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A PARALLEL DIRECTIONAL FAST MULTIPOLE METHOD
parallel fast multipole methods N-body problems scattering problems Helmholtz equation oscillatory kernels directional multilevel
2015/7/14
This paper introduces a parallel directional fast multipole method (FMM) for solving N-body problems with highly oscillatory kernels, with a focus on the Helmholtz kernel in three dimensions. This cla...
The Technion school lecture notes:the moving plane method,or doing PDEs in a cafe
Technion school lecture notes moving plane method doing PDEs a cafe
2015/7/14
We will have two main characters in these notes: the maximum principle and the sliding method. The latter has a twin, the moving plane method–they are often so indistinguishable that we will count the...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Differential Equation Modeling Nesterov’s Accelerated Gradient Method
2015/7/8
We derive a second-order ordinary differential equation (ODE), which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can...
The Phase Flow Method
The phase flow method ordinary differential equations phase maps phase flow interpolation high-frequency wave propagation geometrical optics Hamiltonian dynamics ray equations wave arrival times Eulerian and Lagrangian formulations
2015/6/17
This paper introduces the phase flow method, a novel, accurate and fast approach for constructing phase maps for nonlinear autonomous ordinary differential equations. The method operates by initially ...
Fast Geodesics Computation with the Phase Flow Method
Geodesics weighted geodesics geodesic flow the phase flow method manifolds tangent bundles charts surface parameterization spline interpolation
2015/6/17
This paper introduces a novel approach for rapidly computing a very large number of geodesics on a smooth surface. The idea is to apply the recently developed phase flow method [15], an efficient and ...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Differential Equation Modeling Nesterov’s Accelerated Gradient Method Theory Insights
2015/6/17
We derive a second-order ordinary differential equation (ODE), which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Nesterov’s accelerated scheme convex optimization first-order methods differential equation restarting
2015/6/17
We derive a second-order ordinary differential equation (ODE) which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can ...
A method for screening active effects in supersaturated designs
screening active supersaturated designs
2015/3/20
A method for screening active effects in supersaturated designs.
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications
Generating Uniformly Scattered Points L p-norm Unit Sphere and Its Applications
2015/3/20
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications.
Bayesian Estimating Equation Based on Hilbert Space Method
Bayesian Estimating Equation Hilbert Space Method
2015/3/20
Bayesian Estimating Equation Based on Hilbert Space Method.
A method for screening active effects in supersaturated designs
Mixed-level Partial least-squares Supersaturated design
2015/3/18
A sup ersaturated design (SSD) is a design whose run size is not enough for estimating all the main effects. The goal in conducting such a design is to identify,
presumably only a few, relatively dom...
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications
Generating Uniformly Scattered Points L p-norm Unit Sphere
2015/3/18
In this paper we propose a method associated with an algorithm for
generating uniformly scattered points on the the Lp-norm unit sphere and
discuss its applications in statistical simulation, repres...
Finite Volume Local Evolution Galerkin Method for Two-dimensional Relativistic Hydrodynamics
Finite volume local evolution Galerkin method evolution operator genuinely multi-dimensional method relativistic hydrodynamics
2014/9/26
The paper proposes a second-order accurate nite volume local evolution Galerkin
(FVLEG) method for two-dimensional special relativistic hydrodynamical (RHD) e-quations. Instead of using the dimensio...
The approximate method of irregular oblique derivative problem for nonlinear elliptic equa-tions in multiply connected infinite domains
Approximate method irregular oblique derivative problem nonlinear elliptic equations multiply connected infinite domains
2014/9/26
n this article, we discuss the approximate method of solving irregular
oblique derivative problem for nonlinear uniformly elliptic equation of second order
u
z1 z =F(z; u; u
z
; u
zz
) in D; (0...
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Variational Iteration Method Singular Integral Equation Abel’s Kernel
2013/1/30
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approxi...