Algorithms for Numerical Analysis in High Dimensions Part II: Operators in high dimensions

Gregory Beylkin
University of Colorado
Dept. of Applied Math

Our approach is based on the fact that a wide class of physically significant operators have low separation rank. To illustrate this point, we present a number of examples of such representations for Green's functions. These separated representations are combined with multiresolution representations of operators to produce fast algorithms in high dimensions. Such approach already resulted in a new method for computing electronic structure in quantum chemistry. We also briefly describe our work towards solving the multiparticle Schrdinger equation.

Presentation (PDF File)

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