Residual Dynamic Mode Decomposition (ResDMD) provides a novel computational approach to accurately compute spectral properties of Koopman operators. It overcomes challenges associated with finite truncations, enabling deeper insights into complex dynamical systems. The method eliminates the need for splitting snapshot data and showcases versatility across various systems.
The paper introduces ResDMD as a solution to issues in traditional methods like DMD and EDMD, offering robust and verified Koopmanism. By introducing new residuals, ResDMD allows for accurate computation of spectra and pseudospectra, providing enhanced insights into system dynamics. The approach simplifies the application of ResDMD and extends its potential for analyzing high-dimensional and nonlinear systems.
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by Matthew J.Co... klo arxiv.org 03-12-2024
https://arxiv.org/pdf/2403.05891.pdfSyvällisempiä Kysymyksiä