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APPML
2007
92views more  APPML 2007»
13 years 11 months ago
Topological grammars for data approximation
A method of topological grammars is proposed for multidimensional data approximation. For data with complex topology we define a principal cubic complex of low dimension and give...
Alexander N. Gorban, Neil R. Sumner, Andrei Yu. Zi...
APPML
2007
92views more  APPML 2007»
13 years 11 months ago
On some homogenization problems from shallow water theory
This note is devoted to the effect of topography on geophysical flows. We consider two models derived from shallow water theory: the quasigeostrophic equation and the lake equati...
Didier Bresch, David Gérard-Varet
APPML
2007
154views more  APPML 2007»
13 years 11 months ago
Comparison of distances between measures
The problem of optimal transportation between a set of sources and a set of wells has become recently the object of new mathematical models generalizing the Monge-Kantorovich prob...
Jean-Michel Morel, Filippo Santambrogio
APPML
2007
57views more  APPML 2007»
13 years 11 months ago
On plane bipartite graphs without fixed edges
-An edge of a graph H with a perfect matching is a fixed edge if it either belongs to none or to all of the perfect matchings of H. It is shown that a connected plane bipartite gra...
Khaled Salem, Sandi Klavzar
APPML
2007
101views more  APPML 2007»
13 years 11 months ago
Analysis on the critical speed of traveling waves
The note is concerned with a time-delayed reaction–diffusion equation with nonlocality for the population dynamics of single species. For the critical speed of traveling waves, ...
Jiaoyu Wu, Di Wei, Ming Mei
APPML
2007
95views more  APPML 2007»
13 years 11 months ago
On the solvability of two-point, second-order boundary value problems
We gain solvability to a system of nonlinear, second-order ordinary differential equations subject to a range of boundary conditions. The ideas involve differential inequalities...
Matthew Rudd, Christopher C. Tisdell
APPML
2007
76views more  APPML 2007»
13 years 11 months ago
A distance bound for pseudospectra of matrix polynomials
In this note, we obtain a lower bound for the distance between the pseudospectrum of a matrix polynomial and a given point that lies out of it, generalizing a known result on pseu...
Panayiotis Psarrakos
APPML
2007
91views more  APPML 2007»
13 years 11 months ago
Steplength selection in interior-point methods for quadratic programming
We present a new strategy for choosing primal and dual steplengths in a primal-dual interior-point algorithm for convex quadratic programming. Current implementations often scale ...
Frank E. Curtis, Jorge Nocedal
APPML
2007
101views more  APPML 2007»
13 years 11 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay