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A 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: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:scopusOn numerical methods for nonlinear singularly perturbed Schrödinger problems
ArticleAbstract: Nonlinear Schrödinger equations (NSE) model several important problems in Quantum Physics and MorphoPalabras claves:Dual weighted residual method, Patankar trick, Singularly perturbed Schrödinger problemsAutores:Ándres I. Ávila, Meister A., Steigemann M.Fuentes:scopus