[图书][B] A primer on radial basis functions with applications to the geosciences
B Fornberg, N Flyer - 2015 - SIAM
This book is focused on a powerful numerical methodology for solving PDEs to high
accuracy in any number of dimensions: Radial Basis Functions (RBFs). During the past …
accuracy in any number of dimensions: Radial Basis Functions (RBFs). During the past …
Vector fields for five-axis machining. A survey
SS Makhanov - The International Journal of Advanced Manufacturing …, 2022 - Springer
Toolpath generation (TPG) for multi-axis milling machines using vector fields (VF) and vector
field analysis (VFA) is becoming increasingly popular in the manufacturing industry …
field analysis (VFA) is becoming increasingly popular in the manufacturing industry …
Neural Parametric Fokker--Planck Equation
In this paper, we develop and analyze numerical methods for high-dimensional Fokker--
Planck equations by leveraging generative models from deep learning. Our starting point is …
Planck equations by leveraging generative models from deep learning. Our starting point is …
Vector field radial basis function approximation
Vector field simplification aims to reduce the complexity of the flow by removing features
according to their relevance and importance. Our goal is to preserve only the important …
according to their relevance and importance. Our goal is to preserve only the important …
Regularized symmetric positive definite matrix factorizations for linear systems arising from RBF interpolation and differentiation
SA Sarra - Engineering Analysis with Boundary Elements, 2014 - Elsevier
Scattered data interpolation using Radial Basis Functions involves solving an ill-conditioned
symmetric positive definite (SPD) linear system (with appropriate selection of basis function) …
symmetric positive definite (SPD) linear system (with appropriate selection of basis function) …
A discontinuous finite element method based on B-spline wavelet on the interval for solving first-order neutron transport equation with discrete ordinate (SN) angular …
H Guo, W Chen, X Jiang, D Jiang, X Zhang - Annals of Nuclear Energy, 2021 - Elsevier
In this paper, a discontinuous Galerkin finite element method (DGFEM) based on B-spline
wavelet on the interval (BSWI) is developed and applied to solve the first-order neutron …
wavelet on the interval (BSWI) is developed and applied to solve the first-order neutron …
Radial basis function and multi-level 2D vector field approximation
We propose a new approach for meshless multi-level radial basis function (ML-RBF)
approximation which offers data-sensitive compression and progressive details …
approximation which offers data-sensitive compression and progressive details …
Cubic quasi-interpolation spline collocation method for solving convection–diffusion equations
In this paper, we use a cubic spline collocation method to solve a two dimensional
convection–diffusion equation. More precisely, we approximate first and second order partial …
convection–diffusion equation. More precisely, we approximate first and second order partial …
Solving the problem of Runge phenomenon by pseudoinverse cubic spline
The Runge phenomenon illustrates that equidistant polynomial interpolation of the Runge
function will cause wild oscillation near the endpoints of the interpolation interval as the …
function will cause wild oscillation near the endpoints of the interpolation interval as the …
Radial basis function methods for optimal control of the convection–diffusion equation: A numerical study
PG Casanova, C Gout, J Zavaleta - Engineering Analysis with Boundary …, 2019 - Elsevier
In this paper, we perform a numerical study for the solution of optimal constrained
optimization problems for linear convection–diffusion PDEs by local and global radial basis …
optimization problems for linear convection–diffusion PDEs by local and global radial basis …