• openAccess   A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators 

      Arnal, A.; Casas, Fernando; Chiralt, Cristina IOP (2018-03)
      We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients. The relation with the Malvenuto–Reutenauer ...
    • openAccess   A Lie-Deprit perturbation algorithm for linear differential equations with periodic coefficients 

      Casas, Fernando; Chiralt, Cristina American Institute of Mathematical Sciences (AIMS) (2014-03)
      A perturbative procedure based on the Lie-Deprit algorithm of classical mechanics is proposed to compute analytic approximations to the fundamental matrix of linear di erential equations with periodic coe cients. These ...
    • openAccess   A note on the Baker–Campbell–Hausdorff series in terms of right-nested commutators 

      Arnal, A.; Casas, Fernando; Chiralt, Cristina Springer (2021-01-27)
      We get compact expressions for the Baker–Campbell–Hausdorff series Z = log(eX eY ) in terms of right-nested commutators. The reduction in the number of terms originates from two facts: (i) we use as a starting point an ...
    • openAccess   A note on trigonometric identities involving non-commuting matrices 

      Arnal, A.; Casas, Fernando; Chiralt, Cristina Springer Milan (2017)
      An algorithm is presented for generating successive approximations to trigonometric functions of sums of non-commuting matrices. The resulting expressions involve nested commutators of the respective matrices. The procedure ...
    • openAccess   A Unifying Framework for Perturbative Exponential Factorizations 

      Arnal, A.; Casas, Fernando; Chiralt, Cristina; Oteo, José-Angel MDPI (2021-03-17)
      We propose a framework where Fer and Wilcox expansions for the solution of differential equations are derived from two particular choices for the initial transformation that seeds the product expansion. In this scheme, ...
    • openAccess   Bifurcations in the two imaginary centers problem 

      Chiralt, Cristina; Campos, Beatriz; Vindel, Pura Institute of Mathematics of the Academy of Sciences of the Czech Republic (2011)
      In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology ...
    • openAccess   Cálculo II. Grados en ingeniería eléctrica, ingeniería mecánica, ingeniería química e ingeniería en tecnologías industriales 

      Chiralt, Cristina; Miralles Montolío, Alejandro Publicacions de la Universitat Jaume I (2019)
      A lo largo del libro estudiaremos los métodos habituales de resolución de ecuaciones diferenciales y complementaremos este contenido mostrando diversas aplicaciones que estos métodos tienen en fenómenos reales de la física ...
    • openAccess   Cálculo integral 

      Campos, Beatriz; Chiralt, Cristina Universitat Jaume I (2011)
    • openAccess   Ecuaciones diferenciales 

      Campos, Beatriz; Chiralt, Cristina Universitat Jaume I (2011)
    • openAccess   Exponential Perturbative Expansions and Coordinate Transformations 

      Arnal, A.; Casas, Fernando; Chiralt, Cristina MDPI (2020)
      We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, the Floquet–Magnus expansion for periodic ...
    • closedAccess   Improvement in the area of statistics 

      Chiralt, Cristina; Picazo González, Juan José IATED (2023)
      The subject ”Statistics 1011” is part of the second year of the degrees in Business Administration, Economics and Finance and Accounting that is taught at the Faculty of Legal and Social Sciences at the Jaume I University ...
    • openAccess   Magnus integrators for linear and quasilinear delay differential equations 

      Arnal, A.; Casas, Fernando; Chiralt, Cristina Elsevier (2023-04-29)
      A procedure to numerically integrate non-autonomous linear delay differential equations is presented. It is based on the use of a spectral discretization of the delayed part to transform the original problem into a matrix ...
    • closedAccess   On the structure and convergence of the symmetric Zassenhaus formula 

      Arnal, A.; Casas, Fernando; Chiralt, Cristina Elsevier (2017-08)
      We propose and analyze a symmetric version of the Zassenhaus formula for disentangling the exponential of two non-commuting operators. A recursive procedure for generating the expansion up to any order is presented which ...
    • openAccess   Puesta en marcha de plan de actuación en respuesta a prescripciones eur- ace® para la formación y evaluación de competencias transversales en las ingenierías del ámbito industrial de la Universitat Jaume I 

      Alfonso, j. Carlos; Balaguer, Pedro; Beltrán Porcar, Vicente; Bovea, María D; Chiralt, Cristina; Colomer Mendoza, Francisco José; Gozalbo Nebot, Ana; Hernandez, Leonor; Ibáñez Usach, Carmen; Iserte, Sergio; Juliá Bolívar, José Enrique; Llopis, Rodrigo; Martí Forés, Sergio; Martínez-León, Lluís; Martínez-Rodrigo, María D.; Orts Tarí, María José; Piquer, Ana; Recatalá Ballester, Gabriel; Romero Pérez, Julio Ariel; Sánchez García-Vacas, Daniel; Sanchez-Marin, Francisco; Sánchez-Vilches, Enrique; Mondragon, Rosa Publicacions de la Universitat Jaume I (2017-11-09)
      Los grados en ingenierías del ámbito industrial de la Universitat Jaume I (Grado en Ingeniería en Tecnologías Industriales, Ingeniería Mecánica, Ingeniería Eléctrica e Ingeniería Química) han participado recientemente ...
    • openAccess   Quantitative analysis of competition models 

      Chiralt, Cristina; Ferragut, Antoni; Gasull, Armengol; Vindel, Pura Elsevier (2017)
      We study a 2-species Lotka–Volterra type differential system, modeling competition between two species and having a coexistence equilibrium in the first quadrant. In case that this equilibrium is of saddle type, its ...