Hyperbolic Problems: Contributed talksEitan Tadmor, Jian-Guo Liu, Athanasios E. Tzavaras American Mathematical Soc., 15.12.2009 - 999 Seiten The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, ``HYP2008'', was held at the University of Maryland from June 9-13, 2008. This was the twelfth meeting in the bi-annual international series of HYP conferences which originated in 1986 at Saint-Etienne, France, and over the last twenty years has become one of the highest quality and most successful conference series in Applied Mathematics. This book, the second in a two-part volume, contains more than sixty articles based on contributed talks given at the conference. The articles are written by leading researchers as well as promising young scientists and cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of ``hyperbolic PDEs''. This volume will bring readers to the forefront of research in this most active and important area in applied mathematics. |
Inhalt
| xiii | |
| 337 | |
| 347 | |
On the finite weak solutions to a system in quantum fluid dynamics | 359 |
Accuracy of modeling error estimates for discrete velocity models | 371 |
The Riemann solution for threephase flow in a porous medium | 379 |
Nonoscillatory central schemes for 3D hyperbolic conservation laws | 389 |
A conservative positivity preserving scheme for advectiondiffusionreaction | 399 |
Construction of conservative systems | 673 |
Collisionless magnetic reconnection in a fivemoment twofluid electronpositron | 683 |
Finite difference scheme for a nonlinear damped wave equation derived from | 693 |
Convergent finite element methods for compressible barotropic Stokes systems | 705 |
A hybrid scheme for flows in porous media | 715 |
Discrete involutions resonance and the divergence problem in | 725 |
Twolayer shallow water system and its applications | 737 |
Asymptotic rarefaction waves for balance laws with stiff sources | 745 |
On the spectrum of a rank two modification of a diagonal matrix for linearized | 409 |
Invariant manifolds for viscous profiles of a class of mixed hyperbolicparabolic | 419 |
Nonlinear iterative solvers for unsteady NavierStokes equations | 429 |
An approximate Riemann solver for ideal MHD based on relaxation | 439 |
Numerical solution of an inverse problem for a scalar conservation | 445 |
A conservation law with discontinuous flux modelling traffic flow with abruptly | 455 |
Numerical investigation of finite difference schemes for nonconservative | 465 |
Relaxed schemes for nonlinear evolutionary PDEs | 477 |
Global asymptotic effects of the structure of combustion waves in porous media | 487 |
CONTENTS | 497 |
On the continuum modeling of crowds | 517 |
Simulation of rainwater overlandflow | 537 |
Counterexamples to the sonic and detachment criteria | 557 |
Highorder finite volume schemes for wave propagation in stratified atmospheres | 575 |
Riemann solvers for conservation laws at a node | 595 |
Error estimate for the local discontinuous Galerkin scheme of | 615 |
Viscous conservation laws with discontinuous initial data | 635 |
Convergence of front tracking and the Glimm scheme for a model of the flow | 653 |
Global existence and incompressible limit of weak solutions to | 663 |
Comparison of staggered and cellcentered Lagrangian and | 755 |
On the entropy stability of Roetype finite volume methods | 765 |
Entropy stability of Roetype upwind finite volume methods on unstructured | 775 |
A robust high order VFRoe scheme for shallow water equations | 785 |
Vorticity preserving schemes using potentialbased fluxes for the system wave | 795 |
Half space problem for the compressible NavierStokes equation | 805 |
CONTENTS | 815 |
A relaxation method for modeling twophase shallow granular flows | 835 |
Stability of traveling waves in thin liquid films driven by gravity and surfactant | 855 |
Piecewise parabolic method on a local stencil for hyperbolic conservation laws | 869 |
Accuracy of stabilized residual distribution for shallow water flows including | 889 |
Blow up of smooth solutions to the barotropic compressible | 911 |
Transport of mass momentum and energy in zeropressure gas dynamics | 929 |
A simple unified coordinates method for compressible homogeneous twophase | 949 |
Unstaggered central schemes for MHD and SMHD | 967 |
The minimum entropy approximation to the radiative transfer equation | 987 |
| 997 | |
Häufige Begriffe und Wortgruppen
Anal applied approximate solution assume asymptotic balance laws boundary conditions Cauchy problem central schemes compressible Comput conservation laws consider constant defined Definition denote density Differential Equations discontinuity discrete domain dynamics E-mail address eigenvalues entropy estimate Euler equations existence Figure finite volume methods first flow fluid flux flux function global grid hyperbolic conservation laws hyperbolic systems inequality initial data interface Lagrangian Lemma linear Lipschitz continuous magnetic magnetohydrodynamics Math Mathematics Subject Classification matrix mesh method Navier-Stokes equations nonlinear numerical scheme numerical solution obtain parameters participant participant participant perturbation Phys piecewise proof rarefaction rarefaction wave reconstruction relaxation Riemann problem Riemann solver satisfies satisfy shallow water equations shock wave SIAM simulation smooth solve source term space speed stability systems of conservation Theorem tion traveling wave University variables vector velocity viscosity weak solution