Gregory Beylkin

TL;DR: A new, quadratically convergent algorithm for finding maximum absolute value entries of tensors represented in the canonical format and it is shown how to use this algorithm to find global maxima of non-convex multivariate functions in separated form.

TL;DR: In this article, Fann summarizes the major accomplishments in computational chemistry which represent the first substantial application of most of these new ideas in three and higher dimensions, including basis set limit computation with linear scaling for Hartree-Fock and Density Functional Theory with a wide variety of functionals including hybrid and asymptotically corrected forms.

TL;DR: This approach also yields generalized Gaussian quadratures for exponentials integrated against a non-sign-definite weight function and compute quadrature weights via l 2 and l ∞ minimization and compare the corresponding quadRature errors.

TL;DR: In this paper, the unequally spaced Fourier transform (USFFT) was applied to SAR image formation and compared with a conventional algorithm, and the USFFT algorithm allowed comparable accuracy to traditional approaches at a slightly reduced computational cost.

TL;DR: An adaptive multidimensional algorithm for solving strictly elliptic PDEs is described and a diagonally preconditioned “constrained” conjugate gradient (CG) method is used to compute the actual coefficients of the approximate solution.