47 citations · 253 across the 14 of their papers we have counts for
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emgr - The Empirical Gramian Framework
Christian Himpe
System Gramian matrices are a well-known encoding for properties of input-output systems such as controllability, observability or minimality. These so-called system Gramians were…
Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software
Jörg Fehr, Jan Heiland, Christian Himpe +1
Over the recent years the importance of numerical experiments has gradually been more recognized. Nonetheless, sufficient documentation of how computational results have been obtai…
Hierarchical Approximate Proper Orthogonal Decomposition
Christian Himpe, Tobias Leibner, Stephan Rave
Proper Orthogonal Decomposition (POD) is a widely used technique for the construction of low-dimensional approximation spaces from high-dimensional input data. For large-scale appl…
Cross-Gramian-Based Model Reduction: A Comparison
Christian Himpe, Mario Ohlberger
As an alternative to the popular balanced truncation method, the cross Gramian matrix induces a class of balancing model reduction techniques. Besides the classical computation of…