A new version of the fast multipole method for screened Coulomb interactions in three dimensions
Journal of Computational Physics
Locally corrected Nyström method for EM scattering by bodies of revolution
Journal of Computational Physics
A kernel-independent adaptive fast multipole algorithm in two and three dimensions
Journal of Computational Physics
An adaptive fast solver for the modified Helmholtz equation in two dimensions
Journal of Computational Physics
A fast direct solver for scattering problems involving elongated structures
Journal of Computational Physics
High performance BLAS formulation of the multipole-to-local operator in the fast multipole method
Journal of Computational Physics
On the evaluation of layer potentials close to their sources
Journal of Computational Physics
High-order local absorbing conditions for the wave equation: Extensions and improvements
Journal of Computational Physics
Fast electrostatic force calculation on parallel computer clusters
Journal of Computational Physics
High-order Absorbing Boundary Conditions for anisotropic and convective wave equations
Journal of Computational Physics
Computers & Mathematics with Applications
Efficient discretization of Laplace boundary integral equations on polygonal domains
Journal of Computational Physics
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions
Journal of Computational and Applied Mathematics
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
SIAM Journal on Scientific Computing
A Bootstrap Method for Sum-of-Poles Approximations
Journal of Scientific Computing
Quadrature by expansion: A new method for the evaluation of layer potentials
Journal of Computational Physics
Faster fast evaluation of thin plate splines in two dimensions
Journal of Computational and Applied Mathematics
A new Fast Multipole formulation for the elastodynamic half-space Green's tensor
Journal of Computational Physics
Hi-index | 0.07 |
Generalized Gaussian quadratures appear to have been introduced by Markov late in the last century and have been studied in great detail as a part of modern analysis. They have not been widely used as a computational tool, in part due to an absence of effective numerical schemes for their construction. Recently, a numerical scheme for the design of such quadratures was introduced by Ma et al.; numerical results presented in their paper indicate that such quadratures dramatically reduce the computational cost of the evaluation of integrals under certain conditions. In this paper, we modify their approach, improving the stability of the scheme and extending its range of applicability. The performance of the method is illustrated with several numerical examples.