Index Catalog // ScholarsArchive@OSU

Creator:: Phon-On, Aniruth
Abstract:: For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G is finite dimensional and has the Disjoint Disks Property (DDP), then M/G is homeomorphic to M ([Dav07],...
Resource Type:: Dissertation
Full Text:: Mathematics presented on April 29, 2010. Title: A Thin Codimension-one Decomposition of the Hilbert Cube

Creator:: Oregon State University. Dept. of Computer Science, Chen, Guoning, Mischaikow, Konstantin Michael, Laramee, Robert S., and Zhang, Eugene
Abstract:: Existing topology-based vector field analysis techniques rely on the ability to extract the individual trajectories such as fixed points, periodic orbits and separatrices which are sensitive to noise and errors introduced by simulation and interpolation. This can make such vector field analysis unsuitable for rigorous interpretations. We advocate the use...
Resource Type:: Research Paper
Full Text:: the applications. To address this issue, we present a new technique for performing Morse decomposition

Creator:: Oregon State University. Dept. of Computer Science, Chen, Guoning, Mischaikow, Konstantin Michael, Laramee, Robert S., and Zhang, Eugene
Abstract:: Vector field analysis plays a crucial role in many engineering applications, such as weather prediction, tsunami and hurricane study, and airplane and automotive design. Existing vector field analysis techniques focus on individual trajectories such as fixed points, periodic orbits and separatrices which are sensitive to noise and errors introduced by...
Resource Type:: Research Paper
Full Text:: decomposition connection graph (MCG). While an MCG exists for every vector field, it need not be unique. We

Creator:: Zhang, Yi
Abstract:: In this study, a heterogeneous flow model is proposed based on a non-overlapping domain decomposition method. The model combines potential flow and incompressible viscous flow. Both flow domains contain a free surface boundary. The heterogeneous domain decomposition method is formulated following the Dirichlet-Neumann method. Both an implicit scheme and an...
Resource Type:: Masters Thesis
Full Text:: Decomposition Methods AN ABSTRACT OF THE THESIS OF Yi Zhang for the degree of Master of Science in

ScholarsArchive@OSU