微分方程式の数値解析パッケージ参考文献

参考文献

[1] Butcher, J. C. The Numerical Analysis of Ordinary Differential Equations: Runge‐Kutta and General Linear Methods. John Wiley and Sons, 1987.

[2] Iserles, A. A First Course in the Numerical Analysis of Differential Equations. Cambridge University Press, 1996.

[3] Lambert, J. D. Numerical Methods for Ordinary Differential Systems: The Initial Value Problem. John Wiley and Sons, 1991.

[4] Hairer, E., S. P. Norsett, and G. Wanner. Solving Ordinary Differential Equations I: Nonstiff Problems, 2nd ed. Springer-Verlag, 1993.

[5] Hairer, E. and G. Wanner. Solving Ordinary Differential Equations II: Stiff and Differential Algebraic Problems. Springer‐Verlag, 1991

[6] Sofroniou, M. "Symbolic Derivation of Runge–Kutta Methods." Journal of Symbolic Computation 18, no. 3 (1994): 265–296.