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Artículo
An improved test set approach to nonlinear integer problems with applications to engineering design
(Proquest, 2015-03-14)
Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test sets have been proposed to solve some particular problems with integer variables, but they have not ...
Artículo
Explicit calculations in rings of differential operators
(Société Mathématique de France, 2004)
We use the notion of a standard basis to study algebras of linear differential operators and finite type modules over these algebras. We consider the polynomial and the holomorphic cases as well as the formal case. Our ...
Artículo
An improved test set approach to nonlinear integer problems with applications to engineering design
(Springer, 2015-11)
Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test sets have been proposed to solve some particular problems with integer variables, but they have not ...
Artículo
The computation of the logarithmic cohomology for plane curves
(Elsevier, 2009-12-01)
We will give algorithms of computing bases of logarithmic cohomology groups for square-free polynomials in two variables.
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 ...