Advances in Computational Mathematics

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Volume 25, Issue 1-3

July 2006

Computional Mathematics Special Issue Dedicated to Charles A. Micchelli's 60th Birthday

17 articles in this issue

Gersgorin variations II: On themes of Fan and Gudkov
Alan J. Hoffman
OriginalPaper Pages: 1 - 6
A construction of multiscale bases for Petrov–Galerkin methods for integral equations
Min Huang
OriginalPaper Pages: 7 - 22
Wavelet bases of Hermite cubic splines on the interval
Rong-Qing Jia
Song-Tao Liu
OriginalPaper Pages: 23 - 39
Construction of multivariate compactly supported orthonormal wavelets
Ming-Jun Lai
OriginalPaper Pages: 41 - 56
Stationary binary subdivision schemes using radial basis function interpolation
Byung-Gook Lee
Yeon Ju Lee
Jungho Yoon
OriginalPaper Pages: 57 - 72
Simultaneous approximation by greedy algorithms
D. Leviatan
V. N. Temlyakov
OriginalPaper Pages: 73 - 90
A characterization of L^p(ℝ) by local trigonometric bases with 1<p<∞
Qiaofang Lian
Yongge Wang
Dunyan Yan
OriginalPaper Pages: 91 - 104
Total positivity and the existence of piecewise exponential B-splines
Tom Lyche
Marie-Laurence Mazure
OriginalPaper Pages: 105 - 133
Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates
Dong Mao
Lihua Shen
Aihui Zhou
OriginalPaper Pages: 135 - 160
Learning theory: stability is sufficient for generalization and necessary and sufficient for consistency of empirical risk minimization
Sayan Mukherjee
Partha Niyogi
Ryan Rifkin
OriginalPaper Pages: 161 - 193
Duality and Riemannian cubics
Lyle Noakes
OriginalPaper Pages: 195 - 209
Differentiability of multivariate refinable functions and factorization
Thomas Sauer
OriginalPaper Pages: 211 - 235
Linearly constrained reconstruction of functions by kernels with applications to machine learning
R. Schaback
J. Werner
OriginalPaper Pages: 237 - 258
An analysis of discontinuous Galerkin methods for elliptic problems
Reinhold Schneider
Yuesheng Xu
Aihui Zhou
OriginalPaper Pages: 259 - 286
An algebraic multigrid method for finite element systems on criss-cross grids
Shi Shu
Jinchao Xu
Haiyuan Yu
OriginalPaper Pages: 287 - 304
Stair Laguerre pseudospectral method for differential equations on the half line
Li-lian Wang
Ben-yu Guo
OriginalPaper Pages: 305 - 322
Approximation with polynomial kernels and SVM classifiers
Ding-Xuan Zhou
Kurt Jetter
OriginalPaper Pages: 323 - 344

Volume 25, Issue 1-3

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