Computational enhancement of discrete gradient method
Artur Kobus
TL;DR
This paper introduces a computational enhancement to the discrete gradient method for non-conservative dynamical systems, improving qualitative performance through a novel reservoir concept, demonstrated on nonlinear physical systems.
Contribution
The paper presents a low-order numerical approach that enhances the standard discrete gradient method using a new reservoir concept, specifically for non-conservative systems.
Findings
Enhanced qualitative performance over standard discrete gradient method
Effective on nonlinear physical systems
Demonstrated superiority of the new approach
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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Taxonomy
TopicsMechanical and Optical Resonators · Model Reduction and Neural Networks · Thermoelastic and Magnetoelastic Phenomena