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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, ...
