Anna Arnal

Lecturer in Applied Mathematics
Institut de Matemàtiques i Aplicacions de Castelló (IMAC)
Departament de Matemàtiques
Universitat Jaume I
12071-Castellón
Spain

ana.arnal (at) uji.es

---

Data

• ORCID ID: 0000-0002-3283-3379
• Scopus Author ID:22733687400
• ResearcherID:M-8104-2014
• Google Scholar Profile

---

Research areas

• Methods for Bézier's curves and surfaces
• Geometric Numerical Integration
• Exponential perturbative expansions for differential equations
• Magnus expansion

---

Publications

• Articles in scientific journals

1. A. Arnal, J. Monterde. 2023. Bézier surfaces with prescribed diagonals. Journal of Computational and Applied Mathematics 424
   
2. A. Arnal, F. Casas, C. Chiralt. A note on the Baker-Campbell-Hausdorff series in therms of right-nested commutators, Mediterranean Journal of Mathematics 18 (2021), 53.
3. Arnal, A., Casas, F., Chiralt, C., Oteo, J.A., 2021. A unifying framework for perturbative exponential factorizations,  Mathematics 9(6), 637.
4. Arnal, A., Casas, F., Chiralt, C., 2020, Exponential Perturbative Expansions and Coordinate Transformations, Math. Comput. Appl. 2020, 25(3), 50.
5. Arnal, A., Epifanio, I., Gregori, P., Martínez, V. Ten Simple Rules for organizing a non-realtime web, PLoS Computational Biology, 2020, 16(3)
6. Arnal, A., F. Casas, C. Chiralt. 2018. A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators, Journal of Physics Communications. IOP Publishing Ltd. 2.
7. Arnal, A., F. Casas, C. Chiralt. 2017. A note on trigonometric identities involving non-commuting matrices, SeMA Journal. pp.1-10.
8. Arnal, A., J. Monterde. 2017. Explicit Bézier control net of a PDE surface, Computers & Mathematics with Applications. Elsevier. 73-3, pp.483-493.
9. Arnal, A., F. Casas, C. Chiralt. 2017. On the structure and convergence of the symmetric Zassenhaus formula, Computer Physics Communications. Elsevier. 217, pp.58-65.
10. Arnal, A., F. Casas, C. Chiralt. 2016. A perturbative algorithm for quasi-periodic linear systems close to constant coefficients, Applied Mathematics and Computation. 273, pp.398-409.
11. Arnal, A., F. Casas. 2014. Exponential polar factorization of the fundamental matrix of linear differential systems, Journal of Computational and Applied Mathematics. (268), pp.168-178.
12. Arnal, A., J. Monterde. 2014. Generating harmonic surfaces for interactive design, Computers & Mathematics with Applications. 10 (67), pp.1914-1924.
13. Arnal, A., J. Monterde. 2011. A third order partial differential equation for isotropic boundary based triangular Bézier surface generation, Journal of Computational and Applied Mathematics. 2 (236), pp.184-195.
14. Arnal, A., J. Monterde, H. Ugail. 2011. Explicit polynomial solutions of fourth order linear elliptic Partial Differential Equations for boundary based smooth surface generation, Computer Aided Geometric Design. 6 (28), pp.382-394.
15. Arnal, A. Lluch, J. Monterde. 2011. PDE Triangular Bezier surfaces: harmonic, biharmonic and isotropic surfaces, Journal of Computational and Applied Mathematics. 5 (235), pp.1098-1113.
16. Arnal, A. Lluch, J. Monterde. 2008. Triangular Bézier approximations to constant mean curvature surfaces, Lecture Notes in Computer Science. Springer Berlin / Heidelberg. 5102 LNCS-PART 2, pp.96-105.
17. Arnal, A. Lluch, J. Monterde. 2003. Triangular Bézier Surfaces of Minimal Area, Lecture Notes in Computer Science. Springer Berlin / Heidelberg. 2669, pp.366-375.
18. Arnal, A. Lluch, J. Monterde. 2002. A property on Singularities of NURBS Curves, Lecture Notes in Computer Science Springer Berlin / Heidelberg. 2330, pp.229-238.

• Preprints

1. A. Arnal, F. Casas, C. Chiralt. Magnus integrators for linear and quasilinear delay differential equations.

---

---

Seminars, conferences and presentations

1. Magnus integrators for linear and quasilinear delay differential equations. Scicade 2022, International Conference on Scientific Computation and Differential Equations (Reykjavik, Iceland, July 2022).
2. Exponential perturbative expansions and coordinate transformations. XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones/ XVI Congreso de Matemática Aplicada (XXVI CEDYA / XVI CMA ) . Sema Sociedad Española de Matematica Aplicada. (España. 2021).
3. On the structure and convergence of the symmetric Zassenhaus formula. 1st Workshop on Dynamical Systems in the Real Life. (2016. España). Poster.
4. A new procedure to compute analytic polar decompositions. XXIII Congreso de Ecuaciones Diferenciales y Aplicaciones/ XIII Congreso de Matemática Aplicada (XXIII CEDYA/XIII CMA). (2013. España).
5.  Construcción algorítmica de la transformación de Lyapunov en sistemas lineales periódicos. XXIII Congreso de Ecuaciones Diferenciales y Aplicaciones/XIII Congreso de Matemática Aplicada (XXIII CEDYA/XIII CMA). (2013. España).

---