An improved approximate Newton method for implicit Runge-Kutta formulas
暂无分享,去创建一个
[1] Laurent O. Jay,et al. Inexact Simplified Newton Iterations for Implicit Runge-Kutta Methods , 2000, SIAM J. Numer. Anal..
[2] L. M. Skvortsov. An efficient scheme for the implementation of implicit Runge-Kutta methods , 2008 .
[3] Kjell Gustafsson,et al. Control Strategies for the Iterative Solution of Nonlinear Equations in ODE Solvers , 1997, SIAM J. Sci. Comput..
[4] E. Hairer,et al. Stiff differential equations solved by Radau methods , 1999 .
[5] John C. Butcher,et al. On the implementation of implicit Runge-Kutta methods , 1976 .
[6] R. Alexander. Diagonally implicit runge-kutta methods for stiff odes , 1977 .
[7] Juan I. Montijano,et al. Implementation of high-order implicit runge-kutta methods , 2001 .
[8] Juan I. Montijano,et al. Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems , 2002 .
[9] Ralph A. Willoughby,et al. EFFICIENT INTEGRATION METHODS FOR STIFF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS , 1970 .
[10] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .
[11] M. N. Spijker,et al. The error committed by stopping the Newton iteration in the numerical solution of stiff initial value problems , 1994 .
[12] Hans Olsson,et al. Stage Value Predictors and Efficient Newton Iterations in Implicit Runge-Kutta Methods , 1998, SIAM J. Sci. Comput..
[13] S. González-Pinto,et al. Speeding up Netwton-type iterations for stiff problems , 2005 .
[14] J. Butcher. Implicit Runge-Kutta processes , 1964 .
[15] Theodore A. Bickart,et al. An Efficient Solution Process for Implicit Runge–Kutta Methods , 1977 .
[16] C. Kelley. Iterative Methods for Linear and Nonlinear Equations , 1987 .
[17] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[18] L. Shampine. Implementation of Implicit Formulas for the Solution of ODEs , 1980 .