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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...
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...
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 ...
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 ...
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 ...
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...
Abstract. Hamilton-Jacobi partial differential equations have many applications in the analysis of nondeterministic continuous and hybrid systems. Unfortunately, analytic solution...
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...