On Unconditional Stability of Upwind Generalized Summation-by-Parts Schemes for Kinetic Equations in the Diffusion Limit
S. Ortleb, Proceedings in Applied Mathematics and Mechanics, 24, e202400119 (2024) Pdf
Mathematical foundation of the master-slave elimination
for arbitrary nonlinear multi-point constraints
J. Boungard, S. Ortleb, J. Wackerfuß, Proceedings in Applied Mathematics and Mechanics, 24, e202400114 (2024) Pdf
On the Stability of IMEX Upwind gSBP Schemes for 1D Linear Advection-Diffusion Equations
S. Ortleb, Communications on Applied Mathematics and Computation (2023) Pdf
Numerical Methods for Fluid Flow: High Order SBP Schemes, IMEX Advection-Diffusion Splitting and Positivity Preservation for Production-Destruction PDEs
S. Ortleb, Habilitation, Universität Kassel (2021) Pdf
A comparative Fourier analysis of discontinuous Galerkin schemes for advection-diffusion with respect to BR1, BR2, and local discontinuous Galerkin diffusion discretization
S. Ortleb, Mathematical Methods in the Applied Sciences 43 (2020), pp. 7841-7863 Pdf
L2-stability analysis of IMEX-(σ,μ) DG schemes for linear advection-diffusion equations
S. Ortleb, Applied Numerical Mathematics 147 (2020), pp. 43-65
An implicit wetting-drying algorithm for the discontinuous Galerkin method: application to the Tonle Sap, Mekong River Basin
H.-A. Le, J. Lambrechts, S. Ortleb, N. Gratiot, E. Deleersnijder, S. Soares-Frazão, Environ. Fluid. Mech. 20 (2020), pp. 923-951
Stability analysis of IMEX-DG schemes for advection-diffusion with focus on the diffusion treatment
S. Ortleb, in: T. Gleim, S. Lange (eds.), Proceedings of the 8th GACM Colloquium on Computational Mechanics for Young Scientists From Academia and Industry (2019), pp. 299-302 Pdf
Multirate GARK schemes for the simulation of fluid-structure interaction: Linear stability and the geometric conservation law
S. Bremicker-Trübelhorn, S. Ortleb, in: T. Gleim, S. Lange (eds.), Proceedings of the 8th GACM Colloquium on Computational Mechanics for Young Scientists From Academia and Industry (2019), pp. 295-298 Pdf
Stability analysis of IMEX-DG schemes for advection-diffusion with focus on the diffusion treatment
S. Ortleb, in: T. Gleim, S. Lange (eds.), Proceedings of the 8th GACM Colloquium on Computational Mechanics for Young Scientists From Academia and Industry (2019), pp. 299-302 Pdf
Comparison of exponential-explicit (EXPEX) schemes in the domain-based implicit-explicit (IMEX) setting with IMEX-RK schemes for CFD applications
V. Straub, S. Ortleb, in: T. Gleim, S. Lange (eds.), Proceedings of the 8th GACM Colloquium on Computational Mechanics for Young Scientists From Academia and Industry (2019), pp. 303-306 Pdf
A Fourier-type analysis of the Gauss and Gauss-Lobatto P1-discontinuous Galerkin methods for the linear advection-diffusion equation
S. Ortleb, AIP Conf. Proc. 2116, 340003 (2019)
A new domain-based implicit-explicit time stepping scheme based on the class of exponential integrators called sEPIRK
V. Straub, S. Ortleb, P. Birken, A. Meister, PAMM 19 (2019), e201900142
On the benefit of the summation-by-parts property on interior nodal sets
S. Ortleb, M. Franke, in: R. Owen, R. de Borst, J. Reese, C. Pearce (eds.), Proceedings of ECCM - ECFD 2018, pp. 77-88
On stability and conservation properties of (s)EPIRK integrators in the context of discretized PDEs
V. Straub, S. Ortleb, P. Birken, A. Meister, in: C. Klingenberg, M. Westdickenberg (eds.), Hyperbolic Problems: Theory, Numerics, Applications II, 237 (2018), pp. 617-629
A kinetic energy preserving DG scheme applied to mechanical FSI
S. Ortleb, PAMM 17 (2017), pp. 531-532 Pdf
On Multirate GARK Schemes with Adaptive Micro Step Sizes for Fluid-Structure Interaction: Order Conditions and Preservation of the Geometric Conservation Law
S. Bremicker-Trübelhorn, S. Ortleb, Aerospace 2017, 4(1) Pdf
A Kinetic Energy Preserving DG Scheme based on Gauss-Legendre Points
S. Ortleb, J. Sci. Comput. 71 (2017), pp. 1135-1168 Pdf
Patankar-Type Runge-Kutta Schemes for Linear PDEs
S. Ortleb, W. Hundsdorfer, arXiv:1610.02715 published in AIP Conf. Proc. 1863, 320008 (2017) Pdf
Adopting (s)EPIRK schemes in a domain-based IMEX setting
V. Straub, S. Ortleb, P. Birken, A. Meister, AIP Conf. Proc. 1863, 410008 (2017) Pdf
Kinetic energy preserving DG schemes based on summation-by-parts operators on interior node distributions
S. Ortleb, PAMM 16 (2016), pp. 857-858 Pdf
Time-adaptive multirate generalized-structure additively partitioned Runge-Kutta schemes for mechanical fluid-structure interaction
S. Bremicker-Trübelhorn, S. Ortleb, PAMM 16 (2016), pp. 869-870 Pdf
Efficient Time Integration of IMEX Type using Exponential Integrators for Compressible, Viscous Flow Simulation
V. Straub, S. Ortleb, P. Birken, A. Meister, PAMM 16 (2016), pp. 867-868 Pdf
A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions
A. Meister, S. Ortleb, Applied Mathematics and Computation 272, pp. 259-273 (2016) Pdf
An application of parameter sensitivity analysis for shallow water flow around a pier
S. Ortleb, AIP Conf. Proc. 1648, 560004 (2015) Pdf
Positivity Preserving Implicit and Partially Implicit Time Integration Methods in the Context of the DG Scheme Applied to Shallow Water Flows
S. Ortleb, in: J. Fuhrmann, M. Ohlberger, C. Rohde (eds.), International Symposium of Finite Volumes for Complex Applications VII (FVCA7), Berlin,
Springer Proceedings in Mathematics & Statistics 78, pp. 431-438 (2014) Pdf
A Comparison of positivity preserving techniques without time step restriction for the DG scheme applied to shallow water flows
S. Ortleb, PAMM 14, pp. 955-956 (2014) Pdf
On unconditionally positive implicit time integration for the DG scheme applied to shallow water flows
A. Meister, S. Ortleb, Int. J. Numer. Meth. Fluids 76, pp. 69-94 (2014) Pdf
On unconditionally positivity preserving DG schemes for shallow water flows with shock capturing by adaptive filtering procedures
S. Ortleb, A. Meister, PAMM 13, 2013, pp. 505-506 (2013) Pdf
A well-balanced DG scheme with unconditionally positive implicit time integration
S. Ortleb, A. Meister, in: F. Ancona, A. Bressan, P. Marcati, A. Marson (eds.) Hyperbolic Problems: Theory, Numerics, Applications.
Proceedings of the 14th International Conference on Hyperbolic Problems (Padua, 2012), AIMS Series on Applied Mathematics 8, 823 - 830 (2014)
The DG Scheme on Triangular Grids with Adaptive Modal and Variational Filtering Routines Applied to Shallow Water Flows
A. Meister, S. Ortleb, in: R. Ansorge, H. Bijl, A. Meister, T. Sonar (eds.),
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
Notes on Numerical Fluid Mechanics and Multidisciplinary Design 120, pp. 253-266 (2013) Pdf
A comparison of the Discontinuous-Galerkin and Spectral-Difference Method on triangulations using PKD polynomials
A. Meister, S. Ortleb, Th. Sonar, M. Wirz, JCP 231, pp. 7722-7729 (2012) Pdf
An extended Discontinuous Galerkin and Spectral Difference Method with modal filtering
A. Meister, S. Ortleb, Th. Sonar, M. Wirz, ZAMM 93, pp. 459-464 (2013) Pdf
New Adaptive Modal and DTV Filtering Routines for the DG Method on Triangular Grids applied to the Euler Equations
A. Meister, S. Ortleb, Th. Sonar, Int. J. Geomath. 3, pp. 17-50 (2012) Pdf
Application of spectral filtering to discontinuous Galerkin methods on triangulations
A. Meister, S. Ortleb, Th. Sonar, Numer. Methods Partial Differential Eq. 28, pp. 1840-1868 (2012) Pdf
Ein diskontinuierliches Galerkin-Verfahren hoher Ordnung auf Dreiecksgittern mit modaler Filterung zur Lösung hyperbolischer Erhaltungsgleichungen
S. Ortleb, Dissertation, Universität Kassel (2011)
Adaptive Spectral and DTV Filtering on Triangular Grids for the DG Method Applied to Compressible Fluid Flow
S. Ortleb, A. Meister, Th. Sonar, in: T. E. Simos, G. Psihoyios, Ch. Tsitouras, Z. Anastassi (eds.) AIP Conf. Proc. 1389, Volume A, pp. 911-914 (2011)
Adaptive Spectral Filtering and DTV Postprocessing for the DG Method on Triangular Grids
S. Ortleb, A. Meister, Th. Sonar, in: J. Prihoda, K. Kozel (eds.), Proc. Topical Problems of Fluid Mechanics (2011)
Adaptive Spectral Filtering and Digital Total Variation Processing for the DG Method on Triangular Grids: Applications to the Euler Equations
S. Ortleb, A. Meister, Th. Sonar, in: J. S. Hesthaven, E. M. Ronquist (eds.), Springer Lecture Notes in Computational Science and Engineering, Selected Papers from the ICOSAHOM 2009, pp. 469-477 (2009)
A new family of locally compact 4-dimensional translation planes admitting a 7-dimensional collineation group
S. Ortleb, Advances in Geometry 9, pp. 1-12 (2009)
Zur Klassifikation vierdimensionaler
Translationsebenen nach ihrer Kollineationsgruppe
S. Ortleb, Diploma thesis, Technical University of Braunschweig (2006)
