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Annual Research Report 2002
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Grants
[Contents]
[Index]
Index
B. Albers
Stability and relaxation of
E. Bänsch
Finite element methods for
E. Bänsch
,
D. Davis
,
H. Langmach
,
G. Reinhardt
,
N. Scurtu
,
M. Uhle
Two and threedimensional unsteady
U. Bandelow
(FG 1),
Th. Koprucki
(FG 3)
Upscaling of microscopically calculated
U. Bandelow
,
H. Gajewski
,
A. Glitzky
,
R. Hünlich
Simulation of the modulation
M. Baro
,
H.Chr. Kaiser
,
H. Neidhardt
,
J. Rehberg
Dissipative SchrödingerPoisson systems
J. Borchardt
,
F. Grund
,
D. Horn
Largescale static and dynamic
A. Bovier
Gibbs measures of highly
A. Bovier
,
B. Gentz
Stochastic dynamics
A. Bovier
,
C. Külske
Low temperature phases in
I. Bremer
Path planning
G. Bruckner
Regularization of severely illposed
G. Bruckner
,
J. Elschner
,
A. Rathsfeld
,
G. Schmidt
Direct and inverse diffraction
W. Dreyer
(FG 7),
F. Duderstadt
(FG 7),
J. Sprekels
(FG 1),
B. Wagner
(FG 1)
Phase transitions
W. Dreyer
(FG 7),
M. Herrmann
(FG 7),
A. Möller
(FG 7),
J. Sprekels
Micromacro transitions of the
W. Dreyer
,
F. Duderstadt
Stress analysis of thin
W. Dreyer
,
M. Herrmann
, Sh. Qamar
Kinetic solution of sample
V. Essaoulova
,
A. Hutt
,
S. Jaschke
,
P. Mathé
,
H.J. Mucha
,
J. Polzehl
,
V. Spokoiny
.
Statistical data analysis
K. Fleischmann
,
A. Sturm
Interacting catalytic branching processes
J. Fuhrmann
Thermal convection in sedimental
J. Fuhrmann
,
K. Gärtner
Twodimensional numerical simulation of
J. Fuhrmann
,
K. Gärtner
,
H. Langmach
pdelib Algorithms
K. Gärtner
PARDISO, improved parallel efficiency
LU
factorization
H. Gajewski
(FG 1),
K. Gärtner
On a nonlocal model
H. Gajewski
,
H. Stephan
Physical modeling and numerical
A. Glitzky
,
R. Hünlich
Stationary solutions of twodimensional
G. Hebermehl
,
J. Schefter
,
R. Schlundt
,
F.K. Hübner
Simulation of microwave and
R. Henrion
Optimization problems with random
D. Hömberg
,
Th. Jurke
,
W. Weiss
Optimal control of surface
S. Jaschke
,
A. Kolodko
,
G.N. Milstein
,
O. Reiß
,
J. Schoenmakers
,
V. Spokoiny
,
J.H. ZachariasLanghans
Applied mathematical finance
Th. Jurke
,
O. Klein
,
J. Sprekels
,
D. Tiba
Hysteresis phenomena
H.Chr. Kaiser
,
H. Neidhardt
,
J. Rehberg
Quasilinear parabolic systems with
O. Klein
,
P. Philip
,
J. Schefter
,
J. Sprekels
Numerical simulation and optimization
A. Kolodko
,
D. Kolyukhin
,
G.N. Milstein
,
K.K. Sabelfeld
Numerical analysis of complex
M. Radziunas
,
K.R. Schneider
,
J. Sieber
(until 9/02),
D.V. Turaev
,
M. Wolfrum
,
S. Yanchuk
(since 10/02)
Dynamics of semiconductor lasers
G. Reinhardt
,
F.K. Hübner
Visualization of numerical simulations
S. Roelly
Probabilistic Cellular Automata
S. Roelly
,
H. Zähle
(Berliner Graduiertenkolleg ,,Stochastische Prozesse undProbabilistische Analysis`` (Graduate College ``Stochastic Processes and Probabilistic Analysis''))
Finite and infinite dimensional
I. Schmelzer
,
H. Si
,
K. Gärtner
,
H. Langmach
3D Delaunay mesh generation
G. Schmidt
Integral equation methods for
K.R. Schneider
,
E.V. Shchetinina
Multiscale systems
J. Sprekels
,
D. Tiba
Approximation and optimization of
D.V. Turaev
Homoclinic bifurcations
B. Wagner
(FG 1),
W. Dreyer
(FG 7)
Sharp interface model for
W. Wagner
Stochastic models and numerical
W. Wagner
,
I. Matheis
Efficient control of stochastic
K. Wilmanski
Thermodynamic modeling of porous
K. Wilmanski
,
B. Albers
Wave propagation in porous
adaptive
tests
3. Goodnessoffit and model

3. Goodnessoffit and model
weights smoothing
1. Adaptive smoothing

1. Adaptive smoothing

1. Adaptive smoothing

2. Dimension reduction
aerosol particles
Numerical analysis of complex
aggregates
3. Turbulence simulation of
algae cells
3. Turbulence simulation of
anisotropic surface tension
Sharp interface model for
applied mathematical finance
Applied mathematical finance
approximations of surface waves
Wave propagation in porous
ARmodels
1. Adaptive smoothing
ARCHmodels
1. Adaptive smoothing
arches
Approximation and optimization of
arsenic precipitation
Phase transitions
AWS
AWS
balance laws
Quasilinear parabolic systems with
Becker/Döring model
Phase transitions
binary response model
1. Adaptive smoothing

1. Adaptive smoothing
biperiodic diffraction problem
2. Modeling of 3D
blockstructured Newtontype methods
Largescale static and dynamic
BoltzmannPeierls equation
Overview
BoltzmannPeierlsequation
Kinetic solution of sample
BOP
BOP
boundary integral method
Sharp interface model for
capacity
Stochastic dynamics
catalyst reactant pair
Interacting catalytic branching processes
catalytic superBrownian motion
Finite and infinite dimensional
chaotic dynamics
Project 2: Richness of
chemical reactions
Overview

Phase transitions
CISC 2002
WIAS Conferences, Colloquiums, and
classification
1. Adaptive smoothing
climate models
Stochastic dynamics
ClusCorr98
^{®}
4. Cluster analysis, multivariate

ClusCorr98
^{®}
cluster analysis
4. Cluster analysis, multivariate
coagulation
Stochastic models and numerical
coalescent process
Interacting catalytic branching processes
coefficients
discontinuous
Quasilinear parabolic systems with
COG
pdelib Algorithms

3D Delaunay mesh generation

COG
colored noise
Interacting catalytic branching processes
combustion wave
Project 4: Combustion wave
competing species model
Interacting catalytic branching processes
conservation law of energy
Stationary solutions of twodimensional
continuity equations
Stationary solutions of twodimensional
contour models
Low temperature phases in
control
by the coefficients
Approximation and optimization of
problems
Hysteresis phenomena
credit risk
1. Mathematical methods for
critical value of the wave number
Overview
crossed anisotropic grating
2. Modeling of 3D
current coupled models
Dissipative SchrödingerPoisson systems
curse of dimensionality
2. Dimension reduction
curved rods
Approximation and optimization of
Czochralski method
Two and threedimensional unsteady
data mining
4. Cluster analysis, multivariate
deformable porous media
Overview
delaydifferential equations
Project 2: Delayed loss
delayed
feedback
Project 1: Lasers with
loss of stability
Project 2: Delayed loss
density estimation
1. Adaptive smoothing
differential equations
5. Numerical methods for
differentialalgebraic equations
Overview

Largescale static and dynamic
diffusion
Phase transitions
processes
Stochastic dynamics
dimension reduction
2. Dimension reduction
spaces
2. Dimension reduction
DiPoG
DiPoG
direct solver GSPAR
Largescale static and dynamic
discontinuous coefficients
no title
dissipative SchrödingerPoisson system
Dissipative SchrödingerPoisson systems
DMFC
no title
dMRI
1. Adaptive smoothing
driftdiffusion models
Dissipative SchrödingerPoisson systems
dynamics of semiconductor lasers
no title
elasticity problems
Numerical analysis of complex
electrochemistry
Stationary solutions of twodimensional
electron beam hardening
Optimal control of surface
embedded force potentials
Phase transitions
energy models
Stationary solutions of twodimensional
entropy maximum principle
Physical modeling and numerical
exchange of stabilities in multiscale systems
Project 1: Exchange of
exploratory data analysis
4. Cluster analysis, multivariate
exponential
family models
1. Adaptive smoothing
model
1. Adaptive smoothing
finance
applied mathematical
Applied mathematical finance
finite element method
Two and threedimensional unsteady
fMRI
1. Adaptive smoothing
footprint problem
2. Footprint problem
gallium arsenide
Phase transitions
gas turbine
Largescale static and dynamic
Gassmann relations
Overview

Wave propagation in porous
gelation effect
Stochastic models and numerical
Generalized Random Energy Models
Gibbs measures of highly
gltools
gltools
goodnessoffit
3. Goodnessoffit and model
gradient
algorithms
Approximation and optimization of
of porosity
Overview
Hölder continuity
Stationary solutions of twodimensional
Hamiltonian systems
5. Numerical methods for
hardening
Optimal control of surface

Optimal control of surface
heat transport
Two and threedimensional unsteady
heatflow equation
Simulation of the modulation
heating
Numerical simulation and optimization
hedging strategy
5. Numerical methods for
heterogeneous media
Quasilinear parabolic systems with
highdimensional data visualization
4. Cluster analysis, multivariate
highfrequency
financial time series
1. Adaptive smoothing
selfpulsations
Project 3: Research of
highpower
Physical modeling and numerical
homoclinic
bifurcations
no title
tangencies
Project 1: Dynamics near
hydraulic conductivity
4. Transport of interacting
hyperbolic
scaling
Micromacro transitions of the
systems
Overview
hysteresis
Hysteresis phenomena
image
denoising
1. Adaptive smoothing
segmentation
no title

On a nonlocal model
Implicit Function Theorem
Stationary solutions of twodimensional
index estimation
2. Dimension reduction
induction
hardening
Optimal control of surface
heating
Numerical simulation and optimization
instability region
Stability and relaxation of
interacting catalytic branching
Interacting catalytic branching processes
interactive Brownian diffusions
Finite and infinite dimensional
interest rate modeling
2. Interest rate (LIBOR)
interfacemotion
Phase transitions
internal surface of channels
Overview
interpolation results for function spaces
Quasilinear parabolic systems with
inverse medium problem
4. Inverse medium problems
inverse problems
5. Illposed inverse problems
regularization
5. Illposed inverse problems
statistical
5. Illposed inverse problems
variable Hilbert scale
5. Illposed inverse problems
Kac models
Low temperature phases in
kinetic equations
Overview
Kirchhoff plate theory
Stress analysis of thin
KirchhoffLove model
Approximation and optimization of
Kolmogorov similarity theory
4. Transport of interacting
kp theory
Upscaling of microscopically calculated
Lagrangian description
Thermodynamic modeling of porous
Langevin dynamics
Finite and infinite dimensional
Langevintype stochastic model
4. Transport of interacting
laser
Simulation of the modulation

no title
hardening
Optimal control of surface
LDSLtool
Project 2: Software
LDSLtool
.

LDSLtool
LIBOR
derivatives
2. Interest rate (LIBOR)
model calibration
2. Interest rate (LIBOR)
linear
acoustic waves
Overview
stability analysis
Stability and relaxation of
liquid arsenic droplets
Phase transitions
local
likelihood estimation
1. Adaptive smoothing
polynomial approximation
1. Adaptive smoothing
stationary time series
1. Adaptive smoothing

1. Adaptive smoothing

1. Adaptive smoothing
longwave
Wave propagation in porous
Lua
pdelib Algorithms
Lyapunov exponent
5. Numerical methods for
macroscopic limit
Micromacro transitions of the
magnet resonance imaging
1. Adaptive smoothing
manybody potentials
Overview
market risk
1. Mathematical methods for
matched asymptotics
Sharp interface model for
mathematical finance
Applied mathematical finance
maximum entropy principle
Overview

Kinetic solution of sample
Maxwell's equations
Simulation of microwave and
mean
exit times
Stochastic dynamics
risk models
Optimization problems with random
meanfield models
Gibbs measures of highly
mechanical stresses
Phase transitions
median regression model
3. Goodnessoffit and model
metastability
Stochastic dynamics
micromacro transitions
Overview

Overview

Wave propagation in porous

Micromacro transitions of the
microelectronics
Overview
microwave
no title
mixed boundary
no title
modeling
language MLPE
Largescale static and dynamic
of poroelastic bodies
Overview
modulation response
Simulation of the modulation
morphological changes
Overview

Phase transitions
multiindex model
2. Dimension reduction

2. Dimension reduction
multiscale
modeling
Overview
transition
Phase transitions
NavierStokes equations
Two and threedimensional unsteady
noise reduction
On a nonlocal model
nonhyperbolic slowfast systems
Project 3: Integral manifolds
nonlocal interaction
Stationary solutions of twodimensional
nonselfadjoint Schrödinger operators
Dissipative SchrödingerPoisson systems
nonlinear kinetic equations
Stochastic models and numerical
nonlocal phase separation model
On a nonlocal model
nonparametric statistical methods
Statistical data analysis
NorthEast German basin
Thermal convection in sedimental
NUMATH
NUMATH
onepoint potential
Interacting catalytic branching processes
Onsager relations
Stationary solutions of twodimensional
open quantum system
Dissipative SchrödingerPoisson systems

Quasilinear parabolic systems with
optical grating
1. Accurate FEM simulation
optimization
Optimization problems with random
optoelectronics
Physical modeling and numerical
PARDISO
PARDISO, improved parallel efficiency
LU
factorization
partial differential equations
Overview
partially
linear model
2. Dimension reduction

2. Dimension reduction
linear multiindex model
2. Dimension reduction
pdelib
Overview

pdelib Algorithms

pdelib
pdelib2
pdelib Algorithms
Perfectly Matched Layer
Simulation of microwave and
permeability
4. Transport of interacting
phase transitions
Hysteresis phenomena

Overview

Overview

Phase transitions
including the formation of droplets
Overview
phasefield model
Overview
phonons
Kinetic solution of sample
pointwise adaption
1. Adaptive smoothing
Poisson
cascades
Gibbs measures of highly
equation
Stationary solutions of twodimensional
model
1. Adaptive smoothing
regression
1. Adaptive smoothing

1. Adaptive smoothing
polynomial models
Approximation and optimization of
porous media
Numerical analysis of complex
positron emission tomography (PET)
1. Adaptive smoothing
power management
Optimization problems with random
principal components analysis
4. Cluster analysis, multivariate
probabilistic
approach
5. Numerical methods for
constraints
Optimization problems with random
Probabilistic Cellular Automata
Probabilistic Cellular Automata
process
engineering
Largescale static and dynamic
simulation
Largescale static and dynamic
simulator
BOP
Largescale static and dynamic
profile reconstruction problem
3. Reconstruction of grating
propagation conditions for surface waves
Overview
quantum effects
Dissipative SchrödingerPoisson systems
quasilinear parabolic systems
Quasilinear parabolic systems with
random fields
Numerical analysis of complex
Random Walk
methods
1. Random Walk methods
on Boundary
1. Random Walk methods
rarefied gas flows
Efficient control of stochastic
Rayleigh wave
Wave propagation in porous
reactiondiffusion
processes
Stationary solutions of twodimensional
systems
Quasilinear parabolic systems with
reciprocal processes
Finite and infinite dimensional
regularization of severely illposed problems
Regularization of severely illposed
remittance study
Stress analysis of thin
renormalization group
Low temperature phases in
replica symmetry breaking
Gibbs measures of highly
resolvent estimates for elliptic operators
Quasilinear parabolic systems with
risk
evaluation
Statistical data analysis
management
1. Mathematical methods for
SchrödingerPoisson systems
Dissipative SchrödingerPoisson systems
second law of thermodynamics
Physical modeling and numerical
semiconductor
devices
Physical modeling and numerical

Stationary solutions of twodimensional
quantum wells
Upscaling of microscopically calculated
sensitivity analysis
Approximation and optimization of
shared memory parallelization
pdelib Algorithms
sharp interface model
Sharp interface model for
shells
Approximation and optimization of
silicon carbide (SiC)
Physical modeling and numerical

Numerical simulation and optimization
simulation
sublimation growth of SiC
Numerical simulation and optimization
singleindex model
2. Dimension reduction

2. Dimension reduction
Sivashinsky equation
Integral equation methods for
slowfast systems
Stochastic dynamics
small signal analysis
Simulation of the modulation
Software
AWS
AWS
BOP
Largescale static and dynamic

BOP
ClusCorr98
^{®}
ClusCorr98
^{®}
COG
pdelib Algorithms

3D Delaunay mesh generation

COG
DiPoG
DiPoG
gltools
gltools
LDSLtool
Project 2: Software
LDSLtool
.

LDSLtool
NUMATH
NUMATH
pdelib
Overview

pdelib Algorithms

pdelib
WIASHiTNIHS
WIASHiTNIHS
WIASQW
Upscaling of microscopically calculated

WIASQW
WIASSHarP
WIASSHarP
WIASTeSCA
Simulation of the modulation

Simulation of the modulation

Simulation of the modulation

Physical modeling and numerical

WIASTeSCA
solder joint material
Phase transitions
spacetime Gibbs distribution
Finite and infinite dimensional
sparse
LU
factorization
PARDISO, improved parallel efficiency
LU
factorization
spatiotemporal structures
1. Adaptive smoothing
stability of stationary flows
Overview
statistical data analysis
Statistical data analysis

Statistical data analysis
stochastic differential equations
Numerical analysis of complex
Stoneley waves
Wave propagation in porous
stress analysis
Overview

Stress analysis of thin
of thin plates
Overview
stressinfluenced diffusion
Overview
structural adaption
1. Adaptive smoothing

2. Dimension reduction
subgridding scheme
Simulation of microwave and
sublimation growth
Numerical simulation and optimization
surface
energy
Phase transitions
permeability
Stability and relaxation of
potential
Integral equation methods for
waves
Overview
synchronization
Project 3: Problems of
tail index estimation
1. Adaptive smoothing

1. Adaptive smoothing
TaylorHood element
Two and threedimensional unsteady
TetGen
pdelib Algorithms

COG
tetrahedral grids
Simulation of microwave and
thermal convection
Thermal convection in sedimental
3D flow simulation
Two and threedimensional unsteady

Two and threedimensional unsteady

Two and threedimensional unsteady
timeinhomogeneous time series
1. Adaptive smoothing

2. Dimension reduction
travelingwave solutions
Overview
triangle
pdelib Algorithms
trimmed tree
Interacting catalytic branching processes
turbulence models
Numerical analysis of complex
turbulent atmosphere
Numerical analysis of complex
UehlingUhlenbeckBoltzmann equation
Efficient control of stochastic
upscaling of microscopical data
Upscaling of microscopically calculated
van Roosbroeck system
Dissipative SchrödingerPoisson systems

Quasilinear parabolic systems with
variance reduction problem
Efficient control of stochastic
variational principle
Low temperature phases in
volatility
estimation
1. Adaptive smoothing
model
1. Adaptive smoothing
modeling
1. Adaptive smoothing
von Kármán
plate system
Overview
system
Stress analysis of thin
wave phenomena
Micromacro transitions of the
WIASHiTNIHS
WIASHiTNIHS
WIASQW
Upscaling of microscopically calculated

WIASQW
WIASSHarP
WIASSHarP
WIASTeSCA
Simulation of the modulation

Simulation of the modulation

Simulation of the modulation

Physical modeling and numerical

WIASTeSCA
WrightFisher diffusions
Interacting catalytic branching processes
LaTeX typesetting by I. Bremer
5/16/2003