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FAST DISCRETE CURVELET TRANSFORMS
two-dimensional and three-dimensional curvelet transforms fast Fourier transforms unequally spaced fast Fourier transforms smooth partitioning interpolation digital shear filtering wrapping
2015/7/14
This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform in two and three dimensions. The first digital transformation is base...
Discrete Symbol Calculus
sublinear complexity inversion of elliptic operators square root of elliptic operators
2015/7/14
This paper deals with efficient numerical representation and manipulation of differential and integral operators as symbols in phase-space, i.e., functions of space x and frequency ξ. The symbol smoot...
The blow-up theorem of a discrete semilinear wave equation
The blow-up theorem semilinear wave equation Analysis of PDEs
2011/9/1
Abstract: In this paper, the discretization of a nonlinear wave equation whose nonlinear term is a power function is introduced. The difference equation derived by discretizing the nonlinear wave equa...
Entropy power inequality for a family of discrete random variables
Entropy power inequality family of discrete random variables
2011/1/17
It is known that the Entropy Power Inequality (EPI) always holds if the random variables have density. Not much work has been done to identify discrete distributions for which the inequality holds wit...
The discrete-time parabolic Anderson model with heavy-tailed potential
Parabolic Anderson Model Directed Polymer Heavy Tailed Potential
2011/2/24
We consider a discrete-time version of the parabolic Anderson model. This may be described as a model for a directed (1+ d)-dimensional polymer interacting with a random potential, which is constant i...
Probabilistic methods for discrete nonlinear Schrödinger equations
Nonlinear Schrodinger equation invariant measure discrete breather exactly solvable model
2010/12/14
Using techniques from probability theory, we show that the thermodynamics of the focusing cubic discrete nonlinear Schrodinger equation (NLS) are exactly solvable in dimensions three and higher.A num...