1. Gersgorin variations II: On themes of Fan and Gudkov

   • Alan J. Hoffman

   OriginalPaper Pages: 1 - 6

2. A construction of multiscale bases for Petrov–Galerkin methods for integral equations

   • Min Huang

   OriginalPaper Pages: 7 - 22

3. Wavelet bases of Hermite cubic splines on the interval

   • Rong-Qing Jia
   • Song-Tao Liu

   OriginalPaper Pages: 23 - 39

4. Construction of multivariate compactly supported orthonormal wavelets

   • Ming-Jun Lai

   OriginalPaper Pages: 41 - 56

5. Stationary binary subdivision schemes using radial basis function interpolation

   • Byung-Gook Lee
   • Yeon Ju Lee
   • Jungho Yoon

   OriginalPaper Pages: 57 - 72

6. Simultaneous approximation by greedy algorithms

   • D. Leviatan
   • V. N. Temlyakov

   OriginalPaper Pages: 73 - 90

7. A characterization of L^p(ℝ) by local trigonometric bases with 1<p<∞

   • Qiaofang Lian
   • Yongge Wang
   • Dunyan Yan

   OriginalPaper Pages: 91 - 104

8. Total positivity and the existence of piecewise exponential B-splines

   • Tom Lyche
   • Marie-Laurence Mazure

   OriginalPaper Pages: 105 - 133

9. 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

10. 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

11. Duality and Riemannian cubics

    • Lyle Noakes

    OriginalPaper Pages: 195 - 209

12. Differentiability of multivariate refinable functions and factorization

    • Thomas Sauer

    OriginalPaper Pages: 211 - 235

13. Linearly constrained reconstruction of functions by kernels with applications to machine learning

    • R. Schaback
    • J. Werner

    OriginalPaper Pages: 237 - 258

14. An analysis of discontinuous Galerkin methods for elliptic problems

    • Reinhold Schneider
    • Yuesheng Xu
    • Aihui Zhou

    OriginalPaper Pages: 259 - 286

15. An algebraic multigrid method for finite element systems on criss-cross grids

    • Shi Shu
    • Jinchao Xu
    • Haiyuan Yu

    OriginalPaper Pages: 287 - 304

16. Stair Laguerre pseudospectral method for differential equations on the half line

    • Li-lian Wang
    • Ben-yu Guo

    OriginalPaper Pages: 305 - 322

17. Approximation with polynomial kernels and SVM classifiers

    • Ding-Xuan Zhou
    • Kurt Jetter

    OriginalPaper Pages: 323 - 344