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

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

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 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...

Hamburger Beitrage zur Angewandten Mathematik An Active Set-type Newton Method for Constrained Nonlinear Systems

We consider the problem of nding a solution of a nonlinear system of equations subject to some box constraints. To this end, we introduce a new active set-type Newton method with global and local fast convergence properties. The method generates feasible iterates and has to solve only one linear system of equations at each iteration. Due to our active set strategy, this linear system is of redu...

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