Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations

2003/01/30 by C. Shu, C Shu, Hang Ding +3 · 2 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Basis function #Differential equation #Exponential function #Exponential integrator #Fluid Dynamics Simulations and Interactions #Mathematical analysis #Mathematics #Nonlinear system #Numerical analysis #Numerical integration #Numerical methods in engineering #Ordinary differential equation #Physics #Polynomial basis #Quadrature (astronomy) #Radial basis function

paper · doi:10.1016/s0045-7825(02)00618-7

openalex publication_date 2003/01/30 · crossref created 2003/01/30 · crossref issued 2003/02/01 · crossref published 2003/02/01 · crossref published-print 2003/02/01 · openalex created_date 2016/06/24 · crossref deposited 2024/01/08 · crossref indexed 2026/07/25 · openalex updated_date 2026/07/30

Citations

• Generalizing the finite element method: Diffuse approximation and diffuse elements
• Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates
• Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—II solutions to parabolic, hyperbolic and elliptic partial differential equations
• A numerical approach to the testing of the fission hypothesis
• Multiquadric equations of topography and other irregular surfaces

Cited by

• A New Meshless Fragile Points Method (FPM) With Minimum Unknowns at Each Point, For Flexoelectric Analysis Under Two Theories with Crack Propagation. Part I: Theory and Implementation
• Radial basis function [wikipedia]