Compactly supported radial basis functions: how and why? [PDF]
, 2012 The use of radial basis functions have attracted increasing attention in recent years as an elegant scheme for high-dimensional scattered data approximation, an accepted method for machine learning, one of the foundations of mesh-free methods, an ...
Zhu, S.
core +3 more sources
A univariate quasi-multiquadric interpolationwith better smoothness
Computers & Mathematics with Applications, 2004 A univariate quasi-interpolation scheme is proposed which is derivative-free and efficient. Since it is a quasi-interpolation method, no linear systems need to be solved for computing the required coefficients; this makes it also suitable for smoothing.
openaire +2 more sources
A MLPG Meshless Method for Numerical Simulation of Unsteady Incompressible Flows
Journal of Applied Fluid Mechanics, 2017 This article presents a numerical algorithm using the Meshless Local PetrovGalerkin (MLPG) method for numerical simulation of unsteady incompressible flows, governed by the Navier–Stokes equations via the stream function–vorticity (ψ–ω) formulation.
Iraj Saeedpanah
doaj
Numerical solutions of a boundary value problem on the sphere using radial basis functions [PDF]
, 2016 Boundary value problems on the unit sphere arise naturally in geophysics and oceanography when scientists model a physical quantity on large scales. Robust numerical methods play an important role in solving these problems.
Gia, Quoc Thong Le
core
High accuracy multiquadric quasi-interpolation
Applied Mathematical Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Zi-Wu +3 more
openaire +1 more source
A new type of radial basis functions for problems governed by partial differential equations. [PDF]
PLoS One, 2023 Liu J, Wang F, Nadeem S.
europepmc +1 more source
Kansa Method for Unsteady Heat Flow in Nonhomogenous Material with a New Proposal of Finding the Good Value of RBF's Shape Parameter. [PDF]
Materials (Basel), 2021 Popczyk O, Dziatkiewicz G.
europepmc +1 more source
Analytical Particular Solutions of Multiquadrics Associated with Polyharmonic Operators [PDF]
Mathematical Problems in Engineering, 2013 We derive two- and three-dimensional analytical particular solutions of multiquadrics (MQ) associated with the polyharmonic operators, named as the polyharmonic multiquadrics (PMQs). The methods of undetermined coefficients are constructed by observing the first few orders of the PMQs which are obtained by the symbolic software,Mathematica.
openaire +2 more sources
Shape preserving fractal multiquadric quasi-interpolation
Computational and Applied MathematicsAbstractIn this article, we construct a novel self-referential fractal multiquadric function which is symmetric about the origin. The scaling factors are suitably restricted to preserve the differentiability and the convexity of the underlying classical multiquadric function. Based on the translates of a fractal multiquadric function defined on a grid,
D. Kumar +2 more
openaire +2 more sources
Temperature Field Reconstruction Method for Acoustic Tomography Based on Multi-Dictionary Learning. [PDF]
Sensors (Basel), 2022 Wei Y, Yan H, Zhou Y.
europepmc +1 more source