The golden section search algorithm for finding a good shape parameter for meshless collocation methods
From MaRDI portal
Publication:441647
DOI10.1016/j.enganabound.2010.03.003zbMath1244.65194OpenAlexW2119719851MaRDI QIDQ441647
Publication date: 7 August 2012
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.03.003
Related Items (29)
A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory ⋮ A one-stage meshless method for nonhomogeneous Cauchy problems of elliptic partial differential equations with variable coefficients ⋮ A new approach based on the genetic algorithm for finding a good shape parameter in solving partial differential equations by Kansa's method ⋮ Inverse modeling of a solar collector involving Fourier and non-Fourier heat conduction ⋮ A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals ⋮ A global particular solution meshless approach for the four-sided lid-driven cavity flow problem in the presence of magnetic fields ⋮ Generalized finite difference method for solving two-dimensional inverse Cauchy problems ⋮ Extending meshless method of approximate particular solutions (MAPS) to two-dimensional convection heat transfer problems. ⋮ A trustable shape parameter in the kernel-based collocation method with application to pricing financial options ⋮ Post-boosting of classification boundary for imbalanced data using geometric mean ⋮ $H^2$-Convergence of Least-Squares Kernel Collocation Methods ⋮ An improved local radial basis function collocation method based on the domain decomposition for composite wall ⋮ Application of variational mesh generation approach for selecting centers of radial basis functions collocation method ⋮ The numerical study on the unsteady flow of gas in a semi-infinite porous medium using an RBF collocation method ⋮ The LMAPS Using Polynomial Basis Functions for Near-Singular Problems ⋮ A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains ⋮ Selection of an interval for variable shape parameter in approximation by radial basis functions ⋮ Quantum-like mutation-induced dragonfly-inspired optimization approach ⋮ The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method ⋮ The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition ⋮ The localized method of approximated particular solutions for near-singular two- and three-dimensional problems ⋮ An improved localized method of approximate particular solutions for solving elliptic PDEs ⋮ A radial basis function (RBF)-finite difference (FD) method for the backward heat conduction problem ⋮ Unnamed Item ⋮ RBFs meshless method of lines for time-dependent PDEs with decomposition of interior and boundary data centers ⋮ A Fast Block-Greedy Algorithm for Quasi-optimal Meshless Trial Subspace Selection ⋮ Dynamic node adaptive strategy for nearly singular problems on large domains ⋮ Exponential convergence for numerical solution of integral equations using radial basis functions ⋮ Educating local radial basis functions using the highest gradient of interest in three dimensional geometries
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Applicability of the method of fundamental solutions
- The role of the multiquadric shape parameters in solving elliptic partial differential equations
- On convergent numerical algorithms for unsymmetric collocation
- The method of fundamental solutions for elliptic boundary value problems
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Results on meshless collocation techniques
- Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- ADAPTIVE METHOD OF PARTICULAR SOLUTION FOR SOLVING 3D INHOMOGENEOUS ELLIPTIC EQUATIONS
- An improved subspace selection algorithm for meshless collocation methods
- A computational method for inverse free boundary determination problem
- Stable and Convergent Unsymmetric Meshless Collocation Methods
- Radial Basis Functions
- A Revisit on the Derivation of the Particular Solution for the Differential Operator ∆<sup>2</sup> ± λ<sup>2</sup>
- Sequential Minimax Search for a Maximum
This page was built for publication: The golden section search algorithm for finding a good shape parameter for meshless collocation methods