NDLI: The pseudo-differential approach¶to finite differences revisited

Content Provider	Springer Nature Link
Author	Markowich, Peter A. Poupaud, Frederic
Copyright Year	1999
Abstract	We systematically derive arbitrary-order finite difference discretizations of linear (pseudo-) differential problems by appropriately approximating the symbols of the (pseudo) differential operators in frequency space. The convergence (i.e., stability and consistency) analysis of the difference schemes is based directly on micro-local properties of the exact and approximating symbols. The analytical approach presented here sheds new light on the general philosophy of finite differences.
Starting Page	161
Ending Page	186
Page Count	26
File Format	PDF
ISSN	00080624
Journal	CALCOLO
Volume Number	36
Issue Number	3
e-ISSN	11265434
Language	English
Publisher	Springer-Verlag
Publisher Date	1999-09-01
Publisher Place	Milano
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Mathematics

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The pseudo-differential approach¶to finite differences revisited