Coulomb Interactions on Planar Structures: Inverting the Square Root of the Laplacian. - Zydrunas Gimbutas; Leslie Greengard; Michael L. Minion (SIAM J. Sci. Comput., 2001)

A Generalized Fast Multipole Method for Nonoscillatory Kernels. - Zydrunas Gimbutas; Vladimir Rokhlin (SIAM J. Sci. Comput., 2003)

On the Compression of Low Rank Matrices. - Hongwei Cheng; Zydrunas Gimbutas; Per-Gunnar Martinsson; Vladimir Rokhlin (SIAM J. Sci. Comput., 2005)

A wideband fast multipole method for the Helmholtz equation in three dimensions. - Hongwei Cheng; William Y. Crutchfield; Zydrunas Gimbutas; Leslie Greengard; J. Frank Ethridge; Jingfang Huang; Vladimir Rokhlin; Norman Yarvin; Junsheng Zhao (J. Comput. Phys., 2006)

A fast and stable method for rotating spherical harmonic expansions. - Zydrunas Gimbutas; Leslie Greengard (J. Comput. Phys., 2009)

A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions. - Hong Xiao; Zydrunas Gimbutas (Comput. Math. Appl., 2010)

A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures. - James Bremer; Zydrunas Gimbutas; Vladimir Rokhlin (SIAM J. Sci. Comput., 2010)

A Nyström method for weakly singular integral operators on surfaces. - James Bremer; Zydrunas Gimbutas (J. Comput. Phys., 2012)

On the numerical evaluation of the singular integrals of scattering theory. - James Bremer; Zydrunas Gimbutas (J. Comput. Phys., 2013)

Fast multi-particle scattering: A hybrid solver for the Maxwell equations in microstructured materials. - Zydrunas Gimbutas; Leslie Greengard (J. Comput. Phys., 2013)

A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications. - Zhi Liang; Zydrunas Gimbutas; Leslie Greengard; Jingfang Huang; Shidong Jiang (J. Comput. Phys., 2013)

A Fast Algorithm for Spherical Grid Rotations and Its Application to Singular Quadrature. - Zydrunas Gimbutas; Shravan K. Veerapaneni (SIAM J. Sci. Comput., 2013)

Boundary integral equation analysis on the sphere. - Felipe Vico; Leslie Greengard; Zydrunas Gimbutas (Numerische Mathematik, 2014)

A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress. - Zydrunas Gimbutas; Leslie Greengard (Adv. Comput. Math., 2016)

A fast simple algorithm for computing the potential of charges on a line. - Zydrunas Gimbutas; Nicholas F. Marshall; Vladimir Rokhlin (CoRR, 2019)

Evaluation of Abramowitz functions in the right half of the complex plane. - Zydrunas Gimbutas; Shidong Jiang; Li-Shi Luo (J. Comput. Phys., 2020)