ORTHOGONAL PIECE-WISE POLYNOMIALS BASIS ON AN ARBITRARY TRIANGULAR DOMAIN AND ITS APPLICATIONS

Jia-chang Sun 20f

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ORTHOGONAL PIECE-WISE POLYNOMIALS BASIS ON AN ARBITRARY TRIANGULAR DOMAIN AND ITS APPLICATIONS

机译：基于任意三角域的正交分形多项式及其应用

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摘要

This paper present a way to construct orthogonal piece-wise polynomials on an arbitrary triangular domain via barycentric coordinates. A boundary value problem for Laplace equation and its eigenvalue problem can be solved as two applications of this approach.

机译：本文提出了一种通过重心坐标在任意三角形域上构造正交分段多项式的方法。拉普拉斯方程的边值问题及其特征值问题可以作为该方法的两个应用来解决。

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来源
《Journal of Computational Mathematics》 |2001年第1期|p.55-56|共2页
作者
Jia-chang Sun 20f;
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原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
Orthogonal piece-wise polynomials; Triangular domain; Eigen-decomposition;

机译：正交分段多项式;三角域本征分解;

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专利

1. ORTHOGONAL PIECE-WISE POLYNOMIALS BASIS ON AN ARBITRARY TRIANGULAR DOMAIN AND ITS APPLICATIONS [J] . Jia-chang Sun Journal of Computational Mathematics . 2001,第1期

机译：基于任意三角域的正交分形多项式及其应用
2. Recurrence Relations for Orthogonal Polynomials on Triangular Domains [J] . Abedallah Rababah Mathematics . 2016,第2期

机译：三角域上正交多项式的递推关系
3. Bivariate orthogonal polynomials on triangular domains [J] . Abedallah Rababah Mathematics and computers in simulation . 2008,第1期

机译：三角域上的双变量正交多项式
4. Time-domain simulation of sampled weakly nonlinear systems using analytical integration and orthogonal polynomial series mixed-signal IC applications [C] . Martens, E., Gielen, . 2004

机译：利用分析积分和正交多项式级数对采样的弱非线性系统进行时域仿真混合信号IC应用
5. Paired pulse basis functions and triangular patch modeling for the method of moments calculation of electromagnetic scattering from three-dimensional, arbitrarily-shaped bodies. [D] . Mackenzie, Anne I. 2008

机译：成对的脉冲基函数和三角形补丁模型，用于计算任意形状的三维物体的电磁散射矩。
6. Analyzing genomic data using tensor-based orthogonal polynomials with application to synthetic RNAs [O] . Saba Nafees, Sean H Rice, Catherine A Wakeman 2020

机译：用张量的正交多项式分析基因组数据与合成RNA的应用
7. Recurrence Relations for Orthogonal Polynomials on Triangular Domains [O] . Abedallah Rababah 2016

机译：三角域上正交多项式的递推关系
8. METHOD OF CHARACTERISTICS CALCULATIONS AND COMPUTER CODE FOR MATERIALS WITH ARBITRARY EQUATIONS OF STATE AND USING ORTHOGONAL POLYNOMIAL LEAST SQUARE SURFACE FITS [R] . Rohert G. Thompson 1974

机译：具有任意状态和使用正交多项式最小二乘面的材料的特征计算方法和计算机代码

ORTHOGONAL PIECE-WISE POLYNOMIALS BASIS ON AN ARBITRARY TRIANGULAR DOMAIN AND ITS APPLICATIONS

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