Approximation on partially ordered sets of regular grids
نویسندگان
چکیده
منابع مشابه
Approximation on Partially Ordered Sets of Regular Grids
In this paper we analyse the approximation of functions on partially ordered sequences of regular grids. We start with the formulation of minimal requirements for useful grid transfer operators in such a partially ordered context, and we continue with the introduction of hierarchical decompositions and the identiication of piecewise constant and piecewise linear approximations as special instan...
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In this paper we discuss diierent possibilities of using partially ordered sets of grids in multigrid algorithms. Because, for a classical sequence of regular grids the number of degrees of freedom grows much faster with the reenement level for 3D than for 2D, it is more diicult to nd suuciently eeective relaxation procedures. Therefore, we study the possibility of using diierent families of (r...
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Let a family of monomorphisms in the category A To study mathematical notions in a category A, such as injectivity, tensor products, flatness, with respect to a class M of its (mono)morphisms, one should know some of the categorical properties of the pair (A ,M ). In this paper we take A to be thecategory Pos-S of S-partially ordered sets and to be a particular class o...
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For example, thus far, I had the fortune to work intimately with nine (9) undergraduate students on research questions in the areas of computational algebra and algebraic geometry. I am directing two master’s students in their research for their theses at Sam Houston State University. All of these undergraduate students have enrolled in graduate programs around the country. Three have finished ...
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ژورنال
عنوان ژورنال: Applied Numerical Mathematics
سال: 1997
ISSN: 0168-9274
DOI: 10.1016/s0168-9274(97)00043-3