Numerical Methods for Hyperbolic Equations (Hardcover)

Preface
P.D. Lax

Foreword
E.F. Toro

Scientific committee

Sponsors

Thanks!

I Invited lectures

Santiago and the Jacobean pilgrimage at the height of the Middle Ages: Mentality and culture
F. Singul

Recent developments on the Lagrangian and remapping methods for compressible fluid flows
J. Cheng & C.-W. Shu

Coupling of nonlinear hyperbolic systems: A journey from mathematical to numerical issues
F. Coquel

Stochastic convergence and the software tool W*
R. Kaufman, T. Kaman, Y. Yu & J. Glimm

Numerical relativistic magnetohydrodynamics in dynamical spacetimes
J.Mª. Ibanez

Initiation of reactive blast waves by external energy sources
A. Linan, V. Kurdyumov & A.L. Sanchez

Numerical performance of discontinuous and stabilized continuous Galerkin methods for convection?diffusion problems
P.F. Antonietti & A. Quarteroni

The Riemann problem in computational science
E.F. Toro

II Recent advances in the numerical computation of environmental conservation laws with source terms

Finite volume discretisation of depth averaged scalar transport equations coupled to shallow water models
L. Cea & M.E. Vazquez-Cendon

Modeling of shallow curved flows with 3D unsteady RANS
B. Fraga, E. Pena & L. Cea

A finite volume/duality method for Bingham viscoplastic flow
J.M. Gallardo, E.D. Fernandez-Nieto & P. Vigneaux

Accounting for building effects in shallow waters: Porosity approach, resolved approach and Manning coefficient approach. Comparison and experimental validation
M. Garrido, L. Cea, J. Puertas & M.E. Vazquez-Cendon

A numerical approximation for a climatological model with dynamic and diffusive boundary condition
A. Hidalgo & L. Tello

A large time step upwind scheme for the shallow water equations with source terms
M. Morales-Hernandez, J. Murillo, P. Garcia-Navarro & J. Burguete

Augmented Roe’s approaches for Riemann problems including source terms: Definition of stability region with application to the shallow water equations with rigid and deformable bed
J. Murillo & P. Garcia-Navarro

III Multiphase flow and porous media

Dynamics of submerged gravitational granular flows
A. Armanini, M. Dumbser, E. Nucci & M. Larcher

Three-phase Eulerian mixture formulation for the collapse of dense-suspension columns in ambient fluid
P. Bohorquez

Numerical simulation of three-dimensional transient variably saturated flow
D. Caviedes-Voullieme, P. Garcia-Navarro & J. Murillo

Modelling microbial chemo-tactic waves in saturated porous media using AMR
S.A.E.G. Falle, N.F. Dudley-Ward & M.S. Olson

Mathematical modeling of heat transfer during quenching process
D.N. Passarella, F. Varas & E.B. Martin

Conservative formulation for compressible fluid flow through elastic porous media
E. Romenski

On the coupling of compressible and incompressible fluids
V. Schleper

IV Numerical methods in astrophysics

Partially implicit high order Runge-Kutta methods for wave-like equations in spherical-type coordinates
I. Cordero-Carrion

Approximate Harten-Lax-van Leer Riemann solvers for relativistic magnetohydrodynamics
A. Mignone, G. Bodo & M. Ugliano

MUSTA schemes in magnetohydrodynamics and neutrino transfer: Application to core-collapse supernovae and gamma-ray bursts
M. Obergaulinger & M.A. Aloy

V Seismology and geophysics modelling

IFCP Riemann solver: Application to tsunami modelling using GPUs
M.J. Castro, M. de la Asuncion, J. Macias, C. Pares, E.D. Fernandez-Nieto, J.M. Gonzalez-Vida & T. Morales

Dispersive waves generated by an underwater landslide
D. Dutykh, D. Mitsotakis, S. Beisel & N. Shokina

Finite volume schemes for balance laws on time-dependent surfaces
J. Giesselmann & M. Wiebe

On multilayer shallow water systems
T.C. Rebollo, E.D. Fernandez-Nieto & E.H. Kone

VI High order methods for hyperbolic conservation laws

Approximate solutions of generalized Riemann problems: The Toro-Titarev solver and the LeFloch-Raviart expansion
C.R. Goetz & A. Iske

CFL-Number-dependent TVD-Limiters
F. Kemm

Arbitrary high order schemes for transport problems
B. Latorre & P. Garcia-Navarro

Efficient numerical solution of the model kinetic equations
V.A. Titarev

High order approximations for hyperbolic conservation laws with random initial data
S.A. Tokareva, S. Mishra & C. Schwab

VII Finite volume and discontinous Galerkin schemes for stiff source term problems

Some comments on the numerical approximation of hyperbolic nonconservative systems
M.L. Munoz-Ruiz & C. Pares

An explicit discontinuous Galerkin scheme based on a Runge-Kutta predictor with application to magnetohydrodynamics
C. Altmann, G. Gassner & C.-D. Munz

VIII Methods and models for biomedical problems

Simulation of an epidemic model with nonlinear cross-diffusion
S. Berres & R. Ruiz-Baier

A simple model of filtration and macromolecule transport through microvascular walls
L. Facchini, A. Bellin & E.F. Toro

Some issues in modelling venous haemodynamics
L. Muller, G. Montecinos & E.F. Toro

Efficient algorithms for the solution of fluid-structure interaction problems in haemodynamic applications
M. Pozzoli, C. Vergara & F. Nobile

IX Numerical methods for reactive flows

On the use of moving least squares for pressure discretization in low mach number flows
X. Nogueira, I. Colominas, S. Khelladi, F. Bakir & J.-C. Chassaing

Numerical simulation of a pulverized coal jet
A. Bermudez, J.L. Ferrin, A. Linan & L. Saavedra

A framework for flux-vector splitting schemes
M.E. Vazquez-Cendon & E.F. Toro

X Poster

Extension of fourth-order non-oscillatory central schemes to sediment transport equations
A. Balaguer-Beser, M.T. Capilla & Ll. Gascon

First approach to the application of operational 4DVAR data assimilation to the regional ocean model system
M. Cobas-Garcia, A. Gomez-Tato, C. Cotelo-Queijo, M.E. Vazquez-Cendon, P. Carracedo-Garcia, P. Costa, B. Gomez-Hombre, J. Trinanes-Fernandez & M. Ruiz-Villarreal

Changes in buoyancy-driven instabilities using a reaction-diffusion system
D.M. Escala, J. Guiu-Souto, J. Carballido-Landeira, A. Perez-Munuzuri & M.E. Vazquez-Cendon

A mean gradient method to solve shallow flows
J. Fe, F. Navarrina & L. Cueto-Felgueroso

Upwind schemes for non-homogeneous hyperbolic conservation laws with stationary solutions
Ll. Gascon, A. Balaguer-Beser & M.T. Capilla

Viscous fingering instabilities in reactive miscible media
J. Guiu-Souto, D.M. Escala, J. Carballido-Landeira, A. Perez-Munuzuri & E. Martin-Ortega

Author index