Solving Partial Differential Equations with Multiscale Radial Basis Functions
DOI10.1007/978-3-319-72456-0_55zbMath1407.65303OpenAlexW2804503629MaRDI QIDQ4611848
Publication date: 22 January 2019
Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-72456-0_55
elliptic partial differential equationsGalerkin approximationcollocation approximationmultiscale radial basis functions
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A mixed method for Dirichlet problems with radial basis functions
- Data compression on the sphere using multiscale radial basis function approximation
- Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere
- Multiscale RBF collocation for solving PDEs on spheres
- Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains
- Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1
- Multiscale analysis in Sobolev spaces on bounded domains
- Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions
- On the stability of meshless symmetric collocation for boundary value problems
- Convergence order estimates of meshless collocation methods using radial basis functions
- Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels
- Solving partial differential equations by collocation using radial basis functions
- Error bounds for solving pseudodifferential equations on spheres by collocation with zonal kernels
- Error estimates for multilevel approximation using polyharmonic splines
- Multilevel compact radial functions based computational schemes for some elliptic problems
- Multiscale interpolation on the sphere: convergence rate and inverse theorem
- Multistep scattered data interpolation using compactly supported radial basis functions
- Multilevel interpolation and approximation
- On unsymmetric collocation by radial basis functions
- Compactly supported positive definite radial functions
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Solving differential equations with radial basis functions: Multilevel methods and smoothing
- Zooming from global to local: a multiscale RBF approach
- Multiscale analysis in Sobolev spaces on bounded domains with zero boundary values
- RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems
- Multiscale Analysis in Sobolev Spaces on the Sphere
- Kernel techniques: From machine learning to meshless methods
- Meshless Collocation: Error Estimates with Application to Dynamical Systems
- Radial Basis Functions
- Multiscale methods with compactly supported radial basis functions for elliptic partial differential equations on bounded domains
- Multilevel interpolation of divergence-free vector fields
- Multiscale support vector regression method in Sobolev spaces on bounded domains
- Solving PDEs with radial basis functions
- Multiscale methods with compactly supported radial basis functions for Galerkin approximation of elliptic PDEs
- Scattered Data Approximation
This page was built for publication: Solving Partial Differential Equations with Multiscale Radial Basis Functions
