Kindle
The book is mainly addressed to young graduate students in engineering and natural sciences who start to face numerical simulation, either at a research level or in the field of industrial applications. The main subjects covered are: Biomechanics, Stochastic Calculus, Geophysical flow simulation and Shock-Capturing numerical methods for Hyperbolic Systems of Partial Differential Equations. The book can also be useful to researchers or even technicians working at an industrial environment, who are interested in the state-of-the-art numerical techniques in these fields. Moreover, it gives an overview of the research developed at the French and Spanish universities and in some European scientific institutions. This book can be also useful as a textbook at master courses in Mathematics, Physics or Engineering.
