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Current Trends in Scientific Computing

Edited by: Zhangxin Chen Southern Methodist University, Dallas, TX
Roland Glowinski University of Houston, Houston, TX
Kaitai Li Xi’an Jiaotong University, Xi’an, PRC
Available Formats:
Electronic ISBN: 978-0-8218-7919-1
Product Code: CONM/329.E
List Price: $103.00 MAA Member Price:$92.70
AMS Member Price: $82.40 Click above image for expanded view Current Trends in Scientific Computing Edited by: Zhangxin Chen Southern Methodist University, Dallas, TX Roland Glowinski University of Houston, Houston, TX Kaitai Li Xi’an Jiaotong University, Xi’an, PRC Available Formats:  Electronic ISBN: 978-0-8218-7919-1 Product Code: CONM/329.E  List Price:$103.00 MAA Member Price: $92.70 AMS Member Price:$82.40
• Book Details

Contemporary Mathematics
Volume: 3292003; 372 pp
MSC: Primary 76; 74; 65; 68; 41; 35; 93; 80;

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.

Graduate students and research mathematicians interested in scientific computing for engineering and science.

• Articles
• R. Abgrall, M. Papin and L. Hallo - A scheme for compressible two-phase flows and interface problems [ MR 2022626 ]
• S. Amini and A. T. J. Profit - Multi-level fast multipole Galerkin method for the boundary integral solution of the exterior Helmholtz equation [ MR 2022627 ]
• Todd Arbogast - An overview of subgrid upscaling for elliptic problems in mixed form [ MR 2022628 ]
• Douglas N. Arnold and Ragnar Winther - Mixed finite elements for elasticity in the stress-displacement formulation [ MR 2022629 ]
• Winfried Auzinger, Othmar Koch and Ewa Weinmüller - New variants of defect correction for boundary value problems in ordinary differential equations [ MR 2022630 ]
• Zhangxin Chen, Roland Glowinski and Jiwen He - Scientific computing in energy and environment [ MR 2022631 ]
• S.-S. Chow and G. F. Carey - Approximate analysis of extended Williamson fluids for Powell-Sabin-Heindl elements [ MR 2022632 ]
• Peter Cummings and Xiaobing Feng - Frequency domain method for the scalar wave equation with second order absorbing boundary condition [ MR 2022633 ]
• Zdeněk Dostál and David Horák - Scalable FETI with optimal dual penalty for semicoercive variational inequalities [ MR 2022634 ]
• Craig C. Douglas and Gundolf Haase - Algebraic multigrid and Schur complement strategies within a multilayer spectral element ocean model [ MR 2022635 ]
• Jim Douglas, Jr., Seongjai Kim and Hyeona Lim - An improved alternating-direction method for a viscous wave equation [ MR 2022636 ]
• Qiang Du - Diverse vortex dynamics in superfluids [ MR 2022637 ]
• Richard E. Ewing, Jiangguo Liu and Hong Wang - Adaptive wavelet methods for advection-reaction equations [ MR 2022638 ]
• J. L. Guermond and P. D. Minev - Approximation of an MHD problem using Lagrange finite elements [ MR 2022639 ]
• Benqi Guo - Best approximation for the $p$-version of the finite element method in three dimensions in the framework of the Jacobi-weighted Besov spaces [ MR 2022640 ]
• Ben-Yu Guo and Li-Lian Wang - Non-isotropic Jacobi spectral method [ MR 2022641 ]
• Norbert Herrmann - Improved method for solving the heat equation with BEM and collocation [ MR 2022642 ]
• Milan Hokr, Jiří Maryška and Jan Šembera - Modelling of transport with non-equilibrium effects in dual-porosity media [ MR 2022643 ]
• Yanren Hou and Kaitai Li - Error estimate for a two-level scheme of Newton type for the Navier-Stokes equations [ MR 2022644 ]
• Yuri Kuznetsov, Konstantin Lipnikov, Stephen Lyons and Serguei Maliassov - Mathematical modeling and numerical algorithms for poroelastic problems [ MR 2022645 ]
• Ming-Chih Lai - Fast Poisson solver in a three-dimensional ellipsoid [ MR 2022646 ]
• Baoyan Li, Zhangxin Chen and Guanren Huan - Modeling horizontal wells with the CVFA method in black oil reservoir simulations [ MR 2022647 ]
• Jichun Li and Yitung Chen - Radial basis function based meshless method for groundwater modeling [ MR 2022648 ]
• Dong Liang - Upwinding finite covolume methods for unsteady convection-diffusion problems [ MR 2022649 ]
• J. Liu, Z. Chen, R. E. Ewing, G. Huan, B. Li and Z. Wang - Parallel computing in the black oil model
• Jiří Maryška, Josef Novák, Petr Rálek and Jan Šembera - Finite element model of piezoelectric resonator [ MR 2022651 ]
• Béatrice Rivière and Mary F. Wheeler - Discontinuous finite element methods for acoustic and elastic wave problems [ MR 2022652 ]
• Lisa Schaefer and Paul Wang - Heuristics for developing variations on future air traffic schedule characteristics for air traffic simulation
• Jan Šembera, Jiří Maryška and Josef Novák - FEM/FVM modelling of processes in a combustion engine [ MR 2022653 ]
• Jingyu 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 [ MR 2022654 ]
• Johannes Tausch - The fast multipole method for arbitrary Green’s functions [ MR 2022655 ]
• Ruihe Wang and Zhangxin Chen - A mathematical model for ESP simulation [ MR 2023777 ]
• Martin Vohralík, Jiří Maryška and Otto Severýn - Mixed-hybrid discrete fracture network model [ MR 2023778 ]
• Hao Xu, Chao Zhang and Ronald M. Barron - A new numerical algorithm for treatment of convective terms and its applications to PDEs [ MR 2023779 ]
• Jin Xu, Suchuan Dong, Martin R. Maxey and George Em Karniadakis - Direct Numerical Simulation of Turbulent Channel Flow with Bubbles
• Xijun Yu and Qingfang Dai - RKDG Finite Element Schemes Combined with a Gas-Kinetic Methods for One-Dimensional Compressible Euler Equations
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Volume: 3292003; 372 pp
MSC: Primary 76; 74; 65; 68; 41; 35; 93; 80;

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.

Graduate students and research mathematicians interested in scientific computing for engineering and science.

• Articles
• R. Abgrall, M. Papin and L. Hallo - A scheme for compressible two-phase flows and interface problems [ MR 2022626 ]
• S. Amini and A. T. J. Profit - Multi-level fast multipole Galerkin method for the boundary integral solution of the exterior Helmholtz equation [ MR 2022627 ]
• Todd Arbogast - An overview of subgrid upscaling for elliptic problems in mixed form [ MR 2022628 ]
• Douglas N. Arnold and Ragnar Winther - Mixed finite elements for elasticity in the stress-displacement formulation [ MR 2022629 ]
• Winfried Auzinger, Othmar Koch and Ewa Weinmüller - New variants of defect correction for boundary value problems in ordinary differential equations [ MR 2022630 ]
• Zhangxin Chen, Roland Glowinski and Jiwen He - Scientific computing in energy and environment [ MR 2022631 ]
• S.-S. Chow and G. F. Carey - Approximate analysis of extended Williamson fluids for Powell-Sabin-Heindl elements [ MR 2022632 ]
• Peter Cummings and Xiaobing Feng - Frequency domain method for the scalar wave equation with second order absorbing boundary condition [ MR 2022633 ]
• Zdeněk Dostál and David Horák - Scalable FETI with optimal dual penalty for semicoercive variational inequalities [ MR 2022634 ]
• Craig C. Douglas and Gundolf Haase - Algebraic multigrid and Schur complement strategies within a multilayer spectral element ocean model [ MR 2022635 ]
• Jim Douglas, Jr., Seongjai Kim and Hyeona Lim - An improved alternating-direction method for a viscous wave equation [ MR 2022636 ]
• Qiang Du - Diverse vortex dynamics in superfluids [ MR 2022637 ]
• Richard E. Ewing, Jiangguo Liu and Hong Wang - Adaptive wavelet methods for advection-reaction equations [ MR 2022638 ]
• J. L. Guermond and P. D. Minev - Approximation of an MHD problem using Lagrange finite elements [ MR 2022639 ]
• Benqi Guo - Best approximation for the $p$-version of the finite element method in three dimensions in the framework of the Jacobi-weighted Besov spaces [ MR 2022640 ]
• Ben-Yu Guo and Li-Lian Wang - Non-isotropic Jacobi spectral method [ MR 2022641 ]
• Norbert Herrmann - Improved method for solving the heat equation with BEM and collocation [ MR 2022642 ]
• Milan Hokr, Jiří Maryška and Jan Šembera - Modelling of transport with non-equilibrium effects in dual-porosity media [ MR 2022643 ]
• Yanren Hou and Kaitai Li - Error estimate for a two-level scheme of Newton type for the Navier-Stokes equations [ MR 2022644 ]
• Yuri Kuznetsov, Konstantin Lipnikov, Stephen Lyons and Serguei Maliassov - Mathematical modeling and numerical algorithms for poroelastic problems [ MR 2022645 ]
• Ming-Chih Lai - Fast Poisson solver in a three-dimensional ellipsoid [ MR 2022646 ]
• Baoyan Li, Zhangxin Chen and Guanren Huan - Modeling horizontal wells with the CVFA method in black oil reservoir simulations [ MR 2022647 ]
• Jichun Li and Yitung Chen - Radial basis function based meshless method for groundwater modeling [ MR 2022648 ]
• Dong Liang - Upwinding finite covolume methods for unsteady convection-diffusion problems [ MR 2022649 ]
• J. Liu, Z. Chen, R. E. Ewing, G. Huan, B. Li and Z. Wang - Parallel computing in the black oil model
• Jiří Maryška, Josef Novák, Petr Rálek and Jan Šembera - Finite element model of piezoelectric resonator [ MR 2022651 ]
• Béatrice Rivière and Mary F. Wheeler - Discontinuous finite element methods for acoustic and elastic wave problems [ MR 2022652 ]
• Lisa Schaefer and Paul Wang - Heuristics for developing variations on future air traffic schedule characteristics for air traffic simulation
• Jan Šembera, Jiří Maryška and Josef Novák - FEM/FVM modelling of processes in a combustion engine [ MR 2022653 ]
• Jingyu 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 [ MR 2022654 ]
• Johannes Tausch - The fast multipole method for arbitrary Green’s functions [ MR 2022655 ]
• Ruihe Wang and Zhangxin Chen - A mathematical model for ESP simulation [ MR 2023777 ]
• Martin Vohralík, Jiří Maryška and Otto Severýn - Mixed-hybrid discrete fracture network model [ MR 2023778 ]
• Hao Xu, Chao Zhang and Ronald M. Barron - A new numerical algorithm for treatment of convective terms and its applications to PDEs [ MR 2023779 ]
• Jin Xu, Suchuan Dong, Martin R. Maxey and George Em Karniadakis - Direct Numerical Simulation of Turbulent Channel Flow with Bubbles
• Xijun Yu and Qingfang Dai - RKDG Finite Element Schemes Combined with a Gas-Kinetic Methods for One-Dimensional Compressible Euler Equations
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