数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 321-332.doi: 10.1016/S0252-9602(13)60001-6

• 论文 •    下一篇

INTERPOLATION SOLUTION TO A BOUNDARY VALUE PROBLEM OF HARMONIC FIELD

涂天亮|莫炯   

  1. College of Mathematics and Informatics, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China; College of Physics, Zhengzhou University, Zhengzhou 450052, China
  • 收稿日期:2010-09-14 出版日期:2013-03-20 发布日期:2013-03-20
  • 基金资助:

    The first author is supported by NSF of Henan Province P. R. China (974050900).

INTERPOLATION SOLUTION TO A BOUNDARY VALUE PROBLEM OF HARMONIC FIELD

 TU Tian-Liang, MO Jiong   

  1. College of Mathematics and Informatics, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China; College of Physics, Zhengzhou University, Zhengzhou 450052, China
  • Received:2010-09-14 Online:2013-03-20 Published:2013-03-20
  • Supported by:

    The first author is supported by NSF of Henan Province P. R. China (974050900).

摘要:

This article is a improvement on author’s early work (ActaMathematica Scientia, Vol.30 No.2 Ser.A 2010). In this article, there are two new contributions: 1) The restrictive conditions on approximation domain boundary is improved essentially. 2) The Fejér points is extended by perturbed Fejér points with stable order of approximation.

关键词: Harmonic interpolation approximation, perturbed Fejér points, stable order of approximate, boundary restriction condition

Abstract:

This article is a improvement on author’s early work (ActaMathematica Scientia, Vol.30 No.2 Ser.A 2010). In this article, there are two new contributions: 1) The restrictive conditions on approximation domain boundary is improved essentially. 2) The Fejér points is extended by perturbed Fejér points with stable order of approximation.

Key words: Harmonic interpolation approximation, perturbed Fejér points, stable order of approximate, boundary restriction condition

中图分类号: 

  • 30E05