Benno Fellenberg; Jürgen vom Scheidt; Matthias Richter : Simulation of Weakly Correlated Functions and its Application to Random Surfaces and Random Polynomials

Author(s) :

Benno Fellenberg; Jürgen vom Scheidt; Matthias Richter

Title :

Simulation of Weakly Correlated Functions and its Application to Random Surfaces and Random Polynomials

Electronic source :

[gzipped dvi-file] 73 kB
[gzipped ps-file] 65 kB

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 97-16, 1997

Mathematics Subject Classification :

65C05 [ Monte Carlo methods ]

60G35 [ Appl. of stochastic processes ]

Abstract :

The paper is dedicated to the modeling and the simulation of random processes and fields. Using the concept and the theory of weakly correlated functions a consistent representation of sufficiently smooth random processes will be derived. Special applications will be given with respect to the simulation of road surfaces in vehicle dynamics and to the confirmation of theoretical results with respect to the zeros of random polynomials.

Keywords :

stochastic simulation, random processes, random fields, weakly correlated functions, random polynomials

Language :

english

Publication time :

10/1997