Results 21 to 30 of about 2,738 (206)

On the reconstruction of discontinuous functions using multiquadric RBF–WENO local interpolation techniques [PDF]

Mathematics and Computers in Simulation, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aràndiga, Francesc, Donat, Rosa, Romani, Lucia, Rossini, Milvia   +3 more
openaire   +4 more sources

Explicit Runge-Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions

International Journal of Computational Methods
In this article, a family of two- and three-stage explicit multiquadric (MQ) and inverse multiquadric (IMQ) radial basis functions (RBFs) Runge-Kutta methods are introduced for solving ordinary differential equations. These methods are developed by utilizing MQ- and IMQ-RBF Euler methods.
Mahata, Shipra, Rathan, Samala
openaire   +3 more sources

Moving-boundary problems solved by adaptive radial basis functions [PDF]

, 2010
The objective of this paper is to present an alternative approach to the conventional level set methods for solving two-dimensional moving-boundary problems known as the passive transport. Moving boundaries are associated with time-dependent problems and
Atluri, Cecil, Crank, E.J. Kansa, F. Runovc, Fasshauer, Fornberg, G. Turk, Gang, Greenberg, Hardy, Hill, Javierre, Kansa, Kansa, Kansa, Kwok, L. Ling, L. Vrankar, Lee, Libre, Ling, Ling, Ling, Ling, Ling, Ling, Liu, Mai-Cao, Mai-Duy, Osher, Osher, Salih, Sethian, Tsai, Vrankar, Vrankar, Wang, Wang, Wang, Wang, Wendland, Šarler   +42 more
core   +2 more sources

Quantification of airfoil geometry-induced aerodynamic uncertainties - comparison of approaches [PDF]

, 2016
Uncertainty quantification in aerodynamic simulations calls for efficient numerical methods since it is computationally expensive, especially for the uncertainties caused by random geometry variations which involve a large number of variables. This paper
Litvinenko, Alexander, Liu, Dishi, Schillings, Claudia, Schulz, Volker   +3 more
core   +2 more sources

A Meshfree Approach for Bending Analysis of Porous Rectangular FGM Plate Resting on Elastic Foundation [PDF]

Mechanics of Advanced Composite Structures, 2022
This study explores the bending analysis of porous functionally graded material (FGM) rectangular plate resting on two parameters elastic foundation based on the higher-order shear deformation theory (HSDT) and subjected to various types of transverse ...
Rahul Kumar, Chandan Kumar, Mukesh Singh, Jay Damania, Jigyasa Singh, Jeeoot Singh   +5 more
doaj   +1 more source

Generalized-Multiquadric Radial Basis Function Neural Networks (RBFNs) with Variable Shape Parameters for Function Recovery [PDF]

, 2021
After being introduced to approximate two-dimensional geographical surfaces in 1971, the multivariate radial basis functions (RBFs) have been receiving a great amount of attention from scientists and engineers. In 1987 the idea was extended into the construction of neural networks corresponding to the beginning of the era of artificial intelligence ...
Kaennakham, Sayan, Paewpolsong, Pichapop, Sriapai, Natdanai, Tavaen, Sunisa   +3 more
openaire   +1 more source

A heterogeneous lattice structure modeling technique supported by multiquadric radial basis function networks [PDF]

Journal of Computational Design and Engineering, 2021
ABSTRACTWith the rapid advancement of the multimaterial additive manufacturing (AM) technology, the heterogeneous lattice structures (HLSs) comprising the multiphase materials with gradual variations have become feasible and accessible to the industry.
Yuan Liu, Huiyuan Yang, Yaoyao Fiona Zhao, Guolei Zheng   +3 more
openaire   +1 more source

Meshless method for the numerical solution of the Fokker–Planck equation

Ain Shams Engineering Journal, 2015
In this paper numerical meshless method for solving Fokker–Planck equation is considered. This meshless method is based on multiquadric radial basis function and collocation method to approximate the solution.
Maysam Askari, Hojatollah Adibi
doaj   +1 more source

BEM for transient 2D elastodynamics using multiquadric functions

International Journal of Solids and Structures, 2007
AbstractA new boundary element model for transient dynamic analysis of 2D structures is presented. The dual reciprocity method (DRM) is reformulated for the 2D elastodynamics by using the multiquadric radial basis functions (MQ). The required kernels for displacement and traction particular solutions are derived.
Samaan, Morcos F., Rashed, Youssef F.
openaire   +1 more source

Meshless method for delay partial differential equations with piecewise continuous arguments

上海师范大学学报. 自然科学版, 2020
We consider a class of delay partial differential equation with piecewise continuous arguments in this paper.First, we analyze the analytical solution of the equation and give the solution in the series form.Second, we solve the numerical solution of the
ZHONG Lin, MA Shufang, JOKA Dengata-lemu
doaj   +1 more source