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References
R. Alexander, Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s, SIAM J. Numer. Anal. 6 (1977) 1006–1021.
T. D. Bui, Some A-stable and L-stable methods for the numerical integration of stiff ordinary differential equations, J. ACM 26 (1979) 483–493.
G. Dahlquist, Stability and error bounds in the numerical integration of ordinary differential equations, Trans. Royal Inst. Technology, Stockholm, 130 (1959).
A. Prothero, Estimating the accuracy of numerical solutions to ordinary differential equations, pp. 103–128 in I. Gladwell and D. K. Sayers, eds., Computational Techniques for Ordinary Differ-ential Equations, Academic, London, 1980.
A. Robinson and A. Prothero, Global error estimates for solutions to stiff systems of ordinary differential equations, contributed paper, Dundee Numerical Analysis Conference, 1977.
L. F. Shampine, Global error estimation for stiff ODEs, Rept. SAND79-1587, Sandia National Laboratories, Albuquerque, NM, 1979.
H. J. Stetter, Global error estimation in ODE-solvers, pp. 179–189 in Lecture Notes in Mathematics, 630, Springer, Berlin, 1978.
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Shampine, L.F. (1984). Global error estimation for stiff ODEs. In: Griffiths, D.F. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099523
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DOI: https://doi.org/10.1007/BFb0099523
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