References
- C. E. Abhulimen, G. E. Omeike, A sixth-order exponentially fitted shceme for the numerical solution of systems of ordinary differential equations, J. Appl. Math. & Bioinf., 1(2011), 175-186.
- R. R. Ahmad, N. Yaacob, A. H. Mohd Murid, Explicit methods in solving stiff ordinary differential equations, Int. J. Comput. Maht., 81(2004), 1407-1415. https://doi.org/10.1080/00207160410001661744
- J. Alverez, J. Rojo, An improved class of generalized Runge-Kutta methods for stiff problems. Part I: The scalar case, Appl. Math. Comput., 130(2002), 537-560. https://doi.org/10.1016/S0096-3003(01)00115-1
- L. Brugnano and C. Magherini, Blended implementation of block implicit methods for ODEs, Appl. Numer. Math., 42(2002), 29-45. https://doi.org/10.1016/S0168-9274(01)00140-4
- J. R. Cash, On the exponential fitting of composite, multiderivative linear multistep methods, SIAM J. Numer. Anal., 18(1981), 808-821. https://doi.org/10.1137/0718055
- M. V. Daele and G. V. Berghe, Extended one-step methods: an exponential fitting approach, Appl. Num. Anal. Comp. Math., 1(2004), 353-362. https://doi.org/10.1002/anac.200410003
- G. Dahlquist, A special stability problem for linear multistep methods, BIT, 3(1963), 27-43. https://doi.org/10.1007/BF01963532
- L. W. Jackson and S. K. Kenue, A fourth order exponetially fitted method, SIAM J. Numer. Anal., 11(1974), 965-978. https://doi.org/10.1137/0711075
- W. Liniger and R. A. Willoughby, Efficient integration methods for stiff systems of ordinary differential equations, SIAM J. Numer. Anal., 7(1970), 47-65. https://doi.org/10.1137/0707002
- P. Kim, X. Piao and S. D. Kim, An error corrected Euler method for solving stiff problems based on Chebyshev collocation, SIAM J. Numer. Anal., 49(2011), 2211-2230. https://doi.org/10.1137/100808691
- S. D. Kim, X. Piao and P. Kim, Convergence on Error correction methods for initial value problems, J. Comp. Appl. Math., to appear.
- H. Ramos, A non-standard explicit integration scheme for initial-value problems, Appl. Math. Comp., 189(1)(2007), 710-718. https://doi.org/10.1016/j.amc.2006.11.134
- D. Voss, A fifth-order exponentially fitted formula, SIAM J. Numer. Anal., 25(1988), 670-678. https://doi.org/10.1137/0725040
- X. Y. Wu, A sixth-order A-stable explicit one-step method for stiff systems, Comput. Math. Appl., 35(1998), 59-64.
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