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

被引：8

作者：

Beale, J. Thomas ^{[1
]}

机构：

[1] Duke Univ, Dept Math, Durham, NC 27708 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 04期

基金：

美国国家科学基金会;

关键词：

discrete delta function; level set function; surface integral;

D O I：

10.1016/j.jcp.2007.11.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：2195 / 2197

页数：3

共 50 条

[31] The nature of discrete second-order self-similarity
Gefferth, A
Veitch, D
Maricza, I
Molnár, S
Ruzsa, I
ADVANCES IN APPLIED PROBABILITY, 2003, 35 (02) : 395 - 416
[32] Second-order eigensensitivity analysis of discrete structural systems
Cao, X.
Mlejnek, H.P.
Computers and Structures, 1992, 44 (1-2): : 399 - 404
[33] Second-order accelerator of investment: The case of discrete time
Dalla, Eleni
Varelas, Erotokritos
INTERNATIONAL REVIEW OF ECONOMICS EDUCATION, 2016, 21 : 48 - 60
[34] On boundary value problems for second-order discrete inclusions
Petr Stehlík
Christopher C Tisdell
Boundary Value Problems, 2005
[35] Discrete Second-order Probability Distributions that Factor into Marginals
Sundgren, David
ISIPTA '11 - PROCEEDINGS OF THE SEVENTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS, 2011, : 335 - 342
[36] A note on the discrete wavelet transform of second-order processes
Averkamp, R
Houdré, C
IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (04) : 1673 - 1676
[37] Proof of the fundamental theorems on second-order cross partial derivatives
Currier, A. E.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1933, 35 (1-4) : 245 - 253
[38] A Linear Proof Language for Second-Order Intuitionistic Linear Logic
Diaz-Caro, Alejandro
Dowek, Gilles
Ivnisky, Malena
Malherbe, Octavio
LOGIC, LANGUAGE, INFORMATION, AND COMPUTATION, WOLLIC 2024, 2024, 14672 : 18 - 35
[39] A simple proof of second-order strong normalization with permutative conversions
Tatsuta, M
Mints, G
ANNALS OF PURE AND APPLIED LOGIC, 2005, 136 (1-2) : 134 - 155
[40] SECOND-ORDER APPROXIMATION OF AUTOCORRELATION MATRIX FUNCTION
ZRNIC, DS
PROCEEDINGS OF THE IEEE, 1973, 61 (03) : 387 - 388

← 1 2 3 4 5 →