A method to compute periodic sums
From MaRDI portal
Publication:349339
DOI10.1016/j.jcp.2014.04.039zbMath1349.65003arXiv1310.4374OpenAlexW2132403809MaRDI QIDQ349339
Nail A. Gumerov, Ramani Duraiswami
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4374
long-range interactionsmolecular dynamicsfast multipole methodEwald summationGPU computingkernel independent methodsperiodic sums
Numerical integration (65D30) Numerical summation of series (65B10) Numerical algorithms for specific classes of architectures (65Y10)
Related Items (11)
Laplace Green's functions for infinite ground planes with local roughness ⋮ Fast multipole boundary element method for the acoustic analysis of finite periodic structures ⋮ Recent Advances in Acoustic Boundary Element Methods ⋮ Flexibly imposing periodicity in kernel independent FMM: a multipole-to-local operator approach ⋮ HSMA: an \(O(N)\) electrostatics package implemented in LAMMPS ⋮ Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media ⋮ Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies ⋮ Harmonic Surface Mapping Algorithm for Electrostatic Potentials in an Atomistic/Continuum Hybrid Model for Electrolyte Solutions ⋮ A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm ⋮ Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects ⋮ Fast multipole method applied to Lagrangian simulations of vortical flows
Cites Work
- Unnamed Item
- Unnamed Item
- Spectral accuracy in fast Ewald-based methods for particle simulations
- Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation
- A new integral representation for quasi-periodic scattering problems in two dimensions
- A Fourier-series-based kernel-independent fast multipole method
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- Spectrally accurate fast summation for periodic Stokes potentials
- A free-space adaptive FMM-based PDE solver in three dimensions
- On the fast multipole method for computing the energy of periodic assemblies of charged and dipolar particles
- A periodic FMM for Maxwell's equations in 3D and its applications to problems related to photonic crystals
- Fast multipole methods on graphics processors
- Fast electrostatic force calculation on parallel computer clusters
- The black-box fast multipole method
- On the Rokhlin-Greengard method with vortex blobs for problems posed in all space or periodic in one direction
- A multipole-based algorithm for efficient calculation of forces and potentials in macroscopic periodic assemblies of particles
- Fast multipole method for the biharmonic equation in three dimensions
- A kernel independent fast multipole algorithm for radial basis functions
- A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations
- The distribution of points on the sphere and corresponding cubature formulae
- Radial Basis Functions
- A Generalized Fast Multipole Method for Nonoscillatory Kernels
- Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
- A fast algorithm for particle simulations
This page was built for publication: A method to compute periodic sums