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On the Fibonacci k-numbers
We introduce a general Fibonacci sequence that generalizes, between others, both the classic Fibonacci sequence and the Pell sequence. These general kth Fibonacci numbers {Fk,n}n=0∞ were found byExpand
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The k-Fibonacci sequence and the Pascal 2-triangle
The general k-Fibonacci sequence {Fk,n}n=0∞ were found by studying the recursive application of two geometrical transformations used in the well-known 4-triangle longest-edge (4TLE) partition. ThisExpand
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On k-Fibonacci sequences and polynomials and their derivatives
The k-Fibonacci polynomials are the natural extension of the k-Fibonacci numbers and many of their properties admit a straightforward proof. Here in particular, we present the derivatives of theseExpand
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On k-Fibonacci numbers of arithmetic indexes
TLDR
In this paper, we study the sums of k-Fibonacci numbers with indexes in an arithmetic sequence, say an þ r for fixed integers a and r. Expand
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Local refinement of simplicial grids based on the skeleton
In this paper we present a novel approach to the development of a class of local simplicial refinement strategies. The algorithm in two dimensions first subdivides certain edges. Then each triangle,Expand
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About Local Re nement of Tetrahedral Grids based on Bisection
We present a novel approach to the development of a three-dimensional simplicial reenement strategies based on ideas that have been shown to be eeective for two-dimensional reenement. This procedureExpand
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Mesh quality improvement and other properties in the four-triangles longest-edge partition
TLDR
The four-triangles longest-edge partition of a triangle t is obtained by joining the midpoint of the longest edge of t to the opposite vertex and to the midpoints of the two remaining edges. Expand
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Application of a nonlinear evolution model to fire propagation
The numerical simulation of fire in forest has been an important objective in recent researches, The rate of spread and shape of a forest fire front is af8ecte.d by many factors. The most importantExpand
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On the adjacencies of triangular meshes based on skeleton-regular partitions
For any 2D triangulation τ, the 1-skeleton mesh of τ is the wireframe mesh defined by the edges of τ, while that for any 3D triangulation τ, the 1-skeleton and the 2-skeleton meshes, respectively,Expand
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An improved derefinement algorithm of nested meshes
TLDR
We present a new version of the derefinement algorithm developed by Plaza et al . Expand
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