Computer Science and Information Engineering, World Congress on (2009)
Los Angeles, California USA
Mar. 31, 2009 to Apr. 2, 2009
In this paper we deeply research Lagrange interpolation on the unit sphere. First we study the Lagrange interpolation problem along a set of latitudes on the sphere and give three kinds of properly posed sets of nodes along it. Then we get a class of properly posed set of nodes for Lagrange interpolation on the unit sphere by superposition interpolation process. The result in this paper is an extension and a development of predecessor’s work in this field.
X. Liang and M. Zhang, "A Kind of Lagrange Interpolation on the Sphere," 2009 WRI World Congress on Computer Science and Information Engineering, CSIE(CSIE), Los Angeles, CA, 2009, pp. 96-100.