On the Regularization and Stabilization of Approximation Schemes for C 0-Semigroups

Content Provider	Semantic Scholar
Author	Flory, Simone Neubrander, Frank Zhuang, Yu
Copyright Year	2001
Abstract	Many temporal discretization methods for linear evolution equations converge uniformly on compact time intervals at the rate 1 nα only for sufficiently smooth initial data. It is shown that these methods can be regularized such that the new schemes converge ‘in the average’ at the rate 1 nα for all initial data. Examples given include the Crank-Nicholson scheme and the alternating direction implicit method.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://cs.ttu.edu/~zhuang/Publication/fnz.pdf
Alternate Webpage(s)	http://www.math.lsu.edu/~neubrand/fnz.pdf
Alternate Webpage(s)	https://www.math.lsu.edu/~neubrand/fnz.pdf
Language	English
Access Restriction	Open
Subject Keyword	Alternating direction implicit method Approximation Converge Crank (person) Crank–Nicolson method Discretization Explicit and implicit methods Methamphetamine
Content Type	Text
Resource Type	Article