81 citations
- Max Planck SocietyDE17 papers
- Otto-von-Guericke-Universität MagdeburgDE4 papers
- Rice UniversityUS3 papers
- University of KlagenfurtAT3 papers
- Brandenburg University of Technology Cottbus-SenftenbergDE2 papers
- Virginia TechUS2 papers
- Baylor College of MedicineUS1 paper
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- Czech Technical University in PragueCZ1 paper
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- Institute of Applied Mathematics and MechanicsUA1 paper
6 papers · 1 filter
Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification
Peter Benner, Jan Heiland
The quantification of multivariate uncertainties in partial differential equations can easily exceed any computing capacity unless proper measures are taken to reduce the complexit…
Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems
Peter Benner, Carolin Penke
Optical properties of materials related to light absorption and scattering are explained by the excitation of electrons. The Bethe-Salpeter equation is the state-of-the-art approac…
Hyperbolic Discretization via Riemann Invariants
Sara Grundel, Michael Herty
We are interested in numerical schemes for the simulation of large scale gas networks. Typical models are based on the isentropic Euler equations with realistic gas constant. The n…
Rational approximation of the absolute value function from measurements: a numerical study of recent methods
Ion Victor Gosea, Athanasios C. Antoulas
In this work, we propose an extensive numerical study on approximating the absolute value function. The methods presented in this paper compute approximants in the form of rational…
A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction
Stephan Rave, Jens Saak
In this contribution we aim to satisfy the demand for a publicly available benchmark for parametric model order reduction that is scalable both in degrees of freedom as well as par…
Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations
Nicodemus Banagaaya, Giuseppe Ali, Sara Grundel +1
We extend the index-aware model-order reduction method to systems of nonlinear differential-algebraic equations with a special nonlinear term f(Ex), where E is a singular matrix. S…