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On Stability and Conservation Properties of (s)EPIRK Integrators in the Context of Discretized PDEs

2018
Exponential integrators are becoming increasingly popular for stiff problems of high dimension due to their attractive property of solving the linear part of the system exactly and hence being A-stable. In practice, however, exponential integrators are implemented using approximation techniques to matrix-vector products involving functions of the ...
Philipp Birken   +3 more
openaire   +1 more source

Relative Stability in the Sup-Norm and Input-to-State Stability in the Spatial Sup-Norm for Parabolic PDEs

IEEE Transactions on Automatic Control, 2022
Jun Zheng   +2 more
exaly  

Stability analysis of hierarchical tensor methods for time-dependent PDEs

Journal of Computational Physics, 2020
Daniele Venturi
exaly  

Lyapunov Function PDEs to the Stability of Some Complex Balancing Derivative and Compound Networks

IEEE Transactions on Automatic Control, 2022
Yafei Lu, Chuanhou Gao, Denis Dochain
exaly  

Stability Analysis for a Class of Linear $2\times 2$ Hyperbolic PDEs Using a Backstepping Transform

IEEE Transactions on Automatic Control, 2020
David Bou Saba   +2 more
exaly  

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