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An 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: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: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