Hamburger Beitrage zur Angewandten Mathematik Digital Lines and Digital Convexity

Hamburger Beitrage zur Angewandten Mathematik An Asymptotic-Induced One-Dimensional Model to Describe Fires in Tunnels

Hamburger Beitrage zur Angewandten Mathematik Polygonal Representations of Digital Sets

In the context of discrete curve evolution the following problem is of relevance: Decompose the boundary of a plane digital object into convex and concave parts. Such a decomposition is very useful for describing the form of an object e.g. for shape databases. Although the problem is relatively trivial in ordinary plane geometry, in digital geometry its statement becomes a very diÆcult task due...

Hamburger Beitrage zur Angewandten Mathematik Beyond Montonicity in Regularization Methods for Nonlinear Complementarity Problems

Regularization methods for the solution of nonlinear complementarity problems are standard methods for the solution of monotone complementarity problems and possess strong convergence properties. In this paper, we replace the monotonicity assumption by a P0-function condition. We show that many properties of regularization methods still hold for this larger class of problems. However, we also p...

Hamburger Beiträge zur Angewandten Mathematik Continuous Convergence of Relations - A Principle in Discretization Procedures

Hamburger Beitrage zur Angewandten Mathematik Numerical Computation of Degenerate Hopf Bifurcation Points

In this paper a numerical method for the detection and computation of degenerate Hopf bifurcation points is presented. The degeneracies are classi ed and de ning equations characterizing each of the equivalence classes are constructed by means of a generalized Liapunov-Schmidt reduction. The numerical computation of the sign of the rst Liapunov coe cient which determines the stability of the bi...