Strong Stability Preserving Runge Kutta And Multistep Time Discretizations PDF Download
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| Author | : Sigal Gottlieb |
| Publisher | : World Scientific |
| Total Pages | : 189 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 9814289264 |
Download Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations Book in PDF, ePub and Kindle
This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presents the other properties of these methods which make them desirable (such as low storage, small error coefficients, large linear stability domains). This book is valuable for both researchers studying the field of time-discretizations for PDEs, and the users of such methods.
| Author | : Sigal Gottlieb |
| Publisher | : |
| Total Pages | : 30 |
| Release | : 2000 |
| Genre | : Boundary element methods |
| ISBN | : |
Download Strong Stability Preserving High-order Time Discretization Methods Book in PDF, ePub and Kindle
In this paper we review and further develop a class of strong-stability preserving (SSP) high-order time discretizations for semi-discrete method-of-lines approximations of partial differential equations. Termed TVD (total variation diminishing) time discretizations before this class of high-order time discretization methods preserves the strong-stability properties of first-order Euler time stepping and has proved very useful especially in solving hyperbolic partial differential equations. The new contributions in this paper include the development of optimal explicit SSP linear Runge-Kutta methods, their application to the strong stability of coercive approximations, a systematic study of explicit SSP multi-step methods, and a study of the strong-stability preserving property of implicit Runge-Kutta and multi-step methods.
| Author | : Rolf Jeltsch |
| Publisher | : World Scientific |
| Total Pages | : 228 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 9812709347 |
Download Some Topics in Industrial and Applied Mathematics Book in PDF, ePub and Kindle
The Shanghai Forum on Industrial and Applied Mathematics was organized in May 2006 on the occasion that many famous industrial and applied mathematicians gathered in Shanghai from different countries to participate in the Officers' Meeting and the Board Meeting of the ICIAM (International Council for Industrial and Applied Mathematics). This volume collects the material covered by the majority of the lectures of which reflects panoramically recent results and trends in industrial and applied mathematics. This book will be very useful for graduate students and researchers in industrial and applied mathematics.
| Author | : David Hart |
| Publisher | : |
| Total Pages | : |
| Release | : 2017-07-09 |
| Genre | : |
| ISBN | : 9781450352727 |
Download Proceedings of the Practice and Experience in Advanced Research Computing 2017 on Sustainability, Success and Impact Book in PDF, ePub and Kindle
Practice and Experience in Advanced Research Computing 2017 Jul 09, 2017-Jul 13, 2017 New Orleans, USA. You can view more information about this proceeding and all of ACM�s other published conference proceedings from the ACM Digital Library: http://www.acm.org/dl.
| Author | : Robert M. Kirby |
| Publisher | : Springer |
| Total Pages | : 504 |
| Release | : 2015-11-26 |
| Genre | : Computers |
| ISBN | : 3319198009 |
Download Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 Book in PDF, ePub and Kindle
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2014), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of papers will provide the reader with a snapshot of the state-of-the-art and help initiate new research directions through the extensive biography.
| Author | : Willem Hundsdorfer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 479 |
| Release | : 2013-04-17 |
| Genre | : Technology & Engineering |
| ISBN | : 3662090171 |
Download Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations Book in PDF, ePub and Kindle
Unique book on Reaction-Advection-Diffusion problems
| Author | : H. Lomax |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 256 |
| Release | : 2013-03-09 |
| Genre | : Science |
| ISBN | : 3662046547 |
Download Fundamentals of Computational Fluid Dynamics Book in PDF, ePub and Kindle
The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.
| Author | : A. Iserles |
| Publisher | : Cambridge University Press |
| Total Pages | : 481 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0521734908 |
Download A First Course in the Numerical Analysis of Differential Equations Book in PDF, ePub and Kindle
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
| 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 | : Ronald E. Mickens |
| Publisher | : World Scientific |
| Total Pages | : 268 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9789810241339 |
Download Applications of Nonstandard Finite Difference Schemes Book in PDF, ePub and Kindle
The main purpose of this book is to provide a concise introduction to the methods and philosophy of constructing nonstandard finite difference schemes and illustrate how such techniques can be applied to several important problems. Chapter I gives an overview of the subject and summarizes previous work. Chapters 2 and 3 consider in detail the construction and numerical implementation of schemes for physical problems involving convection-diffusion-reaction equations, that arise in groundwater pollution and scattering of electromagnetic waves using Maxwell's equations. Chapter 4 examines certain mathematical issues related to the nonstandard discretization of competitive and cooperative models for ecology. The application chapters illustrate well the power of nonstandard methods. In particular, for the same accuracy as obtained by standard techniques, larger step sizes can be used. This volume will satisfy the needs of scientists, engineers, and mathematicians who wish to know how to construct nonstandard schemes and see how these are applied to obtain numerical solutions of the differential equations which arise in the study of nonlinear dynamical systems modeling important physical phenomena.
