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dc.creatorAvila, Gustavoen_US
dc.creatorCarrington, Tucker, Jr.en_US
dc.date.accessioned2011-07-12T17:29:08Z
dc.date.available2011-07-12T17:29:08Z
dc.date.issued2011en_US
dc.identifier2011-RI-08en_US
dc.identifier.urihttp://hdl.handle.net/1811/49380
dc.descriptionAuthor Institution: Chemistry Department, Queen's University, Kingston, Ontario K7L 3N6, Canadaen_US
dc.description.abstractSpectra are computed by solving the time-independent Schrodinger equation. If the number of atoms in a molecule is greater than about 4 the dimensionality of the Schrodinger equation makes solution very difficult. Standard discretization strategies for large dimensional systems $D\ge 9$ yield matrices and vectors that are too large for modern computers. This is the so-called "curse of dimensionality". Both the basis size and quadrature grid size are problems. Several ingenious schemes have been developed in the last decades to reduce the basis size. We have focused on reducing the size of the quadrature grid. The Smolyak algorithm allows one to create non-product quadrature grids with structure. Because of the structure they can be used with pruned product basis sets and the Lanczos algorithm to compute spectra. In this talk we shall explain the nature of these grids and why they are useful for computing spectra.en_US
dc.language.isoenen_US
dc.publisherOhio State Universityen_US
dc.titleNON-PRODUCT SMOLYAK GRIDS FOR COMPUTING SPECTRA: HOW AND WHY?en_US
dc.typeArticleen_US
dc.typeImageen_US
dc.typePresentationen_US


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