article · SIAM Journal on Numerical Analysis · 1977

Error Bounds for Polynomial Blending Function Methods

Cited by 3Abstract and details only

Abstract

Let u be a smooth function defined on a rectangular grid. One can construct a blended interpolant $Pu$ which interpolates u and its normal derivatives up to a given order on the grid lines. This paper gives bounds for $u - Pu$ with respect to the norms on various Sobolev spaces.

Cite this paper

APA 7

Watkins, D. S. (1977). Error Bounds for Polynomial Blending Function Methods. SIAM Journal on Numerical Analysis, 14(4), 721–734. https://doi.org/10.1137/0714049

MLA 9

Watkins, David S. “Error Bounds for Polynomial Blending Function Methods.” SIAM Journal on Numerical Analysis, vol. 14, no. 4, 1977, pp. 721–34, https://doi.org/10.1137/0714049.

Chicago

Watkins, David S. 1977. “Error Bounds for Polynomial Blending Function Methods.” SIAM Journal on Numerical Analysis 14 (4): 721–34. https://doi.org/10.1137/0714049.

Harvard

Watkins, D.S. (1977) ‘Error Bounds for Polynomial Blending Function Methods’, SIAM Journal on Numerical Analysis, 14(4), pp. 721–734. Available at: https://doi.org/10.1137/0714049.

BibTeX

@article{watkins1977error,
  title = {{Error Bounds for Polynomial Blending Function Methods}},
  author = {Watkins, David S.},
  journal = {SIAM Journal on Numerical Analysis},
  volume = {14},
  number = {4},
  pages = {721--734},
  year = {1977},
  doi = {10.1137/0714049}
}

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