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Asymptotics at infinity of solutions for p-Laplace equations in exterior domains
ArticleAbstract: Let 1 < p < N, and u be a nonnegative solution of - Δ<inf>p</inf> u = f (x, u) on R<sup>N</sup> {setPalabras claves:Asymptotics, Entire solution, Nonlinear elliptic equation, Nonlinear System, p-LaplaceAutores:Ándres I. Ávila, Brock F.Fuentes:scopusAn adaptive Galerkin method for the time-dependent complex Schrödinger equation
ArticleAbstract: Nonlinear time-dependent Schrödinger equations (NLSE) model several important problems in quantum phPalabras claves:Adaptive Galerkin method, Dual weighted residual method, Nonlinear time-dependent Schrödinger equationAutores:Ándres I. Ávila, Meister A., Steigemann M.Fuentes:scopusAn analytic approach to maximize entropy for computing equilibrium densities of k-mers on linear chains
ArticleAbstract: The irreversible adsorption of polyatomic (or k-mers) on linear chains is related to phenomena suchPalabras claves:Blocked states, Boltzmann-Gibbs-Shannon entropy, Equilibrium density, K-mer adsorption, Linear chainsAutores:Ándres I. Ávila, González-Flores M.I., Lebrecht W.Fuentes:scopusApplication of multi-scale modelling to some elastic, piezoelectric and electromagnetic composites
Conference ObjectAbstract: One way to obtain "new materials" is to mix classical ones with periodic heterogeneous microstructurPalabras claves:Band gaps, Bio-material, Elastic waves, Electromagnetic composites, homogenization, Piezoelectricity, Strong heterogeneticsAutores:Ándres I. Ávila, Bossavit A., Griso G., Labat B., Miara B., Ouchetto O., Rohan E., Zidi M., Zouhdi S.Fuentes:scopusA combination of cellular automata and agent-based models for simulating the root surface colonization by bacteria
ArticleAbstract: Models of root colonization by bacteria facilitate conceptual and practical understanding of fundamePalabras claves:Agriculture, Biofertilizer, phosphate solubilization, Plant growth-promoting rhizobacteria, Plant-bacteria interactions, RhizoplaneAutores:Ándres I. Ávila, Crowley D.E., Jorquera M.A., Mora M.L., Muci A.L., Rengel Z.Fuentes:scopusA comprehensive theory on generalized BBKS schemes
ArticleAbstract: In the past years several unconditionally positivity preserving numerical methods for production-desPalabras claves:Linear invariants, Mass conservation, Patankar-type schemes, Runge–Kutta methods, Unconditional positivityAutores:Ándres I. Ávila, Kopecz S., Meister A.Fuentes:scopusA data model for performance dynamics exploration
Conference ObjectAbstract: Scientific applications doing complex numerical simulations may run for very long times. PerformancePalabras claves:Performance Analysis, Wavelet AnalysisAutores:Ándres I. Ávila, Gerndt M., Oleynik Y.Fuentes:scopusA family of new globally convergent linearization schemes for solving Richards' equation
ArticleAbstract: The Richards' equation models the water flow through porous media in groundwater aquifers and petrolPalabras claves:Degenerate nonlinear equations, Globally convergent schemes, Linearization schemes, Richards' equationAutores:Ándres I. Ávila, Guillermo AlbujaFuentes:scopusA new fingerprint matching algorithm based on minimum cost function
Conference ObjectAbstract: We develop new minutia-based fingerprint algorithms minimizing a cost function of distances betweenPalabras claves:Autores:Ándres I. Ávila, Muci A.L.Fuentes:scopusA result on singularly perturbed elliptic problems
ArticleAbstract: We consider a class of equations of the form -ε2Δu + V(x)u = f(u), u ∈ H<sup>1</sup>(R<sup>N</sup>).Palabras claves:Singularly perturbed elliptic problems, Variational methodsAutores:Ándres I. Ávila, Jeanjean L.Fuentes:scopus