On Operator Splitting for the Viscous Burgers' and the Korteweg-de Vries Equations

We discuss numerical quadratures in one and two dimensions, which is followed by a discussion regarding the differentiation of general operators in Banach spaces. In addition, we discuss the standard and fractional Sobolev spaces, and prove several properties for these spaces.We show that the operat...

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Bibliographic Details
Main Author: Nilsen, Espen Birger
Format: Others
Language:English
Published: Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag 2011
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-13178