TY - CHAP A1 - Lu, Yi A1 - Marheineke, Nicole A1 - Mohring, Jan T1 - Interpolation strategy for BT-based parametric MOR of gas pipeline-networks N2 - Proceeding from balanced truncation-based parametric reduced order models (BT-pROM) a matrix interpolation strategy is presented that allows the cheap evaluation of reduced order models at new parameter sets. The method ex- tends the framework of model order reduction (MOR) for high-order parameter- dependent linear time invariant systems in descriptor form by Geuss (2013) by treating not only permutations and rotations but also distortions of reduced order basis vectors. The applicability of the interpolation strategy and different variants is shown on BT-pROMs for gas transport in pipeline-networks Y1 - 2016 ER - TY - CHAP A1 - Lu, Yi A1 - Marheineke, Nicole A1 - Mohring, Jan T1 - MOR via quadratic-linear representation of nonlinear-parametric PDEs N2 - This work deals with the model order reduction (MOR) of a nonlinear- parametric system of partial differential equations (PDEs). Applying a semidis- cretization in space and replacing the nonlinearities by introducing new state vari- ables, we set up quadratic-linear differential algebraic systems (QLDAE) and use a Krylov-subspace MOR. The approach is investigated for gas pipeline modeling Y1 - 2016 ER - TY - CHAP A1 - Lu, Yi A1 - Marheineke, Nicole A1 - Mohring, Jan T1 - Stability-Preserving Interpolation Strategy for Parametric MOR of Gas Pipeline-Networks N2 - Optimization and control of large transient gas networks require the fast simulation of the underlying parametric partial differential algebraic systems. Sur- rogate modeling techniques based on linearization around specific stationary states, spatial semi-discretization and model order reduction allow for the set-up of para- metric reduced order models that can act as basis sample to cover a wide parameter range by means of matrix interpolations. However, the interpolated models are often not stable. In this paper, we develop a stability-preserving interpolation method. Y1 - 2016 ER -