双曲型问题 : 理论、数值方法及应用

Volume 2

Contributed Talks

Alin,a Chertock,Jian,-Guo Liu,Terran,ce Pendleton

Convergence Analysis of the Particle Method for the

Camassa-Holm Equation

Paolo Corti

Stable Numerical Scheme for the Magnetic Induction Equation

with Hall Effect

Andreas Dedner,Christoph Gersbacher

A Local Discontinuous Galerkin Discretization for Hydrostatic

Free Surface Flows Using a-transformed Coordinates

Don,atella Don,atelli,Pierangelo Marcati

Analysis of Quasineutral Limits

Renjun Duan,Robert M.Strain

On the Full Dissipative Property of the Vlasov-Poisson-Boltzmann System

P.Engel,C.Rohde

On the Space-Time Expansion Discontinuous Galerkin

Method

Ulrik Skre Fjordholm

Energy Conservative and Stable Schemes for the Two-layer

Shallow Water Equations

Jan,Giesselmann

Sharp Interface Limits for Korteweg Models

Nan Jiang

On the Convergence of Semi-discrete High Resolution Schemes

with Superbee Flux Limiter for Conservation Laws

Song Jiang,Qian,gchang Ju,Fucai

Asymptotic Limits of the Compressible Magnetohydrodynamic

Equations

Chunhua Jin,Tong Ya'ng,Jin,gxue Yitn,

Waiting Time for a Non-Newtonian Polytropic Filtration

Equation with Convection

Quansen Jiu,Yi Wang,Zhouping Xin,Stability of Rarefaction Waves to the 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity

E.A.John,son,J.A.Rossmanith

Ten-moment Two-fluid Plasma Model Agrees Well with

PIC/Vlasov in GEM Problem

Frederike Kissling,Christian Rohde

Numerical Simulation of Nonclassical Shock Waves in Porous

Media with a Heterogeneous Multiscale Method

Ujjwal Koley

Implicit Finite Difference Scheme for the Magnetic

Induction Equation

Anastasia Korshun,ova,Olga Rozanova

On Effects of Stochastic Regularization for the Pressureless

Gas Dynamics

Dietmar Kroener

Jump Conditions across Phase Boundaries for the Navier-Stokes Korteweg system

Kai Krycki,Martitn,Frank

Numerical Treatment of a Non-classical Transport Equation

Modelling Radiative Transfer in Atmospheric Clouds

……

Volume 1

This two-volume book is devoted to mathematical theory，numerics and applications of hyperbolic problems.Hyperbolic problems have not only a long history but alsoextremely rich physical background.The development ishighly stimulated by their applications to Physics，Biology，and Engineering Sciences;in particular，by the design ofeffective numerical algorithms.Due to recent rapiddevelopment of computers，more and more scientists usehyperbolic partial differential equations and relatedevolutionary equations as basic tools when proposing newmathematical models of various phenomena and relatednumerical algorithms.
This book contains 80 original research and review paperswhich are written by leading researchers and promisingyoung scientists，which cover a diverse range of multidisciplinary topics addressing theoretical，modeling andcomputational issues arising under the umbrella of"Hyperbolic Partial Differential Equations".It is aimed atmathematicians，researchers in applied sciences and graduatestudents.