Franziska Weber
Assistant Professor at the Department of Mathematical Sciences, Carnegie Mellon University.
Research Interests
Mathematical and numerical analysis of nonlinear partial differential equations.
Publications
K. Trivisa, F. Weber. Analysis and simulations on a model for the evolution of tumors
under the influence of nutrient and drug application.
SIAM J. Numer. Anal. 56 (2018), no. 1, 542–569.
matlab codes
MR3765908
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
R. H. Nochetto, K. Trivisa, F. Weber.
Existence of Global Weak Solutions of a System of Equations Modeling Ferrohydrodynamics and Relaxation to the Equilibrium
preprint
J. Bedrossian, M. Coti Zelati, S. Punshon-Smith, F. Weber.
A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations
preprint
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. Hypberbolic Problems:
Theory, Numerics and Applications. Proceedings of Hyp2016, Vol. 2, 643-654, 2018.
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
Fall 2018: 21-469: Numerical Methods II: Scientific Computing, Carnegie Mellon University.
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 Mathematical Sciences
Carnegie Mellon University
Wean Hall 6113
Pittsburgh, PA 15213
Office: We8206
Email: franzisw[at]andrew.cmu.edu
Last update 05/2017