Richness and the Classification of Quasilinear Hyperbolic Systems

Richness and the Classification of Quasilinear Hyperbolic Systems PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 20

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Richness and the Classification of Quasilinear Hyperbolic Systems

Richness and the Classification of Quasilinear Hyperbolic Systems PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 20

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Book Description


Quasilinear Hyperbolic Systems and Waves

Quasilinear Hyperbolic Systems and Waves PDF Author: Alan Jeffrey
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 250

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Book Description
"The solution to quasilinear first order hyperbolic systems of equations may be interpretated in terms of waves, which belong to a certain function class and propagate in some suitable space, the work all has a common feature the fact that it adds to the understanding of what may be called nonlinear wave propagation" - preface.

Numerical Approximation of Hyperbolic Systems of Conservation Laws

Numerical Approximation of Hyperbolic Systems of Conservation Laws PDF Author: Edwige Godlewski
Publisher: Springer Nature
ISBN: 1071613448
Category : Mathematics
Languages : en
Pages : 846

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Book Description
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic 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. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.

Hyperbolic Problems: Theory, Numerics, Applications

Hyperbolic Problems: Theory, Numerics, Applications PDF Author: Rolf Jeltsch
Publisher: Birkhäuser
ISBN: 3034887205
Category : Mathematics
Languages : en
Pages : 503

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Hyperbolic Problems

Hyperbolic Problems PDF Author: Michael Fey
Publisher: Springer Science & Business Media
ISBN: 9783764360801
Category : Mathematics
Languages : en
Pages : 530

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Advances in Differential Equations and Mathematical Physics

Advances in Differential Equations and Mathematical Physics PDF Author: Yulia E. Karpeshina
Publisher: American Mathematical Soc.
ISBN: 0821832964
Category : Mathematics
Languages : en
Pages : 410

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Book Description
This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics. Papers in this volume represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to non-relativistic and relativistic quantum mechanics, including time-dependent and random potential, resonances, many body systems, pseudodifferential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and nonequilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics.

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects PDF Author: Andrea Donato
Publisher: Springer Science & Business Media
ISBN: 3322878716
Category : Technology & Engineering
Languages : en
Pages : 623

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Progress in Partial Differential Equations The Metz Surveys 2

Progress in Partial Differential Equations The Metz Surveys 2 PDF Author: Michel Chipot
Publisher: CRC Press
ISBN: 9780582227699
Category : Mathematics
Languages : en
Pages : 254

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Book Description
This volume presents papers from the conferences given at the University of Metz in 1992, and presents some recent advances in various important domains of partial differential equations and applied mathematics. A special attempt has been made to make this work accessible to young researchers and non-specialists.

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations PDF Author: B. Cockburn
Publisher: Springer
ISBN: 3540498044
Category : Mathematics
Languages : en
Pages : 446

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Book Description
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.

Acta Numerica 2003: Volume 12

Acta Numerica 2003: Volume 12 PDF Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521825238
Category : Juvenile Nonfiction
Languages : en
Pages : 536

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Book Description
An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.