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APPML
2011
12 years 11 months ago
An operator theoretical approach to a class of fractional order differential equations
We propose a general method to obtain the representation of solutions for linear fractional order differential equations based on the theory of (a, k)-regularized families of oper...
Carlos Lizama
CMA
2010
134views more  CMA 2010»
13 years 1 months ago
Particle tracking for fractional diffusion with two time scales
Abstract. Previous work [51] showed how to solve time-fractional diffusion equations by particle tracking. This paper extends the method to the case where the order of the fraction...
Mark M. Meerschaert, Yong Zhang, Boris Baeumer
TSP
2011
151views more  TSP 2011»
12 years 11 months ago
Stochastic Models for Sparse and Piecewise-Smooth Signals
Abstract—We introduce an extended family of continuous-domain stochastic models for sparse, piecewise-smooth signals. These are specified as solutions of stochastic differential...
Michael Unser, Pouya Dehghani Tafti
CAD
2004
Springer
13 years 4 months ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin
SIMPRA
2008
106views more  SIMPRA 2008»
13 years 4 months ago
CEST and MEST: Tools for the simulation of radio frequency electric discharges in waveguides
In this paper we present two software tools for the simulation of electron multiplication processes in radio frequency (RF) waveguides. The electric discharges are caused by the m...
Francisco Pérez, Juan de Lara, Luis Conde, ...