摘要
We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system.We demand that the scheme be higher order even when the coefficients are discontinuous.We discuss the connection between schemes for the second-order scalar Helmholtz equation and the first-order system for the electromagnetic or acoustic applications.
基金
The research of S.Tsynkovwas supported by the United States National Science Founda-tion(NSF)
Grant No.DMS-0509695
the United States Air Force Office of Scientific Research(AFOSR)
Grant No.FA9550-07-1-0170.