Numerical Approximation of Hyperbolic Systems of Conservation Laws, Godlewski Edwige, Raviart Pierre-Arnaud

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: 71690.00 T
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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.

Автор: Dafermos Constantine M.
Название: Hyperbolic Conservation Laws in Continuum Physics
ISBN: 3662570114 ISBN-13(EAN): 9783662570111
Издательство: Springer
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Цена: 214280.00 T
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Описание: This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws.

Автор: Kulikovskii, A.G. , Pogorelov, N.V. , Semenov, A
Название: Mathematical Aspects of Numerical Solution of Hyperbolic Systems
ISBN: 0367397730 ISBN-13(EAN): 9780367397739
Издательство: Taylor&Francis
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Цена: 65320.00 T
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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.

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: 137280.00 T
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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.

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: 155230.00 T
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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.

Автор: Helge Holden; Nils H. Risebro
Название: Front Tracking for Hyperbolic Conservation Laws
ISBN: 3642627978 ISBN-13(EAN): 9783642627972
Издательство: Springer
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Цена: 74530.00 T
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Описание: This book offers a detailed, rigorous, and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory to the forefront of research. The text offers extensive examples, exercises with hints and answers and comprehensive appendices.

Автор: Mu?oz-Ruiz
Название: Recent Advances in Numerical Methods for Hyperbolic PDE Systems
ISBN: 3030728528 ISBN-13(EAN): 9783030728526
Издательство: Springer
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Цена: 139750.00 T
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Описание: 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 M?laga (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.

Автор: Muсoz-Ruiz Marнa Luz, Parйs Carlos, Russo Giovanni
Название: Recent Advances in Numerical Methods for Hyperbolic Pde Systems: Numhyp 2019
ISBN: 3030728498 ISBN-13(EAN): 9783030728496
Издательство: Springer
Цена: 139750.00 T
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Описание: Part I: Numerical methods for general problems.- 1 J.M. Gallardo et al., Incomplete Riemann solvers based on functional approximations to the absolute value function.- 2 M. Frank et al., Entropy-based methods for uncertainty quantification of hyperbolic conservation laws.- 3 I. Gomez Bueno et al., Well-balanced reconstruction operator for systems of balance laws: numerical implementation.- 4 V. Michel-Dansac and A. Thomann, On high-precision L?-stable IMEX schemes for scalar hyperbolic multi-scale Equations.- Part II: Numerical methods for speci_c problems.- 5 D. Grapsas et al., A staggered preassure correction numerical scheme to compute a travellimg reactive interface in a partially premixed mixture.- 6 M. Lukacova et al., New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows.- 7 S. Jцns et al., Recent Advances and Complex Applications of the Compressible Ghost-Fluid Method.- 8 J. P. Berberich and C. Klingenberg, Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers.- 9 P. Poullet et al., Residual based method for sediment transport.- Part III: New ow models.- 10 B. B. Dhia et al., Pseudo-compressibility, dispersive model and acoustic waves in shallow water flows.- 11 M. Ali Debyaoui and M. Ersoy, A Generalised Serre-Green-Naghdi equations for variable rectangular open channel hydraulics and its finite volume approximation.

Автор: Constantine M. Dafermos
Название: Hyperbolic Conservation Laws in Continuum Physics
ISBN: 3642242421 ISBN-13(EAN): 9783642242427
Издательство: Springer
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Цена: 125770.00 T
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Описание: This presentation of the theory of hyperbolic conservation laws illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory.

Автор: Rainer Ansorge; Hester Bijl; Andreas Meister; Thom
Название: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
ISBN: 3642437745 ISBN-13(EAN): 9783642437748
Издательство: Springer
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Цена: 241310.00 T
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Описание: This book examines recent developments in the numerics of partial differential equations. It emphasizes methods of high order and applications in computational fluid dynamics.

Автор: Gui-Qiang G. Chen; Helge Holden; Kenneth H. Karlse
Название: Hyperbolic Conservation Laws and Related Analysis with Applications
ISBN: 3662510987 ISBN-13(EAN): 9783662510988
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications.

Автор: Gui-Qiang G. Chen; Helge Holden; Kenneth H. Karlse
Название: Hyperbolic Conservation Laws and Related Analysis with Applications
ISBN: 3642390064 ISBN-13(EAN): 9783642390067
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications.