Advances in Computational Mathematics, Volume 21

Volume 21, Number 1-2, July 2004

Francis J. Narcowich, Joseph D. Ward:
Preface. 1-2
Marian Neamtu, Larry L. Schumaker:
On the Approximation Order of Splines on Spherical Triangulations. 3-20
Daniel Potts:
Approximation of Scattered Data by Trigonometric Polynomials on the Torus and the 2-sphere. 21-36
Yuan Xu:
Approximation by Means of h-Harmonic Polynomials on the Unit Sphere. 37-58
Dennis M. Healy Jr., P. J. Kostelec, Daniel N. Rockmore:
Towards Safe and Effective High-Order Legendre Transforms with Applications to FFTs for the 2-sphere. 59-105
Ian H. Sloan, Robert S. Womersley:
Extremal Systems of Points and Numerical Integration on the Sphere. 107-125
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward:
On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits. 127-146
Stephan Dahlke, Gabriele Steidl, Gerd Teschke:
Coorbit Spaces and Banach Frames on Homogeneous Spaces with Applications to the Sphere. 147-180
W. Freeden, V. Michel:
Orthogonal Zonal, Tesseral and Sectorial Wavelets on the Sphere for the Analysis of Satellite Data. 181-217

Larry L. Schumaker:
Preface. 221-222
Oleg Davydov, Frank Zeilfelder:
Scattered Data Fitting by Direct Extension of Local Polynomials to Bivariate Splines. 223-271
Ming-Jun Lai, Alain Le Méhauté:
A New Kind of Trivariate C¹ Macro-element. 273-292
Ming-Jun Lai, Paul Wenston:
L₁ Spline Methods for Scattered Data Interpolation and Approximation. 293-315
O. Nouisser, Driss Sbibih, Paul Sablonnière:
Pairs of B-Splines with Small Support on the Four-Directional Mesh Generating a Partition of Unity. 317-355
Günther Nürnberger, Larry L. Schumaker, Frank Zeilfelder:
Lagrange Interpolation by C¹ Cubic Splines on Triangulated Quadrangulations. 357-380
Günther Nürnberger, Frank Zeilfelder:
Lagrange Interpolation by Bivariate C¹-Splines with Optimal Approximation Order. 381-419
Larry L. Schumaker, Tatyana Sorokina:
C¹ Quintic Splines on Type-4 Tetrahedral Partitions. 421-444