Now showing items 1-5 of 5

    • 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 ...
    • 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 ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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