TY - JOUR
T1 - The Positive-Definite Stability Analysis for Marching-on-in-Time Schemes
AU - van Diepen, P.W.N.
AU - van Beurden, Martijn C.
AU - Dilz, Roeland
PY - 2024/3/14
Y1 - 2024/3/14
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85188131853&partnerID=8YFLogxK
U2 - 10.2528/PIERL23112406
DO - 10.2528/PIERL23112406
M3 - Article
SN - 1937-6480
VL - 118
SP - 71
EP - 78
JO - Progress In Electromagnetics Research (PIER) Letters
JF - Progress In Electromagnetics Research (PIER) Letters
ER -