Alpha well-posedness, alpha stability, and the matrix theorems of H.-O. Kreiss
type: Item
instance of: scholarly article
title: Alpha well-posedness, alpha stability, and the matrix theorems of H.-O. Kreiss
zbMATH Open document ID: 0543.65064
DOI: 10.1007/BF01400260
author: D. Pontzen
author: E. Goerlich
published in: Numerische Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/132987
review text: For systems of partial differential equations with constant coefficients and for the corresponding difference equations the concepts of \(\alpha\)- well-posedness and \(\alpha\)-stability are introduced. These concepts are more general than strong well-posedness and stability on the one hand, and more restrictive than weak well-posedness (Petrovskii condition) and weak stability (von Neumann condition) on the other. Characterizations of these properties are established which partly extend the matrix theorems of H.-O. Kreiss. Also a Lax type theorem is valid in this setting.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 35E15
zbMATH DE Number: 3864429
zbMATH Keywords: alpha well-posedness
zbMATH Keywords: alpha stability
zbMATH Keywords: matrix theorem of Kreiss
zbMATH Keywords: Lax type theorem
zbMATH Keywords: Petrovskii condition
zbMATH Keywords: von Neumann condition
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3864429