Stability analysis of exponential Runge–Kutta methods for delay differential equations

Applied Mathematics Letters - Tập 24 - Trang 1089-1092 - 2011
Y. Xu1, J.J. Zhao1, Z.N. Sui1
1Department of Mathematics, Harbin Institute of Technology, 150001 Harbin, China

Tài liệu tham khảo

In’t Hout, 1992, A new interpolation procedure for adapting Runge–Kutta methods for delay differential equations, BIT, 32, 634, 10.1007/BF01994847 Bellen, 2003 Maset, 2009, Unconditional stability of explicit exponential Runge–Kutta methods for semi-linear ordinary differential equations, Math. Comput., 78, 957, 10.1090/S0025-5718-08-02171-6 Hochbruck, 2005, Exponential Runge–Kutta methods for parabolic problems, Appl. Numer. Math., 53, 323, 10.1016/j.apnum.2004.08.005 Kuang, 1994, The asymptotic stability of one parameter methods for neutral differential equations, BIT, 34, 400, 10.1007/BF01935649