معرفی
PD Dr. Sigrun Ortleb is an Associate Professor at the Institute of Mathematics, University of Kassel, Germany. Her academic affiliation spans over two decades at the same institution.
- Current Position: Associate Professor (Privatdozentin) since 2021
- Academic Background: Habilitation (2021), PhD (2011), Diplom (2006) from TU Braunschweig
Research Focus:
Sigrun Ortleb specializes in advanced numerical methods for partial differential equations, with particular emphasis on:
- Discontinuous Galerkin (DG) methods for conservation/balance equations (Euler, Navier-Stokes, shallow water)
- Positivity-preserving time integration techniques
- Summation-by-parts operators for high-order accuracy
- IMEX and multi-rate time integration
- Efficient shock filters for DG processes
- Image processing methods for numerical solution post-processing
Publication Trends:
Her work primarily addresses computational fluid dynamics challenges through:
- Development of stable, high-order DG schemes
- IMEX time integration for stiff systems
- Geometric conservation laws in FSI
- Adaptive filtering techniques
- Positivity preservation in shallow water equations
- Summation-by-parts operators for conservation
Teaching Contributions:
Dr. Ortleb has taught advanced mathematics courses for mechanical engineers since 2007, including:
- Higher Mathematics I & II
- Numerics of Stiff Problems
- Fluid-Structure Interaction
- Numerical Analysis of ODEs/PDEs
- Mathematical Modeling
- Discontinuous Galerkin Methods
Key Collaborations:
She has collaborated with experts in:
- Computational mechanics (J. Boungard, J. Wackerfuß)
- Exponential integrators (V. Straub, P. Birken, A. Meister)
- Geometric conservation laws (S. Bremicker-Trübelhorn)
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