An investigation of global radial basis function collocation methods applied to Helmholtz problems (Q6555450)

scientific article; zbMATH DE number 7865276

Language	Label	Description	Also known as
English	An investigation of global radial basis function collocation methods applied to Helmholtz problems	scientific article; zbMATH DE number 7865276

Statements

instance of

scholarly article

0 references

title

An investigation of global radial basis function collocation methods applied to Helmholtz problems (English)

0 references

0 references

0 references

Dolomites Research Notes on Approximation

0 references

publication date

14 June 2024

0 references

MaRDI profile type

Publication

0 references

cites work

The numerical solution of the Helmholtz equation for wave propagation problems in underwater acoustics

0 references

On certain configurations of points in \(\mathbb{R}{}^ n\) which are unisolvent for polynomial interpolation

0 references

Spectral convergence of multiquadric interpolation

0 references

An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains

0 references

Exponential convergence andH-c multiquadric collocation method for partial differential equations

0 references

On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation

0 references

Interpolation in the limit of increasingly flat radial basis functions

0 references

Q4938081

0 references

Q3446085

0 references

On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy

0 references

A Primer on Radial Basis Functions with Applications to the Geosciences

0 references

Stable Computations with Gaussian Radial Basis Functions

0 references

Stable calculation of Gaussian-based RBF-FD stencils

0 references

A Stable Algorithm for Flat Radial Basis Functions on a Sphere

0 references

Stable computation of multiquadric interpolants for all values of the shape parameter

0 references

Solving partial differential equations by collocation using radial basis functions

0 references

Q4002454

0 references

On unsymmetric collocation by radial basis functions

0 references

Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

0 references

Worst-case optimal approximation with increasingly flat Gaussian kernels

0 references

Exact non-reflecting boundary conditions

0 references

A numerical study of some radial basis function based solution methods for elliptic PDEs

0 references

Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions

0 references

A Domain Decomposition Method for the Helmholtz Equation in a Multilayer Domain

0 references

Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions

0 references

A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs

0 references

On convergence of flat multivariate interpolation by translation kernels with finite smoothness

0 references

A study on multivariate interpolation by increasingly flat kernel functions

0 references

Convergence of Increasingly Flat Radial Basis Interpolants to Polynomial Interpolants

0 references

A new radial basis function for Helmholtz problems

0 references

Stable and Convergent Unsymmetric Meshless Collocation Methods

0 references

Miscellaneous error bounds for multiquadric and related interpolators

0 references

An estimate for multivariate interpolation. II

0 references

Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation

0 references

A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels

0 references

Iterative Solution of the Helmholtz Equation by a Second-Order Method

0 references

Eigenvalue stability of radial basis function discretizations for time-dependent problems

0 references

Polynomials and Potential Theory for Gaussian Radial Basis Function Interpolation

0 references

Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples

0 references

Q3975850

0 references

Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning

0 references

Improved exponential convergence rates by oversampling near the boundary

0 references

An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation

0 references

Multivariate interpolation by polynomials and radial basis functions

0 references

Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods

0 references

Limit problems for interpolation by analytic radial basis functions

0 references

All well-posed problems have uniformly stable and convergent discretizations

0 references

Radial basis function partition of unity methods for pricing vanilla basket options

0 references

Multivariate interpolation with increasingly flat radial basis functions of finite smoothness

0 references

Symmetric radial basis function method for simulation of elliptic partial differential equations

0 references

Stable computations with flat radial basis functions using vector-valued rational approximations

0 references

Q4018018

0 references

Local error estimates for radial basis function interpolation of scattered data

0 references

Doubly stochastic radial basis function methods

0 references

Identifiers

zbMATH Open document ID

1540.65421

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.14658/PUPJ-DRNA-2020-1-8

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6555450