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Description

• Brief Description
• Subprojects

Team of Researchers

• Subproject MTM2011-25816-C02-01
• Subproject MTM2011-25816-C02-02

EPOS (Entes Promotores Observadores)

• EPOS

Results and Activities

• Publications
• Participation at Conferences
• Participation in the Organization of Conferences and Workshops
• Coordination Meetings and Internal Working Meetings
• Research Stays (that have not included in the section of coordination and internal working meetings)
• External Researchers Visits

Project MTM2011-25816-C02-00
Publications
Published Papers
(Last update: December 2014)

List of published papers generated as a result of the research activity developed in the frame of the project.

1. Abánades M. A., Botana F. (2013), "A Dynamic Symbolic Geometry Environment Based on the GroebnerCover Algorithm for the Computation of Geometric Loci and Envelopes". J. Carette et al. (Eds.): CICM 2013, LNAI 7961, pp. 349-353. Springer, Heidelberg (2013).
2. Abánades M.A., Botana F., Escribano J. (2014). "Automated Generation of Equations for Linkage Loci in a Game Physics System", Technology, Knowledge and Learning, 19(3) (2014) 317-326. DOI: 10.1007/s10758-014-9215-7.
3. Abánades M.A., Botana F., Montes A., Recio T. (2014). "An algebraic taxonomy for locus computation in dynamic geometry", Computer-Aided Geometry, 56 (2014) 22-33.
4. Abánades, M.A., Botana, F., Montes, A., Recio, T.: Software using the Gröbner Cover for geometrical loci computation and classification. H. Hong and C. Yap (Eds.): Lecture Notes in Computer Science, 8592 (2014). Proceedings of the IV International Conference on Mathematical Software (IV ICMS, Seoul), pp. 492-499. Springer, Heidelberg (2014).
5. Adamou, I., Fioravanti, M., Gonzalez-Vega, L. (2014). "Parametrization of the Bisector of Two Low Degree Surfaces", Future Vision and Trends on Shapes, Geometry and Algebra, R. De Amicis and G. Conti (eds.) Springer, pp. 73 - 94. ISBN: 978-1-4471-6460-9 (Print) 978-1-4471-6461-6 (Online), DOI: 10.1007/978-1-4471-6461-6_5
6. Adamou, I., Fioravanti, M., Gonzalez-Vega, L., Mourrain, B. (2014) . "Bisectors and Voronoï Diagram of a Family of Parallel Half-Lines", SAGA - Advances in ShApes, Geometry, and Algebra, Dokken, T., Muntingh, G. (Eds.), Geometry and Computing Vol. 10, Springer, pp. 241 - 279. ISBN: 978-3-319-08634-7 (Print) 978-3-319-08635-4 (Online)
7. Alcázar J.G. (2012). "Computing the Shapes Arising in a Family of Space Rational Curves Depending on a Parameter", Computer Aided Geometric Design, vol. 29, issue 6, pp. 315-331.
8. Alcázar J.G. (2012). "Local Shape of Generalized Offsets to Algebraic Curves",Journal of Symbolic Computation, vol. 47 (3), pp. 327-341
9. Alcázar J.G. (2013), "Topology of Families of Algebraic Curves Continuously Depending on a Parameter, and Applications." International Journal of Algebra and Computation International Journal of Algebra and Computation, Vol. 23, No. 7, pp- 1591-1610.
10. Alcázar, J. G. (2014), "Efficient Detection of Symmetries of Polynomially Parametrized Curves", Journal of Computational and Applied Mathematics, vol. 255, pp. 715-724.
11. Alcázar J.G., Diaz-Toca G.M.(2012). "On the Shape of Curves Rational in Polar Coordinates", Computer Aided Geometric Design, vol. 29, pp. 665-675.
    See also: Alcázar J.G., Diaz-Toca G.M.(2012). " On the Shape of Curves which are Rational in Polar Coordinates ", Libro de Resúmenes del XIII Encuentro de Álgebra Computacional y Aplicaciones EACA 2012, Obras Colectivas, Ciencias 09, Servicio de Publicaciones de la Universidad de Alcalá, pp. 35-38 (I.S.B.N.:978-84-8138-770-4.)
    
12. Alcázar J.G., Hermoso C., Muntingh G. (2014), "Detecting Symmetries of Rational Plane and Space Curves". Computer Aided Geometric Design, Vol. 31, Issues 3-4, March-May 2014, pp. 199-209.
13. Alcázar J.G., Hermoso C., Muntingh G. (2014), "Detecting similarity of rational plane curves". Journal of Computational and Applied Mathematics, Vol. 269, pp. 1-13.
14. Alcázar J.G., Hermoso C., Muntingh G. (2015). "Symmetry detection of rational space curves from their curvature and torsion", Computer Aided Geometric Design (accepted).
15. Andradas C., Recio T., Sendra J.R., Tabera L.F., Villarino C. (2014). "Reparametrizing Swung Surfaces over the Reals". Applicable Algebra in Engineering, Communication and Computing (2014) 25:39-65. DOI: 10.1007/s00200-014-0215-6
16. Botana F. (2013). "Computing bisectors in a dynamic geometry environment", International Journal of Mathematical Education in Science and Technology, vol. 44, issue 2, pp. 299-310. DOI:10.1080/0020739X.2012.690900
.
17. Botana F. (2014). "A parametric approach to 3D dynamic geometry." Mathematics and Computers in Simulation 104, pp. 3-20. DOI: 10.1016/j.matcom.2012.12.004
18. Botana F., Abanades M.A. (2014). "Automatic Deduction in (Dynamic) Geometry: Loci Computation", Computational Geometry: Theory and Applications, vol. 47, issue 1, pp. 75-89.
19. Botana F., Abánades M.A., Escribano J. (2012). "Using a Free Open Source Software to Teach Mathematics", accepted in Computer Applications in Engineering Education, DOI:10.1002/cae.21565.
20. Botana, F, Kovacs, Z. (2014). "A Singular web service for geometric computations", Annals of Mathematics and Artificial Intelligence, DOI: 10.1007/s10472-014-9438-2.
21. Botana F., Recio T. (2014), "Some issues on the automatic computation of plane envelopes in interactive environments", Mathematics and Computers in Simulation, to appear. DOI: 10.1016/j.matcom.2014.05.011.
22. Botana, F.; Recio, T.: Using Maple's RegularChains library to automatically classify plane geometric loci. H. Hong and C. Yap (Eds.): Lecture Notes in Computer Science, 8592 (2014). Proceedings of the IV International Conference on Mathematical Software (IV ICMS, Seoul), pp. 500-503. Springer, Heidelberg (2014).
23. Botana F., Recio T. (2013). "A propósito de la envolvente de una familia de elipses". Número Especial en Memoria Prof. J.J. Etayo Miqueo. Boletín de la Sociedad Puig Adam, no. 95, october 2013, pp 15-30.
24. Caravantes, J., Fioravanti, M., Gonzalez-Vega, L., Necula, I. (2014). "Computing the Topology of an Arrangement of Implicit and Parametric Curves Given by Values", Computer Algebra in Scientific Computing, Gerdt, P., Koepf, W., Seiler, W.M., Vorozhtsov, E.V. (eds.), LNCS 8660, CASC 2014 Proceedings, Springer, pp. 59 - 73. ISSN 0302-9743, e-ISSN 1611-3349, ISBN 978-3-319-10514-7, e-ISBN 978-3-319-10515-4, DOI 10.1007/978-3-319-10515-4.
25. Caravantes J., Perrin N. (2014). "Formal properties in small codimension", Collectanea Mathematica, 65 (2) (2014) 251-256.
26. Caravantes J., Gomez-Molleda M. A., Gonzalez-Vega L. (2014). "A canonical form for the continuous piecewise polynomial functions", Journal of Computational and Applied Mathematics (accepted)
27. Corless R., Diaz-Toca G.M., Fioravanti M., Gonzalez-Vega L., Rua I.F., Shakoori A. (2013). "Computing the topology of a real algebraic plane curve whose defining equations are only available "by values"." Computer Aided Geometric Design Volume 30, Issue 7, Pages 675-706.
28. Díaz-Toca G.M., Lombardi H., Quitté C. (2014). "Modules sur les anneaux commutatifs" (book). Ed. Calvage et Mounet. ISBN : 978-2-916352-33-6. To appear in March 2014.
29. Diaz-Toca G.M., Fioravanti M., Gonzalez-Vega L., Shakoori A. (2013). "Using implicit equations of parametric curves and surfaces without computing them: polynomial algebra by values". Computer Aided Geometric Design Volume 30, Issue 1, January 2013, Pages 116-139.
30. Diaz-Toca G. M., Necula I. (2014). "Direct symbolic transformation from 3D cartesian into hyperboloidal coordinates". Applied Mathematics and Computation 228C (2014), pp. 349-365 DOI information: 10.1016/j.amc.2013.11.099
31. Dickenstein A., Tabera L.F. (2012). "Singular tropical hypersurfaces" Discrete & Computational Geometry. Volume 47, Number 2 (2012), 430-453
32. M. Fioravanti, J.R. Sendra. "Algebro-geometric analysis of bisectors of two algebraic plane curves". Computer Aided Geometric Design (to appear)
33. Grasegger G., Lastra A., Sendra J.R. and Winkler F. (2016). A solution method for autonomous First-order algebraic partial differential equations. Journal of Computational and Applied Mathematics 300 (2016) 119--133. doi:10.1016/j.cam.2015.12.030.
34. Grasegger G., Lastra A., Sendra J.R. and Winkler F. (2014). On symbolic solutions of algebraic partial differential equations, Proc. CASC 2014 Springer Verlag LNCS 8660 pp. 111-120. DOI 10.1007/978-3-319-10515-4_9
35. Grasegger G., Winkler F. (2014). "Symbolic solutions of first-order algebraic ODEs", Proc. RICAM Workshop, Springer LNCS, J.Schicho, M.Weimann, J.Gutierrez (eds) (en prensa)
36. Gruber D., Peternell M. (2013). "Conchoid surfaces of quadrics". Journal of Symbolic Computation 59, 36-53, 2013.
37. A. Lastra, J. R. Sendra, L. X. C. Ngô and F. Winkler (2014). Rational General Solutions of Systems of Autonomous Ordinary Differential Equations of Algebro-Geometric Dimension One. Publ. Math. Debrecen 2015 / 86 / 1-2 49-69. DOI: 10.5486/PMD.2015.6032
38. Montes A., Recio T. (2013). "Generalizing the Steiner-Lehmus Theorem using the Gröbner Cover." Mathematics and Computers in Simulation Vol. 104, Oct. 2014, pp. 67-81. DOI: 10.1016/j.matcom.2013.06.006
39. Ngô L.X.C., Sendra J.R., Winkler F. (2015). "Birational Transformations Preserving Rational Solutions of Algebraic Ordinary Differential Equations". Journal of Computational and Applied Mathematics (2015), pp. 114-127. DOI 10.1016/j.cam.2015.03.007.
40. Ngô L.X.C., Sendra J.R., Winkler F. (2012). "Classification of algebraic ODEs with respect to rational solvability" Computational Algebraic and Analytic Geometry vol. 572 pp. 193-210, AMS series Contemporary Mathematics (2012)
41. Pérez-Díaz S. Sendra J.R. (2013). "Behavior of the Fiber and the Base Points of Parametrizations under Projections". Mathematics in Computer Science Volume 7, Issue 2 (2013), Page 167-184
42. Pérez S., Sendra J.R., Villarino C. (2013). "Computing the Singularities of Rational Surfaces". Mathematics of Computation 84 (2015), 1991-2021.
43. Peternell M., Gotthart L., Sendra J., Sendra J.R. (2014). "Offsets, Conchoids and Pedal Surfaces". Journal of Geometry Volume 106, Issue 2 (2015), Page 321-339. DOI 10.1007/s00022-014-0251-1
44. Peternell M., Gruber D., Sendra J. (2013). "Conchoid surfaces of spheres", Computer Aided Geometric Design, volume 30, issue 1, pp. 35-44.
45. Recio T., Sendra J.R., Tabera L.F., Villarino C. (2014). "On Tubular vs. Swung". Journal of Symbolic Computation (accepted).DOI 10.1016/j.jsc.2014.12.003
46. Recio T., Sendra J.R., Tabera L.F., Villarino C. (2014). "Ultraquadrics associated to affine and projective automorphisms". Applicable Algebra in Engineering, Communication and Computinng (2014) 25:431-445 DOI 10.1007/s00200-014-0236-1.
47. Recio T., Sendra J.R., Tabera L.F., Villarino C. (2013). "Factoring analytic multivariate polynomials and non-standard Cauchy-Riemann conditions." Mathematics and Computers in Simulation 104 (2014) 43-57. DOI: 10.1016/j.matcom.2013.03.013
48. Rueda, S. L., Linear sparse differential resultant formulas. Linear Algebra and Its Applications 438 (2013), 4296 - 4321.
49. Rueda, S.L. Differential elimination by differential specialization of Sylvester style matrices. Advances in Applied Mathematics 72 (2016), 4-37.
50. Rueda S.L., Sendra J., Sendra J.R., (2014). "Rational Hausdorff Divisors: a New approach to the Approximate Parametrization of Curves". Journal of Computational and Applied Mathematics 263 (2014), pp. 445-465.
    DOI: 10.1016/j.cam.2013.12.052
51. Rueda S.L., Sendra J., Sendra J.R., (2014). "Bounding and Estimating the Hausdorff distance between real space algebraic curves ". Computer Aided Geometric Design. vol 31 (2014) 182-198; DOI 10.1016/j.cagd.2014.02.005
52. Rueda S.L., Sendra J., Sendra J.R. (2013) "An Algorithm to Parametrize Approximately Space Curves". Journal of Symbolic Computation vol. 56 pp. 80-106 (2013)
53. Sendra J., Gómez D., Morán V. (2014). "Rational Conchoid and Offset Constructions: Algorithms and Implementation". Proc. AISC 2014, LNAI 8884 pp. 168-179, Springer Verlag. ISBN 978-3-319-13769-8. DOI 10.1007/978-3-319-13770-4.
54. Sendra J., Sendra J.R. (2015). "Gröbner Basis Computation of Drazin Inverses with Multivariate Rational Function Entries". Applied Mathematics and Computation 259 (2015) pp. 450-459. DOI 10.1016/j.amc.2015.02.070
55. Sendra J.R., Sevilla D. (2013). "First Steps Towards Radical Parametrization of Algebraic Surfaces". Computer Aided Geometric Design Volume 30, Issue 4, pp. 374-388 (2013).
56. Sendra J.R., Sevilla D., Villarino C. (2015). " Missing sets in rational parametrizations of surfaces of revolution". Computer-Aided Design 66 (2015) 55-61. DOI 10.1016/j.cad.2015.04.006
57. Sendra J.R., Sevilla D., Villarino C. (2015). "Some results on the surjectivity of surface parametrizations". Springer LNCS 8942, pp. 192-203 (2015), J.Schicho, M.Weimann, J.Gutierrez (eds), DOI:10.1007/978-3-319-15081-9_11
58. Sendra J.R., Sevilla D., Villarino C. (2014). "Covering of surfaces parametrized without projective base points" Proc. ISSAC2014 ACM Press, pages 375-380, 2014, ISBN:978-1-4503-2501-1, DOI: 10.1145/2608628.2608635.
59. Sendra J.R., Sevilla D., Villarino C. "Covering Rational Ruled Surfaces". Mathematics of Computation (to appear)
60. Sendra J.R., Winkler Stephan (2015). "Optimization of Coefficients of Lists of Polynomials by Evolutionary Algorithms". Annales Mathematicae et Informaticae 44 (2015) pp. 177-185.
61. Tabera L.F. (2013). "Computing hypercircles by moving hyperplanes". Journal of Symbolic Computation Volume 50, March 2013, Pages 450-464.
62. Tabera. L.F. (2014). "On real tropical bases and real tropical discriminants". Collectanea Mathematica (Accepted), doi:10.1007/s13348-014-0119-6.
63. Tabera L.T. "A parametric version of the Hilber-Hurwitz theorem using hypercircles". To appear in Mathematics of Computation
64. Winkler F. (2013). "Algebraic differential equations -- Rational solutions and beyond", South East Asian Bulletin of Mathematics (SEAMS Bull. Math.) (2014) 38: 153-162.