Browsing by UPNA Author "Higueras Sanz, Inmaculada"
Now showing items 1-7 of 7
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Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements
Higueras Sanz, Inmaculada
; Roldán Marrodán, Teodoro (Springer US, 2016)
Artículo / Artikulua 
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 ; Higueras Sanz, Inmaculada (2019)
Artículo / Artikulua
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 ; Roldán Marrodán, Teodoro (Springer, 2019)
Artículo / Artikulua
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 ; Ketcheson, David I.; Kocsis, Tihamér A. (Springer, 2018)
Artículo / Artikulua
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 ; Happenhofer, Natalie; Koch, Othmar; Kupka, Friedrich (2014)
Artículo / Artikulua
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 ; Roldán Marrodán, Teodoro (Springer, 2018)
Artículo / Artikulua
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 ; Roldán Marrodán, Teodoro (Springer, 2019)
Artículo / Artikulua
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 ...
