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...

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Vydané v:	Journal of computational physics Ročník 471; s. 111641
Hlavní autori:	Jin, Shi, Liu, Nana, Yu, Yue
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 15.12.2022
Predmet:	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
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