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MOC
2002
73views more  MOC 2002»
13 years 6 months ago
A stochastic particle numerical method for 3D Boltzmann equations without cutoff
Using the main ideas of Tanaka, the measure-solution {Pt}t of a 3-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cutoff is related to a Poisso...
Nicolas Fournier, Sylvie Méléard
CDC
2008
IEEE
157views Control Systems» more  CDC 2008»
14 years 27 days ago
Balancing of partially-observed stochastic differential equations
Abstract— We study Balanced Truncation for stochastic differential equations. In doing so, we adopt ideas from large deviations theory and discuss notions of controllability and ...
Carsten Hartmann, Christof Schütte
SIAMCO
2000
99views more  SIAMCO 2000»
13 years 6 months ago
Spectral Analysis of Fokker--Planck and Related Operators Arising From Linear Stochastic Differential Equations
We study spectral properties of certain families of linear second-order differential operators arising from linear stochastic differential equations. We construct a basis in the Hi...
Daniel Liberzon, Roger W. Brockett

Lecture Notes
592views
15 years 6 months ago
Stochastic Differential Equations
These lecture notes have been developed over several semesters with the assistance of students in the course. For many (most) results, only incomplete proofs are given. Gaps in the...
Thomas G. Kurtz
MOC
2000
76views more  MOC 2000»
13 years 6 months ago
Optimal approximation of stochastic differential equations by adaptive step-size control
We study the pathwise (strong) approximation of scalar stochastic differential equations with respect to the global error in the L2-norm. For equations with additive noise we estab...
Norbert Hofmann, Thomas Müller-Gronbach, Klau...