A Birkhoff system is an algebra that has two binary operations · and +, with each being commutative, associative, and idempotent, and together satisfying x · (x + y) = x + (x · y). Examples of Birkhoff systems include lattices, and quasilattices, with the latter being the regularization of the variety of lattices. A number of papers have explored the bottom part of the lattice of subvarieties o...

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...

Talk Abstract We describe the application of arbitrary-order Hermite methods to hyperbolic-parabolic systems, including parabolic systems as a special case, emphasizing situations where the parabolic terms are small (e.g. large Reynolds or Peclet numbers). Using Fourier methods, we study the dispersion relation for the semidiscretized problem, leading to an understanding of time-step stability ...

1524-0703/$ see front matter 2010 Elsevier Inc doi:10.1016/j.gmod.2010.11.001 ⇑ Corresponding author. Fax: +55 21 25295067. E-mail addresses: [email protected] (T. Pereira), Brazil), [email protected] (I. Macêdo), smcosta@ucalg [email protected] (L.H. de Figueiredo), [email protected] (L While current image deformation methods are careful in making the new geometry seem right, little attention has been given...

Based on the smoothness criterion of minimum curvature variation of the curve, tangent angle constraints guaranteeing an optimized geometric Hermite (OGH) curve both mathematically and geometrically smooth is given, and new methods for constructing composite optimized geometric Hermite (COH) curves are presented in this paper. The comparison of the new methods with Yong and Cheng’s methods base...