Renate
Winkler |
W. Römisch, T. Sickenberger und R. Winkler:
Mathematik
- Grips für Chips:
Effiziente transiente Rauschanalyse in der Schaltungssimulation
[in german],
in Der
Schlüssel zur Hochtechnologie - Mathematik für Innovationen
in Industrie und Diensteistungen, BMBF,
2007.
E. Buckwar and R. Winkler:
Multi-step
Maruyama methods for stochastic
delay differential equations,
Stoch. Anal. Appl. vol. 25
(5) (2007), 933--959.
E. Buckwar and R. Winkler:
Improved
linear multi-step methods for
stochastic ordinary differential equations,
J. Comp. Appl. Math. vol. 205
(2) (2007), 912--922.
E. Buckwar, R. Horvath Bokor and R. Winkler:
Asymptotic
mean-square stability of two-step methods for
stochastic ordinary differential equations,
BIT Numerical Mathematics vol. 46 (2) (2006), 261 - 282.
T. Sickenberger and R. Winkler:
Efficient transient noise analysis in
circuit
simulation
PAMM vol. 6 (1) (2006), 55-58.
E. Buckwar and R.Winkler:
Asymptotic
Mean-square Stability of Linear Multi-step Methods for
SODEs,
PAMM, vol. 6 (1) ( 2006), 659--660.
W. Römisch and R. Winkler:
Stepsize
control for mean-square numerical methods for stochastic differential
equations
with small noise,
SIAM J. Sci. Comp. vol. 28 (2) (2006), 604-625.
E. Buckwar and R.Winkler:
Multi-step
methods for SDEs and their application to problems with small
noise,
SIAM J. Num. Anal. vol. 44 (2) (2006), 779--803.
R.Winkler:
Stochastic
differential
algebraic equations in transient noise analysis,
Springer Series 'Mathematics in Industry' ,Proceedings of 'Scientific
Computing in Electrical
Engineering', September, 25th - 9th, 2004, Capo D'Orlando,
151-158.
W. Römisch and R. Winkler:
Stochastic
DAEs in circuit simulation,
in: Mathematical Modeling, Simulation and Optimization of
Integrated
Circuits (Eds.) K.Antreich, R.Bulirsch, A. Gilg and P. Rentrop,
Birkhäuser,
2003, 303-318.
G. Denk and R.Winkler:
Modeling and simulation
of transient noise in circuit simulation,
Proceedings of 4th MATHMOD, Vienna, Feb. 5-7, 2003, to appear in:
Mathematical and Computer Modelling of Dynamical Systems (MCMDS).
R.Winkler:
Stochastic
differential
algebraic
equations of index 1 and applications in circuit simulation,
J. Comp. Appl. Math. 157 (2003), 477-505.
R. Lamour, R. März and R.Winkler:
Stability
of periodic solutions of index-2 differential-algebraic systems,
J. Math. Anal. Appl.. 279 (2003), 475-494.
R.Winkler:
Stochastic
DAEs in transient noise simulation,
Springer Series 'Mathematics in Industry' ,Proceedings of 'Scientific
Computing in Electrical
Engineering', June, 23rd - 28th, 2002, Eindhoven, 408-415.
R. Lamour, R. März and R.Winkler:
How
Floquet theory applies to index 1 differential algebraic equations,
J. Math. Anal. Appl. 217 (1998), 372--394.
W. Römisch and R. Winkler: Stepsize
control for mean-square numerical methods for stochastic differential
equations
with small noise,
Preprint 03-8, Institut für
Mathematik,
Humboldt-Universität Berlin, 2003.
W. Römisch and R. Winkler: Stochastic
DAEs in circuit simulation,
Preprint 03-03, Institut für Mathematik, Humboldt-Universität
Berlin, 2003.
R.Winkler: Stochastic
differential algebraic equations of index 1 and applications in circuit
simulation,
Preprint 01-13 Institut für Mathematik,
Humboldt-Universität
Berlin, 2001.
R. Winkler: On
logarithmic norms for differential algebraic equations,
Preprint 00-17 Institut für Mathematik,
Humboldt-Universität
Berlin, 2000.
R. Lamour, R. März and R.Winkler: Stability
of periodic solutions of index-2 differential-algebraic systems,
Preprint 98-23 Institut für Mathematik,
Humboldt-Universität
Berlin, 1998.
R. Lamour, R. März and R.Winkler: How
Floquet theory applies to differential algebraic equations,
Preprint 96-15 Institut für Mathematik,
Humboldt-Universität
Berlin, 1996
R. Winkler: On
simple impasse points and their numerical computation,
Preprint 94-15 Institut für Mathematik,
Humboldt-Universität
Berlin, 1994