Results 141 to 150 of about 1,793 (184)
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The black-box fast multipole method
Journal of Computational Physics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eric Darvé
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Fast multipole and multifunction peec methods
IEEE Transactions on Mobile Computing, 2003A key use of the partial element equivalent circuit (PEEC) method is the solution of combined electromagnetic and circuit problems as they occur in many situations such as today's integrated circuit (VLSI) systems and as components in mobile devices. The method, which has been applied to a multitude of electrical interconnect and package problems, is ...
ANTONINI, GIULIO, Ruehli AE
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Fast Multipole Method for Multivariable Integrals
SIAM Journal on Numerical Analysis, 2005A method to evaluate multivariate integrals is presented. The proposed algorithm is an expansion of the fast multipole method. Many numerical examples are presented. These examples illustrate the efficiency and also the limitations of the algorithm.
Bokanowski, Olivier, Lemou, Mohammed
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A Matrix Version of the Fast Multipole Method
SIAM Review, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaobai Sun, Nikos P. Pitsianis
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An Implementation of the Fast Multipole Method without Multipoles
SIAM Journal on Scientific and Statistical Computing, 1992Based on Poisson's formula, an implementation of the fast multipole method is presented. Details concerning both two and three dimensions are discussed. Also, it is discussed how multigrid programming strategy can be used to facilitate programming of various methods. Parameter selection is also analyzed when using ``fast'' methods.
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A parallel adaptive fast multipole method
Proceedings of the 1993 ACM/IEEE conference on Supercomputing - Supercomputing '93, 1993Parallel versions of a representative N-body application that uses L. Greengard and V. Rokhlin's (1987) adaptive fast multipole method (FMM) are presented. While parallel implementations of the uniform FMM are straightforward and have been developed on different architectures, the adaptive version complicates the task of obtaining effective parallel ...
Jaswinder Pal Singh +3 more
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Contour Dynamics and the Fast Multipole Method
SIAM Journal on Scientific Computing, 1994Summary: Contour dynamics methods are used to evolve regions of constant vorticity moving under the Euler equations for an inviscid, incompressible fluid in two dimensions. If the induced velocity field is evaluated directly, contour dynamics methods require a CPU time per timestep proportional to \(N^ 2\) (\(N\) being the number of codes used to ...
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Multipole Ewald sums for the fast multipole method
Journal of Statistical Physics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schmidt, K. E., Lee, Michael A.
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A Generalized Fast Multipole Method for Nonoscillatory Kernels
SIAM Journal of Scientific Computing, 2003Summary: We present a modification of the fast multipole method (FMM) in two dimensions. While previous implementations of the FMM have been designed for harmonic kernels, our algorithm works for a large class of kernels that satisfy fairly general conditions, amounting to the kernel being sufficiently smooth away from the diagonal.
Zydrunas Gimbutas, Vladimir Rokhlin
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Efficient implementation of the fast multipole method
The Journal of Chemical Physics, 2006A number of computational techniques are described that reduce the effort related to the continuous fast multipole method, used for the evaluation of Coulomb matrix elements as needed in Hartree-Fock and density functional theories. A new extent definition for Gaussian charge distributions is proposed, as well as a new way of dividing distributions ...
Elias, Rudberg, Paweł, Sałek
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