Sebastian Franz

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 25

Top Topics

Error Estimates

Structure Preserving

Numerical Methods

Top Venues

Comput. Math. Appl.

J. Sci. Comput.

Appl. Math. Lett.

Publications

Sebastian Franz, Natalia Kopteva
On the solution existence for collocation discretizations of time-fractional subdiffusion equations. CoRR (2024)
Sebastian Franz, Natalia Kopteva
Time stepping adaptation for subdiffusion problems with non-smooth right-hand sides. CoRR (2024)
Sebastian Franz, Natalia Kopteva
On the Solution Existence for Collocation Discretizations of Time-Fractional Subdiffusion Equations. J. Sci. Comput. 100 (3) (2024)
Sebastian Franz
Post-processing and improved error estimates of numerical methods for evolutionary systems. CoRR (2023)
Sebastian Franz, Kleio Liotati
Numerical analysis of a singularly perturbed 4th order problem with a shift term. CoRR (2023)
Markus Bause, Sebastian Franz
Structure preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system. CoRR (2023)
Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos
A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space. Appl. Math. Comput. 437 (2023)
Sebastian Franz, Natalia Kopteva
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. J. Comput. Appl. Math. 427 (2023)
Mirjana Brdar, Sebastian Franz, Hans-Goerg Roos
A convection-diffusion problem with a large shift on Duran meshes. CoRR (2023)
Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos
A time dependent singularly perturbed problem with shift in space. CoRR (2022)
Alan Demlow, Sebastian Franz, Natalia Kopteva
Maximum norm a posteriori error estimates for convection-diffusion problems. CoRR (2022)
Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos
Numerical analysis of a singularly perturbed convection diffusion problem with shift in space. CoRR (2022)
Sebastian Franz, Natalia Kopteva
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. CoRR (2022)
Sebastian Franz, Natalia Kopteva
Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis. CoRR (2022)
Sebastian Franz
Singularly perturbed reaction-diffusion problems as first order systems. CoRR (2021)
Sebastian Franz
Singularly Perturbed Reaction-Diffusion Problems as First order systems. J. Sci. Comput. 89 (2) (2021)
Raphael Labaca Castro, Sebastian Franz, Gabi Dreo Rodosek
AIMED-RL: Exploring Adversarial Malware Examples with Reinforcement Learning. ECML/PKDD (4) (2021)
Sebastian Franz
-elements. CoRR (2021)
Sebastian Franz
Anisotropic Hdiv-norm error estimates for rectangular Hdiv-elements. Appl. Math. Lett. 121 (2021)
Sebastian Franz
Continuous time integration for changing time systems. CoRR (2019)
Sebastian Franz, Gunar Matthies
A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time. Math. Comput. 87 (313) (2018)
Philippos Constantinou, Sebastian Franz, Lars Ludwig, Christos Xenophontos
Finite element approximation of reaction-diffusion problems using an exponentially graded mesh. Comput. Math. Appl. 76 (10) (2018)
Sebastian Franz, Christos Xenophontos
A Short Note on the Connection Between Layer-Adapted Exponentially Graded and S-Type Meshes. Comput. Methods Appl. Math. 18 (2) (2018)
Sebastian Franz, Hans-Görg Roos
Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems. Comput. Math. Appl. 72 (1) (2016)
Christos Xenophontos, Sebastian Franz, Lars Ludwig
Finite element approximation of convection-diffusion problems using an exponentially graded mesh. Comput. Math. Appl. 72 (6) (2016)
Oliver Ullrich, Sebastian Franz, Ewald Speckenmeyer, Daniel Lückerath
Simulation and Optimization of Cologne's Tram Schedule. Simul. Notes Eur. 22 (2) (2012)
Sebastian Franz, Hans-Görg Roos, Roland Gärtner, Axel Voigt
A Note on the Convergence Analysis of a Diffuse-domain Approach. Comput. Methods Appl. Math. 12 (2) (2012)
Sebastian Franz, R. Bruce Kellogg, Martin Stynes
Galerkin and streamline diffusion finite element methods on a Shishkin mesh for a convection-diffusion problem with corner singularities. Math. Comput. 81 (278) (2012)
Sebastian Franz, Hans-Görg Roos
The Capriciousness of Numerical Methods for Singular Perturbations. SIAM Rev. 53 (1) (2011)
Sebastian Franz, Gunar Matthies
Local projection stabilisation on S-type meshes for convection-diffusion problems with characteristic layers. Computing 87 (3-4) (2010)