Cristina Chiralt

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

chiralt (at) uji.es

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Data

• ORCID ID: 0000-0003-0925-4034
• Scopus Author ID:16446265100
• ResearcherID:AAB-5127-2021
• Google Scholar Profile

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Research areas

• Celestial Mechanics
• Dynamical Systems
• Geometric Numerical Integration
• Exponential perturbative expansions for differential equations
• Magnus expansion

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Publications

• Articles in scientific journals

1. 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.
2. Arnal, A., Casas, F., Chiralt, C., Oteo, J.A., 2021. A unifying framework for perturbative exponential factorizations. Mathematics 9(6), 637.
3. Arnal, A., F. Casas, C. Chiralt. 2020. Exponential Perturbative Expansions and Coordinate Transformations, Mathematical and Computational Applications, 25(3), 50.
4. 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.
5. Arnal, A., F. Casas, C. Chiralt. 2017. A note on trigonometric identities involving non-commuting matrices, SeMA Journal. pp.1-10.
6. 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.
7. C. Chiralt, A. Ferragut, A. Gasull, P. Vindel, 2017.Quantitative analysis of competition models, Nonlinear Analysis: Real Word Applications. 38 pp. 327-347.
8. 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.
9. A. Arnal, C. Chiralt. 2014. Analytic approximations for linear differential equations with periodic or quasi-periodic coefficients, SEMA- SIMAI Springer Series, volume 4.
10. C. Casas, C. Chiralt. 2014. A Lie-Deprit algorithm for linear differential equations with periodic coefficients. Discrete and Continuous Dynamical Systems-Series A. 34, pp. 959-975.
11. C. Chiralt, B. Campos, P. Vindel. 2011. Bifurcations in the two imaginary centers problem, Mathematica Bohemica. 136, pp. 405-411.
12. C. Chiralt, L. Marco, J. Martínez-Alfaro. 2008. A multivalued approach to the planar isosceles three body problem, Set Valued Analysis. 16, pp. 443-459.
13. JM Alfaro, C. Chiralt. 1999. Keplerian periodic orbits in the isosceles problem, Celestial Mechanics and Dynamical Astronomy. 75, pp. 17-27.
14. JM Alfaro, C. Chiralt. 1999. Invariant rotational curves in Sitnikov's problem, Celestial Mechanics and Dynamical Astronomy. 55, pp. 351-367.

• Preprints

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

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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. SEMA. (España, 2021) .
3. Quantitative analysis of competition models. 22nd Conference on Applications of Computer Algebra. SEMA. (Kassel, 2016) .
4. Analytic Approximations for Linear Differential Equations with Periodic or Quasi-Periodic Coefficients. Advances in Differential Equations and Applications ( XXIII Congreso de Ecuaciones Diferenciales/ XIII Congreso de Matemática Aplicada). SEMA. (España, 2013) .
5. Bifurcations in the two imaginary centers problem. EQUADIFF 2009. (Brno, 2009) .

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