On the calculation of convolutions with Gaussian kernels

被引:3
作者
Bailon, Martin L. [1 ]
Horntrop, David J. [1 ]
机构
[1] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
关键词
quadrature methods; numerical integration methods; convolutions;
D O I
10.1016/j.amc.2005.09.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The calculation of convolutions with Gaussian kernels arises in many applications. The accuracy of a family of recently developed numerical integration rules is studied in this paper. In spite of the attractive implementation properties of the method, the poor convergence properties greatly restrict the situations in which the method should be used. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:383 / 387
页数:5
相关论文
共 12 条
[1]  
Burden R.L., 2005, Numerical methods for fuzzy system of linear equations
[2]  
Canuto C., 2012, Spectral Methods: Fundamentals in Single Domains
[3]  
Davis P, 1984, Methods of Numerical Integration, VSecond
[4]  
De Gennes PG., 1979, SCALING CONCEPTS POL
[5]  
HILDEBRAND F, 1974, INTRO NUMERICAL ANL
[6]   Mesoscopic modeling in the kinetic theory of adsorbates [J].
Hildebrand, M ;
Mikhailov, AS .
JOURNAL OF PHYSICAL CHEMISTRY, 1996, 100 (49) :19089-19101
[7]   Spectral methods for mesoscopic models of pattern formation [J].
Horntrop, DJ ;
Katsoulakis, MA ;
Vlachos, DG .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 173 (01) :364-390
[8]  
MAURER F, 1906, HDB VERGLEICHENDEN 1, V3, P1
[9]   Mesoscopic phase separation dynamics of compressible copolymer melts [J].
Maurits, NM ;
vanVlimmeren, BAC ;
Fraaije, JGEM .
PHYSICAL REVIEW E, 1997, 56 (01) :816-825
[10]  
Stroud A. H., 1966, Gaussian Quadrature Formulas