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20232026
most citedPACMANN: Point Adaptive Collocation Method for Artificial Neural Networks

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math.NA2026

An overview of machine learning-enhanced iterative methods for systems of linear and nonlinear equations

Yuhuang Meng, Jing Zhao, Alexander Heinlein

Systems of equations arise in a wide range of scientific and engineering applications. The present work focuses on solvers for general systems of equations, including but not limit…

math.NA2026

Model reduction of port-Hamiltonian systems via neural networks

Silke Glas, Alexander Heinlein, Harald Monsuur +1

In this paper, we consider structure-preserving model reduction of port-Hamiltonian (pH) systems which extend classical Hamiltonian systems with dissipation and an input-output por…