Characterizing Strong Stability Preserving Additive Runge-Kutta Methods

被引：0
作者：
Inmaculada Higueras
机构：
[1] Universidad Pública de Navarra,Departamento de Ingeniería Matemática e Informática
来源：
Journal of Scientific Computing | 2009年 / 39卷
关键词：
Runge-Kutta; Additive Runge-Kutta; Strong stability preserving; SSP; Absolutely monotonic; Radius of absolute monotonicity; Nonnegative coefficients;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Space discretization of some time dependent partial differential equations give rise to ordinary differential equations containing additive terms with different stiffness properties. In these situations, additive Runge-Kutta (additive RK) methods are used.
引用
收藏
页码：115 / 128
页数：13
相关论文
共 43 条
  • [1] Ascher U.M.(1997)Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations Appl. Numer. Math. 25 151-167
  • [2] Ruuth S.J.(2007)Multirate timestepping methods for hyperbolic conservation laws J. Sci. Comput. 33 239-278
  • [3] Spiteri R.(2004)Stepsize restrictions for the total-variation-diminishing property in general Runge-Kutta methods SIAM J. Numer. Anal. 42 1073-1093
  • [4] Constantinescu E.M.(2008)Strong stability of singly-diagonally-implicit Runge-Kutta methods Appl. Numer. Math. 58 1675-1686
  • [5] Sandu A.(2001)A positive splitting method for mixed hyperbolic-parabolic systems Numer. Methods Partial Diff. Equ. 17 152-168
  • [6] Ferracina L.(2005)On high order strong stability-preserving Runge-Kutta and multi step time discretizations J. Sci. Comput. 25 105-128
  • [7] Spijker M.N.(1998)Total variation diminishing Runge-Kutta schemes Math. Comput. 67 73-85
  • [8] Ferracina L.(2001)Strong stability-preserving high order time discretization methods SIAM Rev. 43 89-112
  • [9] Spijker M.N.(2004)On strong stability preserving time discretization methods J. Sci. Comput. 21 193-223
  • [10] Gerisch A.(2005)Representations of Runge-Kutta methods and strong stability preserving methods SIAM J. Numer. Anal. 43 924-948
12345