Efficient solution of the first passage problem by Path Integration for normal and Poissonian white noise

Mario Di Paola, Christian Bucher, Mario Di Paola

Risultato della ricerca: Articlepeer review

15 Citazioni (Scopus)

Abstract

In this paper the first passage problem is examined for linear and nonlinear systems driven by Poissonian and normal white noise input. The problem is handled step-by-step accounting for the Markov properties of the response process and then by Chapman-Kolmogorov equation. The final formulation consists just of a sequence of matrix-vector multiplications giving the reliability density function at any time instant. Comparison with Monte Carlo simulation reveals the excellent accuracy of the proposed method.
Lingua originaleEnglish
pagine (da-a)121-128
Numero di pagine8
RivistaProbabilistic Engineering Mechanics
Volume41
Stato di pubblicazionePublished - 2015

All Science Journal Classification (ASJC) codes

  • Nuclear Energy and Engineering
  • Condensed Matter Physics
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Statistical and Nonlinear Physics
  • Civil and Structural Engineering

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