DTIC ADA185434: Eigenvalue Projection Theory for Linear pdf

DTIC ADA185434: Eigenvalue Projection Theory for Linear

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Description of the Book:

Equations representing realistic electromagnetics problems seldom yield exact solutions, and thus are usually treated numerically. In general, a discretization procedure such as the method of moments (also known as the weighted residual method) is used to convert the original continuous equation to a finite-dimensional matrix equation. A theory is presented that demonstrates the relation between the eigenvalue spectrum of the original, continuous operator and the eigenvalues of the method-of-moments matrix. In addition, an equivalence between the finite difference method and the method of moments is developed that permits the theory to be applied to finite-difference equations. Examples involving differential and integral equations are used to confirm the theory and to illustrate the typical eigenvalue spectrum arising in electromagnetic field problems

• Creator/s: Defense Technical Information Center
• Date: 9/1/1987
• Year: 1987
• Book Topics/Themes: DTIC Archive, Peterson, A F, ILLINOIS UNIV AT URBANA COORDINATED SCIENCE LAB, *ELECTROMAGNETIC SCATTERING, SOLUTIONS(GENERAL), NUMERICAL METHODS AND PROCEDURES, ITERATIONS, METHOD OF MOMENTS, MATRICES(MATHEMATICS), COMPARISON, FINITE DIFFERENCE THEORY, LINEAR ALGEBRA, OPERATORS(MATHEMATICS), EIGENVALUES

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