Final technical report.

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In the last two dcades or so, many multiscale algorthms have been proposed to enable large scale computations which were thought as nearly intractable. For example, the fast multipole algorithm and other similar ideas have allowed to considerably speed up fundamental computations in electromagnetism, and many other fields. The thesis underlying this proposal is that traditional multiscale methods have been well-developed and it is clear that we now need new ideas in areas where traditional spatial multiscaling is ill-suited. In this context, the proposal argues that clever phase-space computations is bound to plan a crucial role in advancing algorithms and ... continued below

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Candes, Emmanuel J. November 6, 2007.

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Description

In the last two dcades or so, many multiscale algorthms have been proposed to enable large scale computations which were thought as nearly intractable. For example, the fast multipole algorithm and other similar ideas have allowed to considerably speed up fundamental computations in electromagnetism, and many other fields. The thesis underlying this proposal is that traditional multiscale methods have been well-developed and it is clear that we now need new ideas in areas where traditional spatial multiscaling is ill-suited. In this context, the proposal argues that clever phase-space computations is bound to plan a crucial role in advancing algorithms and high-performance scientific computing. Our research past accomplishments have shown the existence of ideas beyond the traditional scale-space viewpoint such as new multiscale geometric representations of phase-space. We have shown that these clever representations lead to enhanced sparsity. We have shown that enhanced sparsity has significant important implications both for analysis, and for numerical applications, where sparsity allows for faster algorithms. We have implemented these ideas and built computational tools to be used as new building blocks of a new generation of wave propagation solvers. Finally, we have deployed these ideas into novel algorithms. In this last year, we assembled all these techniques and made significant progress in solving a variety of computational problems, which we then applied in selected areas of considerable scientific interest.

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  • Report No.: DOE/ER25529/FINAL
  • Grant Number: FG02-02ER25529
  • DOI: 10.2172/894602 | External Link
  • Office of Scientific & Technical Information Report Number: 894602
  • Archival Resource Key: ark:/67531/metadc889140

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • November 6, 2007

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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Candes, Emmanuel J. Final technical report., report, November 6, 2007; United States. (digital.library.unt.edu/ark:/67531/metadc889140/: accessed November 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.