Fast Updating Multipole Coulombic Potential Calculation

DOI10.1137/16M1096189zbMath1376.31005OpenAlexW2624536438MaRDI QIDQ5268992

Thomas A. Höft, Bradley K. Alpert

Publication date: 14 June 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1096189

zbMATH Keywords

fast multipole methodCoulomb potential of charged particles

Mathematics Subject Classification ID

Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Multipole methods applied to problems in optics and electromagnetic theory (78M16)

Related Items

A new algorithm for electrostatic interactions in Monte Carlo simulations of charged particles ⋮ Simulating Coulomb and log-gases with hybrid Monte Carlo algorithms

Uses Software

• FMMLIB3D
• ThermoData Engine

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient implementation of the Barnes-Hut octree algorithm for Monte Carlo simulations of charged systems
• A kernel-independent adaptive fast multipole algorithm in two and three dimensions
• Rapid solution of integral equations of classical potential theory
• A fast adaptive multipole algorithm in three dimensions
• A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method
• Randomized algorithms for the low-rank approximation of matrices
• Fast multipole methods for particle dynamics
• A Technique for Updating Hierarchical Skeletonization-Based Factorizations of Integral Operators
• A Fast Adaptive Multipole Algorithm for Particle Simulations
• Preconditioned, Adaptive, Multipole-Accelerated Iterative Methods for Three-Dimensional First-Kind Integral Equations of Potential Theory
• Understanding the Hastings Algorithm
• On the Compression of Low Rank Matrices
• A fast algorithm for particle simulations