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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 18
Reviews about "Multigrid And Multilevel Methods (G.1.8...)":
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An asymptotic version of the multigraph 1-factorization conjecture
Vaughan E. Journal of Graph Theory 72(1): 19-29, 2013. Type: Article
A multigraph is a graph in which two vertices are contained in more than one edge, but loops are not allowed. A set of edges is parallel if all of its edges contain the same two vertices. The size of the largest parallel set of edges is called...
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Mar 29 2013 |
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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 mathematical...
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Feb 11 2013 |
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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 converge quickly...
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Aug 20 2012 |
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 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 research...
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May 18 2009 |
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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 methods...
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Mar 17 2009 |
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Combining building blocks for parallel multi-level matrix multiplication
Hunold S., Rauber T., Rünger G. Parallel Computing 34(6-8): 411-426, 2008. Type: Article
It is well known that Strassen’s recursive matrix multiplication [1], replacing eight multiplication by seven, is not practicable for small matrices; however, it may be valuable for large ones. Hunold et al. propose a three-level model:...
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Oct 24 2008 |
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PyTrilinos: high-performance distributed-memory solvers for Python
Sala M., Spotz W., Heroux M. ACM Transactions on Mathematical Software 34(2): 1-33, 2008. Type: Article
The development of high-performance subroutine packages for scientific computing frequently takes place in a tension field between a number of mutually exclusive objectives. The most important goals are probably speed and efficiency on the one...
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Apr 30 2008 |
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2LEV-D2P4: a package of high-performance preconditioners for scientific and engineering applications
Buttari A., D’Ambra P., di Serafino D., Filippone S. Applicable Algebra in Engineering, Communication and Computing 18(3): 223-239, 2007. Type: Article
Mathematical modeling of real-life phenomena and engineering problems often involves solving very large and frequently ill-conditioned sparse linear systems of equations—preconditioning techniques are often employed to address this...
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Jan 14 2008 |
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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 a new type...
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Apr 20 2006 |
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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 surface wind) ...
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Nov 10 2004 |
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