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On The Conservation And Convergence To Weak Solutions Of Global Schemes
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781721293599 Total Pages :34 pages Book Rating :4.2/5 (935 download)
Book Synopsis On the Conservation and Convergence to Weak Solutions of Global Schemes by : National Aeronautics and Space Administration (NASA)
Download or read book On the Conservation and Convergence to Weak Solutions of Global Schemes written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-19 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we discuss the issue of conservation and convergence to weak solutions of several global schemes, including the commonly used compact schemes and spectral collocation schemes, for solving hyperbolic conservation laws. It is shown that such schemes, if convergent boundedly almost everywhere, will converge to weak solutions. The results are extensions of the classical Lax-Wendroff theorem concerning conservative schemes. Carpenter, Mark H. and Gottlieb, David and Shu, Chi-Wang Langley Research Center NASA/CR-2001-211423, NAS 1.26:211423, ICASE-2001-44
Book Synopsis On the Conservation and Convergence to Weak Solutions of Global Schemes by : Mark H. Carpenter
Download or read book On the Conservation and Convergence to Weak Solutions of Global Schemes written by Mark H. Carpenter and published by . This book was released on 2001 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ICASE Semiannual Report written by and published by . This book was released on 2002 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report summarizes research conducted at ICASE in applied mathematics, computer science, fluid mechanics, and structures and material sciences during the period October 1, 2000 through March 31, 2001.
Book Synopsis Nodal Discontinuous Galerkin Methods by : Jan S. Hesthaven
Download or read book Nodal Discontinuous Galerkin Methods written by Jan S. Hesthaven and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.
Book Synopsis A multidomain spectral method for supersonic reactive flows by :
Download or read book A multidomain spectral method for supersonic reactive flows written by and published by DIANE Publishing. This book was released on with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods for Conservation Laws by : Jan S. Hesthaven
Download or read book Numerical Methods for Conservation Laws written by Jan S. Hesthaven and published by SIAM. This book was released on 2018-01-30 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research. Numerical Methods for Conservation Laws: From Analysis to Algorithms: offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than four decades of development; discusses classic results on monotone and finite difference/finite volume schemes, but emphasizes the successful development of high-order accurate methods for hyperbolic conservation laws; addresses modern concepts of TVD and entropy stability, strongly stable Runge-Kutta schemes, and limiter-based methods before discussing essentially nonoscillatory schemes, discontinuous Galerkin methods, and spectral methods; explores algorithmic aspects of these methods, emphasizing one- and two-dimensional problems and the development and analysis of an extensive range of methods; includes MATLAB software with which all main methods and computational results in the book can be reproduced; and demonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons. Code and other supplemental material are available online at www.siam.org/books/cs18.
Book Synopsis Proceedings of the Third International Colloquium on Numerical Analysis by : D. Bainov
Download or read book Proceedings of the Third International Colloquium on Numerical Analysis written by D. Bainov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Proceedings of the Third International Colloquium on Numerical Analysis".
Book Synopsis Multifield Problems in Solid and Fluid Mechanics by : Rainer Helmig
Download or read book Multifield Problems in Solid and Fluid Mechanics written by Rainer Helmig and published by Springer Science & Business Media. This book was released on 2006-11-28 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of the research projects within the SFB 404 "Mehrfeldprobleme in der Kontinuumsmechanik". The book is for researchers and graduate students in applied mechanics and civil engineering.
Book Synopsis Property-preserving Numerical Schemes For Conservation Laws by : Dmitri Kuzmin
Download or read book Property-preserving Numerical Schemes For Conservation Laws written by Dmitri Kuzmin and published by World Scientific. This book was released on 2023-08-28 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and/or essentially nonoscillatory reconstructions.An introduction to classical nonlinear stabilization approaches is given in the simple context of one-dimensional finite volume discretizations. Subsequent chapters of Part I are focused on recent extensions to continuous and discontinuous Galerkin methods. Many of the algorithms presented in these chapters were developed by the authors and their collaborators. Part II gives a deeper insight into the mathematical theory of property-preserving numerical schemes. It begins with a review of the convergence theory for finite volume methods and ends with analysis of algebraic flux correction schemes for finite elements. In addition to providing ready-to-use algorithms, this text explains the design principles behind such algorithms and shows how to put theory into practice. Although the book is based on lecture notes written for an advanced graduate-level course, it is also aimed at senior researchers who develop and analyze numerical methods for hyperbolic problems.
Book Synopsis Numerical Methods for Conservation Laws by : LEVEQUE
Download or read book Numerical Methods for Conservation Laws written by LEVEQUE and published by Birkhäuser. This book was released on 2013-11-11 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Fluid Dynamics Review 1998 (In 2 Volumes) by : Mohamed M Hafez
Download or read book Computational Fluid Dynamics Review 1998 (In 2 Volumes) written by Mohamed M Hafez and published by World Scientific. This book was released on 1998-11-20 with total page 1169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of CFD Review was published in 1995. The purpose of this new publication is to present comprehensive surveys and review articles which provide up-to-date information about recent progress in computational fluid dynamics, on a regular basis. Because of the multidisciplinary nature of CFD, it is difficult to cope with all the important developments in related areas. There are at least ten regular international conferences dealing with different aspects of CFD.It is a real challenge to keep up with all these activities and to be aware of essential and fundamental contributions in these areas. It is hoped that CFD Review will help in this regard by covering the state-of-the-art in this field.The present book contains sixty-two articles written by authors from the US, Europe, Japan and China, covering the main aspects of CFD. There are five sections: general topics, numerical methods, flow physics, interdisciplinary applications, parallel computation and flow visualization. The section on numerical methods includes grids, schemes and solvers, while that on flow physics includes incompressible and compressible flows, hypersonics and gas kinetics as well as transition and turbulence. This book should be useful to all researchers in this fast-developing field.
Book Synopsis Hyperbolic Problems by : Michael Fey
Download or read book Hyperbolic Problems written by Michael Fey and published by Springer Science & Business Media. This book was released on 1999 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Rolf Jeltsch
Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Rolf Jeltsch and published by Birkhäuser. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computation Of Differential Equations And Dynamical Systems by : Zhong-ci Shi
Download or read book Computation Of Differential Equations And Dynamical Systems written by Zhong-ci Shi and published by World Scientific. This book was released on 1993-10-25 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditional quantum theory has a very rigid structure, making it difficult to accommodate new properties emerging from novel systems. This book presents a flexible and unified theory for physical systems, from micro and macro quantum to classical. This is achieved by incorporating superselection rules and maximal symmetric operators into the theory. The resulting theory is applicable to classical, microscopic quantum and non-orthodox mixed quantum systems of which macroscopic quantum systems are examples. A unified formalism also greatly facilitates the discussion of interactions between these systems. A scheme of quantization by parts is introduced, based on the mathematics of selfadjoint and maximal symmetric extensions of symmetric operators, to describe point interactions. The results are applied to treat superconducting quantum circuits in various configurations.This book also discusses various topics of interest such as the asymptotic treatment of quantum state preparation and quantum measurement, local observables and local values, Schrödinger's cat states in superconducting systems, and a path space formulation of quantum mechanics.This self-contained book is complete with a review of relevant geometric and operator theories, for example, vector fields and operators, symmetric operators and their maximal symmetric extensions, direct integrals of Hilbert spaces and operators./a
Book Synopsis Recent Advances in Partial Differential Equations, Venice 1996 by : Peter D. Lax
Download or read book Recent Advances in Partial Differential Equations, Venice 1996 written by Peter D. Lax and published by American Mathematical Soc.. This book was released on 1998 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lax and Nirenberg are two of the most distinguished mathematicians of our times. Their work on partial differential equations (PDEs) over the last half-century has dramatically advanced the subject and has profoundly influenced the course of mathematics. A huge part of the development in PDEs during this period has either been through their work, motivated by it or achieved by their postdocs and students. A large number of mathematicians honored these two exceptional scientists in a week-long conference in Venice (June 1996) on the occasion of their 70th birthdays. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up solutions, conservation laws, Hamiltonian systems and others. The conference served as a forum for the dissemination of new scientific ideas and discoveries and enhanced scientific communication by bringing together such a large number of scientists working in related fields. THe event allowed the international mathematics community to honor two of its outstanding members.
Book Synopsis International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 by : Bernold Fiedler
Download or read book International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 written by Bernold Fiedler and published by World Scientific. This book was released on 2000 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences
Book Synopsis Handbook of Differential Equations: Evolutionary Equations by : C.M. Dafermos
Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Gulf Professional Publishing. This book was released on 2005-11-30 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous, and in depth surveys on the most important aspects of the present theory.
