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scopus(25)
A 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 simple logistic model to understand the occurrence of flood events into the Biobío River Basin in central Chile
ArticleAbstract: We predict flood events by fitting two simple logistic regression models between mesoscale rainfallPalabras claves:Estimation, modelling, rainfall, Risk managementAutores:Abarca-del-Río R., Ándres I. Ávila, Fustos I., Orrego R.Fuentes:scopusA unified approach to symmetry for semilinear equations associated to the Laplacian in R<sup>N</sup>
ArticleAbstract: We show radial symmetry of positive solutions to the Hénon equation −Δu=|x|−ℓuq in RN∖{0}, where ℓ≥0Palabras claves:Entire solution, Maximum principle, Semi-linear elliptic equation, symmetryAutores: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:scopusExtension of modified Patankar–Runge–Kutta schemes to nonautonomous production–destruction systems based on Oliver's approach
ArticleAbstract: The mathematical modeling of various real life applications leads to systems of ordinary differentiaPalabras claves:Conservativity, Modified Patankar–Runge–Kutta methods, Oliver's approach, Positivity, Second orderAutores:Ándres I. Ávila, Galo Javier González, Kopecz S., Meister A.Fuentes:scopus