Local Error Estimates For Discontinuous Solutions Of Nonlinear Hyperbolic Equations

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Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations

Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722343682
Total Pages : 26 pages
Book Rating : 4.3/5 (436 download)

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Book Synopsis Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations by : National Aeronautics and Space Administration (NASA)

Download or read book Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-05 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let u(x, t) be the possibly discontinuous entropy solution of a nonlinear scalar conservation law with smooth initial data. Suppose u sub epsilon(x, t) is the solution of an approximate viscosity regularization, where epsilon greater than 0 is the small viscosity amplitude. It is shown that by post-processing the small viscosity approximation u sub epsilon, pointwise values of u and its derivatives can be recovered with an error as close to epsilon as desired. The analysis relies on the adjoint problem of the forward error equation, which in this case amounts to a backward linear transport with discontinuous coefficients. The novelty of this approach is to use a (generalized) E-condition of the forward problem in order to deduce a W(exp 1, infinity) energy estimate for the discontinuous backward transport equation; this, in turn, leads one to an epsilon-uniform estimate on moments of the error u(sub epsilon) - u. This approach does not follow the characteristics and, therefore, applies mutatis mutandis to other approximate solutions such as E-difference schemes. Tadmor, Eitan Unspecified Center NAS1-18605

Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations

Author : Institute for Computer Applications in Science and Engineering
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations by : Institute for Computer Applications in Science and Engineering

Download or read book Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1989 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Numerical Methods for Hyperbolic Problems

Author : Remi Abgrall
Publisher : Elsevier
ISBN 13 : 044463911X
Total Pages : 612 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Handbook of Numerical Methods for Hyperbolic Problems by : Remi Abgrall

Download or read book Handbook of Numerical Methods for Hyperbolic Problems written by Remi Abgrall and published by Elsevier. This book was released on 2017-01-16 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Author : B. Cockburn
Publisher : Springer
ISBN 13 : 3540498044
Total Pages : 446 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advanced Numerical Approximation of Nonlinear Hyperbolic Equations by : B. Cockburn

Download or read book Advanced Numerical Approximation of Nonlinear Hyperbolic Equations written by B. Cockburn and published by Springer. This book was released on 2006-11-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hyperbolic Problems: Theory, Numerics, Applications

Author : Heinrich Freistühler
Publisher : Birkhäuser
ISBN 13 : 3034883722
Total Pages : 471 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Heinrich Freistühler

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Heinrich Freistühler and published by Birkhäuser. This book was released on 2012-12-06 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

Author : Andrea Donato
Publisher : Springer Science & Business Media
ISBN 13 : 3322878716
Total Pages : 623 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects by : Andrea Donato

Download or read book Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects written by Andrea Donato and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hyperbolic Problems: Theory, Numerics, Applications

Author : Michael Fey
Publisher : Birkhäuser
ISBN 13 : 3034887248
Total Pages : 514 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Michael Fey

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Michael Fey and published by Birkhäuser. This book was released on 2012-12-06 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: [Infotext]((Kurztext))These are the proceedings of the 7th International Conference on Hyperbolic Problems, held in Zürich in February 1998. The speakers and contributors have been rigorously selected and present the state of the art in this field. The articles, both theoretical and numerical, encompass a wide range of applications, such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics. ((Volltext))These proceedings contain, in two volumes, approximately one hundred papers presented at the conference on hyperbolic problems, which has focused to a large extent on the laws of nonlinear hyperbolic conservation. Two-fifths of the papers are devoted to mathematical aspects such as global existence, uniqueness, asymptotic behavior such as large time stability, stability and instabilities of waves and structures, various limits of the solution, the Riemann problem and so on. Roughly the same number of articles are devoted to numerical analysis, for example stability and convergence of numerical schemes, as well as schemes with special desired properties such as shock capturing, interface fitting and high-order approximations to multidimensional systems. The results in these contributions, both theoretical and numerical, encompass a wide range of applications such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

Hyperbolic Problems: Theory, Numerics, Applications

Author : Thomas Y. Hou
Publisher : Springer Science & Business Media
ISBN 13 : 3642557112
Total Pages : 946 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Thomas Y. Hou

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Thomas Y. Hou and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 25-30, 2002. The conference was the ninth meeting in the bi-annual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.-P. Liu, B. Perthame, C.-W. Shu, B. Sjögreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multi-scale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multi-component fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in time-dependent problems governed by hyperbolic equations.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hyperbolic Problems: Theory, Numerics, Applications

Author : Rolf Jeltsch
Publisher : Birkhäuser
ISBN 13 : 3034887205
Total Pages : 503 pages
Book Rating : 4.0/5 (348 download)

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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:

Monthly Catalog of United States Government Publications

Author :
Publisher :
ISBN 13 :
Total Pages : 1200 pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis Monthly Catalog of United States Government Publications by :

Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Author : B. Cockburn
Publisher : C.I.M.E. Foundation Subseries
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advanced Numerical Approximation of Nonlinear Hyperbolic Equations by : B. Cockburn

Download or read book Advanced Numerical Approximation of Nonlinear Hyperbolic Equations written by B. Cockburn and published by C.I.M.E. Foundation Subseries. This book was released on 1998-11-18 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

Author : Xiaobing Feng
Publisher : Springer Science & Business Media
ISBN 13 : 3319018183
Total Pages : 289 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations by : Xiaobing Feng

Download or read book Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations written by Xiaobing Feng and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a particular theme or direction of current research. Derived from the 2012 Barrett Lectures at the University of Tennessee, the papers reflect the state of the field today and point toward possibilities for future inquiry. The longer survey lectures, delivered by Franco Brezzi and Chi-Wang Shu, respectively, focus on theoretical aspects of discontinuous Galerkin methods for elliptic and evolution problems. Other papers apply DG methods to cases involving radiative transport equations, error estimates, and time-discrete higher order ALE functions, among other areas. Combining focused case studies with longer sections of expository discussion, this book will be an indispensable reference for researchers and students working with discontinuous Galerkin finite element methods and its applications.

Innovative Algorithms and Analysis

Author : Laurent Gosse
Publisher : Springer
ISBN 13 : 3319492624
Total Pages : 362 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Innovative Algorithms and Analysis by : Laurent Gosse

Download or read book Innovative Algorithms and Analysis written by Laurent Gosse and published by Springer. This book was released on 2016-05-26 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed: 1. Lagrangian discretizations and wavefront tracking for synchronization models; 2. Astrophysics computations and post-Newtonian approximations; 3. Hyperbolic balance laws and corrugated isometric embeddings; 4. “Caseology” techniques for kinetic equations; 5. Tentative computations of compressible non-standard solutions; 6. Entropy dissipation, convergence rates and inverse design issues. Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the “state of the art” in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references.

International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999

Author : Bernold Fiedler
Publisher : World Scientific
ISBN 13 : 9789810249885
Total Pages : 846 pages
Book Rating : 4.2/5 (498 download)

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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

Hyperbolic Problems

Author : Michael Fey
Publisher : Springer Science & Business Media
ISBN 13 : 9783764360801
Total Pages : 530 pages
Book Rating : 4.3/5 (68 download)

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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:

Equadiff 99 (In 2 Volumes) - Proceedings Of The International Conference On Differential Equations

Author : Bernold Fiedler
Publisher : World Scientific
ISBN 13 : 9814522163
Total Pages : 838 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Equadiff 99 (In 2 Volumes) - Proceedings Of The International Conference On Differential Equations by : Bernold Fiedler

Download or read book Equadiff 99 (In 2 Volumes) - Proceedings Of The International Conference On Differential Equations written by Bernold Fiedler and published by World Scientific. This book was released on 2000-09-05 with total page 838 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.