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Mathematical Aspects of Numerical Solution of Hyperbolic Systems, Kulikovskii, A.G. , Pogorelov, N.V. , Semenov, A


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Автор: Kulikovskii, A.G. , Pogorelov, N.V. , Semenov, A   (А. Куликовский, Н. Погорелов,)
Название:  Mathematical Aspects of Numerical Solution of Hyperbolic Systems
Перевод названия: А. Куликовский, Н. Погорелов, А. Семенов: Математические аспекты численного решения
ISBN: 9780367397739
Издательство: Taylor&Francis
Классификация:
ISBN-10: 0367397730
Обложка/Формат: Paperback
Страницы: 556
Вес: 1.03 кг.
Дата издания: 27.09.2019
Серия: Monographs and Surveys in Pure and Applied Mathematics
Язык: English
Размер: 229 x 152 x 33
Читательская аудитория: Tertiary education (us: college)
Основная тема: Differential Equations
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, magnetohydrodynamics (MHD), shallow water, and solid dynamics equations. This treatment provides-for the first time in book form-a collection of recipes for applying higher-order non-oscillatory shock-capturing schemes to MHD modelling of physical phenomena.

The authors also address a number of original nonclassical problems, such as shock wave propagation in rods and composite materials, ionization fronts in plasma, and electromagnetic shock waves in magnets. They show that if a small-scale, higher-order mathematical model results in oscillations of the discontinuity structure, the variety of admissible discontinuities can exhibit disperse behavior, including some with additional boundary conditions that do not follow from the hyperbolic conservation laws. Nonclassical problems are accompanied by a multiple nonuniqueness of solutions. The authors formulate several selection rules, which in some cases easily allow a correct, physically realizable choice.

This work systematizes methods for overcoming the difficulties inherent in the solution of hyperbolic systems. Its unique focus on applications, both traditional and new, makes Mathematical Aspects of Numerical Solution of Hyperbolic Systems particularly valuable not only to those interested the development of numerical methods, but to physicists and engineers who strive to solve increasingly complicated nonlinear equations.




      Старое издание
Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Автор: Kulikovskii, A.G.
Название: Mathematical Aspects of Numerical Solution of Hyperbolic Systems
ISBN: 0849306086 ISBN-13(EAN): 9780849306082
Издательство: Taylor&Francis
Цена: 33686.00 р.
Наличие на складе: Невозможна поставка.


Handbook of Numerical Methods for Hyperbolic Problems,17

Автор: Abgrall, Remi
Название: Handbook of Numerical Methods for Hyperbolic Problems,17
ISBN: 0444637893 ISBN-13(EAN): 9780444637895
Издательство: Elsevier Science
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Цена: 26781.00 р.
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Описание:

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.

Handbook on Numerical Methods for Hyperbolic Problems,18

Автор: Abgrall, Remi
Название: Handbook on Numerical Methods for Hyperbolic Problems,18
ISBN: 0444639101 ISBN-13(EAN): 9780444639103
Издательство: Elsevier Science
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Цена: 26949.00 р.
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Описание: 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.

One-Dimensional Hyperbolic Conservation Laws and Their Applications

Автор: Coron Jean-Michel, Li Ta-Tsien, Li Yachun
Название: One-Dimensional Hyperbolic Conservation Laws and Their Applications
ISBN: 9813276177 ISBN-13(EAN): 9789813276178
Издательство: World Scientific Publishing
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Цена: 20592.00 р.
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Описание: This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China. This summer school is one of the activities promoted by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA in short). LIASFMA was established jointly by eight institutions in China and France in 2014, which is aimed at providing a platform for some of the leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in the field of applied mathematics. This summer school has the privilege of being the first summer school of the newly established LIASFMA, which makes it significant.

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Автор: Alfio Quarteroni; B. Cockburn; C. Johnson; C.-W. S
Название: Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
ISBN: 3540649778 ISBN-13(EAN): 9783540649779
Издательство: Springer
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Цена: 10754.00 р.
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Описание: 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.

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Автор: Cl?ment Canc?s; Pascal Omnes
Название: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
ISBN: 3319861522 ISBN-13(EAN): 9783319861524
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

PART 4. Hyperbolic Problems. David Iampietro, Frederic Daude, Pascal Galon, and Jean-Marc Herard, A Weighted Splitting Approach For Low-Mach Number Flows.-

Florence Hubert and Remi Tesson, Weno scheme for transport equation on unstructured grids with a DDFV approach.- M.J. Castro, J.M. Gallardo and A. Marquina, New types of Jacobian-free approximate Riemann solvers for hyperbolic systems.- Charles Demay, Christian Bourdarias, Benoıt de Laage de Meux, Stephane Gerbi and Jean-Marc Herard, A fractional step method to simulate mixed flows in pipes with a compressible two-layer model.- Theo Corot, A second order cell-centered scheme for Lagrangian hydrodynamics.- Clement Colas, Martin Ferrand, Jean-Marc Herard, Erwan Le Coupanec and Xavier Martin, An implicit integral formulation for the modeling of inviscid fluid flows in domains containing obstacles.- Christophe Chalons and Maxime Stauffert, A high-order Discontinuous Galerkin Lagrange Projection scheme for the barotropic Euler equations.- Christophe Chalons, Regis Duvigneau and Camilla Fiorini, Sensitivity analysis for the Euler equations in Lagrangian coordinates.- Jooyoung Hahn, Karol Mikula, Peter Frolkovic, and Branislav Basara, Semi-implicit level set method with inflow-based gradient in a polyhedron mesh.- Thierry Goudon, Julie Llobell and Sebastian Minjeaud, A staggered scheme for the Euler equations.- Christian Bourdarias, Stephane Gerbi and Ralph Lteif, A numerical scheme for the propagation of internal waves in an oceanographic model.- Hamza Boukili and Jean-Marc Herard, A splitting scheme for three-phase flow models.- M. J Castro, C. Escalante and T. Morales de Luna, Modelling and simulation of non-hydrostatic shallow flows.- Svetlana Tokareva and Eleuterio Toro, A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow.- Mohamed Boubekeur and Fayssal Benkhaldoun and Mohammed Seaid, GPU accelerated finite volume methods for three-dimensional shallow water flows.- Ward Melis, Thomas Rey and Giovanni Samaey, Projective integration for nonlinear BGK kinetic equations.- Lei Zhang, Jean-Michel Ghidaglia and Anela Kumbaro, Asymptotic preserving property of a semi-implicit method.- Sebastien Boyaval, A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids.- David Coulette, Emmanuel Franck, Philippe Helluy, Michel Mehrenberger, Laurent Navoret, Palindromic Discontinuous Galerkin Method.- M. Lukacova-Medvid'ova, J. Rosemeier, P. Spichtinger and B. Wiebe, IMEX finite volume methods for cloud simulation.- Raimund Burger and Ilja Kroker, Hybrid stochastic Galerkin finite volumes for the diffusively corrected Lighthill-Whitham-Richards traffic model.- Hamed Zakerzadeh, The RS-IMEX scheme for the rotating shallow water equations with the Coriolis force.- Emmanuel Audusse, Minh Hieu Do, Pascal Omnes, Yohan Penel, Analysis of Apparent Topography scheme for the linear wave equation with Coriolis force.- N. Aıssiouene, M-O. Bristeau, E. Godlewski, A. Mangeney, C. Pares and J. Sainte-Marie, Application of a combined finite element - finite volume method to a 2D non-hydrostatic shallow water problem.- Emanuela Abbate, Angelo Iollo and Gabriella Puppo, A relaxation scheme for the simulation of low Mach number flows.- Stefan Vater, Nicole Beisiegel and Jorn Behrens, Comparison of wetting and drying between a RKDG2 method and classical FV based second-order hydrostatic reconstruction.- Anja Jeschke, Stefan Vater and J]orn Behrens, A Discontinuous Galerkin Method for Non-Hydrostatic Shallow Water Flows.- Remi Abgrall and Paola Bacigaluppi, Design of a Second-Order Fully Explicit Residual Distribution Scheme for Compressible Multiphase Flows.- Martin Campos Pinto, An Unstructured Forward-Backward Lagrangian Scheme for Transport Problems.- Nicole Goutal, Minh-Hoang Le and Philippe Ung, A Godunov-type scheme for Shallow Water equations dedicated to simulations of overland flows on stepped slop
Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems

Автор: Zheng, Songmu
Название: Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems
ISBN: 0367448971 ISBN-13(EAN): 9780367448974
Издательство: Taylor&Francis
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Цена: 9492.00 р.
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Описание: This book is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to nonlinear parabolic equations and nonlinear hyperbolic-parabolic coupled systems for both small and large initial data. It presents concepts and facts about Sobolev space.

Hyperbolic Systems with Analytic Coefficients

Автор: Tatsuo Nishitani
Название: Hyperbolic Systems with Analytic Coefficients
ISBN: 3319022725 ISBN-13(EAN): 9783319022727
Издательство: Springer
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Цена: 6986.00 р.
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Описание: With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term.

Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon: Continuous and Approximation

Автор: Lasiecka I., Triggiani Roberto, Lasiecka Irena
Название: Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon: Continuous and Approximation
ISBN: 0521584019 ISBN-13(EAN): 9780521584012
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: Originally published in 2000, this is the second volume of a comprehensive treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Volume 2 presents the optimal control problem over a finite time interval for hyperbolic dynamical systems, including many fascinating results.

Stability and Boundary Stabilization of 1-D Hyperbolic Systems

Автор: Bastin
Название: Stability and Boundary Stabilization of 1-D Hyperbolic Systems
ISBN: 3319320602 ISBN-13(EAN): 9783319320601
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices.The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both full-state and dynamic output feedback in observer-controller form is solved by using a “backstepping” method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in real live applications of boundary feedback control.Stability and Boundary Stabilization of 1-D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering. The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible.

Variable Lebesgue Spaces and Hyperbolic Systems

Автор: Cruz-Uribe David V
Название: Variable Lebesgue Spaces and Hyperbolic Systems
ISBN: 3034808399 ISBN-13(EAN): 9783034808392
Издательство: Springer
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Цена: 3492.00 р.
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Описание: This book features a concise introduction to variable Lebesgue spaces. It includes an easy-to-read introduction to the classical problems as well as to recent developments in the asymptotic theory for hyperbolic equations.


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