High performance BLAS formulation of the multipole-to-local operator in the fast multipole method
نویسندگان
چکیده
منابع مشابه
Optimizing the multipole-to-local operator in the fast multipole method for graphical processing units
This paper presents a number of algorithms to run the fast multipole method (FMM) on NVIDIA CUDAcapable graphical processing units (GPUs) (Nvidia Corporation, Sta. Clara, CA, USA). The FMM is a class of methods to compute pairwise interactions between N particles for a given error tolerance and with computational cost of O.N /. The methods described in the paper are applicable to any FMMs in wh...
متن کاملA Simple Formulation of the Fast Multipole Method: Pseudo-Particle Multipole Method
We present the pseudo-particle multipole method (PM), a new method to handle multipole expansion in fast multipole method and treecode. This method uses a small number of pseudo-particles to express multipole expansion. With this method, the implementation of FMM and treecode with high-order multipole terms is greatly simplified. We applied PM to treecode and combined it with special-purpose co...
متن کاملThe fast multipole method for the symmetric boundary integral formulation
A symmetric Galerkin boundary-element method is used for the solution of boundary-value problems with mixed boundary conditions of Dirichlet and Neumann type. As a model problem we consider the Laplace equation. When an iterative scheme is employed for solving the resulting linear system, the discrete boundary integral operators are realized by the fast multipole method. While the single-layer ...
متن کاملAn Automatic Learning System to Derive Multipole and Local Expansions for the Fast Multipole Method
This paper introduces an automatic learning method based on genetic programming to derive local and multipole expansions required by the Fast Multipole Method (FMM). FMM is a well-known approximation method widely used in the field of computational physics, which was first developed to approximately evaluate the product of particular N × N dense matrices with a vector in O(N log N) operations. ...
متن کاملThe Inverse Fast Multipole Method
This article introduces a new fast direct solver for linear systems arising out of wide range of applications, integral equations, multivariate statistics, radial basis interpolation, etc., to name a few. The highlight of this new fast direct solver is that the solver scales linearly in the number of unknowns in all dimensions. The solver, termed as Inverse Fast Multipole Method (abbreviated as...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2008
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2007.09.027