MATEMATIC - LibrosMATEMATIC - Libroshttp://hdl.handle.net/10017/41532024-03-29T11:51:38Z2024-03-29T11:51:38ZMétodos numéricos: una introducción a las matemáticas del cálculo científicoEscalante Fernández, René Gregoriohttp://hdl.handle.net/10017/599352024-01-26T01:16:24Z2022-11-25T00:00:00ZMétodos numéricos: una introducción a las matemáticas del cálculo científico
Escalante Fernández, René Gregorio
Pretende ésta ser una obra de carácter introductorio sobre el relevante tema de las matemáticas numéricas y el cálculo científico, el cual abarca áreas tales como el cálculo y el análisis numérico, la optimización matemática y muchas otras relacionadas, como son el modelaje matemático y las diferentes estrategias utilizadas en la resolución práctica de problemas que involucran, todas ellas, la fusión de las matemáticas formales que conocemos con el uso exhaustivo de las máquinas de cálculo científico modernas.
256 p.
2022-11-25T00:00:00ZUltraquadrics associated to affine and projective automorphimsRecio, TomásSendra Pons, Juan RafaelTabera, Luis FelipeVillarino Cabellos, Carloshttp://hdl.handle.net/10017/204552023-12-14T15:42:22Z2014-01-01T00:00:00ZUltraquadrics associated to affine and projective automorphims
Recio, Tomás; Sendra Pons, Juan Rafael; Tabera, Luis Felipe; Villarino Cabellos, Carlos
In this extended abstract, we study the properties of ultraquadrics associated with automorphisms of the field K(\alpha )(t1, . . . , tn), defined by linear rational (with common denominator)
or by polynomial (with polynomial inverse) coordinates. We conclude that ultraquadrics related to
polynomial automorphisms can be characterized as varieties K−isomorphic to linear varieties, while
ultraquadrics arising from projective automorphisms are isomorphic to the Segre embedding of a
blowup of the projective space along an ideal and, in some general case, linearly isomorphic to a toric
variety. This information helps us to compute a parametrization of some ultraquadrics.
J. R. Sendra and C. Villarino are members of the research group ASYNACS (Ref. CCEE2011/R34).
2014-01-01T00:00:00ZClassification of algebraic ODEs with respect to rational solvabilityChau Ngo, L. X.Winkler, FranzSendra Pons, Juan Rafaelhttp://hdl.handle.net/10017/204492023-12-14T15:42:22Z2012-01-01T00:00:00ZClassification of algebraic ODEs with respect to rational solvability
Chau Ngo, L. X.; Winkler, Franz; Sendra Pons, Juan Rafael
In this paper, we introduce a group of affine linear transformations
and consider its action on the set of parametrizable algebraic ODEs. In
this way the set of parametrizable ODEs is partitioned into classes with an invariant
associated system, and hence of equal complexity in terms of rational
solvability. We study some special parametrizable ODEs: some well-known
and obviously parametrizable classses of ODEs, and some classes of ODEs
with special geometric shapes, whose associated systems are characterized by
classical ODEs such as separable or homogeneous ones.
This is the author’s version of a work that was accepted for publication in
Computational Algebraic and Analytic Geometry, AMS series Contemporary
Mathematics.
Changes resulting from the publishing process, such as peer review,
editing, corrections,
structural formatting, and other quality control mechanisms may not be
reflected in this document.
Changes may have been made to this work since it was submitted for
publication. A definitive version was subsequently published
in Computational Algebraic and Analytic Geometry vol. 572 pp. 193-210,
AMS series Contemporary Mathematics DOI 10.1090/conm/572/11361
2012-01-01T00:00:00Z