Title :
Implicit Three-Dimensional Finite Differencing of Maxwell´s Equations
Author :
Holland, Richard
Author_Institution :
Electro Magnetic Applications, Inc. 1025 Hermosa Drive SE (87108) Post Office Box 8482 Albuquerque, New Mexico 87198 and Computer Sciences Corporation 1400 San Mateo Blvd. SE Albuquerque, New Mexico 87108
Abstract :
An alternating implicit differencing scheme (AIDS) is described for advancing the time-domain form of Maxwell´s curl equations. This scheme is a perturbation of the Crank-Nicolson method, and thus should have no stability limitation on ¿t. Test problems have been run with ¿t incremented by factors of 10 up to 106 à the Courant-limit. In no case was any instability observed, although most runs yielded erroneous solutions if ¿t was more than 103 à the Courant limit.
Keywords :
Acquired immune deficiency syndrome; Application software; Difference equations; Drives; Finite difference methods; Maxwell equations; Sparse matrices; Stability; Testing; Time domain analysis;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.1984.4333504