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Volume 7, Issue 4
The Evolution of Initial Small Disturbance in Discrete Computation of Contour Dynamics

Huamo Wu & Yu-Hua Wu

J. Comp. Math., 7 (1989), pp. 367-373.

Published online: 1989-07

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  • Abstract

In this paper, we mainly discuss the evolution of initial small disturbance in discrete computation of the contour dynamics method. For one class of smooth contour, we prove the stability of evolution of initial small disturbance based on the analysis of the convergence of the contour dynamics method with Euler's explicit method in time. Namely, at terminal time T, the evolving disturbance is going to zero as initial small disturbance goes to zero. The numerical experiment on the stability of contour dynamics has been given in [5,6].

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@Article{JCM-7-367, author = {Wu , Huamo and Wu , Yu-Hua}, title = {The Evolution of Initial Small Disturbance in Discrete Computation of Contour Dynamics}, journal = {Journal of Computational Mathematics}, year = {1989}, volume = {7}, number = {4}, pages = {367--373}, abstract = {

In this paper, we mainly discuss the evolution of initial small disturbance in discrete computation of the contour dynamics method. For one class of smooth contour, we prove the stability of evolution of initial small disturbance based on the analysis of the convergence of the contour dynamics method with Euler's explicit method in time. Namely, at terminal time T, the evolving disturbance is going to zero as initial small disturbance goes to zero. The numerical experiment on the stability of contour dynamics has been given in [5,6].

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9486.html} }
TY - JOUR T1 - The Evolution of Initial Small Disturbance in Discrete Computation of Contour Dynamics AU - Wu , Huamo AU - Wu , Yu-Hua JO - Journal of Computational Mathematics VL - 4 SP - 367 EP - 373 PY - 1989 DA - 1989/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9486.html KW - AB -

In this paper, we mainly discuss the evolution of initial small disturbance in discrete computation of the contour dynamics method. For one class of smooth contour, we prove the stability of evolution of initial small disturbance based on the analysis of the convergence of the contour dynamics method with Euler's explicit method in time. Namely, at terminal time T, the evolving disturbance is going to zero as initial small disturbance goes to zero. The numerical experiment on the stability of contour dynamics has been given in [5,6].

Huamo Wu & Yu-Hua Wu. (1970). The Evolution of Initial Small Disturbance in Discrete Computation of Contour Dynamics. Journal of Computational Mathematics. 7 (4). 367-373. doi:
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