Polynomial Spline Approach for Double Integrals with Algebraic Singularity

被引：1

作者：

Eshkuvatov, Z. K. ^{[1
,2
]}

Long, N. M. A. Nik ^{[1
,2
]}

Midi, Habshah ^{[1
,2
]}

Khaldjigitov, Abduvali ^{[3
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Fac Sci, Serdang 43400, Malaysia

[2] Univ Putra Malaysia, Inst Mat Res, Serdang 43400, Malaysia

[3] Tashkent Univ Informat Technol, Tashkent, Uzbekistan

来源：

INTERNATIONAL CONFERENCE ON ADVANCEMENT IN SCIENCE AND TECHNOLOGY 2012 (ICAST): CONTEMPORARY MATHEMATICS, MATHEMATICAL PHYSICS AND THEIR APPLICATIONS | 2013年 / 435卷

关键词：

QUADRATURE-FORMULAS;

D O I：

10.1088/1742-6596/435/1/012009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, cubature formulas are constructed to evaluate the double integrals on the rectangle with algebraic singularity by replacing the density function f (x, y) with the S-Delta (P) modified spline function interpolation of type (0,2). Rate of convergence are obtained in the classes of function f (x, y) is an element of C-2,C-alpha (D).

引用

页数：7

共 50 条

[21] Introducing a Polynomial Expression of Molecular Integrals for Algebraic the Molecular Orbital (MO) Equation
Jun Yasui
ELECTRON CORRELATION IN MOLECULES - AB INITIO BEYOND GAUSSIAN QUANTUM CHEMISTRY, 2016, 73 : 161 - 172
[22] Spline Polynomial Approach for the Design of Quadrature Mirror Filters
Stanciu, Lucian
Stanciu, Cristian
Stanciu, Valentin
2014 10TH INTERNATIONAL CONFERENCE ON COMMUNICATIONS (COMM), 2014,
[23] An Algebraic Approach to Implementation of Generalized Polynomial Filters
Shcherbakov, M. A.
Krevchik, V. D.
Sazonov, V. V.
2015 INTERNATIONAL SIBERIAN CONFERENCE ON CONTROL AND COMMUNICATIONS (SIBCON), 2015,
[24] Algebraic First Integrals of the Polynomial Systems Satisfying the Cauchy-Riemann Conditions
Volokitin, Evgenii P.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2016, 15 (02) : 575 - 596
[25] Invariant algebraic curves and rational first integrals for planar polynomial vector fields
Chavarriga, J
Llibre, J
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 169 (01) : 1 - 16
[26] Planar polynomial vector fields having first integrals and algebraic limit cycles
Cao, Jinlong
Jiang, Haixia
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 361 (01) : 177 - 186
[27] Automated Precision Analysis: A Polynomial Algebraic Approach
Boland, David
Constantinides, George A.
2010 18TH IEEE ANNUAL INTERNATIONAL SYMPOSIUM ON FIELD-PROGRAMMABLE CUSTOM COMPUTING MACHINES (FCCM 2010), 2010, : 157 - 164
[28] LINEAR ALGEBRAIC APPROACH FOR COMPUTING POLYNOMIAL RESULTANT
BORDONI, L
COLAGROSSI, A
MIOLA, A
LECTURE NOTES IN COMPUTER SCIENCE, 1982, 144 : 230 - 236
[29] Algebraic approach to closed formulation of Kratzer potential integrals
Morales, J
Pena, JJ
Ovando, G
Gaftoi, V
JOURNAL OF MATHEMATICAL CHEMISTRY, 1997, 21 (03) : 273 - 283
[30] Algebraic approach to closed formulation of Kratzer potential integrals
J. Morales
J.J. Peña
G. Ovando
V. Gaftoi
Journal of Mathematical Chemistry, 1997, 21 : 273 - 283

← 1 2 3 4 5 →