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Annual Research Report 2003
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Grants
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Index
Project author
B. Albers
Wave properties of four

Numerical analysis of surface
E. Bänsch
Twophase flow with evaporation

Meltflow simulation in Czochralski

Optimal control of surface
U. Bandelow
Simulation of pulse propagation

WIASTeSCA simulations of laser

Thermodynamicsbased modeling of semiconductor

Dynamics of semiconductor lasers
M. Baro
A quantum transmitting SchrödingerPoisson
D. Belomestny
Statistical data analysis

Applied mathematical finance
J. Borchardt
Process simulation in gas
A. Bovier
Low temperature phases in

Stochastic dynamics

Gibbs measures of highly

Microscopic modeling in financial
I. Bremer
Optimization problems related to
G. Bruckner
Optimization of diffractive structures
J. Cerný
Microscopic modeling in financial
D. Davis
Thermocapillary instability in fullzone

Meltflow simulation in Czochralski
A. Demircan
Simulation of pulse propagation
W. Dreyer
Phase transitions

Kinetic schemes for selected

Micromacro transitions in the
F. Duderstadt
Phase transitions
J. Elschner
Optimization of diffractive structures

Quasilinear nonsmooth evolution systems
V. Essaoulova
Statistical data analysis
K. Fleischmann
Interacting catalytic branching processes
J. Fuhrmann
Threedimensional Delaunay mesh generation

Numerical simulation of Direct

pdelib
 Algorithms and
K. Gärtner
Algorithms for the solution

Optimization of the sparse

Threedimensional Delaunay mesh generation

Numerical simulation of Direct

pdelib
 Algorithms and
H. Gajewski
WIASTeSCA simulations of laser

Thermodynamicsbased modeling of semiconductor

Nonlocal phase separation problems
B. Gentz
Stochastic dynamics
A. Glitzky
WIASTeSCA simulations of laser

Stationary solutions of a
J.A. Griepentrog
Nonlocal phase separation problems
F. Grund
Process simulation in gas
D. Hömberg
Optimal control of surface
F.K. Hübner
Simulation of microwave and

Visualization of numerical simulations
R. Hünlich
WIASTeSCA simulations of laser

Thermodynamicsbased modeling of semiconductor

Stationary solutions of a
G. Hebermehl
Simulation of microwave and
R. Henrion
Optimization problems related to
M. Herrmann
Kinetic schemes for selected
D. Horn
Process simulation in gas
A. Hutt
Statistical data analysis
J. Sprekels
Micromacro transitions in the
S. Jaschke
Applied mathematical finance
Th. Jurke
Hysteresis operators
H.Chr. Kaiser
A quantum transmitting SchrödingerPoisson
M. Kesting
Simulation of pulse propagation
O. Klein
Hysteresis operators

Numerical simulation and optimization
A. Kolodko
Applied mathematical finance

Numerical analysis of complex
D. Kolyukhin
Numerical analysis of complex
R. Krahl
Twophase flow with evaporation
C. Külske
Low temperature phases in
H. Langmach
Meltflow simulation in Czochralski

pdelib
 Algorithms and
M. Herrmann
Micromacro transitions in the
P. Mathé
Statistical data analysis
I. Matheis
Stochastic models for Boltzmanntype
D. Mercurio
Statistical data analysis

Applied mathematical finance
G.N. Milstein
Applied mathematical finance

Numerical analysis of complex
H.J. Mucha
Statistical data analysis
H. Neidhardt
A quantum transmitting SchrödingerPoisson
P. Philip
Numerical simulation and optimization
J. Polzehl
Statistical data analysis
S. Qamar
Phase transitions

Kinetic schemes for selected
M. Radziunas
Dynamics of semiconductor lasers
A. Rathsfeld
Optimization of diffractive structures
J. Rehberg
A quantum transmitting SchrödingerPoisson

Quasilinear nonsmooth evolution systems
O. Reiß
Applied mathematical finance
G. Reinhardt
Meltflow simulation in Czochralski

Visualization of numerical simulations
K.K. Sabelfeld
Numerical analysis of complex
J. Schefter
Numerical simulation and optimization
R. Schlundt
Simulation of microwave and
G. Schmidt
Optimization of diffractive structures

Quasilinear nonsmooth evolution systems
K.R. Schneider
Dynamics of semiconductor lasers

Multiscale systems
J. Schoenmakers
Applied mathematical finance
N.D. Scurtu
Numerical simulation of nonNewtonian
M.H. Farshbaf Shaker
Optimal control of surface
E.V. Shchetinina
Multiscale systems
H. Si
Threedimensional Delaunay mesh generation

pdelib
 Algorithms and
V. Spokoiny
Statistical data analysis

Applied mathematical finance
J. Sprekels
Hysteresis operators

Numerical simulation and optimization

Approximation and optimization of
H. Stephan
Lyapunov functions for positive
A. Sturm
Interacting catalytic branching processes
D. Tiba
Approximation and optimization of
D. Turaev
Dynamics of semiconductor lasers

Multiscale systems
M. Uhle
pdelib
 Algorithms and
V. Vakthel
Interacting catalytic branching processes
A. Vladimirov
Dynamics of semiconductor lasers
R. Vodák
Approximation and optimization of
B. Wagner
Phase transitions

Stability of dewetting polymer
W. Wagner
Stochastic models for Boltzmanntype
W. Weiss
Optimal control of surface
K. Wilmanski
Wave properties of four

Numerical analysis of surface
M. Wolfrum
Dynamics of semiconductor lasers
S. Yanchuk
Dynamics of semiconductor lasers
J.H. ZachariasLanghans
Applied mathematical finance
adaptive weights smoothing
1. Adaptive smoothing

1. Adaptive smoothing
ageing
Stochastic dynamics
AlgebroDifferentialgleichungen
Overview
applied mathematical finance
Applied mathematical finance
arsenic precipitation
Phase transitions
AWS
AWS
bifurcation
Development of tools for
Biot's model
Wave properties of four
blockstructured Newtontype methods
Process simulation in gas
bluesky catastrophe
Project 1: Bluesky catastrophe
Boltzmann equation
Stochastic models for Boltzmanntype
BOP
Process simulation in gas

BOP
boundary integral equation method
Optimization of diffractive structures
boundary value problem
Simulation of microwave and
branching
interacting catalytic
Interacting catalytic branching processes
Neveu's branching process
Interacting catalytic branching processes
symbiotic
Interacting catalytic branching processes
bulk waves
Wave properties of four
capacities
Stochastic dynamics
chance constraints
Optimization problems related to
classification
1. Adaptive smoothing
ClusCorr98
^{®}
ClusCorr98
clusteranalysis
1. Adaptive smoothing
coagulation
Stochastic models for Boltzmanntype
compact interface property
Interacting catalytic branching processes
conditional logLaplace
Interacting catalytic branching processes
conical diffraction
Optimization of diffractive structures
continuity equation
Stationary solutions of a
continuousstate branching process
Gibbs measures of highly
convergence
Stochastic models for Boltzmanntype
coupled lasers
Synchronization of coupled lasers
curse ofdimensionality
2. Dimension reduction
curved mechanical structures
Approximation and optimization of
curved rods, threedimensional
Approximation and optimization of
data mining
1. Adaptive smoothing
delaydifferential equations
Passive modelocking in semiconductor
delayed loss of stability
Project 3: Integral manifolds
density estimation
1. Adaptive smoothing
DEPFET
Algorithms for the solution
differentialalgebraic equations
Overview

Process simulation in gas
diffraction of light waves
Optimization of diffractive structures
dimension reduction
2. Dimension reduction
DiPoG
Optimization of diffractive structures

DiPoG
dissipative SchrödingerPoisson system
A quantum transmitting SchrödingerPoisson
DLR measures
Low temperature phases in
DMFC
Numerical simulation of Direct
driftdiffusion
equations
Nonlocal phase separation problems
model
WIASTeSCA simulations of laser
dynamic Reynolds number (
AM
)
Thermocapillary instability in fullzone
dynamics of semiconductor lasers
no title
earthquake model
Optimization of diffractive structures
eigenmode problem
Simulation of microwave and
electricity management
Optimization problems related to
energy
balance
Thermodynamicsbased modeling of semiconductor
balance equation
Stationary solutions of a
model
Stationary solutions of a
transport model
Thermodynamicsbased modeling of semiconductor
evaporation
Twophase flow with evaporation
exchange of stabilities
Project 2: Exchange of
existence theorems
Stochastic models for Boltzmanntype
file formats
Visualization of numerical simulations
finance
applied mathematical
Applied mathematical finance
financial time series
1. Adaptive smoothing
finite element method
Numerical simulation of nonNewtonian
Finite Integration Technique (FIT)
Simulation of microwave and
floatingzone
Thermocapillary instability in fullzone
FokkerPlanck equation
Lyapunov functions for positive
fractional
scheme
Numerical simulation of nonNewtonian
fragmentation
Stochastic models for Boltzmanntype
free capillary surfaces
Twophase flow with evaporation
gallium arsenide
Phase transitions
gas turbine
Process simulation in gas
Gassmann relations
Wave properties of four
generalized random energy models
Stochastic dynamics

Gibbs measures of highly
Gibbs
measures
Gibbs measures of highly

Gibbs measures of highly
phase rule
Low temperature phases in
global optimization algorithm
Optimization of diffractive structures
gltools
Online graphics

gltools
grating enhanced effects
Optimization of diffractive structures
heat flow equation
WIASTeSCA simulations of laser

Thermodynamicsbased modeling of semiconductor
heating
Numerical simulation and optimization
Helmholtz equation
WIASTeSCA simulations of laser
heterogeneous media
Quasilinear nonsmooth evolution systems
heterostructure
Stationary solutions of a
high frequency solutions
Optimization of diffractive structures
high speed telecommunication
Passive modelocking in semiconductor
hysteresis
Hysteresis operators
image denoising
1. Adaptive smoothing
impermeable boundary
Numerical analysis of surface
Implicit Function Theorem
Stationary solutions of a
index model
2. Dimension reduction
multiindex model
2. Dimension reduction
singleindex model
2. Dimension reduction
indium phosphide (InP)
Meltflow simulation in Czochralski
induction
heating
Numerical simulation and optimization
inelastic collisions
Stochastic models for Boltzmanntype
integral manifolds
Project 3: Integral manifolds
intensity estimation
1. Adaptive smoothing
inverse problems
3. Statistics for inverse

3. Statistics for inverse
Kac potentials
Low temperature phases in
Kawasaki dynamics
Stochastic dynamics
laser diode
WIASTeSCA simulations of laser

WIASTeSCA simulations of laser
laserinduced thermotherapy
Optimal control of surface
lattice gas
Stochastic dynamics
LDSLtool
Dynamics of semiconductor lasers

LDSLtool
LIBOR model calibration
2. Robust interest rate
linear functionalstrategy
3. Statistics for inverse
linear kinetic equation
Lyapunov functions for positive
linear solver GSPAR
Process simulation in gas
LippmannSchwingertype integral equations
Optimization of diffractive structures
locking problem
Approximation and optimization of
Lyapunov function
Lyapunov functions for positive
magnetic resonance imaging
1. Adaptive smoothing
Marangoni convection
Thermocapillary instability in fullzone
Markov operator
Lyapunov functions for positive
mathematical finance
Applied mathematical finance
maximal temperature
Project 4: Maximal temperature
Maxwell's equation
Simulation of microwave and
metastability
Stochastic dynamics
micromacro transitions
Micromacro transitions in the
MKL
Optimization of the sparse
mode analysis
New features of
LDSLtool
:
modelocking
Passive modelocking in semiconductor
modeling
language MLPE
Process simulation in gas
Monte Carlo
4. MonteCarlo methods and
Monte Carlo methods
5. Monte Carlo methods
orthogonal array
5. Monte Carlo methods
multiscale clustering
Interacting catalytic branching processes
multisection semiconductor lasers
Quasiperiodic regimes in multisection
multiscale systems
Project 2: Exchange of
mutual phasesynchronization
1. Adaptive smoothing
NAVIER
Meltflow simulation in Czochralski
NavierStokes
Thermocapillary instability in fullzone

Meltflow simulation in Czochralski
Neveu's branching process
Interacting catalytic branching processes
nonlinear least squares problem
Optimization of diffractive structures
nonlinear Schrödinger equation
Simulation of pulse propagation
nonlocal interaction
Nonlocal phase separation problems
nonsmooth optimization
Optimization problems related to
numerical analysis of surface waves
Numerical analysis of surface
OpenMP
pdelib
 Algorithms and
optical fiber
Simulation of pulse propagation
optical grating
Optimization of diffractive structures
optimal control
Optimal control of surface
optimaldesign problem
Optimization of diffractive structures
oscillatory instabilities
Meltflow simulation in Czochralski
PARDISO
Simulation of microwave and
partially linear model
2. Dimension reduction
partielle Differentialgleichungen
Overview
pdelib
Overview

pdelib
 Algorithms and

pdelib
pdelib2
Improvement of the solver

Grid partitioning
Perfectly Matched Layer (PML)
Simulation of microwave and
PET
3. Statistics for inverse
phase separation
Nonlocal phase separation problems
phase transitions
Hysteresis operators

Optimal control of surface
PID control
Optimal control of surface
PirogovSinai theory
Low temperature phases in
pointwise adaptation
1. Adaptive smoothing
pointwiseadaptive estimation
1. Adaptive smoothing
Poisson equation
Stationary solutions of a
poroelastic materials
Wave properties of four
poroelastic medium
Numerical analysis of surface
Positron EmissionTomography (PET)
3. Statistics for inverse
pricing hedging nonstandard derivatives
1. Methods for pricing
process simulation
Process simulation in gas
profile reconstruction problem
Optimization of diffractive structures
quantum transmitting
boundary method
A quantum transmitting SchrödingerPoisson
boundary operator family
A quantum transmitting SchrödingerPoisson
SchrödingerPoisson system
A quantum transmitting SchrödingerPoisson

A quantum transmitting SchrödingerPoisson
quasilinear systems
Quasilinear nonsmooth evolution systems
quasiperiodic
Quasiperiodic regimes in multisection
random measures
Gibbs measures of highly
rectangular grids
Simulation of microwave and
regimes
Quasiperiodic regimes in multisection
regularity
Stationary solutions of a
regularity theory
Nonlocal phase separation problems
risk management
4. Methods for risk
scenario reduction
Optimization problems related to
second harmonic generation
Optimization of diffractive structures
semiconductor
devices
Thermodynamicsbased modeling of semiconductor

A quantum transmitting SchrödingerPoisson
nanostructures
A quantum transmitting SchrödingerPoisson
semiconductor device equations
Algorithms for the solution
shells
Approximation and optimization of
short pulses
Passive modelocking in semiconductor
silicon carbide (SiC)
Numerical simulation and optimization
simulation
sublimation growth of SiC
Numerical simulation and optimization
singularly perturbed systems
Project 1: Bluesky catastrophe
slow or centre manifolds
Stochastic dynamics
slowfast systems
Project 3: Integral manifolds

Stochastic dynamics
Smoluchowski's coagulation equation
Stochastic models for Boltzmanntype
Software
AWS
AWS
BOP
Process simulation in gas

BOP
ClusCorr98
^{®}
ClusCorr98
DiPoG
Optimization of diffractive structures

DiPoG
gltools
Online graphics

gltools
LDSLtool
Dynamics of semiconductor lasers

LDSLtool
OpenMP
pdelib
 Algorithms and
pdelib
Overview

pdelib
 Algorithms and

pdelib
pdelib2
Improvement of the solver

Grid partitioning
TetGen
Overview

pdelib
 Algorithms and
WIASHiTNIHS
Numerical simulation and optimization

WIASHiTNIHS
WIASQW
WIASQW
WIASSHarP
Optimal control of surface

WIASSHarP
WIASTeSCA
WIASTeSCA simulations of laser

WIASTeSCA simulations of laser

WIASTeSCA
solitons
Simulation of pulse propagation
stability
Thermocapillary instability in fullzone
statistical data analysis
Statistical data analysis
stochastic optimization
Optimization problems related to
strong differentiability of the solution
Quasilinear nonsmooth evolution systems
strong uniqueness of a singular stochastic equation
Interacting catalytic branching processes
structural adaptation
1. Adaptive smoothing
sublimation growth
Numerical simulation and optimization
supercontinuum
Simulation of pulse propagation
superprocess under a Brownian flow
Interacting catalytic branching processes
surface waves
Numerical analysis of surface
synchronization
Synchronization of coupled lasers
tail index
1. Adaptive smoothing
TetGen
Overview

pdelib
 Algorithms and
tetrahedral nets
Simulation of microwave and
thermal explosion
Project 4: Maximal temperature
thermoelastic contact problem
Optimal control of surface
timeaveraged temperature
Meltflow simulation in Czochralski
trading mechanisms
Microscopic modeling in financial
transformationinduced plasticity
Optimal control of surface
transition times
Stochastic dynamics
transmission problem for the Laplacian
Quasilinear nonsmooth evolution systems
transport model
A quantum transmitting SchrödingerPoisson
trap model
Stochastic dynamics
traveling wave model
New features of
LDSLtool
:
twodimensional electronhole gas
A quantum transmitting SchrödingerPoisson
2D wave equation
Optimization of diffractive structures
twophase flow
Twophase flow with evaporation
vaporliquid phase transition
Stochastic dynamics
vaporpressurecontrolled Czochralski (VCz)
Meltflow simulation in Czochralski
variance reduction
Stochastic models for Boltzmanntype
video
Visualization of numerical simulations
viscoelastic fluids
Numerical simulation of nonNewtonian
visualization
Visualization of numerical simulations
volatility estimation
3. Volatility estimation of
volatilityestimation
1. Adaptive smoothing
wavelet thresholding
1. Adaptive smoothing
weak limits
Stochastic models for Boltzmanntype
WentzellFreidlin theory
Stochastic dynamics

Stochastic dynamics
WIASHiTNIHS
Numerical simulation and optimization

WIASHiTNIHS
WIASQW
WIASQW
WIASSHarP
Optimal control of surface

WIASSHarP
WIASTeSCA
WIASTeSCA simulations of laser

WIASTeSCA simulations of laser

WIASTeSCA
LaTeX typesetting by I. Bremer
20040813