AuthorBezhaev, Anatoly Yu. author
TitleVariational Theory of Splines [electronic resource] / by Anatoly Yu. Bezhaev, Vladimir A. Vasilenko
ImprintBoston, MA : Springer US : Imprint: Springer, 2001
Connect tohttp://dx.doi.org/10.1007/978-1-4757-3428-7
Descript XVIII, 280 p. online resource

CONTENT

1. Splines in Hilbert Spaces -- 2. Reproducing Mappings and Characterization of Splines -- 3. General Convergence Techniques and Error Estimates for Interpolating Splines -- 4. Splines in Subspaces -- 5. Interpolating DM-Splines -- 6. Splines on Manifolds -- 7. Vector Splines -- 8. Tensor and Blending Splines -- 9. Optimal Approximation of Linear Operators -- 10. Classification of Spline Objects -- 11. ??-Approximations and Data Compression -- 12. Algorithms for Optimal Smoothing Parameter -- Appendices -- Theorems from Functional Analysis Used in This Book -- A.1 Convergence in Hilbert Space -- A.2 Theorems on Linear Operators -- A.3 Sobolev Spaces in Domain -- On Software Investigations in Splines -- B.1 One-Dimensional Case -- B.2 Multi-Dimensional Case


SUBJECT

  1. Mathematics
  2. Numerical analysis
  3. Mathematical analysis
  4. Analysis (Mathematics)
  5. Approximation theory
  6. Functional analysis
  7. Calculus of variations
  8. Mathematics
  9. Analysis
  10. Functional Analysis
  11. Numeric Computing
  12. Approximations and Expansions
  13. Calculus of Variations and Optimal Control; Optimization