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A proof that a discrete delta function is second-order accurate

Publication ,  Journal Article
Beale, JT
Published in: Journal of Computational Physics
February 1, 2008

It is proved that a discrete delta function introduced by Smereka [P. Smereka, The numerical approximation of a delta function with application to level set methods, J. Comput. Phys. 211 (2006) 77-90] gives a second-order accurate quadrature rule for surface integrals using values on a regular background grid. The delta function is found using a technique of Mayo [A. Mayo, The fast solution of Poisson's and the biharmonic equations on irregular regions, SIAM J. Numer. Anal. 21 (1984) 285-299]. It can be expressed naturally using a level set function. © 2007 Elsevier Inc. All rights reserved.

Duke Scholars

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

February 1, 2008

Volume

227

Issue

4

Start / End Page

2195 / 2197

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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MLA
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Beale, J. T. (2008). A proof that a discrete delta function is second-order accurate. Journal of Computational Physics, 227(4), 2195–2197. https://doi.org/10.1016/j.jcp.2007.11.004
Beale, J. T. “A proof that a discrete delta function is second-order accurate.” Journal of Computational Physics 227, no. 4 (February 1, 2008): 2195–97. https://doi.org/10.1016/j.jcp.2007.11.004.
Beale JT. A proof that a discrete delta function is second-order accurate. Journal of Computational Physics. 2008 Feb 1;227(4):2195–7.
Beale, J. T. “A proof that a discrete delta function is second-order accurate.” Journal of Computational Physics, vol. 227, no. 4, Feb. 2008, pp. 2195–97. Scopus, doi:10.1016/j.jcp.2007.11.004.
Beale JT. A proof that a discrete delta function is second-order accurate. Journal of Computational Physics. 2008 Feb 1;227(4):2195–2197.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

February 1, 2008

Volume

227

Issue

4

Start / End Page

2195 / 2197

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences