| Authors | Title | Publication status |
| A. Arnold, C. Sparber
| Quantum dynamical semigroups for
quantum diffusion models with Hartree interaction
| to appear in Comm. Math. Phys. (2004) |
| W. Bao, Y. Ge, D. Jaksch, P.A. Markowich, R.M. Weishäupl
| Convergence rates of dimension reduction on Bose-Einstein condensates
| Preprint |
| W. Bao, N.J. Mauser, H.P. Stimming
|
Effective one particle quantum dynamics of electrons: a numerical
study of the Schrödinger-Poisson-X-alpha model
| CMS 1 (2003), pp. 809-828 |
| W. Bao, P. A. Markowich, C. Schmeiser,
R.M. Weishäupl
| On the Gross-Pitaevskii equation with
strongly anisotropic confinement: formal asymptotics and numerical
experiments
| Math. Models and Meth. Appl. Sci. 15 (2005), pp. 767-782 |
| N. BenAbdallah, F. Mehats,
C. Schmeiser, R.M. Weishäupl
| The nonlinear Schrödinger equation
with a strongly anisotropic harmonic potential
| SIAM J. Math. Anal. 37 (2005), pp. 189-199 |
| C. Besse, N. Mauser, H.P. Stimming
| Numerical study of the Davey-Stewartson system
| M2AN 38 (2004), pp. 1035-1054 |
| H. Brandt, C. Hauert, K. Sigmund
|
Punishment and Reputation in spatial Public Goods Games
| Proc. R. Soc. Lond. B 270 (2003), pp. 1099-1104 |
| H. Brandt, K. Sigmund
| The logic of reprobation: assessment and action rules for indirect
reciprocation
| J. Theor. Biol. 231 (2004), pp. 475-486 |
| H. Brandt, K. Sigmund
| Indirect reciprocity, image-scoring and moral hazard
| to appear in PNAS |
| H. Brandt, K. Sigmund, H. Ohtsuki, Y. Iwasa
| A survey on indirect reciprocity
| to appear in Y. Takeuchi et al. (eds.), Mathematics for Ecology and
Environmental Sciences, Springer |
| M. Burger, S.-Y. Chu, P. Markowich, C. Schönlieb
| Instabilities in Cahn-Hilliard and the Willmore Functional
| Preprint |
| R. Carles, C. Sparber, P.A. Markowich
| Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves
| J. Stat. Phys. 117 (2004), pp. 369-401 |
| J. Carrillo, K. Fellner
| Long-time asymptotics via entropy methods for diffusion
dominated equations
| preprint no. 2/2004, Univ. Autonoma de Barcelona |
| F. Chalub, Y. Dolak-Struß, P.A. Markowich, D. Ölz,
C. Schmeiser, A. Soreff
| Model Hierarchies for Cell Aggregation by Chemotaxis
| Math. Models and Meth. Appl. Sci. 16 (2006), pp. 1173-1198. |
| L. Desvillettes, K. Fellner
| Exponential decay towards equilibrium via entropy methods for
reaction-diffusion equations
| preprint, CMLA-ENS de Cachan, 2004 |
| M. Di Francesco, M. Wunsch
| Large Time Behaviour in Wasserstein Space and Relative Entropy for Bipolar
Drift-Diffusion-Poisson Models
| Preprint |
| Y. Dolak, T. Hillen
| Cattaneo Models for Chemosensitive
Movement: Numerical Solution and Pattern Formation
| J. Math. Biol. 46 (2003), pp. 153-170 |
| Y. Dolak, C. Schmeiser
| A kinetic theory approach to resolving
the chemotactic wave paradox
| in Mathematical Modelling & Computing in Biology and
Medicine, (V. Capasso Ed.), ESCULAPIO Pub. Co., Bologna, 2003 |
| Y. Dolak, C. Schmeiser
| Kinetic models for chemotaxis:
Hydrodynamic limits and spatio-temporal mechanisms
| to appear in J. Math. Biol. |
| Y. Dolak, C. Schmeiser
| The Keller-Segel model with small
diffusivity
| to appear in SIAM J. Appl. Math. |
| J. Dolbeault, P.A. Markowich, D. Ölz, C. Schmeiser
| Nonlinear Diffusions as Limit of Kinetic Equations with Relaxation Collision Kernels
| to appear in ARMA |
| K. Fellner, L. Neumann, C. Schmeiser
|
Convergence to global equilibrium for spatially inhomogeneous kinetic
models of non-micro-reversible processes
| Monatsh. Math. 141 (2004), pp. 289-299 |
| K. Fellner, F. Poupaud, C. Schmeiser
|
Existence and convergence to equilibrium of a kinetic model for
cometary flows
| J. Stat. Phys. 114 (2004), pp. 1481-1499 |
| K. Fellner, C. Schmeiser
|
Burgers-Poisson: a nonlinear dispersive model equation
| SIAM J. Appl. Math. 64 (2004), pp. 1509-1525 |
| J. Haskovec, C. Schmeiser
| Transport in semiconductors at saturated
velocities
| Comm. in Math. Sci. 3 (2005), pp. 219-233 |
| Z. Huang, S. Jin, P.A. Markowich, C. Sparber
| A Bloch Decomposition based Numerical method for Quantum Dynamics in Periodic Potentials
| Preprint |
| Z. Huang, S. Jin, P.A. Markowich, C. Sparber, C. Zheng
| A Time-Splitting Scheme for the Dirac-Maxwell System
| JCP 208 (2005), pp. 761-789 |
| C. Klein, C. Sparber, P.A. Markowich
| Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation
| Preprint |
| A. Kluwick, N. Viertl
| Triple-deck regularization of weak hydraulic jumps in a two layer shallow water flow
| Proc. GAMM meeting 2005 |
| P. A. Markowich, P. Pietra, C. Pohl,
H.P. Stimming
|
A Wigner-measure analysis of the Dufort-Frankel scheme for the
Schrödinger equation
| SIAM J. Numer. Anal. 40 (2002), pp. 1281-1310 |
| P. A. Markowich, C. Sparber
| Highly oscillatory partial
differential equations
| to appear in Proc. ICIAM, Sydney (2003) |
| L. Neumann, C. Schmeiser
|
Convergence to global equilibrium for a kinetic model for fermions
| SIAM J. Math. Anal. 36 (2005), pp. 1652-1663 |
| D. Ölz, C. Schmeiser, A. Soreff
| Multistep navigation of leukocytes:
a stochastic model with memory effects
| to appear in Math. Medicine and Biology |
| N. Popovic, P. Szmolyan
| A geometric analysis of the
Lagerstrom model problem
| to appear in JDE |
| N. Popovic, P. Szmolyan
| Rigorous asymptotic expansions for
Lagerstrom's model equation - a geometric approach
| to appear in Nonl. Anal. TMA |
| C. Schönlieb, K.C. Wang
| Line Segmentation and Analysis With Special Interest to the Duct of a Line
| Proc. 4th Indian Conf. Comp. Vision, Graphics and Image Processing, Kolkata 2004,
pp. 550-555 |
| C. Sparber, R. Carles,
P. A. Markowich
| Semiclassical asymptotics for
weakly nonlinear Bloch waves
| to appear in J. Stat. Phys. (2004) |
| C. Sparber, J. A. Carrillo, J. Dolbeault,
P. A. Markowich
| On the Long Time Behavior of the
Quantum Fokker-Planck Equation
| Monatsh. Math. 141 (2004), pp. 237-257 |
| C. Sparber, P. A. Markowich
| Semiclassical asymptotics for the
Maxwell-Dirac system
| J. Math. Phys. 44 (2003), pp. 4555-4572 |
| C. Sparber, N. Mauser, P. A. Markowich
| Wigner Functions vs. WKB-Techniques
in Multivalued Geometrical Optics
| J. Asympt. Anal. 33 (2003), no. 2, pp. 153-187 |
| R.M. Weishäupl, C. Schmeiser, P.A. Markowich, J.P. Borgna
| A Hermite Pseudo-spectral method for solving systems of Gross-Pitaevskii equations
| Preprint |