On a Class of Uniformly Accurate IMEX Runge--Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
暂无分享,去创建一个
[1] G. Whitham. Linear and non linear waves , 1974 .
[2] Giovanni Russo,et al. On the uniform accuracy of IMEX Runge-Kutta schemes and applications to hyperbolic systems with relaxation , 2007 .
[3] M. Carpenter,et al. Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations , 2003 .
[4] E. Hairer,et al. Stiff and differential-algebraic problems , 1991 .
[5] G. Russo,et al. Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations , 2000 .
[6] Giovanni Russo,et al. Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation , 1997 .
[7] Steven J. Ruuth,et al. Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations , 1997 .
[8] Sebastiano Boscarino,et al. On an accurate third order implicit-explicit Runge--Kutta method for stiff problems , 2009 .
[9] Chi-Wang Shu. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .
[10] SEBASTIANO BOSCARINO. Error Analysis of IMEX Runge-Kutta Methods Derived from Differential-Algebraic Systems , 2007, SIAM J. Numer. Anal..
[11] Lorenzo Pareschi,et al. Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation , 2010, 1009.2757.
[12] Shi Jin. Runge-Kutta Methods for Hyperbolic Conservation Laws with Stiff Relaxation Terms , 1995 .
[13] C. D. Levermore,et al. Hyperbolic conservation laws with stiff relaxation terms and entropy , 1994 .
[14] G. Russo,et al. High Order Asymptotically Strong-Stability-Preserving Methods for Hyperbolic Systems with Stiff Relaxation , 2003 .
[15] Vittorio Romano,et al. Central Schemes for Balance Laws of Relaxation Type , 2000, SIAM J. Numer. Anal..
[16] G. Russo,et al. Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation , 2005 .
[17] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[18] Tai-Ping Liu. Hyperbolic conservation laws with relaxation , 1987 .
[19] E. Hairer,et al. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .
[20] Inmaculada Higueras,et al. Contractivity/monotonicity for additive Runge-Kutta methods: inner product norms , 2006 .