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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Partial Differential Equations (G.1.8) > Multigrid And Multilevel Methods (G.1.8...)  
 
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  1-10 of 14 Reviews about "Multigrid And Multilevel Methods (G.1.8...)": Date Reviewed
  Execution levels for aspect-oriented programming: design, semantics, implementations and applications
Tanter É., Figueroa I., Tabareau N. Science of Computer Programming 80311-342, 2014.  Type: Article

I was rather surprised when asked to review this particular paper, as I thought that aspect-oriented software development (AOSD) was essentially defunct. As the authors themselves say elsewhere:...

Mar 26 2015
  hp-multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows: Part I: multilevel analysis
Van Der Vegt J., Rhebergen S. Journal of Computational Physics 231(22): 7537-7563, 2012.  Type: Article

Understanding multidimensional decaying turbulent flows, advection-dominated flows, and convection-diffusion models requires the integration of accurate numerical structures, techniques, and simulated solutions. The choice of mathemati...

Feb 11 2013
  Algebraic multigrid solver on clusters of CPUs and GPUs
Neic A., Liebmann M., Haase G., Plank G.  PARA 2010 (Proceedings of the 10th International Conference on Applied Parallel and Scientific Computing, Reykjavík, Iceland, Jun 6-9, 2010) 389-398, 2012.  Type: Proceedings

An algebraic multigrid solver (AMG) is an iterative method for solving symmetric positive definite linear systems arising from elliptic partial differential equations. When solving linear systems, we know that oscillatory errors conver...

Aug 20 2012
   Matrix-based multigrid: theory and applications
Shapira Y., Springer Publishing Company, Incorporated, 2008. 322 pp.  Type: Book (9780387497648)

Shapira delivers a systematic and unified presentation of the multigrid method that is used for the efficient solution of partial differential equations. Such methodology is important to the computational science and engineering resear...

May 18 2009
  A generic grid interface for parallel and adaptive scientific computing: Part I: abstract framework
Bastian P., Blatt M., Dedner A., Engwer C., Klöfkorn R., Ohlberger M., Sander O. Computing 82(2): 103-119, 2008.  Type: Article

Typical algorithms in scientific computing, such as finite element methods for the numerical solution of partial differential equations, require a grid to discretize the domain where the solution of the equation is sought. Modern metho...

Mar 17 2009
  Hybrid multigrid/Schwarz algorithms for the spectral element method
Lottes J., Fischer P. Journal of Scientific Computing 24(1): 613-646, 2005.  Type: Article

The spectral element method is one of the major numerical methods in fluid mechanics. To apply this method, it is crucial to have an efficient iterative solver. The authors of this paper examine some existing algorithms, and introduce ...

Apr 20 2006
  Application of multiblock grid and dual-level parallelism in coastal ocean circulation modeling
Luong P., Breshears C., Ly L. Journal of Scientific Computing 20(2): 257-277, 2004.  Type: Article

This paper uses a coastal ocean model simulation as motivation for a parallel processing study. The goal was to study the parallelization of this model, not to improve or enhance the model. Because of this, boundary conditions (like su...

Nov 10 2004
  Multiresolution wavelet based adaptive numerical dissipation control for high order methods
Sjögreen B., Yee H. Journal of Scientific Computing 20(2): 211-255, 2004.  Type: Article

Sjögreen and Yee construct an adaptive numerical dissipation control that is an improvement over Yee et al.’s artificial compression method (ACM) sensor....

Sep 27 2004
  Multigrid for discrete differential forms on sparse grids
Gradinaru V., Hiptmair R. Computing 71(1): 17-42, 2003.  Type: Article

The authors present an implementation of, and studies of the convergence of, multigrid solvers for a generalization of finite elements on sparse grids, applied to the Galerkin discretization of second-order elliptic boundary value prob...

Feb 19 2004
  Multigrid
Trottenberg U., Oosterlee C., Schüller A., Brandt A., Oswald P., Stüben K., Academic Press, Inc., Orlando, FL, 2001. 631 pp.  Type: Book (9780127010700)

This is an excellent book on multigrid methods, written by three experts, with contributions from three others, including the father of multigrid, Achi Brandt. The book can be used by graduate students with knowledge of differential eq...

Dec 1 2001
 
 
 
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