No abstract

No abstract

The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information.Send comments regarding this burden estimate or any other aspect of this collection of information, including suggesstions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA, 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any oenalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. a. REPORT SEPARATED REPRESENTATIONS AND FAST ALGORITHMS FOR MATERIALS SCIENCE14. ABSTRACT SECURITY CLASSIFICATION OF:Our goal (within the time-frame of the grant) was to finish the development of algorithms and software for applying Green's functions (and other operators) and to develop and test algorithms for computing multiparticle wave functions, both based based on representing operators and functions of many variables as short sums of separable functions, the so-called separated representations. Our approach is different from the Fast Approved for public release; Federal purpose rights SEPARATED REPRESENTATIONS AND FAST ALGORITHMS FOR MATERIALS SCIENCEReport Title ABSTRACTOur goal (within the time-frame of the grant) was to finish the development of algorithms and software for applying Green's functions (and other operators) and to develop and test algorithms for computing multiparticle wave functions, both based based on representing operators and functions of many variables as short sums of separable functions, the so-called separated representations. Our approach is different from the Fast Multipole Method and allows us to develop and use fast algorithms in high dimensions.We have accomplished these tasks with the results described in two papers attached to this report. We started the process of comparing our approach to solving multiparticle Schrodinger equation to that currently used in Quantum Chemistry. Number of Presentations:3.00 Non Peer-Reviewed Conference Proceeding publications (other than abstracts): Number of Non Peer-Reviewed Conference Proceeding publications (other than abstracts):0 Peer-Reviewed Conference Proceeding publications (other than abstracts): (d) ManuscriptsNumber of Peer-Reviewed Conference Proceeding publications (other than abstracts): 0 Number of Manuscripts:0.00 Number of Inventions:Graduate Students PERCENT_SUPPORTED NAME FTE Equivalent:Total Number: Names of Under Graduate students supported PERCENT_SUPPORTED NAME Names of Post Doctorates FTE Equivalent:Total Number:The number of undergraduates funded by this agreement who graduated during this period with a degree in science, mathematics, engineering, ...

No abstract