A fast iterative method for a class of Hamilton-Jacobi equations on parallel systems

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Publication Type technical report
School or College College of Engineering
Department Computing, School of
Program Advanced Research Projects Agency
Creator Whitaker, Ross T.
Other Author Jeong, Won-Ki
Title A fast iterative method for a class of Hamilton-Jacobi equations on parallel systems
Date 2007
Description In this paper we propose a novel computational technique, which we call the Fast Iterative Method (FIM), to solve a class of Hamilton- Jacobi (H-J) equations on massively parallel systems. The proposed method manages the list of active nodes and iteratively updates the solutions on those nodes until they converge. Nodes are added to or removed from the list based on a convergence measure, but the management of this list does not entail the the extra burden of ex- pensive ordered data structures or special updating sequences. The proposed method has suboptimal worst-case performance, but in prac- tice, on real and synthetic datasets, performs fewer computations per node than guaranteed-optimal alternatives. Furthermore, the proposed method uses only local, synchronous updates and therefore has better cache coherency, is simple to implement, and scales efficiently on par- allel architectures, such as cluster systems or graphics processing units (GPUs). This paper describes the method, the implementation on the GPU, and a performance analysis that compares the proposed method against the state-of-the-art H-J solvers.
Type Text
Publisher University of Utah
Subject Fast Iterative Method; FIM; Parallel systems
Subject LCSH Hamilton-Jacobi equations
Language eng
Bibliographic Citation Jeong, W.-K., & Whitaker, R. T. (2007). A fast iterative method for a class of hamilton-jacobi equations on parallel systems. UUCS-07-010.
Series University of Utah Computer Science Technical Report
Relation is Part of ARPANET
Rights Management ©University of Utah
Format Medium application/pdf
Format Extent 295,229 Bytes
Source University of Utah School of Computing
ARK ark:/87278/s6rv15sq
Setname ir_uspace
Date Created 2012-06-13
Date Modified 2021-05-06
ID 702543
Reference URL https://collections.lib.utah.edu/ark:/87278/s6rv15sq
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