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Sebastian Franz
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2020 – today
- 2024
- [j15]Sebastian Franz
, Natalia Kopteva
On the Solution Existence for Collocation Discretizations of Time-Fractional Subdiffusion Equations. J. Sci. Comput. 100(3): 68 (2024) - [i15]Sebastian Franz, Natalia Kopteva:
Time stepping adaptation for subdiffusion problems with non-smooth right-hand sides. CoRR abs/2401.01586 (2024) - [i14]Sebastian Franz, Natalia Kopteva:
On the solution existence for collocation discretizations of time-fractional subdiffusion equations. CoRR abs/2403.11847 (2024) - [i13]Andreas Buchinger, Sebastian Franz, Nathanael Skrepek, Marcus Waurick:
Homogenisation for Maxwell and Friends. CoRR abs/2409.07084 (2024) - 2023
- [j14]Mirjana Brdar
A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space. Appl. Math. Comput. 437: 127507 (2023) - [j13]Sebastian Franz
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. J. Comput. Appl. Math. 427: 115122 (2023) - [i12]Mirjana Brdar, Sebastian Franz, Hans-Goerg Roos:
A convection-diffusion problem with a large shift on Duran meshes. CoRR abs/2304.10937 (2023) - [i11]Sebastian Franz:
Post-processing and improved error estimates of numerical methods for evolutionary systems. CoRR abs/2304.12816 (2023) - [i10]Sebastian Franz, Kleio Liotati:
Numerical analysis of a singularly perturbed 4th order problem with a shift term. CoRR abs/2309.12105 (2023) - [i9]Markus Bause, Sebastian Franz:
Structure preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system. CoRR abs/2311.01264 (2023) - 2022
- [i8]Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos:
A time dependent singularly perturbed problem with shift in space. CoRR abs/2202.01601 (2022) - [i7]Alan Demlow, Sebastian Franz, Natalia Kopteva
Maximum norm a posteriori error estimates for convection-diffusion problems. CoRR abs/2207.08251 (2022) - [i6]Mirjana Brdar, Sebastian Franz, Lars Ludwig, Hans-Görg Roos:
Numerical analysis of a singularly perturbed convection diffusion problem with shift in space. CoRR abs/2207.09218 (2022) - [i5]Sebastian Franz, Natalia Kopteva:
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. CoRR abs/2211.06272 (2022) - [i4]Sebastian Franz, Natalia Kopteva:
Green's function estimates for a 2d singularly perturbed convection-diffusion problem: extended analysis. CoRR abs/2212.11916 (2022) - 2021
- [j12]Sebastian Franz
Anisotropic Hdiv-norm error estimates for rectangular Hdiv-elements. Appl. Math. Lett. 121: 107453 (2021) - [j11]Sebastian Franz
Singularly Perturbed Reaction-Diffusion Problems as First order systems. J. Sci. Comput. 89(2): 38 (2021) - [c1]Raphael Labaca Castro, Sebastian Franz
AIMED-RL: Exploring Adversarial Malware Examples with Reinforcement Learning. ECML/PKDD (4) 2021: 37-52 - [i3]Sebastian Franz:
Anisotropic Hdiv-norm error estimates for rectangular Hdiv-elements. CoRR abs/2103.07196 (2021) - [i2]Sebastian Franz:
Singularly perturbed reaction-diffusion problems as first order systems. CoRR abs/2103.10750 (2021)
2010 – 2019
- 2019
- [i1]Sebastian Franz:
Continuous time integration for changing time systems. CoRR abs/1908.00728 (2019) - 2018
- [j10]Philippos Constantinou, Sebastian Franz
Finite element approximation of reaction-diffusion problems using an exponentially graded mesh. Comput. Math. Appl. 76(10): 2523-2534 (2018) - [j9]Sebastian Franz
A Short Note on the Connection Between Layer-Adapted Exponentially Graded and S-Type Meshes. Comput. Methods Appl. Math. 18(2): 199-202 (2018) - [j8]Sebastian Franz
A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time. Math. Comput. 87(313): 2113-2132 (2018) - 2016
- [j7]Sebastian Franz
Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems. Comput. Math. Appl. 72(1): 233-247 (2016) - [j6]Christos Xenophontos
Finite element approximation of convection-diffusion problems using an exponentially graded mesh. Comput. Math. Appl. 72(6): 1532-1540 (2016) - 2012
- [j5]Sebastian Franz
A Note on the Convergence Analysis of a Diffuse-domain Approach. Comput. Methods Appl. Math. 12(2): 153-167 (2012) - [j4]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): 661-685 (2012) - [j3]Oliver Ullrich
Simulation and Optimization of Cologne's Tram Schedule. Simul. Notes Eur. 22(2): 69-76 (2012) - 2011
- [j2]Sebastian Franz
The Capriciousness of Numerical Methods for Singular Perturbations. SIAM Rev. 53(1): 157-173 (2011) - 2010
- [j1]Sebastian Franz
Local projection stabilisation on S-type meshes for convection-diffusion problems with characteristic layers. Computing 87(3-4): 135-167 (2010)
Coauthor Index
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