Tony F. Chan April 16, 1990  Home/Search
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Abstract: There has been a recent emergence of many interesting and highly efficient hierarchical (multilevel) algorithms (e.g. multigrid, domain decomposition, wavelets, multilevel preconditioning, the fast multipole algorithms, etc.) for solving numerical problems in scientific computing. These algorithms derive their efficiency from using a hierarchical approach to capture the sharing of global information which is inherent in the physical processes being modelled. In addition to being computationally ... (Update)
Context of citations to this paper: More
...phase takes an insignificant portion of the overall parallel time. Both assumptions are valid for many important scientific algorithms [1,8,9,10]. 2 SEQUENTIAL SPECIFICATION PARTITIONING SCHEME 1st Phase INTERMEDIATE REPRESENTATION PARSER TASK FLOW GRAPH INPUT VALUES...
...parallel numerical algorithms are available. Many parallel algorithms have been proposed for solving partial differential equations [3], but little work has been done for initial value problems (IVPs) of ordinary differential equation (ODEs) although there is a great demand....
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BibTeX entry: (Update)
T.F. Chan. Hierarchical algorithms and architectures for parallel scientific computing. In Proc. ACM Int'l Conf. Supercomputing, Amsterdam, The Netherlands, pages 318--329, 1990. http://citeseer.ist.psu.edu/chan90hierarchical.html More
@inproceedings{ chan90hierarchical,
author = "T. F. Chan",
title = "Hierarchical algorithms and architectures for parallel scientific computing",
booktitle = "Proceedings of the {ACM} International Conference on Supercomputing, Amsterdam, The Netherlands",
publisher = "ACM",
address = "New York",
pages = "318--329",
year = "1990",
url = "citeseer.ist.psu.edu/chan90hierarchical.html" }
Citations (may not include all citations):267 Multi-level Adaptive Solutions to Boundary-Value Problems (context) - Brandt - 1977
220 Parallel multilevel preconditioners (context) - Bramble, Pasciak et al.
93 The hierarchical basis multigrid method - Bank, Dupont et al. - 1988
31 Domain Decomposition Methods (context) - Chan, Glowinski et al. - 1989
12 An Implicit Factored Scheme for the Compressible Navier-Stok.. (context) - Beam, Warming - 1978
12 Parallel elliptic preconditioners: Fourier analysis and perf.. (context) - Chan, Kuo et al. - 1989
4 Effectively Well-Conditioned Linear Systems (context) - Chan, Foulser - 1988
1 An algebraic framework for multilevel methods (context) - Axelsson - 1988
1 The Physics of the Parallel Machines (context) - Chan - 1989
1 Multigrid Algorithms (context) - Chan, Saad
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