Efficient least squares approximation and collocation methods using radial basis functions
Fuente:
arXiv
Saved in:
| Main Authors: | Zhou, Yiqing, Huybrechs, Daan |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Proving the stability estimates of variational least-squares Kernel-Based methods
by: Chen, Meng, et al.
Published: (2023)
by: Chen, Meng, et al.
Published: (2023)
Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems
by: Bucelli, Michele, et al.
Published: (2024)
by: Bucelli, Michele, et al.
Published: (2024)
On the algorithmic construction of deep ReLU networks
by: Huybrechs, Daan
Published: (2025)
by: Huybrechs, Daan
Published: (2025)
Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
by: Hiemstra, Rene, et al.
Published: (2023)
by: Hiemstra, Rene, et al.
Published: (2023)
Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions
by: Mohammadi, Maryam, et al.
Published: (2025)
by: Mohammadi, Maryam, et al.
Published: (2025)
Unisolvence of unsymmetric random Kansa collocation by Gaussians and other analytic RBF vanishing at infinity
by: Sommariva, Alvise, et al.
Published: (2024)
by: Sommariva, Alvise, et al.
Published: (2024)
Towards provable energy-stable overset grid methods using sub-cell summation-by-parts operators
by: Glaubitz, Jan, et al.
Published: (2025)
by: Glaubitz, Jan, et al.
Published: (2025)
Multivariate rational approximation of functions with curves of singularities
by: Boullé, Nicolas, et al.
Published: (2023)
by: Boullé, Nicolas, et al.
Published: (2023)
Convergence of a least-squares splitting method for the Monge-Ampère equation
by: Peruso, Anna, et al.
Published: (2026)
by: Peruso, Anna, et al.
Published: (2026)
Global convergence of adaptive least-squares finite element methods for nonlinear PDEs
by: Bringmann, Philipp, et al.
Published: (2025)
by: Bringmann, Philipp, et al.
Published: (2025)
An entropy-based approach for a robust least squares spline approximation
by: Brugnano, Luigi, et al.
Published: (2023)
by: Brugnano, Luigi, et al.
Published: (2023)
Inverse inequalities for kernel-based approximation on bounded domains and Riemannian manifolds
by: Sun, Zhengjie, et al.
Published: (2025)
by: Sun, Zhengjie, et al.
Published: (2025)
Exponential Runge-Kutta methods of collocation type for parabolic equations with time-dependent delay
by: Huang, Qiumei, et al.
Published: (2025)
by: Huang, Qiumei, et al.
Published: (2025)
Hyperbolic trigonometric functions as approximation kernels and their properties II: Wavelets
by: Buhmann, M., et al.
Published: (2025)
by: Buhmann, M., et al.
Published: (2025)
Function Approximation in Numerically Rank-Deficient Bases
by: Herremans, Astrid, et al.
Published: (2025)
by: Herremans, Astrid, et al.
Published: (2025)
On the use of the principle of maximum entropy to improve the robustness of bivariate spline least-squares approximation
by: Amodio, Pierluigi, et al.
Published: (2025)
by: Amodio, Pierluigi, et al.
Published: (2025)
Numerical Aspects of the Tensor Product Multilevel Method for High-dimensional, Kernel-based Reconstruction on Sparse Grids
by: Büttner, Markus, et al.
Published: (2025)
by: Büttner, Markus, et al.
Published: (2025)
The non-intrusive reduced basis two-grid method applied to sensitivity analysis
by: Grosjean, Elise, et al.
Published: (2023)
by: Grosjean, Elise, et al.
Published: (2023)
Optimal convergence rates in $L^2$ for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditions
by: Bernkopf, Maximilian, et al.
Published: (2024)
by: Bernkopf, Maximilian, et al.
Published: (2024)
Summation-by-parts operators for general function spaces: optimal nodes
by: Hale, Nicholas, et al.
Published: (2026)
by: Hale, Nicholas, et al.
Published: (2026)
Underdetermined Fourier Extensions for Surface Partial Differential Equations
by: Venn, Daniel R., et al.
Published: (2024)
by: Venn, Daniel R., et al.
Published: (2024)
Why summation by parts is not enough
by: Glaubitz, Jan, et al.
Published: (2026)
by: Glaubitz, Jan, et al.
Published: (2026)
Rank of Matrices Arising out of Singular Kernel Functions
by: Singh, Sumit, et al.
Published: (2025)
by: Singh, Sumit, et al.
Published: (2025)
IMEX-RB: a self-adaptive implicit-explicit time integration scheme exploiting the reduced basis method
by: Bassanini, Micol, et al.
Published: (2025)
by: Bassanini, Micol, et al.
Published: (2025)
Error bounds for function approximation using generated sets
by: Cools, Ronald, et al.
Published: (2025)
by: Cools, Ronald, et al.
Published: (2025)
A fast algorithm for computing the Boys function
by: Beylkin, Gregory, et al.
Published: (2021)
by: Beylkin, Gregory, et al.
Published: (2021)
H(curl)-based approximation of the Stokes problem with weakly enforced no-slip boundary conditions
by: Boon, Wietse M., et al.
Published: (2025)
by: Boon, Wietse M., et al.
Published: (2025)
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)
by: Hicken, Jason
Published: (2026)
Comparative study on higher order compact RBF-FD formulas with Gaussian and Multiquadric radial functions
by: Yadav, Manoj Kumar, et al.
Published: (2024)
by: Yadav, Manoj Kumar, et al.
Published: (2024)
Extending Data to Improve Stability and Error Estimates Using Asymmetric Kansa-like Methods to Solve PDEs
by: Hangelbroek, Thomas, et al.
Published: (2025)
by: Hangelbroek, Thomas, et al.
Published: (2025)
High-Order Meshfree Surface Integration, Including Singular Integrands
by: Venn, Daniel R., et al.
Published: (2025)
by: Venn, Daniel R., et al.
Published: (2025)
Hybridizable discontinuous Galerkin methods for poroelastic wave propagation with symmetric stress approximation
by: Lee, Jeonghun J., et al.
Published: (2026)
by: Lee, Jeonghun J., et al.
Published: (2026)
A Modified Hermite Radial Basis Function for Accurate Interpolation
by: Fashamiha, Amirhossein, et al.
Published: (2025)
by: Fashamiha, Amirhossein, et al.
Published: (2025)
Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs
by: Bertoluzza, Silvia, et al.
Published: (2023)
by: Bertoluzza, Silvia, et al.
Published: (2023)
A Bernoulli-barycentric rational matrix collocation method with preconditioning for a class of evolutionary PDEs
by: Luo, Wei-Hua, et al.
Published: (2024)
by: Luo, Wei-Hua, et al.
Published: (2024)
Randomized least-squares with minimal oversampling and interpolation in general spaces
by: Chkifa, Abdellah, et al.
Published: (2023)
by: Chkifa, Abdellah, et al.
Published: (2023)
Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces
by: Sun, Zhengjie, et al.
Published: (2023)
by: Sun, Zhengjie, et al.
Published: (2023)
Uniform H-matrix Compression with Applications to Boundary Integral Equations
by: Bruyninckx, Kobe, et al.
Published: (2024)
by: Bruyninckx, Kobe, et al.
Published: (2024)
A high order correction to the Lax-Friedrich's method for approximating stationary Hamilton-Jacobi equations
by: Lewis, T., et al.
Published: (2025)
by: Lewis, T., et al.
Published: (2025)
Summation-by-parts operators for general function spaces: The second derivative
by: Glaubitz, Jan, et al.
Published: (2023)
by: Glaubitz, Jan, et al.
Published: (2023)
Similar Items
-
Proving the stability estimates of variational least-squares Kernel-Based methods
by: Chen, Meng, et al.
Published: (2023) -
Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems
by: Bucelli, Michele, et al.
Published: (2024) -
On the algorithmic construction of deep ReLU networks
by: Huybrechs, Daan
Published: (2025) -
Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
by: Hiemstra, Rene, et al.
Published: (2023) -
Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions
by: Mohammadi, Maryam, et al.
Published: (2025)