A compact radial basis function partition of unity method
DOI10.1016/j.camwa.2022.09.029OpenAlexW4301180262MaRDI QIDQ2107153
Publication date: 1 December 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.09.029
partial differential equations (PDEs)radial basis function (RBF)partition of unity (PU)RBF-FDgeneralized interpolationcompact formulasHermit-Birkhoff interpolation
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Algorithms for approximation of functions (65D15)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable calculation of Gaussian-based RBF-FD stencils
- A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
- Positive constrained approximation via RBF-based partition of unity method
- Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
- An alternative procedure for selecting a good value for the parameter \(c\) in RBF-interpolation
- Stable computations with flat radial basis functions using vector-valued rational approximations
- On using radial basis functions in a ``finite difference mode with applications to elasticity problems
- Radial basis function partition of unity operator splitting method for pricing multi-asset American options
- Convergence order estimates of meshless collocation methods using radial basis functions
- Compact finite difference schemes with spectral-like resolution
- Solving partial differential equations by collocation using radial basis functions
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- The overlapped radial basis function-finite difference (RBF-FD) method: a generalization of RBF-FD
- Optimal selection of local approximants in RBF-PU interpolation
- Fast and stable rational RBF-based partition of unity interpolation
- Leave-two-out cross validation to optimal shape parameter in radial basis functions
- Adaptive meshless refinement schemes for RBF-PUM collocation
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Essentially compact schemes for unsteady viscous incompressible flows
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels
- A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
- Radial basis function partition of unity methods for pricing vanilla basket options
- Efficient computation of partition of unity interpolants through a block-based searching technique
- A stochastic extended Rippa's algorithm for LpOCV
- The extension of Rippa's algorithm beyond LOOCV
- A rational RBF interpolation with conditionally positive definite kernels
- Unsymmetric meshless methods for operator equations
- Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme
- A weak-form RBF-generated finite difference method
- RBF-LOI: augmenting radial basis functions (RBFs) with least orthogonal interpolation (LOI) for solving PDEs on surfaces
- Partition of unity interpolation using stable kernel-based techniques
- A new stable basis for radial basis function interpolation
- On choosing ``optimal shape parameters for RBF approximation
- Scattered node compact finite difference-type formulas generated from radial basis functions
- Error bounds for kernel-based numerical differentiation
- Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions
- Stable Evaluation of Gaussian Radial Basis Function Interpolants
- Stable Computations with Gaussian Radial Basis Functions
- Meshless Collocation: Error Estimates with Application to Dynamical Systems
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- Scattered Data Interpolation: Tests of Some Method
- Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions
- Error Analysis of Nodal Meshless Methods
- A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs
- On the Construction of Kernel-Based Adaptive Particle Methods in Numerical Flow Simulation
- Optimal stencils in Sobolev spaces
- A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds
- Solving PDEs with radial basis functions
- A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces
- Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods
- The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs
- Scattered Data Approximation
This page was built for publication: A compact radial basis function partition of unity method