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Continuous Curvelet Transform: II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator
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
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 ...
On the sensitivity of 3-D thermal convection codes to numerical discretization: a model intercomparison
numerical discretization 3-D thermal convection codes
2014/12/19
Fully 3-D numerical simulations of thermal convection in a spherical shell have become a standard for studying the dynamics of pattern formation and its stability under perturbations to various parame...
Integrable semi-discretizations and full-discretization of the two dimensional Leznov lattice
Integrable system Integrable discretization cklund transformation Lax pair
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
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 ...
On Discretization of Tori of Compact Simple Lie Groups II
Discretization of Tori Compact Simple Lie Groups II Mathematical Physics
2012/6/14
The discrete orthogonality of special function families, called $C$- and $S$-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivn\'ak and Patera (2009 J...
Efficient Discretization of Stochastic Integrals
Efficient Discretization Stochastic Integrals Probability
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
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
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 ...
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
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. ...
The effects of the model errors generated by discretization of on-off processes on VDA
model errors discretization of on-off processes VDA
2009/11/9
Through an idealized model of a partial differential equation with discontinuous "on-off'' switches in the forcing term, we investigate the effect of the model error generated by the traditional discr...
Simulation of Discharge using Different Methods of Meteorological Data Distribution,Basin Discretization and Snow Modelling
Simulation of Discharge Meteorological Data Basin Discretization Snow Modelling
2009/10/26
This contribution investigates the performance of discharge modelling when
proceeding from rather simple methods of snowmelt modelling to more sophisticated,
distributed approaches. In all cases, th...
Discretization Independent Retrieval of Atmospheric Ozone Profile
University of Oulu,Department of Mathematical Sciences,FIN-90401 Oulu,Finland Sodankylä Geophysical Observatory,FIN-99600 Sodankylä ,Finland
2009/6/10
A simulation based study on the remote sensing problem of retrieving the atmospheric ozone
profile is performed so that the effects of the discretization error can be analyzed.
The retrieved profile...
DISCRETIZATION OF JUMP STOCHASTIC DIFFERENTIAL EQUATIONS IN TERMS OFMULTIPLE STOCHASTIC INTEGRALS
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...