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math.NA2019★ 1 cited
Computational enhancement of discrete gradient method
Artur Kobus
We propose new numerical approach to non-conservative dynamical systems. Our method being of low order, enhances qualitative performance of standard discrete gradient algorithm, th…
math.NA2019
Forced extension of GNI techniques to dissipative systems
Artur Kobus
We propose new concept of energy reservoir and effectively conserved quantity, what enables us to treat dissipative systems along the lines of the framework of Geometric Numerical…