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We develop a unifying perspective on several decompositions exhibiting directional parabolic scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales, with e&...
We develop a unifying perspective on several decompositions exhibiting directional parabolic scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales, with effective ...
In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via Hirota's bilinear formalism. As a result, two integrable semi-discrete versions and one fully di...
Based on the GLL-spectral element discretization of time-dependent Maxwell’s equa- tions introduced recently, we obtain a Poisson system or a Poisson system with a little oscillation. We prove that ...
Sharp asymptotic lower bounds of the expected quadratic variation of discretization error in stochastic integration are given. The theory relies on inequalities for the kurtosis and skewness of a gene...
Abstract: In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic pr...
In [5] the authors suggested a new algorithm for the numerical approximation of a BSDE by merging the cubature method with the first order discretization developed by Bouchard and Touzi [3] and Zhang ...
Asymptotic error distribution for approximation of a stochastic integral with respect to continuous semimartingale by Riemann sum with general stochastic partition is studied. Effective discretization...
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. ...
In the Stratonovich-Taylor and Stratonovich-Taylor-Hall discretization schemes for stochastic differential equations (SDEs), there appear two types of multiple stochastic integrals respectively. The...
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface.Suppose the triangulation is obta...

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