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Statistical moments of the solution of the random Burgers–Riemann problem

Cunha, M. Cristina C.; Dorini, Fábio A. - In: Mathematics and Computers in Simulation (MATCOM) 79 (2009) 5, pp. 1440-1451

We solve Burgers’ equation with random Riemann initial conditions. The closed solution allows simple expressions for its statistical moments. Using these ideas we design an efficient algorithm to calculate the statistical moments of the solution. Our methodology is an alternative to the Monte...

Persistent link: https://www.econbiz.de/10011051129

Statistical moments for solutions of non-linear scalar equations with random Riemann data

Conceição, D.; Lambert, W. - In: Mathematics and Computers in Simulation (MATCOM) 107 (2015) C, pp. 120-133

In this paper we generalize the solution of random Riemann problem for a scalar equation, for flux function with one inflection point. We introduce both a bifurcation theory for the state space (uL, uR) and an efficient numerical method. The statistical moments are obtained from a computable...

Persistent link: https://www.econbiz.de/10011077442

Monte Carlo evaluation of FADE approach to anomalous kinetics

Marseguerra, M.; Zoia, A. - In: Mathematics and Computers in Simulation (MATCOM) 77 (2008) 4, pp. 345-357

In a wide range of transport phenomena in complex systems, the mean squared displacement of a particles plume has been often found to follow a non-linear relationship of the kind 〈x2(t)∝tα〉, where α may be greater or smaller than 1: these evidences have been described under the generic...

Persistent link: https://www.econbiz.de/10011051072

Identifying and removing sources of imprecision in polynomial regression

Brauner, Neima; Shacham, Mordechai - In: Mathematics and Computers in Simulation (MATCOM) 48 (1998) 1, pp. 75-91

Identification and removal of imprecision in polynomial regression, originating from random errors (noise) in the … independent variable data is discussed. The truncation error-to-noise ratio (TNR) is used to discriminate between imprecision … dominated by collinearity, or numerical error propagation, or inflated variance due to noise in the independent variable. It is …

Persistent link: https://www.econbiz.de/10010869874

McCulloch-Pitts strikes back: A biophysical interpretation of cortical neurons as sub-millisecond binary devices

Softky, William - In: Mathematics and Computers in Simulation (MATCOM) 40 (1995) 1, pp. 71-79

McCulloch and Pitts originally thought that cortical neurons computed using single spikes, with temporal resolution well under a millisecond. But the most popular current simplification of those neurons is as devices which perform computations based on real-valued firing rates, averaged over...

Persistent link: https://www.econbiz.de/10010870134

Synchronization effects in networks of stochastic bistable oscillators

Anishchenko, V.S.; Sosnovtseva, O.V.; Kopejkin, A.S.; … - In: Mathematics and Computers in Simulation (MATCOM) 58 (2002) 4, pp. 469-476

We study the collective dynamics of one- and two-dimensional lattices of coupled stochastic, non-homogeneous oscillators in terms of synchronization. This phenomenon manifests itself as an entrainment of the mean switching frequencies in the form of frequency-locking and frozen synchronized...

Persistent link: https://www.econbiz.de/10010870224

Flow and diffusion distributed structures with noise at the inlet

Kuptsov, Pavel V.; Satnoianu, Razvan A. - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 2, pp. 201-218

constant. Normally, theoretical studies of these patterns are developed without concerning a noise. In this paper we consider … FDS for a more realistic conditions and assume that the inlet concentrations are perturbed by a small noise. When the flow … rate is small, the FDS is linearly sensitive to noise at the inlet. Even weak fluctuations destroy the stationary pattern …

Persistent link: https://www.econbiz.de/10010748500