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

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

Hamburger Beitrage zur Angewandten Mathematik Image Processing for Numerical Approximations of Conservation Laws: Nonlinear anisotropic arti cial dissipation

We employ a nonlinear anisotropic di usion operator like the ones used as a means of ltering and edge enhancement in image processing, in numerical methods for conservation laws. It turns out that algorithms currently used in image processing are very well suited for the design of nonlinear higher-order dissipative terms. In particular, we stabilize the well-known Lax-Wendro formula by means of...

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 Digital Lines and Digital Convexity

Euclidean geometry on a computer is concerned with the translation of geometric concepts into a discrete world in order to cope with the requirements of representation of abstract geometry on a computer. The basic constructs of digital geometry are digital lines, digital line segments and digitally convex sets. The aim of this paper is to review some approaches for such digital objects. It is s...