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SIAMAM
2010
66views more  SIAMAM 2010»
13 years 8 months ago
A Surface Phase Field Model for Two-Phase Biological Membranes
We study vesicles formed by lipid bilayers that are governed by an elastic bending energy and on which the lipids laterally separate forming two different phases. The energy laden...
Charles M. Elliott, Björn Stinner
SIAMDM
2010
140views more  SIAMDM 2010»
13 years 8 months ago
Retractions to Pseudoforests
For a fixed graph H, let Ret(H) denote the problem of deciding whether a given input graph is retractable to H. We classify the complexity of Ret(H) when H is a graph (with loops ...
Tomás Feder, Pavol Hell, Peter Jonsson, And...
SIAMSC
2010
111views more  SIAMSC 2010»
13 years 8 months ago
Operator-Based Preconditioning of Stiff Hyperbolic Systems
Abstract. We introduce an operator-based scheme for preconditioning stiff components encountered in implicit methods for hyperbolic systems of PDEs posed on regular grids. The met...
Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodwa...
CORR
2010
Springer
65views Education» more  CORR 2010»
13 years 7 months ago
Uniqueness of models in persistent homology: the case of curves
We consider generic curves in R2 , i.e. generic C1 functions f : S1 R2 . We analyze these curves through the persistent homology groups of a filtration induced on S1 by f. In parti...
Patrizio Frosini, Claudia Landi
JNS
2011
77views more  JNS 2011»
13 years 4 months ago
Nonlinear Dynamics of the 3D Pendulum
A 3D pendulum consists of a rigid body, supported at a fixed pivot, with three rotational degrees of freedom. The pendulum is acted on by a gravitational force. Symmetry assumptio...
Nalin A. Chaturvedi, Taeyoung Lee, Melvin Leok, N....