Relations between directional derivatives for smooth functions in 2D and 3D spaces

DOI10.1007/s10255-016-0610-9zbMath1359.26013OpenAlexW2526319119MaRDI QIDQ519223

Long-jun Shen, Gui-xia Lü

Publication date: 4 April 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-016-0610-9

zbMATH Keywords

directional derivativesfinite point method2D space3D space

Mathematics Subject Classification ID

Multidimensional problems (41A63) Numerical differentiation (65D25) Continuity and differentiation questions (26B05)

Uses Software

• rbf_qr

Cites Work

• Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
• Relations of 3D directional derivatives and expressions of typical differential operators
• The generalized finite point method
• Radial basis function and related models: An overview
• An upwind finite difference scheme for meshless solvers
• Compactly supported correlation functions
• Stable Computations with Gaussian Radial Basis Functions
• Numerical methods for energy flux of temperature diffusion equation on unstructured meshes
• A Finite Point Method Based on Directional Differences
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Moving-least-squares-particle hydrodynamics?I. Consistency and stability
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW

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