Finite integration method with radial basis function for solving stiff problems

DOI10.1016/j.enganabound.2017.03.015zbMath1402.65051OpenAlexW2621757665MaRDI QIDQ1655873

Yan Li, Benny Y. C. Hon

Publication date: 10 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.03.015

zbMATH Keywords

radial basis functionstiff problemsshape parameterfinite integration method

Mathematics Subject Classification ID

Numerical methods for stiff equations (65L04)

Related Items (7)

An integration preconditioning method for solving option pricing problems ⋮ Generalized finite integration method with space-time decomposition technique for solving high dimensional option pricing models ⋮ Generalized finite integration method for solving multi-dimensional partial differential equations ⋮ Dynamic large deformation analysis of a cantilever beam ⋮ Generalized finite integration method with Volterra operator for multi-dimensional biharmonic equations ⋮ Finite and infinite block Petrov-Galerkin method for cracks in functionally graded materials ⋮ Large deformations of tapered beam with finite integration method

Cites Work

• Unnamed Item
• Unnamed Item
• A multiresolution prewavelet-based adaptive refinement scheme for RBF approximations of nearly singular problems
• Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation
• The mystery of the shape parameter. III
• Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
• An efficient numerical scheme for Burger equation
• Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
• Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
• Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients -- forward collocation with finite integration method
• Improved finite integration method for partial differential equations
• Finite integration method for partial differential equations
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• The localized method of approximated particular solutions for near-singular two- and three-dimensional problems
• Finite integration method for nonlocal elastic bar under static and dynamic loads
• On choosing ``optimal shape parameters for RBF approximation
• The shape parameter in the shifted surface spline. III.
• Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
• A Fast Adaptive Wavelet Scheme in RBF Collocation for Nearly Singular Potential PDEs
• Generating exact solutions of the two-dimensional Burgers' equations
• Local error estimates for radial basis function interpolation of scattered data
• Spectral convergence of multiquadric interpolation
• The Numerical Solution of Integral Equations of the Second Kind
• Radial basis functions for solving near singular Poisson problems

This page was built for publication: Finite integration method with radial basis function for solving stiff problems