典型文献
THEORETICAL ANALYSES ON DISCRETE FORMULAE OF DIRECTIONAL DIFFERENTIALS IN THE FINITE POINT METHOD
文献摘要：
For the five-point discrete formulae of directional derivatives in the finite point method,overcoming the challenge resulted from scattered point sets and making full use of the ex-plicit expressions and accuracy of the formulae,this paper obtains a number of theoretical results:(1) a concise expression with definite meaning of the complicated directional differ-ence coefficient matrix is presented,which characterizes the correlation between coefficients and the connection between coefficients and scattered geometric characteristics;(2) various expressions of the discriminant function for the solvability of numerical differentials along with the estimation of its lower bound are given,which are the bases for selecting neigh-boring points and making analysis;(3) the estimations of combinatorial elements and of each element in the directional difference coefficient matrix are put out,which exclude the existence of singularity.Finally,the theoretical analysis results are verified by numerical calculations.The results of this paper have strong regularity,which lay the foundation for further research on the finite point method for solving partial differential equations.
文献关键词：
中图分类号：
作者姓名：
Guixia Lv;Longjun Shen
作者机构：
Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,P.O.Box 8009-26,Beijing 100088,China
文献出处：
引用格式：
[1]Guixia Lv;Longjun Shen-.THEORETICAL ANALYSES ON DISCRETE FORMULAE OF DIRECTIONAL DIFFERENTIALS IN THE FINITE POINT METHOD)[J].计算数学（英文版）,2022(01):1-25
A类：
THEORETICAL,ANALYSES,DISCRETE,FORMULAE,DIRECTIONAL,DIFFERENTIALS,FINITE,POINT,plicit
B类：
OF,METHOD,For,five,discrete,formulae,directional,derivatives,method,overcoming,challenge,resulted,from,scattered,sets,making,full,use,expressions,accuracy,this,paper,obtains,number,theoretical,results,concise,definite,meaning,complicated,matrix,presented,which,characterizes,correlation,between,coefficients,connection,geometric,characteristics,various,discriminant,function,solvability,numerical,differentials,along,its,lower,bound,are,given,bases,selecting,neigh,boring,points,analysis,estimations,combinatorial,elements,each,difference,put,out,exclude,existence,singularity,Finally,verified,by,calculations,have,strong,regularity,lay,foundation,further,research,solving,partial,equations
AB值：
0.527774
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
