We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The Positive-Definite Stability Analysis for Marching-on-in-Time Schemes.
- Authors
van Diepen, Petrus W. N.; van Beurden, Martijn C.; Dilz, Roeland J.
- Abstract
The positive-definite stability analysis (PDSA) is presented as a technique complementary to the companion-matrix stability analysis (CMSA). The PDSA is used to analyze the stability of marching-on-in-time (MOT) schemes. The heart of the PDSA is formed by the analysis on particular linear combinations of interaction matrices from an MOT scheme, which are assumed to be real-valued. If these are all positive definite, then the PDSA guarantees the stability of the scheme. The PDSA can be of a lower complexity than the full CMSA. The construction of the PDSA is shown and applied to two numerical examples.
- Subjects
PEOPLE'S Dispensary for Sick Animals; LINEAR statistical models; HEART
- Publication
Progress in Electromagnetics Research Letters, 2024, Vol 118, p71
- ISSN
1937-6480
- Publication type
Article
- DOI
10.2528/PIERL23112406