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
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
Use of Multiquadric Interpolation for Meteorological Objective Analysis
Monthly Weather Review, 1994 Abstract The method of multiquadric interpolation is described and compared to the Barnes and Cressman methods of meteorological objective analysis. The method of multiquadric interpolation uses hyperboloid radial basis functions to fit scattered data to a uniform grid.
Nuss, Wendell A., Titley, David W.
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,
Kumar, D. +2 more
openaire +2 more sources
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
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
Minimax Estimation of Kernel Mean Embeddings
, 2017 In this paper, we study the minimax estimation of the Bochner integral $$\mu_k(P):=\int_{\mathcal{X}} k(\cdot,x)\,dP(x),$$ also called as the kernel mean embedding, based on random samples drawn i.i.d.~from $P$, where $k:\mathcal{X}\times\mathcal{X ...
Muandet, Krikamol +2 more
core
Solving Non-smooth Delay Differential Equations with Multiquadrics [PDF]
, 2012 Proceeding of: 16th Conference of the European Consortium for Mathematics in Industry (ECMI 2010), Wuppertal, Germany, Wuppertal, from July 26 to July 30, 2010. We put forward a discretization scheme for the numerical solution of neutral differential equations (NDEs).
openaire +2 more sources
, 2018 In this paper, we study the benefits of using polyharmonic splines and node layouts with smoothly varying density for developing robust and efficient radial basis function generated finite difference (RBF-FD) methods for pricing of financial derivatives.
Milovanović, Slobodan
core
Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method. [PDF]
Entropy (Basel), 2020 Chen SB +6 more
europepmc +1 more source