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You searched for +publisher:"University of North Carolina" +contributor:("Zhang, Bo"). One record found.

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University of North Carolina

1. Zhang, Bo. Integral-equation-based fast algorithms and graph-theoretic methods for large-scale simulations.

Degree: Mathematics, 2010, University of North Carolina

In this dissertation, we extend Greengard and Rokhlin's seminal work on fast multipole method (FMM) in three aspects. First, we have implemented and released open-source new-version of FMM solvers for the Laplace, Yukawa, and low-frequency Helmholtz equations to further broaden and facilitate the applications of FMM in different scientific fields. Secondly, we propose a graph-theoretic parallelization scheme to map the FMM onto modern parallel computer architectures. We have particularly established the critical path analysis, exponential node growth condition for concurrency-breadth, and a spatio-temporal graph partition strategy. Thirdly, we introduce a new kernel-independent FMM based on Fourier series expansions and discuss how information can be collected, compressed, and transmitted through the tree structure for a wide class of kernels. Advisors/Committee Members: Zhang, Bo, Huang, Jingfang.

Subjects/Keywords: College of Arts and Sciences; Department of Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Zhang, B. (2010). Integral-equation-based fast algorithms and graph-theoretic methods for large-scale simulations. (Thesis). University of North Carolina. Retrieved from https://cdr.lib.unc.edu/record/uuid:646b5d55-85b5-4b37-8335-9189f38f8c9a

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Zhang, Bo. “Integral-equation-based fast algorithms and graph-theoretic methods for large-scale simulations.” 2010. Thesis, University of North Carolina. Accessed November 27, 2020. https://cdr.lib.unc.edu/record/uuid:646b5d55-85b5-4b37-8335-9189f38f8c9a.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Zhang, Bo. “Integral-equation-based fast algorithms and graph-theoretic methods for large-scale simulations.” 2010. Web. 27 Nov 2020.

Vancouver:

Zhang B. Integral-equation-based fast algorithms and graph-theoretic methods for large-scale simulations. [Internet] [Thesis]. University of North Carolina; 2010. [cited 2020 Nov 27]. Available from: https://cdr.lib.unc.edu/record/uuid:646b5d55-85b5-4b37-8335-9189f38f8c9a.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zhang B. Integral-equation-based fast algorithms and graph-theoretic methods for large-scale simulations. [Thesis]. University of North Carolina; 2010. Available from: https://cdr.lib.unc.edu/record/uuid:646b5d55-85b5-4b37-8335-9189f38f8c9a

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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