T-Ω Formulation with Higher-Order Hierarchical Basis Functions for Nonsimply Connected Conductors

Higher Order Hierarchical Legendre Basis Functions Application to the Analysis of Scattering by Uniaxial Anisotropic Objects

An efficient technique for the analysis of scattering by uniaxial anisotropic objects is presented. The technique is based on the method of higher order MoM of the surface integral equations. This higher order MoM solution uses the higher order hierarchical basis functions which are based on the modified Legendre polynomials. Numerical results are given to demonstrate that the higher order hier...

Higher-Order Hierarchical Basis Functions with Improved Orthogonality Properties for Moment-Method Modeling of Metallic and Dielectric Microwave Structures

Three classes of higher-order hierarchical basis functions constructed from standard orthogonal polynomials are proposed and evaluated for modeling of combined metallic and dielectric microwave structures. The reduction of the condition number of moment-method matrices is several orders of magnitude when compared to the technique using regular polynomial basis functions.

Deforestation for Higher-Order Functions

Higher Order Functions Considered Unnecessary for Higher Order Programming

It is often claimed that the essence of functional programming is the use of functions as values, i.e., of higher order functions, and many interesting examples have been given showing the power of this approach. Unfortunately, the logic of higher order functions is diicult, and in particular, higher order uniication is undecidable. Moreover (and closely related), higher order expressions are n...

Higher-Order Functions for Parsing

In combinator parsing , the text of parsers resembles BNF notation. We present the basic method, and a number of extensions. We address the special problems presented by white– space, and parsers with separate lexical and syntactic phases. In particular, a combining form for handling the “offside rule” is given. Other extensions to the basic method include an “into” combining form with many use...