Extended Krylov subspaces approximations of matrix functions. Application to computational electromagnetics

Conference · Tue Dec 31 00:00:00 EST 1996

OSTI ID:440683

Druskin, V; Lee, Ping ^[1]; Knizhnerman, L ^[2]

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1. Schlumberger-Doll Research, Ridgefield, CT (United States)
2. Central Geophysical Expedition, Moscow (Russian Federation)

There is now a growing interest in the area of using Krylov subspace approximations to compute the actions of matrix functions. The main application of this approach is the solution of ODE systems, obtained after discretization of partial differential equations by method of lines. In the event that the cost of computing the matrix inverse is relatively inexpensive, it is sometimes attractive to solve the ODE using the extended Krylov subspaces, originated by actions of both positive and negative matrix powers. Examples of such problems can be found frequently in computational electromagnetics.

• Research Organization: Front Range Scientific Computations, Inc., Lakewood, CO (United States)
• OSTI ID: 440683
• Report Number(s): CONF-9604167-Vol.2; ON: DE96015307; TRN: 97:000721-0005
• Resource Relation: Conference: Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996; Other Information: PBD: [1996]; Related Information: Is Part Of Copper Mountain conference on iterative methods: Proceedings: Volume 2; PB: 242 p.
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
ELECTRIC CONDUCTIVITY
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
ITERATIVE METHODS
MATHEMATICAL SPACE
EDDY CURRENTS
ELECTRIC POTENTIAL
ELECTRIC CONDUCTORS