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Continuous Curvelet Transform: II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator
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2015/8/21
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&...
Continuous Curvelet Transform:II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator Tight Frame
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2015/6/17
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 ...
Integrable semi-discretizations and full-discretization of the two dimensional Leznov lattice
Integrable system Integrable discretization cklund transformation Lax pair
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2012/8/8
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...
Symplectic Discretization for Spectral Element Solution of Maxwell’s Equations
Maxwell’s Equations Spectral Element Method Poisson System Sym-plectic Partitioned Runge-Kutta Method
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2012/8/8
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 ...
Efficient Discretization of Stochastic Integrals
Efficient Discretization Stochastic Integrals Probability
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2012/4/18
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...
Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients
Multigrid Preconditioner Elliptic Problems Jump Coefficients Numerical Analysis
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2011/9/1
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...
Second order discretization of Backward SDEs
Backward SDEs Second order Numerical analysis
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2011/2/28
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 ...
Discretization error of Stochastic Integrals
Discretization error Stochastic Integrals
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2010/4/28
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...
On the exact discretization of the classical harmonic oscillator equation
fnite differe ncenumerical schemes exactdis-cretizations geometric numerical integration classical harmonic oscillator energy integral
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2010/4/8
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. ...
DISCRETIZATION OF JUMP STOCHASTIC DIFFERENTIAL EQUATIONS IN TERMS OFMULTIPLE STOCHASTIC INTEGRALS
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2007/12/12
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...
Convergence Analysis of a Discretization Scheme for Gaussian Curvature over Triangular Surfaces
Gaussian Curvature Surface triangulation Convergence.
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2012/8/1
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...