SIAMSC
2011
12 years 11 months ago
2011
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...
SIAMSC
2010
13 years 2 months ago
2010
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...
SIAMAM
2010
13 years 2 months ago
2010
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 ...
AMC
2007
13 years 4 months ago
2007
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 ...
AMC
2007
13 years 4 months ago
2007
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 ...
IMAMS
2003
13 years 5 months ago
2003
Abstract. We apply new methods based on Partial Differential Equations techniques (polysplines) to the visualization of the heart surface.
HYBRID
1999
Springer
13 years 8 months ago
1999
Springer
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...
HYBRID
2005
Springer
13 years 9 months ago
2005
Springer
Abstract. Hamilton-Jacobi partial differential equations have many applications in the analysis of nondeterministic continuous and hybrid systems. Unfortunately, analytic solution...
SCALESPACE
2007
Springer
13 years 10 months ago
2007
Springer
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...