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Recent Developments In The Numerics Of Nonlinear Hyperbolic Conservation Laws


Recent Developments In The Numerics Of Nonlinear Hyperbolic Conservation Laws
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Recent Developments In The Numerics Of Nonlinear Hyperbolic Conservation Laws


Recent Developments In The Numerics Of Nonlinear Hyperbolic Conservation Laws
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Author : Rainer Ansorge
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-14

Recent Developments In The Numerics Of Nonlinear Hyperbolic Conservation Laws written by Rainer Ansorge and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Technology & Engineering categories.


In January 2012 an Oberwolfach workshop took place on the topic of recent developments in the numerics of partial differential equations. Focus was laid on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.



An Introduction To Recent Developments In Theory And Numerics For Conservation Laws


An Introduction To Recent Developments In Theory And Numerics For Conservation Laws
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Author : Dietmar Kröner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Recent Developments In Theory And Numerics For Conservation Laws written by Dietmar Kröner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The book concerns theoretical and numerical aspects of systems of conservation laws, which can be considered as a mathematical model for the flows of inviscid compressible fluids. Five leading specialists in this area give an overview of the recent results, which include: kinetic methods, non-classical shock waves, viscosity and relaxation methods, a-posteriori error estimates, numerical schemes of higher order on unstructured grids in 3-D, preconditioning and symmetrization of the Euler and Navier-Stokes equations. This book will prove to be very useful for scientists working in mathematics, computational fluid mechanics, aerodynamics and astrophysics, as well as for graduate students, who want to learn about new developments in this area.



Hyperbolic Problems Theory Numerics Applications


Hyperbolic Problems Theory Numerics Applications
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Author : Rolf Jeltsch
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Hyperbolic Problems Theory Numerics Applications written by Rolf Jeltsch and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.




Handbook Of Numerical Methods For Hyperbolic Problems


Handbook Of Numerical Methods For Hyperbolic Problems
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Author : Remi Abgrall
language : en
Publisher: Elsevier
Release Date : 2017-01-16

Handbook Of Numerical Methods For Hyperbolic Problems written by Remi Abgrall and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-16 with Mathematics categories.


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



Recent Developments In Gravitation Proceedings Of The Relativity Meeting 1991


Recent Developments In Gravitation Proceedings Of The Relativity Meeting 1991
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Author : J Ibanez
language : en
Publisher: World Scientific
Release Date : 1992-08-08

Recent Developments In Gravitation Proceedings Of The Relativity Meeting 1991 written by J Ibanez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-08 with categories.


The Relativity Meeting 1991 was devoted to the review of recent developments in gravity theory. Topics ranged from the classical theory of gravity to Quantum Gravity and Cosmology.



Numerical Approximation Of Hyperbolic Systems Of Conservation Laws


Numerical Approximation Of Hyperbolic Systems Of Conservation Laws
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Author : Edwige Godlewski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Numerical Approximation Of Hyperbolic Systems Of Conservation Laws written by Edwige Godlewski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.


This work is devoted to the theory and approximation of nonlinear hyper bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart (1991) (hereafter noted G. R. ), though the present volume can be read independently. This earlier publication, apart from a first chap ter, especially covered the scalar case. Thus, we shall detail here neither the mathematical theory of multidimensional scalar conservation laws nor their approximation in the one-dimensional case by finite-difference con servative schemes, both of which were treated in G. R. , but we shall mostly consider systems. The theory for systems is in fact much more difficult and not at all completed. This explains why we shall mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader's convenience, we shall resume in this Introduction the notions that are necessary for a self-sufficient understanding of this book -the main definitions of hyperbolicity, weak solutions, and entropy present the practical examples that will be thoroughly developed in the following chapters, and recall the main results concerning the scalar case.



Recent Advances In Numerical Methods For Hyperbolic Pde Systems


Recent Advances In Numerical Methods For Hyperbolic Pde Systems
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Author : María Luz Muñoz-Ruiz
language : en
Publisher: Springer Nature
Release Date : 2021-05-25

Recent Advances In Numerical Methods For Hyperbolic Pde Systems written by María Luz Muñoz-Ruiz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-25 with Mathematics categories.


The present volume contains selected papers issued from the sixth edition of the International Conference "Numerical methods for hyperbolic problems" that took place in 2019 in Málaga (Spain). NumHyp conferences, which began in 2009, focus on recent developments and new directions in the field of numerical methods for hyperbolic partial differential equations (PDEs) and their applications. The 11 chapters of the book cover several state-of-the-art numerical techniques and applications, including the design of numerical methods with good properties (well-balanced, asymptotic-preserving, high-order accurate, domain invariant preserving, uncertainty quantification, etc.), applications to models issued from different fields (Euler equations of gas dynamics, Navier-Stokes equations, multilayer shallow-water systems, ideal magnetohydrodynamics or fluid models to simulate multiphase flow, sediment transport, turbulent deflagrations, etc.), and the development of new nonlinear dispersive shallow-water models. The volume is addressed to PhD students and researchers in Applied Mathematics, Fluid Mechanics, or Engineering whose investigation focuses on or uses numerical methods for hyperbolic systems. It may also be a useful tool for practitioners who look for state-of-the-art methods for flow simulation.



Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations


Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations
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Author : B. Cockburn
language : en
Publisher: Springer
Release Date : 2006-11-14

Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations written by B. Cockburn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


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.



Nonlinear Stability Of Finite Volume Methods For Hyperbolic Conservation Laws


Nonlinear Stability Of Finite Volume Methods For Hyperbolic Conservation Laws
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Author : François Bouchut
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-25

Nonlinear Stability Of Finite Volume Methods For Hyperbolic Conservation Laws written by François Bouchut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-25 with Mathematics categories.


The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms





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Author : C. M. Dafermos
language : en
Publisher: 清华大学出版社有限公司
Release Date : 2005

written by C. M. Dafermos and has been published by 清华大学出版社有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Conservation laws (Physics) categories.