Now showing items 1-10 of 328
Analyzing the stability behaviour of DAE solutions and their approximations
New stability results are proved for linear index-2 differential algebraic equations (DAE). They are obtained by means of an improved projector decoupling. On the background of logarithmic norms related to invariant ...
Picard-Einstein Metrics and Class Fields Connected with Apollonius Cycle
We define Picard-Einstein metrics on complex algebraic surfaces as Kähler-Einstein metrics with negative constant sectional curvature pushed down from the unit ball via Picard modular groups allowing degenerations along ...
General Linear Methods for nonlinear DAEs in Circuit Simulation
The Modified Nodal Analysis leads to differential algebraic equations with properly stated leading terms. In this article a special structure of the DAEs modelling electrical circuits is exploited in order to derive a new ...
On the intrinsic complexity of point finding in real singular hypersurfaces
In previous work we designed an efficient procedure that finds an algebraic sample point for each connected component of a smooth real complete intersection variety. This procedure exploits geometric properties of generic ...
Solvability Properties of Linear Elliptic Boundary Value Problems with Non-smooth Data
In this paper linear elliptic boundary value problems of second order with non-smooth data (L∞-coefficients, Lipschitz domain, mixed boundary conditions) are considered. It is shown that the weak solutions are Hölder ...
Asymptotic mean-square stability of two-step methods for stochastic ordinary differential equations
We deal with linear multi-step methods for SDEs and study when the numerical appro\-xi\-mation shares asymptotic properties in the mean-square sense of the exact solution. As in deterministic numerical analysis we use a ...