Title: Extensions of Fibonacci lattice rules
Authors: Cools, Ronald
Nuyens, Dirk
Issue Date: Aug-2009
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW545
Abstract: We study the trigonometric degree of pairs of embedded cubature rules for the approximation of two-dimensional integrals, where the basic cubature rule is a Fibonacci lattice rule. The embedded cubature rule is constructed by simply doubling the points which results in adding a shifted version of the basic Fibonacci rule. An explicit expression is derived for the trigonometric degree of this particular extension of the Fibonacci rule based on the index of the Fibonacci number.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section

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