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Mostrando ítems 21-30 de 31
Artículo
Computational methods in algebra and analysis
(Sociedad Española de Matemática Aplicada, 2007-09)
This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the algebraic study of the systems of linear partial differential equations. Gröbner bases for rings ...
Artículo
Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation
(London Mathematical Society, 2018)
Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization ...
Artículo
How to calculate the slopes of a D-module
(Foundation Compositio Mathematica, 1996)
Artículo
A computational approach to the D-module of meromorphic functions
(2001)
Let D be a divisor in Cn. We present methods to compare the D-module of the meromorphic functions O[∗D] to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.
Artículo
Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
(American Mathematical Society, 2011)
We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine monomial curve. We also describe the irregularity complex of such a system with respect ...
Tesis Doctoral
Presentaciones de módulos teorema de estabilidad de Suslin en Z[X]
(1999)
La comparación de módulos finitamente generados sobre anillos de polinomios es un problema de gran dificultad no resuelto. Salvo el caso de los anillos de polinomios en una variable con coeficientes en un cuerpo, donde ...
Tesis Doctoral
Tesis Doctoral
Soluciones Gevrey de sistemas hipergeométricos
(2010)
Esta memoria versa sobre la irregularidad de los D-módulos hipergeométricos MA(β)(cf. Definición 3.1.3), introducidos p or Gelfand, Graev, Kapranov y Zelevinsky [GGZ87], [GZK89]. Nuestro estudio se basa principalmente en ...
Artículo
Gröbner δ-bases and Gröbner bases for differential operators
(Polish Academy of Sciences, Institute of Mathematics, 2002)
This paper deals with the notion of Gr¨obner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for ...
Capítulo de Libro
Computer algebra and algebraic analysis
(Universidad de La Rioja, 2010)
Este artículo describe algunas aplicaciones del Álgebra Computacional al Análisis Algebraico, también conocido como teoría de D-módulos, es decir, el estudio algebraico de sistemas lineales de ecuaciones en derivadas ...