Current Trends in Scientific Computing (Contemporary Mathematics)

Current Trends in Scientific Computing (Contemporary Mathematics)


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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.


A scheme for compressible two-phase flows and interface problems by R. Abgrall, M. Papin, and L. Hallo Multi-level fast multipole Galerkin method for the boundary integral solution of the exterior Helmholtz equation by S. Amini and A. T. J. Profit An overview of subgrid upscaling for elliptic problems in mixed form by T. Arbogast Mixed finite elements for elasticity in the stress-displacement formulation by D. N. Arnold and R. Winther New variants of defect correction for boundary value problems in ordinary differential equations by W. Auzinger, O. Koch, and E. Weinmuller Scientific computing in energy and environment by Z. Chen, R. Glowinski, and J. He Approximate analysis of extended Williamson fluids for Powell-Sabin-Heindl elements by S.-S. Chow and G. F. Carey Frequency domain method for the scalar wave equation with second order absorbing boundary condition by P. Cummings and X. Feng Scalable FETI with optimal dual penalty for semicoercive variational inequalities by Z. Dostal and D. Horak Algebraic multigrid and Schur complement strategies within a multilayer spectral element ocean model by C. C. Douglas and G. Haase An improved alternating-direction method for a viscous wave equation by J. Douglas, Jr., S. Kim, and H. Lim Diverse vortex dynamics in superfluids by Q. Du Adaptive wavelet methods for advection-reaction equations by R. E. Ewing, J. Liu, and H. Wang Approximation of an MHD problem using Lagrange finite elements by J. L. Guermond and P. D. Minev Best approximation for the $p$-version of the finite element method in three dimensions in the framework of the Jacobi-weighted Besov spaces by B. Guo Non-isotropic Jacobi spectral method by B.-Y. Guo and L.-L. Wang Improved method for solving the heat equation with BEM and collocation by N. Hermann Modelling of transport with non-equilibrium effects in dual-porosity media by M. Hokr, J. Maryska, and J. Sembera Error estimate for a two-level scheme of Newton type for the Navier-Stokes equations by Y. Hou and K. Li Mathematical modeling and numerical algorithms for poroelastic problems by Y. Kuznetsov, K. Lipnikov, S. Lyons, and S. Maliassov Fast Poisson solver in a three-dimensional ellipsoid by M.-C. Lai Modeling horizontal wells with the CVFA method in black oil reservoir simulations by B. Li, Z. Chen, and G. Huan Radial basis function based meshless method for groundwater modeling by J. Li and Y. Chen Upwinding finite covolume methods for unsteady convection-diffusion problems by D. Liang Parallel computing in the black oil model by J. Liu, Z. Chen, R. E. Ewing, G. Huan, B. Li, and Z. Wang Finite element model of piezoelectric resonator by J. Maryska, J. Novak, P. Ralek, and J. Sembera Discontinuous finite element methods for acoustic and elastic wave problems by B. Riviere and M. F. Wheeler Heuristics for developing variations on future air traffic schedule characteristics for air traffic simulation by L. Schaefer and P. Wang FEM/FVM modelling of processes in a combustion engine by J. Sembera, J. Maryska, and J. Novak A finite control volume method for the reduction of an iron ore-coal composite pellet in an axisymmetric temperature field by J. Shi, D. L. S. McElwain, and E. Donskoi The fast multipole method for arbitrary Green's functions by J. Tausch A mathematical model for ESP simulation by R. Wang and Z. Chen Mixed-hybrid discrete fracture network model by M. Vohralik, J. Maryska, and O. Severyn A new numerical algorithm for treatment of convective terms and its applications to PDEs by H. Xu, C. Zhang, and R. M. Barron Direct numerical simulation of turbulent channel flow with bubbles by J. Xu, S. Dong, M. R. Maxey, and G. E. Karniadakis RKDG finite element schemes combined with a gas-kinetic method for one-dimensional compressible Euler equations by X. Yu and Q. Dai.

Product Details

  • ISBN13: 9780821832615
  • Format: Paperback
  • ID: 9780821832615
  • ISBN10: 0821832611

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