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AMC
2010
115views more  AMC 2010»
13 years 4 months ago
The probability density function to the random linear transport equation
: We present a formula to calculate the probability density function of the solution of the random linear transport equation in terms of the density functions of the velocity and t...
L. T. Santos, Fábio Antonio Dorini, Maria C...
CSC
2006
13 years 6 months ago
Statistical Analysis of Linear Random Differential Equation
In this paper, a new method is proposed in order to evaluate the stochastic solution of linear random differential equation. The method is based on the combination of the probabili...
Seifedine Kadry
HICSS
2002
IEEE
100views Biometrics» more  HICSS 2002»
13 years 9 months ago
Calculation of the Probability Density Function of Critical Clearing Time in Transient Stability Analysis
In this paper, the critical clearing time, tcc in power system transient stability analysis is modeled as a random variable due to the randomness nature of power system load. A lin...
Yiqiao Liang, Saffet Ayasun, Chika Nwankpa
SIAMSC
2008
116views more  SIAMSC 2008»
13 years 4 months ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens
SIAMAM
2000
128views more  SIAMAM 2000»
13 years 4 months ago
Advection-Diffusion Equations for Internal State-Mediated Random Walks
Abstract. In many biological examples of biased random walks, movement statistics are determined by state dynamics that are internal to the organism or cell and that mediate respon...
Daniel Grünbaum