Contemporary Mathematics 2003; 372 pp; softcover Volume: 329 ISBN10: 0821832611 ISBN13: 9780821832615 List Price: US$103 Member Price: US$82.40 Order Code: CONM/329
 This volume contains 36 research papers written by prominent researchers. The papers are based on a large satellite conference on scientific computing held at the International Congress of Mathematicians (ICM) in Xi'an, China. Topics covered include a variety of subjects in modern scientific computing and its applications, such as numerical discretization methods, linear solvers, parallel computing, high performance computing, and applications to solid and fluid mechanics, energy, environment, and semiconductors. The book will serve as an excellent reference work for graduate students and researchers working with scientific computing for problems in science and engineering. Readership Graduate students and research mathematicians interested in scientific computing for engineering and science. Table of Contents  R. Abgrall, M. Papin, and L. Hallo  A scheme for compressible twophase flows and interface problems
 S. Amini and A. T. J. Profit  Multilevel fast multipole Galerkin method for the boundary integral solution of the exterior Helmholtz equation
 T. Arbogast  An overview of subgrid upscaling for elliptic problems in mixed form
 D. N. Arnold and R. Winther  Mixed finite elements for elasticity in the stressdisplacement formulation
 W. Auzinger, O. Koch, and E. Weinmüller  New variants of defect correction for boundary value problems in ordinary differential equations
 Z. Chen, R. Glowinski, and J. He  Scientific computing in energy and environment
 S.S. Chow and G. F. Carey  Approximate analysis of extended Williamson fluids for PowellSabinHeindl elements
 P. Cummings and X. Feng  Frequency domain method for the scalar wave equation with second order absorbing boundary condition
 Z. Dostál and D. Horák  Scalable FETI with optimal dual penalty for semicoercive variational inequalities
 C. C. Douglas and G. Haase  Algebraic multigrid and Schur complement strategies within a multilayer spectral element ocean model
 J. Douglas, Jr., S. Kim, and H. Lim  An improved alternatingdirection method for a viscous wave equation
 Q. Du  Diverse vortex dynamics in superfluids
 R. E. Ewing, J. Liu, and H. Wang  Adaptive wavelet methods for advectionreaction equations
 J. L. Guermond and P. D. Minev  Approximation of an MHD problem using Lagrange finite elements
 B. Guo  Best approximation for the \(p\)version of the finite element method in three dimensions in the framework of the Jacobiweighted Besov spaces
 B.Y. Guo and L.L. Wang  Nonisotropic Jacobi spectral method
 N. Herrmann  Improved method for solving the heat equation with BEM and collocation
 M. Hokr, J. Maryška, and J. Šembera  Modelling of transport with nonequilibrium effects in dualporosity media
 Y. Hou and K. Li  Error estimate for a twolevel scheme of Newton type for the NavierStokes equations
 Y. Kuznetsov, K. Lipnikov, S. Lyons, and S. Maliassov  Mathematical modeling and numerical algorithms for poroelastic problems
 M.C. Lai  Fast Poisson solver in a threedimensional ellipsoid
 B. Li, Z. Chen, and G. Huan  Modeling horizontal wells with the CVFA method in black oil reservoir simulations
 J. Li and Y. Chen  Radial basis function based meshless method for groundwater modeling
 D. Liang  Upwinding finite covolume methods for unsteady convectiondiffusion problems
 J. Liu, Z. Chen, R. E. Ewing, G. Huan, B. Li, and Z. Wang  Parallel computing in the black oil model
 J. Maryška, J. Novák, P. Rálek, and J. Šembera  Finite element model of piezoelectric resonator
 B. Rivière and M. F. Wheeler  Discontinuous finite element methods for acoustic and elastic wave problems
 L. Schaefer and P. Wang  Heuristics for developing variations on future air traffic schedule characteristics for air traffic simulation
 J. Šembera, J. Maryška, and J. Novák  FEM/FVM modelling of processes in a combustion engine
 J. Shi, D. L. S. McElwain, and E. Donskoi  A finite control volume method for the reduction of an iron orecoal composite pellet in an axisymmetric temperature field
 J. Tausch  The fast multipole method for arbitrary Green's functions
 R. Wang and Z. Chen  A mathematical model for ESP simulation
 M. Vohralík, J. Maryška, and O. Severýn  Mixedhybrid discrete fracture network model
 H. Xu, C. Zhang, and R. M. Barron  A new numerical algorithm for treatment of convective terms and its applications to PDEs
 J. Xu, S. Dong, M. R. Maxey, and G. E. Karniadakis  Direct numerical simulation of turbulent channel flow with bubbles
 X. Yu and Q. Dai  RKDG finite element schemes combined with a gaskinetic method for onedimensional compressible Euler equations
