Advances in Computational Mathematics, Volume 20

Volume 20, Number 1-3, January 2004

• Preface. 1-3
  
• Jesús M. Carnicer, Mariano Gasca:
  Classification of Bivariate Configurations with Simple Lagrange Interpolation Formulae. 5-16
  
• Qiuhui Chen, Yuesheng Xu:
  The Cascade Algorithm for the Numerical Computation of Refinable Functions. 17-24
  
• Paolo Costantini, Francesca Pelosi:
  Shape-Preserving Approximation of Spatial Data. 25-51
  
• Shai Dekel, Dany Leviatan:
  On Measuring the Efficiency of Kernel Operators in L_p(R^d). 53-65
  
• Kurt Jetter, G. Zimmermann:
  Polynomial Reproduction in Subdivision. 67-86
  
• A. Kouibia, M. Pasadas:
  Approximation of Surfaces by Fairness Bicubic Splines. 87-103
  
• P. Lamberti, Carla Manni:
  Tensioned Quasi-Interpolation Via Geometric Continuity. 105-127
  
• U. Luther:
  Approximation Spaces in the Numerical Analysis of Operator Equations. 129-147
  
• Tom Lyche, J. M. Peña:
  Optimally Stable Multivariate Bases. 149-159
  
• Esmeralda Mainar, Juan Manuel Peña:
  Quadratic-Cycloidal Curves. 161-175
  
• Marie-Laurence Mazure:
  Blossoms and Optimal Bases. 177-203
  
• H. Michael Möller, Tomas Sauer:
  Multivariate Refinable Functions of High Approximation Order Via Quotient Ideals of Laurent Polynomials. 205-228
  
• Paul Sablonnière:
  Bernstein-Type Bases and Corner Cutting Algorithms for C¹ Merrien's Curves. 229-246
  
• Yuan Xu:
  Polynomial Interpolation on the Unit Sphere and on the Unit Ball. 247-260
  

Volume 20, Number 4, May 2004

• Allan Pinkus:
  Strictly Positive Definite Functions on a Real Inner Product Space. 263-271
  
• Marie Madeleine Derriennic:
  Shape preserving polynomial curves. 273-292
  
• Marius Bochniak:
  The Dual Singular Function Method for 2D Boundary Integral Equations. 293-310
  
• Song Li:
  Characterization of Smoothness of Multivariate Refinable Functions and Convergence of Cascade Algorithms of Nonhomogeneous Refinement Equations. 311-331
  
• Xiu Ye:
  Discontinuous Stable Elements for the Incompressible Flow. 333-345
  
• Viktor N. Konovalov, Dany Leviatan:
  Free-knot Splines Approximation of s-monotone Functions. 347-366
  
• Douglas P. Hardin, Thomas A. Hogan, Qiyu Sun:
  The Matrix-Valued Riesz Lemma and Local Orthonormal Bases in Shift-Invariant Spaces. 367-384
  
• Hwanho Kim, Jinchao Xu, Ludmil Zikatanov:
  Uniformly Convergent Multigrid Methods for Convection-Diffusion Problems without Any Constraint on Coarse Grids. 385-399
  
• Peter Oswald:
  Smoothness of Nonlinear Median-Interpolation Subdivision. 401-423