Feng Kang, Formal power series and numerical algorithms for dynamical systems. Proceedings of international conference on scientific computation, Hangzhou, China, Eds. Tony Chan & Zhong-Ci Shi, Series on Appl. Math 1, 28--35, 1991.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....such that the numerical solution can formally be interpreted, with increasing index i, as the more and more accurate solution of the modified equation. Previous papers on backward error analysis for differential equations include those by Warming Hyett [31] Griffiths Sanz Serna [7] Feng [12], Fiedler Scheurle [13] and Sanz Serna [27] More recently, formulas for the computation of the modified vector fields X i have been derived by Hairer [14] Calvo, Murua Sanz Serna [4] Benettin Giorgilli [3] and Reich [24] In papers by Neishtadt [23] Benettin Giorgilli [3] and Hairer ....

Feng Kang, Formal power series and numerical algorithms for dynamical systems. Proceedings of international conference on scientific computation, Hangzhou, China, Eds. Tony Chan & Zhong-Ci Shi, Series on Appl. Math 1, 28--35, 1991.

....the numerical solution can formally be interpreted, with increasing index i, as the more and more accurate solution of the modified equation. Previous papers on backward error analysis for differential equations include those by Warming Hyett [38] Griffiths Sanz Serna [12] Beyn [6] Feng [10], Fiedler Scheurle [11] and Sanz Serna [31] Another early reference to related ideas is Moser [24] who discusses the approximation of a symplectic map near an equilibrium by the flow map of a Hamiltonian vector field. More recently, general formulas for the computation of the modified vector ....

K. Feng, Formal power series and numerical algorithms for dynamical systems, in Proceedings of International Conference on Scientific Computation, Tony Chan and Zhong-Ci Shi, eds., Series on Appl. Math, 1 (1991), pp. 28--35.

.... : 1.2) such that yn = e y(nh) O(h N 1 ) if the series (1.2) is truncated after the h N term. Backward analysis. This technique has its origin in numerical linear algebra. For ordinary differential equations it has been used in the works of Griffiths Sanz Serna [7] Feng Kang [5], Sanz Serna [23] Yoshida [29] Dept. de Math ematiques, Universit e de Gen eve, CH 1211 Gen eve 24, Switzerland; E mail: Ernst.Hairer math.unige.ch, URL: http: www.unige.ch math folks hairer y Mathematisches Institut, Universitat Tubingen, Auf der Morgenstelle 10, D 72076 Tubingen, ....

Feng Kang, Formal power series and numerical algorithms for dynamical systems. In Proceedings of international conference on scientific computation, Hangzhou, China, Eds. Tony Chan & Zhong-Ci Shi, Series on Appl. Math. 1 (1991), pp. 28--35.

.... : 1.2) such that yn = e y(nh) O(h N 1 ) if the series (1.2) is truncated after the h N term. Backward analysis. This technique has its origin in numerical linear algebra. For ordinary differential equations it has been used in the works of Griffiths Sanz Serna [6] Feng Kang [4], Sanz Serna [21] Yoshida [27] Dept. de Math ematiques, Universit e de Gen eve, CH 1211 Gen eve 24, Switzerland; E mail: Ernst.Hairer math.unige.ch, URL: http: www.unige.ch math folks hairer y Mathematisches Institut, Universitat Tubingen, Auf der Morgenstelle 10, D 72076 Tubingen, ....

Feng Kang, Formal power series and numerical algorithms for dynamical systems. In Proceedings of international conference on scientific computation, Hangzhou, China, Eds. Tony Chan & Zhong-Ci Shi, Series on Appl. Math. 1 (1991), pp. 28--35.

....the numerical solution can formally be interpreted, with increasing index i, as the more and more accurate solution of the modified equation. Previous papers on backward error analysis for differential equations include those by Warming Hyett [38] Griffiths Sanz Serna [12] Beyn [6] Feng [10], Fiedler Scheurle [11] and Sanz Serna [31] Another early reference to related ideas is Moser [24] who discusses the approximation of a symplectic map near an equilibrium by the flow map of a Hamiltonian vector field. More recently, general formulas for the computation of the modified vector ....

Feng, K., Formal Power Series and Numerical Algorithms for Dynamical Systems, in: Proceedings of International Conference on Scientific Computation, Hangzhou, China, Eds. Tony Chan & Zhong-Ci Shi, Series on Appl. Math 1, 28--35, 1991.

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Math. 45, 65-73. Feng Kang (1991): Formal power series and numerical algorithms for dynamical systems.

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Math. 45, 65-73. Feng Kang (1991): Formal power series and numerical algorithms for dynamical systems.

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