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Computational enhancement of discrete gradient method

2019/12/16 by Artur Kobus, Kobus, Artur
Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Mechanical and Optical Resonators #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.1912.07253

openalex publication_date 2019/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose new numerical approach to non-conservative dynamical systems. Our method being of low order, enhances qualitative performance of standard discrete gradient algorithm, thank to new concept of a reservoir. Paper is of explanatory character, focusing on concrete non-linear physical systems. Superiority of our new method with respect to standard discrete gradient method is observed.

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