Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations

We investigate time complexities of finite difference methods for solving the high-dimensional linear heat equation, the high-dimensional linear hyperbolic equation and the multiscale hyperbolic heat system with quantum algorithms (hence referred to as the “quantum difference methods”). For the heat...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of computational physics Jg. 471; S. 111641
Hauptverfasser:	Jin, Shi, Liu, Nana, Yu, Yue
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 15.12.2022
Schlagworte:	Asymptotic-preserving schemes HHL algorithm Quantum difference methods Quantum linear systems algorithms Time complexity Quantum linear systems algorithms Asymptotic-preserving schemes Time complexity Quantum difference methods HHL algorithm
ISSN:	0021-9991, 1090-2716
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!