Numerical integration software for projection and projection-grid methods
type: Item
instance of: scholarly article
title: Numerical integration software for projection and projection-grid methods
zbMATH Open document ID: 0822.65011
DOI: 10.1007/BF02366376
author: V. L. Rvachev
author: A. N. Shevchenko
author: V. V. Veretel'nik
published in: Cybernetics and Systems Analysis
publication date: 1995-05-17T00:00:00Z
review text: The paper presents a brief description of the numerical integration software used in the POLE system. This software admits to calculate multiple (and/or contour) integrals regularly arising during the numerical realization of many general purpose methods of solving boundary value problems, such as finite element methods, boundary element methods, etc. The authors essentially use the tools of analytic description of complex geometry supplied by the \(R\)-function method. In addition to function values, the system produces all the necessary partial derivatives which are computed with high accuracy. The software not only provides the user with the possibility of choosing the numerical integration method, but also has an option for automatic construction of the desired algorithms for each grid cell in the given domain.
reviewed by: Valery V. Kobkov
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 65D25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65Y15
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 746030
zbMATH Keywords: projection-grid methods
zbMATH Keywords: projection methods
zbMATH Keywords: numerical differentiation
zbMATH Keywords: quadrature formulas
zbMATH Keywords: numerical integration software
zbMATH Keywords: POLE system
zbMATH Keywords: finite element methods
zbMATH Keywords: boundary element methods
zbMATH Keywords: \(R\)-function method
MaRDI profile type: Publication
cites work: Q4162607
cites work: Q3670496
cites work: Q4203690
description: scientific article; zbMATH DE number 746030