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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 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: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:scopusGlobal superlinear linearization schemes based on adaptive strategies for solving Richards’ equation
ArticleAbstract: The Richards’ equation is a nonlinear degenerate parabolic differential equation, whose numerical soPalabras claves:Adaptive linearization schemes, Degenerate nonlinear equations, Global convergence, Richards equation, Superlinear schemesAutores:Ándres I. Ávila, Guillermo Albuja, Miguel MurilloFuentes: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