**Contemporary Mathematics**

Volume: 329;
2003;
372 pp;
Softcover

MSC: Primary 76; 74; 65; 68; 41; 35; 93; 80;

Print ISBN: 978-0-8218-3261-5

Product Code: CONM/329

List Price: $103.00

AMS Member Price: $82.40

MAA member Price: $92.70

**Electronic ISBN: 978-0-8218-7919-1
Product Code: CONM/329.E**

List Price: $103.00

AMS Member Price: $82.40

MAA member Price: $92.70

# Current Trends in Scientific Computing

Share this page *Edited by *
*Zhangxin Chen; Roland Glowinski; Kaitai Li*

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

## Current Trends in Scientific Computing

- Contents v6 free
- Preface ix10 free
- A scheme for compressible two-phase flows and interface problems 112 free
- Multi-level fast multipole Galerkin method for the boundary integral solution of the exterior Helmholtz equation 1324
- An overview of subgrid upscaling for elliptic problems in mixed form 2132
- Mixed finite elements for elasticity in the stress-displacement formulation 3344
- New variants of defect correction for boundary value problems in ordinary differential equations 4354
- Scientific computing in energy and environment 5162
- Approximate analysis of extended Williamson fluids for Powell-Sabin-Heindl elements 5970
- Frequency domain method for the scalar wave equation with second order absorbing boundary condition 6778
- Scalable FETI with optimal dual penalty for semicoercive variational inequalities 7990
- Algebraic multigrid and Schur complement strategies within a multilayer spectral element ocean model 89100
- Diverse vortex dynamics in superfluids 105116
- Adaptive wavelet methods for advection-reaction equations 119130
- Approximation of an MHD problem using Lagrange finite elements 131142
- Best approximation for the p-version of the finite element method in three dimensions in the framework of the Jacobi-weighted Besov spaces 139150
- Non-isotropic Jacobi spectral method 157168
- Improved method for solving the heat equation with BEM and collocation 165176
- Modelling of transport with non-equilibrium effects in dual-porosity media 175186
- Error estimate for a two-level scheme of Newton type for the Navier-Stokes equation 183194
- Mathematical modeling and numerical algorithms for poroelastic problems 191202
- Fast Poisson solver in a three-dimensional ellipsoid 203214
- Modeling horizontal wells with the CVFA method in black oil reservoir simulations 209220
- Radial basis function based meshless method for groundwater modeling 237248
- Upwinding finite covolume methods for unsteady convection-diffusion problems 245256
- Parallel computing in the black oil model 253264
- Finite element model of piezoelectric resonator 263274
- Discontinuous finite element methods for acoustic and elastic wave problems 271282
- Heuristics for developing variations on future air traffic schedule characteristics for air traffic simulation 283294
- FEM/FVM modelling of processes in a combustion engine 291302
- A finite control volume method for the reduction of an iron ore-coal composite pellet in an axisymmetric temperature field 299310
- The fast multipole method for arbitrary Green's functions 307318
- A mathematical model for ESP simulation 315326
- Mixed-hybrid discrete fracture network model 325336
- A new numerical algorithm for treatment of convective terms and its applications to PDEs 333344
- Direct numerical simulation of turbulent channel flow with bubbles 347358
- RKDG finite element schemes combined with a gas-kinetic method for one-dimensional compressible Euler equations 355366