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Current Trends in Scientific Computing
Edited by: Zhangxin Chen, Southern Methodist University, Dallas, TX, Roland Glowinski, University of Houston, TX, and Kaitai Li, Xi'an Jiaotong University, PRC
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Contemporary Mathematics
2003; 372 pp; softcover
Volume: 329
ISBN-10: 0-8218-3261-1
ISBN-13: 978-0-8218-3261-5
List Price: US$98
Member Price: US$78.40
Order Code: CONM/329
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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 two-phase flows and interface problems
  • S. Amini and A. T. J. Profit -- Multi-level 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 stress-displacement 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 Powell-Sabin-Heindl 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 alternating-direction 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 advection-reaction 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 Jacobi-weighted Besov spaces
  • B.-Y. Guo and L.-L. Wang -- Non-isotropic 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 non-equilibrium effects in dual-porosity media
  • Y. Hou and K. Li -- Error estimate for a two-level scheme of Newton type for the Navier-Stokes 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 three-dimensional 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 convection-diffusion 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 ore-coal 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 -- Mixed-hybrid 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 gas-kinetic method for one-dimensional compressible Euler equations
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