Keywords
- Arithmetic Operation
- Lipschitz Condition
- Numerical Stability
- Discretization Error
- Numerical Process
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References
Babuska, I., M. Prager, and E. Vitasek. [1966]: Numerical Processes in Differential Equations, J. Wiley & Sons, Inc.
Dahlquist, G. [1956]: Convergence and Stability in the Numerical Integration of Ordinary Differential Equations, Math. Scand., 4, 33–53.
Dahlquist, G. [1959]: Stability and Error Bounds in the Numerical Integration of Ordinary Differential Equations, Trans. Roy. Inst. Technol., Stockholm, Nr. 130.
Henrici, P. [1962]: Discrete Variables Methods in Ordinary Differential Equations, J. Wiley & Sons, Inc.
Scraton, R.E. [1964]: The Numerical Solution of Second-Order Differential Equations Not Containing the First Derivative Explicitly, Comp. J., 6, 368–370.
Wilkinson, J.H. [1963]: Rounding Errors in Algebraic Processes, London, H.M.S.O.
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© 1969 Springer-Verlag
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Vitasek, E. (1969). The numerical stability in solution of differential equations. In: Morris, J.L. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060017
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DOI: https://doi.org/10.1007/BFb0060017
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