ISSN:
1436-3259
Schlagwort(e):
Stochastic differential equations
;
Itô calculus
;
Stratovovich integrals
;
Jump integrals
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Architektur, Bauingenieurwesen, Vermessung
,
Energietechnik
,
Geographie
,
Geologie und Paläontologie
Notizen:
Abstract Fundamentals of the theory of stochastic calculus and stochastic differential equations (SDE's) which are finding increasing application in water resources engineering are reviewed. The basics of probability theory, mean square calculus and the Wiener, white Gaussian and compound Poisson processes are given in preparation for a discussion of the general Itô SDE with drift, diffusion and jump discontinuity terms driven by Gaussian white noise and compound Poissionian impulses. Also discussed are stochastic integration and the derivation of moment equations via the Itô differential rule. The lierature of SDE's is reviewed with an emphasis on the more accessible sources.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01543805
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