Sciweavers

SIAMSC
2011
126views more  SIAMSC 2011»
13 years 2 months ago
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology
The electrical activity of the heart may be modeled by a non-linear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electr...
Micol Pennacchio, Valeria Simoncini
SIAMSC
2010
117views more  SIAMSC 2010»
13 years 5 months ago
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
In this paper, we will first introduce a novel multiscale representation (MSR) for shapes via level set motions and partial differential equations (PDEs). Based on the MSR, we wi...
Bin Dong, Aichi Chien, Zuowei Shen, Stanley Osher
SIAMAM
2010
106views more  SIAMAM 2010»
13 years 5 months ago
Games with Exhaustible Resources
We study N-player continuous-time Cournot games in an oligopoly where firms choose production quantities. These are nonzero-sum differential games, whose value functions may be ...
Chris Harris, Sam Howison, Ronnie Sircar
AMC
2007
168views more  AMC 2007»
13 years 7 months ago
The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic fac
In this paper we present the method of lines for the numerical solution of a mathematical model for capillary formation in two space dimensions x,y. We study the tumor angiogenic ...
Arzu Erdem, Serdal Pamuk
AMC
2007
164views more  AMC 2007»
13 years 7 months ago
The method of lines for the numerical solution of a mathematical model for capillary formation: The role of endothelial cells in
In this paper we present the method of lines to obtain the numerical solution of a mathematical model for capillary formation in tumor angiogenesis. This method is an approach to ...
Serdal Pamuk, Arzu Erdem
IMAMS
2003
93views Mathematics» more  IMAMS 2003»
13 years 8 months ago
Application of PDE Methods to Visualization of Heart Data
Abstract. We apply new methods based on Partial Differential Equations techniques (polysplines) to the visualization of the heart surface.
Ognyan Kounchev, Michael J. Wilson
HYBRID
1999
Springer
13 years 11 months ago
Computing Controllers for Nonlinear Hybrid Systems
We discuss a procedure for synthesizing controllers for safety specifications for hybrid systems. The procedure depends on the construction of the set of states of a continuous dy...
Claire Tomlin, John Lygeros, Shankar Sastry
HYBRID
2005
Springer
14 years 26 days ago
A Toolbox of Hamilton-Jacobi Solvers for Analysis of Nondeterministic Continuous and Hybrid Systems
Abstract. Hamilton-Jacobi partial differential equations have many applications in the analysis of nondeterministic continuous and hybrid systems. Unfortunately, analytic solution...
Ian M. Mitchell, Jeremy A. Templeton
SCALESPACE
2007
Springer
14 years 1 months ago
A Generic Approach to the Filtering of Matrix Fields with Singular PDEs
Abstract. There is an increasing demand to develop image processing tools for the filtering and analysis of matrix-valued data, so-called matrix fields. In the case of scalar-val...
Bernhard Burgeth, Stephan Didas, Luc Florack, Joac...