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Scrambled geometric net integration over general product spaces     Discrepancy  Multiresolution  Rendering  Scrambled net       font style='font-size:12px;'> 2015/8/21
Quasi-Monte Carlo (QMC) sampling has been developed for integration over [0;1]s where it has superior accuracy to Monte Carlo (MC) for integrands of bounded variation.
Integration on p-adic groups and Crystal bases     p-adic groups  Crystal bases       font style='font-size:12px;'> 2015/7/6
Kashiwara de ned the notion of a crystal, and gave examples of crystal structures associated with bases of representations of quantum groups. We recommend the expository article Kashiwara [7], writt...
This paper addresses the optimal recovery of functions from Hilbert spaces of functions on the unit disc. The estimation, or recovery, is performed from inaccurate information given by integration alo...
In the paper, the Bismut derivative formula is established for multidimensional SDEs driven by additive fractional noise ($1/2and moreover the Harnack inequality is given. Through a Lamperti t...
We present a computational gas dynamics method based on the Spectral Deferred Corrections (SDC) time integration technique and the Piecewise Parabolic Method (PPM) finite volume method. The PPM framew...
Abstract: Partition of unity methods, such as the extended finite element method (XFEM) allow discontinuities to be simulated independently of the mesh [1]. This eliminates the need for the mesh to be...
Abstract: The problem of a disc and a ball rolling on a horizontal plane without slipping is considered. Differential constrained equations are shown to be integrated when the trajectory of the point ...
Abstract: We study the stochastic homogenization of the system -div \sigma^\epsilon = f^\epsilon \sigma^\epsilon \in \partial \phi^\epsilon (\nabla u^\epsilon), where (\phi^\epsilon) is a sequence of ...
In this paper, the numerical differentiation by integration method based on Jacobi polynomials originally introduced by Mboup, Fliess and Join [20, 21] is revisited in the central case where the used ...
For p prime, we give an explicit formula for Igusa’s local zeta function associated to a polynomial mapping f = (f1, . . . , ft) : Qn p ! Qt p,with f1, . . . , ft 2 Zp[x1, . . . , xn], and an integrat...
We use Chen's iterated integrals to integrate representations up to homotopy. That is, we construct an A_infty functor from the representations up to homotopy of a Lie algebroid to those of its infin...
The local integration of Leibniz algebras     Leibniz algebras  math       font style='font-size:12px;'> 2010/11/23
This article gives a local answer to the coquecigrue problem. Hereby we mean the problem, formulated by J-L. Loday in \cite{LodayEns}, is that of finding a generalization of the Lie's third theorem fo...
An integration of Euler's pentagonal partition      Euler's pentagonal partition        font style='font-size:12px;'> 2010/12/8
A recurrent formula is presented, for the enumeration of the compositions of positive integers as sums over multisets of positive integers, that closely resembles Euler’s recurrence based on the penta...
Parameterized Adaptive Multidimensional Integration Routines (PAMIR): Localization by Repeated 2^p Subdivision.
Line integration of generalized functions is studied. Second or-der partial differential equations with piecewise continuous and gen-eralized variable coefficients over Cayley-Dickson algebras are inv...

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