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On the Fibonacci k-numbers

- S. Falcón, Angel Plaza
- Mathematics
- 1 June 2007

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 by… Expand

231 21

The k-Fibonacci sequence and the Pascal 2-triangle

- S. Falcón, Angel Plaza
- Mathematics
- 1 July 2007

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. This… Expand

171 9- PDF

On k-Fibonacci sequences and polynomials and their derivatives

- S. Falcón, Angel Plaza
- Mathematics
- 15 February 2009

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 these… Expand

92 4- PDF

On k-Fibonacci numbers of arithmetic indexes

- S. Falcón, Angel Plaza
- Mathematics, Computer Science
- Appl. Math. Comput.
- 1 February 2009

TLDR

50 4- PDF

Local refinement of simplicial grids based on the skeleton

- Angel Plaza, G. Carey
- Mathematics
- 1 February 2000

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

91 2- PDF

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 procedure… Expand

17 2

Mesh quality improvement and other properties in the four-triangles longest-edge partition

- Angel Plaza, J. P. Suárez, Miguel A. Padrón, S. Falcón, Daniel Amieiro
- Mathematics, Computer Science
- Comput. Aided Geom. Des.
- 1 April 2004

TLDR

31 1

Application of a nonlinear evolution model to fire propagation

- R. Montenegro, Angel Plaza, L. Ferragut, M. I. Asensio
- Mathematics
- 1 December 1997

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 important… Expand

25 1- PDF

On the adjacencies of triangular meshes based on skeleton-regular partitions

- Angel Plaza, M. Rivara
- Mathematics
- 1 March 2002

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

14 1

An improved derefinement algorithm of nested meshes

- Angel Plaza, R. Montenegro, L. Ferragut
- Computer Science
- 1 October 1996

TLDR

26 1- PDF

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