Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

We develop and analyze a first-order system least-squares spectral method for the second-order elliptic boundary value problem with variable coefficients. We first ...

Directional Chebyshev constants and transfinite diameter are defined for compact subsets of a complex algebraic curve in ℂ2. Given such a compact subset K, a formula equating the geometric mean of the ...