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SIAMADS
2010
63views more  SIAMADS 2010»
13 years 3 months ago
Time Integration and Steady-State Continuation for 2d Lubrication Equations
Lubrication equations describe many structuring processes of thin liquid films. We develop and apply a numerical framework suitable for their analysis employing a dynamical systems...
Philippe Beltrame, Uwe Thiele
SIAMADS
2010
105views more  SIAMADS 2010»
13 years 3 months ago
Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
We present a weakly nonlinear analysis of our recently developed model for the formation of crime patterns. Using a perturbative approach, we find amplitude equations that govern t...
Martin B. Short, Andrea L. Bertozzi, P. J. Brantin...
SIAMMAX
2010
116views more  SIAMMAX 2010»
13 years 3 months ago
Acquired Clustering Properties and Solution of Certain Saddle Point Systems
Many mathematical models involve flow equations characterized by nonconstant viscosity, and a Stokes type problem with variable viscosity coefficient arises. Appropriate block diag...
M. A. Olshanskii, V. Simoncini
SIAMSC
2010
155views more  SIAMSC 2010»
13 years 3 months ago
Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
In this paper we proposed quasi-Newton and limited memory quasi-Newton methods for objective functions defined on Grassmannians or a product of Grassmannians. Specifically we defin...
Berkant Savas, Lek-Heng Lim
CHI
2011
ACM
13 years 9 days ago
Social media ownership: using twitter as a window onto current attitudes and beliefs
Social media, by its very nature, introduces questions about ownership. Ownership comes into play most crucially when we investigate how social media is saved or archived; how it ...
Catherine C. Marshall, Frank M. Shipman III