Observatorio de I+D+i UPM
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RESEARCHERS
RDI STRUCTURES
RESEARCH ACTIVITIES
INNOVATION
Investigador
Sonia Luisa Rueda Perez
Researcher Category
TITULAR UNIVERSIDAD
UPM Centre
E.T.S. DE ARQUITECTURA
Department:
MATEMÁTICA APLICADA (N)
Knowledge Area
MATEMATICA APLICADA
Research Group:
Modelos Matemáticos no Lineales
Email
sonialuisa.rueda
upm.es
Phone
910674944
Research Reports
Proyectos de I+D+i y generación de recursos
5 Proyectos de I+D+i
1: (2009)
Algoritmos simbólico numéricos para curvas y superficies.
2: (2009)
ANALISIS NUMERICO.
3: (2009)
Herramientas Algorítmicas y Combinatorias en Geometría Algebraica y Aplicaciones.
4: (2012)
ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES
5: (2012)
ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES
Formación de Investigadores y Movilidad
5 Estancias y sabáticos recogidos en programas oficiales
1: (2011)
Institute für Mathematik, Goethe Universität
2: (2012)
Estancia corta Universidad de Granada
3: (2012)
Estancia de investigación en la Academia China de Ciencias. Institute of Systems Science. Academy of Mathematics and System Sciences.
4: (2012)
Estancia de investigación Universidad de Granada
5: (2017)
Estancia corta en la Universidad de Oporto
Difusión de Resultados de Investigación
15 Artículos en revistas
1: (2008)
El reto de parametrizar curvas y superficies algebraicas de forma aproximada
2: (2010)
Approximate parametrization of plane algebraic curves by linear systems of curves
3: (2010)
Approximate parametrization of plane algebraic curves by linear systems of curves
4: (2010)
Linear complete differential resultants and the implicitization of linear DPPEs
5: (2011)
A perturbed differential resultant based implicitization algorithm for linear DPPEs
6: (2011)
Linear complete differential resultants and the implicitization of linear DPPEs (vol 45, pg 324, 2010)
7: (2012)
On the performance of the approximate parametrization algorithm for curves
8: (2013)
An algorithm to parametrize approximately space curves
9: (2013)
An algorithm to parametrize approximately space curves
10: (2013)
Linear sparse differential resultant formulas
11: (2013)
Linear sparse differential resultant formulas
12: (2014)
Bounding and estimating the Hausdorff distance between real space algebraic curves
13: (2014)
Bounding and estimating the Hausdorff distance between real space algebraic curves
14: (2014)
Rational Hausdorff divisors: A new approach to the approximate parametrization of curves
15: (2016)
Differential elimination by differential specialization of Sylvester style matrices
3 Capítulos de libros
1: (2009)
Parametrization of e-rational curves
2: (2011)
On the computation of differential resultants
3: (2012)
Differential resultants of super essential systems of linear OD-polynomials
8 Conferencias invitadas en congresos
1: (2009)
Algoritmos para la parametrización aproximada
2: (2009)
Investigación: su proceso en las Matemáticas y en otras disciplinas. Implicaciones
3: (2009)
Parametrization of E-Rational Curves
4: (2011)
Linear reparametrizations and differential resultants.
5: (2013)
Linear sparse differential elimination by differential resultant formulas
6: (2013)
Sparse differential resultant formulas: between the linear and the nonlinear case
7: (2014)
On commuting differential operators and differential subresultants
8: (2014)
On commuting differential operators and differential subresultants (work in progress)
16 Cursos, seminarios y tutoriales
1: (2008)
Polyhedral representations of invariant differential operators
2: (2009)
Implicitación de DPPEs lineales mediante resultantes diferenciales
3: (2009)
Implicitación de DPPEs lineales mediante resultantes diferenciales.
4: (2009)
Linear differential implicitization and differential resultants
5: (2010)
A linear differential implicitization algorithm by differential resultants
6: (2011)
Differential resultants, a differential elimination tool
7: (2011)
Métodos simbólicos para la implicitación diferencial.
8: (2012)
Differential Resultant Formulas for Linear Sparse Differential Polynomials.
9: (2012)
Differential Resultants and Implicitization
10: (2013)
Linear sparse differential elimination by differential resultant formulas.
11: (2014)
Computación Simbólica y Ecuaciones Diferenciales
12: (2014)
Sparse Resultant Formulas for Di fferential Polynomials
13: (2016)
On differential subresultants and the factorization of stationary Schrödinger operators
14: (2017)
On differential resultants, centralizers of Schrödinger operators and Picard-Vessiot fields
15: (2017)
Factorization of stationary Schrödinger operators over KdV spectral curves
16: (2017)
One-parameter form factorizations of KdV stationary Schrödinger operators
7 Otras Publicaciones
1: (2008)
A differential resultant-based method for differential implicitization
2: (2008)
Implicitization of DPPEs and Differential Resultants
3: (2008)
Parametrizing Approximately Algebraic A±ne Plane Curves
4: (2010)
Linear differentil implicitization and differential resultants
5: (2016)
Differential elimination by differential resultant formulas
6: (2017)
Closed form solutions for KdV Schrödinger operators under spectral curve coupling
7: (2018)
Algebro-geometric solitonic solutions and Differential Galois Theory
14 Ponencia en Congresos
1: (2009)
Parametrization of e-rational curves
2: (2010)
A characterization of the implicit equation of a system of linear DPPEs
3: (2011)
Implicitization of linear DPPEs by perturbed differential resultants
4: (2012)
Differential resultant formulas for linear od-polynomials.
5: (2012)
Differential resultant formulas for super Essentials Systems of linear od-polynomials.
6: (2013)
On the Approximate Parametrization Problem of Algebraic Curves
7: (2013)
On the approximate parametrization problem of algebraic curves
8: (2013)
On the approximate parametrization problem of algebraic curves
9: (2013)
Sparse differential resultant formulas: between the linear and the nonlinear case
10: (2014)
An approximate algorithm to parametrize algebraic curves
11: (2014)
An approximate algorithm to parametrize algebraic curves
12: (2014)
Differential elimination by differential specialization of Sylvester style matrices
13: (2015)
FOSTERING ENGLISH-TAUGHT HIGHER EDUCATION PROGRAMS IN A SPANISH UNIVERSITY: THE TECHENGLISH INNOVATIVE PROJECT
14: (2016)
A note on Burchnall-Chaundy polynomials and differential resultants
Explotación de Resultados y Transferencia de Tecnología
2 Patentes
1: (2009)
PARAM-APROX
2: (2010)
PARAM_APROX
4 Registros de Software
1: (2009)
DiffRes
2: (2009)
PARAM_APROX
3: (2010)
DiffRes
4: (2010)
PARAM_APROX
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