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A kernel-independent adaptive fast multipole algorithm in two and three dimensions
Fast multipole methods Fast solvers Integral equations Single-layer potential Double-layer potential Particle methods N-body problems
2015/7/14
We present a new fast multipole method for particle simulations. The main feature of our algorithm is that it does not require the implementation of multipole expansions of the underlying kernel, and ...
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
Second kind integral equation Dirichlet problem Biharmonic equation
2015/7/14
A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on th...
Random Walks and Plane Arrangements in Three Dimensions.
Inexact Solvers for Saddle-point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions
Domain decompostion geometrically non-conforming Lagrange multiplier saddle-point system preconditioners conditionnumber
2012/8/8
In this paper, a domain decomposition method with lagrange mul-
tipliers based on geometrically non-conforming subdomain partitions
for three dimensional linear elasticity is considered. Because of ...
Abstract: We show that the number of unit distances determined by n points in R^3 is O(n^{3/2}), slightly improving the bound of Clarkson et al. established in 1990. The new proof uses the recently in...
On the spectral properties of L_{+-} in three dimensions
spectral properties three dimensions Analysis of PDEs
2011/8/23
Abstract: This paper is part of the radial asymptotic stability analysis of the ground state soliton for either the cubic nonlinear Schrodinger or Klein-Gordon equations in three dimensions. We demons...
On a pseudo generalized system of Carlemann in three dimensions
Decomposition of operators Carleman system kinetc gas
2010/9/25
In this work, we propose to study a generalized problem called pseudo Carlemann system in three dimensions. We will use the decomposition of operators method , who cut the problem into two problems wh...
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
The densest local packings of N three-dimensional identical nonoverlapping spheres within a
radius Rmin(N) of a fixed central sphere of the same size are obtained for selected values of N up to N = 1...
Positive recurrence of reflecting Brownian motion in three dimensions
Reflecting Brownian motion transience Skorohod problem
2010/12/14
Consider a semimartingale reflecting Brownian motion (SRBM)Z whose state space is the d-dimensional nonnegative orthant. The data for such a process are a drift vector , a nonsingular d×d covariance ...
On the computation of the Hausdorff metric between digitised images in three dimensions
fractals Hausdorff metric image comparison
2010/9/14
Efficient and fast solutions to the problem of computing the Hausdorff metric between two arbitrary grey-scale, digitised images are considered. The more efficient of the techniques proposed here cons...