The HOL system is an LCF-style mechanized proof-assistant for conducting proofs in higher order logic. This paper discusses a proposal to extend the primitive basis of the logic un...
Modern 3D engines used in real-time applications provide shading that hides the lack of higher order continuity inside the shapes using modulated normals, textures, and tone-mappi...
ABSTRACT.Renormalization group (RG) methods are described for determining the key exponents related to the decay of solutions to nonlinear parabolic differential equations. Higher ...
The ultraconvergence property of a gradient recovery technique proposed by Zienkiewicz and Zhu is analyzed for the Laplace equation in the two dimensional setting. Under the assump...
In this paper we discuss the collocation method for a large class of Fredholm linear integro-differential equations. It will be shown that, when a certain higher order interpolati...