scholarly journals In-Place Randomized Slope Selection

2006 ◽  
pp. 30-41
Author(s):  
Henrik Blunck ◽  
Jan Vahrenhold
Keyword(s):  
Slope Selection

scholarly journals Surface currents and slope selection in crystal growth

2006 ◽  
Vol 7 (2) ◽  
pp. 272-277 ◽  
Author(s):  
Paolo Politi
Keyword(s):  
Crystal Growth ◽  
Surface Currents ◽  
Slope Selection

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection

2011 ◽  
Vol 52 (3) ◽  
pp. 546-562 ◽  
Author(s):  
Wenbin Chen ◽  
Sidafa Conde ◽  
Cheng Wang ◽  
Xiaoming Wang ◽  
Steven M. Wise
Keyword(s):  
Thin Film ◽  
Film Model ◽  
Thin Film Model ◽  
Slope Selection ◽  
Energy Stable ◽  
Energy Stable Scheme ◽  
Stable Scheme

Mound formation and slope selection in irreversible fcc (111) growth

2005 ◽  
Vol 72 (8) ◽  
Author(s):  
Valery Borovikov ◽  
Jacques G. Amar
Keyword(s):  
Slope Selection ◽  
Mound Formation

A RANDOMIZED ALGORITHM FOR SLOPE SELECTION

1992 ◽  
Vol 02 (01) ◽  
pp. 1-27 ◽  
Author(s):  
MICHAEL B. DILLENCOURT ◽  
DAVID M. MOUNT ◽  
NATHAN S. NETANYAHU
Keyword(s):  
Randomized Algorithm ◽  
Practical Experience ◽  
Efficient Implementation ◽  
Robust Estimator ◽  
Slope Selection ◽  
Best Fit ◽  
Median Slope

A set of n distinct points in the plane defines [Formula: see text] lines by joining each pair of distinct points. The median slope of these O(n2) lines was proposed by Theil as a robust estimator for the slope of the line of best fit for the points. We present a randomized algorithm for selecting the k-th smallest slope of such a set of lines which runs in expected O(n log n) time. An efficient implementation of the algorithm and practical experience with the algorithm are discussed.

Dynamics of the Euler Buckling Instability

2001 ◽  
Vol 672 ◽  
Author(s):  
Leonardo Golubovic
Keyword(s):  
Thin Films ◽  
Molecular Beam Epitaxy ◽  
Molecular Beam ◽  
Molecular Beam Epitaxy Growth ◽  
Thin Sheets ◽  
Typical Size ◽  
Buckling Instability ◽  
Euler Buckling ◽  
Slope Selection ◽  
Phase Ordering

ABSTRACTWe review recent systematic investigations of the dynamics of the classical Euler buckling of compressed solid membranes and thin sheets. We relate the membrane buckling dynamics to phase ordering phenomena. Evolving membranes develop wavelike patterns whose wavelength grows, via coarsening, as a power of time. We find that evolving membranes are similar to interfaces of thin films in molecular-beam epitaxy growth with slope selection: They are characterized by the presence of mounds whose typical size grows as a power of time. The morphologies of the evolving membranes are characterized by the presence of a network of growing ridges where the elastic energy is mostly concentrated. We used this fact to develop a scaling theory of the buckling dynamics that gives analytic estimates of the coarsening exponents. Our findings show that the membrane buckling dynamics is characterized by a distinct scaling behavior not found in other coarsening phenomena.

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