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Path Integral Methods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems
Title
Path Integral Methods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems
Author
Zhou, Yijing
Date Created
2016
Subjects--Topical
Mathematics
Description
In this dissertation, we propose numerical methods for computing the boundary local time of reflecting Brownian motion (RBM) in 3d and its use in the probabilistic representation of the solution of the Laplace equation with the Neumann and Robin b...
BUCKLING LOAD PREDICTIONS IN PRESSURE VESSELS UTILIZING MONTE CARLO METHOD
Title
BUCKLING LOAD PREDICTIONS IN PRESSURE VESSELS UTILIZING MONTE CARLO METHOD
Author
Brar, Gurinder
Date Created
2009
Subjects--Topical
Mechanical engineering
Description
In practice, large diameter, thin wall shells of revolution are never fabricated with constant diameters and thicknesses over the entire length of the assembly. These initial geometric imperfections have significant effect on the load carrying cap...