Code-Verification Techniques for the Method-of-Moments Implementation of the Electric-Field Integral Equation.
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Problem of collisionless, fully ionized single component plasma treated by means of Green function
Topological dynamics theory applied to nonlinear Volterra equations
Fundamental space phi and Fourier transformed function space psi
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The piecewise-sinusoidal reaction technique is applied to low frequency radiation and scattering from noncircular cylinders with perfect or imperfect conductivity. This report presents the theory, computer programs and numerical results for these two-dimensional problems with the TE polarization.
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The program, first written in REDUCE, was implemented in MACSYMA with several additional techniques which are explained. By utilizing many methods, the program can obtain closed-form and series solutions to a large class of linear and nonlinear problems. One of the techniques developed, reduction to a differential equation, has not previously appeared in the literature in the general form described.
The investigation reported is concerned with the construction of the resolvent for any given kernel function. In problems with ill-behaved inhomogeneous terms as, for instance, in the aerodynamic problem of flow over a flapped airfoil, direct numerical methods become very difficult. A description is presented of a solution method by resolvent which can be employed in such problems.
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Multigrid methods were applied to fluid dynamic problems. The problems include calculation of potential flow around airfoils and oscillating disk flow. It is shown that in both cases the multigrid methods are sufficient to obtain an approximate solution while reducing the computational work.
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