Bivariate Barycentric Rational Hermite Interpolation
Barycentric rational Hermite interpolants possess various advantages in comparison with classical continued fraction oscillatory rational interpolants, for example, barycentric rational Hermite interpolants offer the advantages of the numerical stability, no poles and no unattainable points, regardless of the distribution of the points.New bivariate barycentric rational Hermite interpolation is presented based on univariate barycentric rational Hermite interpolation.Barycentric rational Hermite interpolant is determined while weights are given.The poles and unattainable points of the bivariate barycentric rational Hermite interpolants can be avoided by choosing proper weights.It is the key issue how to choose weights so that the interpolation error is the minimum value.The optimal interpolation weights are obtained based on an optimization model and the numerical examples are given to show the effectiveness of the new method.
bivariate barycentric rational Hermite interpolation pole unattainable point optimization error.
Qianjin Zhao Youping Hao Zhixiang Yin Jun Wu
College of Science Anhui University of Science and Technology Huainan,China
国际会议
太原
英文
129-137
2011-02-26（万方平台首次上网日期，不代表论文的发表时间）