Relations between Directional Derivatives for Smooth Functions in 2D and 3D Spaces

被引：0

作者：

Lu, Gui-xia ^{[1
]}

Shen, Long-jun ^{[1
]}

机构：

[1] Inst Appl Phys & Computat Math, Lab Computat Phys, POB 8009-26, Beijing 100088, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2016年 / 32卷 / 04期

基金：

中国国家自然科学基金;

关键词：

2D space; 3D space; directional derivatives; finite point method; RADIAL BASIS FUNCTIONS; PARTICLE HYDRODYNAMICS; NUMERICAL-METHODS;

D O I：

10.1007/s10255-016-0610-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, relations between directional derivatives are considered for smooth functions both in 2D and 3D spaces. These relations are established in the form of linear combinations of directional derivatives with their coefficients having simple form and structural regularity. By them, expressions based on directional derivatives for some typical differential operators are derived. This builds up a solid mathematical foundation for further study on numerical computation by the finite point method based on directional difference.

引用

页码：899 / 912

页数：14

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