19 citations · 137 across the 64 of their papers we have counts for
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Layer potential quadrature on manifold boundary elements with constant densities for Laplace and Helmholtz kernels in
Shoken Kaneko, Ramani Duraiswami
A method is proposed for evaluation of single and double layer potentials of the Laplace and Helmholtz equations on piecewise smooth manifold boundary elements with constant densit…
Efficient Exact Quadrature of Regular Solid Harmonics Times Polynomials Over Simplices in
Shoken Kaneko, Ramani Duraiswami
A generalization of a recently introduced recursive numerical method for the exact evaluation of integrals of regular solid harmonics and their normal derivatives over simplex elem…
Numerical geometric acoustics: an eikonal-based approach for modeling sound propagation in 3D environments
Samuel F. Potter, Maria K. Cameron, Ramani Duraiswami
We present algorithms for solving high-frequency acoustic scattering problems in complex domains. The eikonal and transport partial differential equations from the WKB/geometric op…
Efficient Fast Multipole Accelerated Boundary Elements via Recursive Computation of Multipole Expansions of Integrals
Nail A. Gumerov, Shoken Kaneko, Ramani Duraiswami
In boundary element methods (BEM) in , matrix elements and right hand sides are typically computed via analytical or numerical quadrature of the layer potential multi…
Analytical computation of boundary integrals for the Helmholtz equation in three dimensions
Nail A. Gumerov, Ramani Duraiswami
A key issue in the solution of partial differential equations via integral equation methods is the evaluation of possibly singular integrals involving the Green's function and its…
Fast multipole accelerated boundary element methods for room acoustics
Nail A. Gumerov, Ramani Duraiswami
The direct and indirect boundary element methods, accelerated via the fast multipole method, are applied to numerical simulation of room acoustics for large rooms of volume $\sim 1…
Laplace Green's Functions for Infinite Ground Planes with Local Roughness
Nail Gumerov, Ramani Duraiswami
The Green's functions for the Laplace equation respectively satisfying the Dirichlet and Neumann boundary conditions on the upper side of an infinite plane with a circular hole are…
Fast and Stable Pascal Matrix Algorithms
Samuel F. Potter, Ramani Duraiswami
In this paper, we derive a family of fast and stable algorithms for multiplying and inverting Pascal matrices that run in time and are closely related t…
Fast Multipole Method based filtering of non-uniformly sampled data
Nail A. Gumerov, Ramani Duraiswami
Non-uniform fast Fourier Transform (NUFFT) and inverse NUFFT (INUFFT) algorithms, based on the Fast Multipole Method (FMM) are developed and tested. Our algorithms are based on a n…
Preconditioned Krylov solvers for kernel regression
Balaji Vasan Srinivasan, Qi Hu, Nail A. Gumerov +2
A primary computational problem in kernel regression is solution of a dense linear system with the kernel matrix. Because a direct solution has an O() cost, iterat…
Recursive computation of spherical harmonic rotation coefficients of large degree
Nail A. Gumerov, Ramani Duraiswami
Computation of the spherical harmonic rotation coefficients or elements of Wigner's d-matrix is important in a number of quantum mechanics and mathematical physics applications. Pa…
Alternative Tilings for the Fast Multipole Method on the Plane
Yuancheng Luo, Ramani Duraiswami
The fast multipole method (FMM) performs fast approximate kernel summation to a specified tolerance by using a hierarchical division of the domain, which groups source and rece…