Now showing items 1-7 of 7

    • Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements 

      Higueras Sanz, Inmaculada Upna Orcid; Roldán Marrodán, Teodoro Upna Orcid (Springer US, 2016)   Artículo / Artikulua  OpenAccess
      Space discretization of some time-dependent partial differential equations gives rise to systems of ordinary differential equations in additive form whose terms have different stiffness properties. In these cases, implicit ...
    • Efficient SSP low-storage Runge-Kutta methods 

      Roldán Marrodán, Teodoro Upna Orcid; Higueras Sanz, Inmaculada Upna Orcid (2019)   Artículo / Artikulua  OpenAccess
      In this paper we study the efficiency of Strong Stability Preserving (SSP) Runge-Kutta methods that can be implemented with a low number of registers using their Shu-Osher representation. SSP methods have been studied ...
    • New third order low-storage SSP explicit Runge-Kutta methods 

      Higueras Sanz, Inmaculada Upna Orcid; Roldán Marrodán, Teodoro Upna Orcid (Springer, 2019)   Artículo / Artikulua  OpenAccess
      When a high dimension system of ordinary differential equations is solved numerically, the computer memory capacity may be exhausted. Thus, for such systems, it is important to incorporate low memory usage to some other ...
    • Optimal monotonicity-preserving perturbations of a given Runge–Kutta method 

      Higueras Sanz, Inmaculada Upna Orcid; Ketcheson, David I.; Kocsis, Tihamér A. (Springer, 2018)   Artículo / Artikulua  OpenAccess
      Perturbed Runge–Kutta methods (also referred to as downwind Runge–Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Runge–Kutta counterparts. In this paper we study ...
    • Optimized strong stability preserving IMEX Runge-Kutta methods 

      Higueras Sanz, Inmaculada Upna Orcid; Happenhofer, Natalie; Koch, Othmar; Kupka, Friedrich (2014)   Artículo / Artikulua  OpenAccess
      We construct and analyze robust strong stability preserving IMplicit-EXplicit Runge-Kutta (IMEX RK) methods for models of flow with diffusion as they appear in astrophysics and in many other fields where equations with ...
    • Order barrier for low-storage DIRK methods with positive weights 

      Higueras Sanz, Inmaculada Upna Orcid; Roldán Marrodán, Teodoro Upna Orcid (Springer, 2018)   Artículo / Artikulua  OpenAccess
      In this paper we study an order barrier for low-storage diagonally implicit Runge-Kutta (DIRK) methods with positive weights. The Butcher matrix for these schemes, that can be implemented with only two memory registers in ...
    • Strong stability preserving properties of composition Runge-Kutta schemes 

      Higueras Sanz, Inmaculada Upna Orcid; Roldán Marrodán, Teodoro Upna Orcid (Springer, 2019)   Artículo / Artikulua  OpenAccess
      In this paper Strong Stability Preserving (SSP) properties of Runge Kutta methods obtained by com- posing k different schemes with different step sizes are studied. The SSP coefficient of the composition method is obtained ...