# Franziska Weber

Postdoctoral Fellow at the Department of Mathematics, University of Maryland.

#### Research Interests

Analysis and numerical methods for nonlinear partial differential equations.

I am currently working on the project Convergent numerical methods for nonlinear partial differential equations with applications in complex fluids and tumor modeling funded by the Norwegian research council and Marie Curie Actions.

#### Publications

K. Trivisa, F. Weber. Analysis and simulations on a model for the evolution of tumors
under the influence of nutrient and drug application.
* Accepted for publication in SIAM J. Numer. Anal. *arxiv preprint
matlab codes

U. Koley, N. H. Risebro, Ch. Schwab, F. Weber. Multilevel Monte Carlo for Random Degenerate Scalar Convection Diffusion Equation. *
J. Hyper. Differential Equations * 14 (2017), no. 415.
matlab scripts
**MR3703015**

F. Weber. Convergence rates of finite difference schemes for the linear advection
and wave equation with rough coefficient. *IMA Journal of Numerical Analysis.* 37 (2017), no. 3, 1538-1634.
**MR3671506**

K. Trivisa, F. Weber. A convergent explicit finite difference scheme for a mechanical model for tumor growth.
*ESAIM: Mathematical Modelling and Numerical Analysis,* 51 (2017), no. 1, 35-62.
**MR3601000**

N. H. Risebro, Ch. Schwab, F. Weber. Multilevel Monte Carlo front-tracking for random scalar conservation laws.
*BIT Numerical Mathematics* 56 (2015), no. 1, pp. 263-292.
**MR3486461**

G. M. Coclite, S. Mishra, N. H. Risebro, F. Weber. Analysis and numerical approximation of Brinkman regularization of
two-phase flows in porous media.
*Comput. Geosci.* 18 (2014), no. 5, 637-659.
**MR3258564**

T. K. Karper, F. Weber. A new angular momentum method for computing wave maps into spheres.
*SIAM J. Numer. Anal.* 52 (2014), no. 4, 2073-2091.
**MR3249366**

N. H. Risebro, F. Weber. A note on front tracking for the Keyfitz-Kranzer system.
*J. Math. Anal. Appl.* 407 (2013), no. 2, 190-199.
**MR3071091**

T. Mütze, F. Weber. Construction of 2-factors in the middle layer of the discrete
cube.
*J. Combin. Theory Ser. A* 119 (2012), no. 8, 1832-1855.
**MR2946389**
##### Preprints

F. Weber. Robust finite difference schemes
for a nonlinear variational wave equation modeling liquid crystals, preprint

##### Conference Proceedings

F. Weber. A constraint preserving finite difference method for the damped wave map
equation to the sphere. *Accepted for publication in Proceedings of Hyp2016.*

N. H. Risebro, F. Weber. Burgers' equation with a filtered velocity. *Hypberbolic Problems:
Theory, Numerics and Applications. Proceedings of Hyp2012*, Vol. 8, 1031 -1038, 2014.
Link to conference proceedings
**MR3525461**

#### Teaching

Spring 2017: AMSC/CMSC460: Computational Methods, University of Maryland.

Fall 2016: Measure Theoretic Tools for Analyzing and Approximating Nonlinear PDEs, ETH Zürich. Numerical Analysis Student Seminar.

Spring 2016: Topics in Mathematical and Computational Fluid Dynamics, ETH Zürich. Lecturer, joint with S. Mishra.
The lecture notes can be downloaded from here .

Fall 2015: Lineare Algebra und Numerische Methoden für Bauingenieure, ETH Zürich. Main Assistant and Organizer.

Fall 2010: Lineare Algebra für Mathematiker und Physiker, ETH Zürich. Student Teaching Assistant.

Spring 2010: Numerische Mathematik II, ETH Zürich. Student Teaching Assistant.

Fall 2009: Lineare Algebra für Informatiker, ETH Zürich. Student Teaching Assistant.

#### Contact

Franziska Weber

Department of Mathematics

University of Maryland

4176 Campus Drive - William E. Kirwan Hall

College Park, MD 20742

Office: MATH4301

Email: frweber[at]umd.edu

Last update 05/2017