In this paper we consider the stability of fixed points of the multivalued Nemitsky operator and, further, obtain stability of solution sets of evolution inclusions. Our work extends the stability results of Lim and C...In this paper we consider the stability of fixed points of the multivalued Nemitsky operator and, further, obtain stability of solution sets of evolution inclusions. Our work extends the stability results of Lim and Constantin.展开更多
A new method for approximation of conic section by quartic B′ezier curve is presented, based on the quartic B′ezier approximation of circular arcs. Here we give an upper bound of the Hausdorff distance between the c...A new method for approximation of conic section by quartic B′ezier curve is presented, based on the quartic B′ezier approximation of circular arcs. Here we give an upper bound of the Hausdorff distance between the conic section and the approximation curve, and show that the error bounds have the approximation order of eight. Furthermore, our method yields quartic G2 continuous spline approximation of conic section when using the subdivision scheme,and the effectiveness of this method is demonstrated by some numerical examples.展开更多
文摘In this paper we consider the stability of fixed points of the multivalued Nemitsky operator and, further, obtain stability of solution sets of evolution inclusions. Our work extends the stability results of Lim and Constantin.
基金Supported by the NSF of China(11101230 and 11371209)
文摘A new method for approximation of conic section by quartic B′ezier curve is presented, based on the quartic B′ezier approximation of circular arcs. Here we give an upper bound of the Hausdorff distance between the conic section and the approximation curve, and show that the error bounds have the approximation order of eight. Furthermore, our method yields quartic G2 continuous spline approximation of conic section when using the subdivision scheme,and the effectiveness of this method is demonstrated by some numerical examples.
