Cover Image

Error analysis of a collocation method on graded meshes for nonlocal diffusion problems with weakly singular kernels

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Minghua, Min, Chao, Shi, Jiankang, Wang, Jizeng
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Second-order method on graded meshes for fractional Laplacian via Riesz fractional derivative with a singular source term
by: Chen, Minghua, et al.
Published: (2025)

Supercloseness of the DDG method for a singularly perturbed convection diffusion problem on Shishkin mesh
by: Ma, Xiaoqi, et al.
Published: (2024)

Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations
by: Kopteva, Natalia
Published: (2024)

A Müntz-collocation spectral method for weakly singular Volterra delay-integro-differential equations
by: Zhao, Borui
Published: (2024)

Supercloseness of the HDG method on Shishkin mesh for a singularly perturbed convection diffusion problem in 2D
by: Ma, Xiaoqi, et al.
Published: (2024)

Convergence analysis of a weak Galerkin finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion equation in 2D
by: Liu, Shicheng, et al.
Published: (2024)

Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D
by: Liu, Shicheng, et al.
Published: (2023)

Error analysis of some nonlocal diffusion discretization schemes
by: Galiano, Gonzalo
Published: (2021)

Correction of weighted and shifted seven-step BDF for parabolic equations with nonsmooth data
by: Chen, Minghua, et al.
Published: (2025)

hp-discontinuous Galerkin method for the generalized Burgers-Huxley equation with weakly singular kernels
by: Mahajan, Sumit, et al.
Published: (2024)

On some nonlocal, nonlinear diffusion problems
by: Chipot, M. M., et al.
Published: (2026)

High-order BDF convolution quadrature for stochastic fractional evolution equations driven by integrated additive noise
by: Chen, Minghua, et al.
Published: (2024)

A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization
by: Ju, Lili, et al.
Published: (2024)

Convergence analysis of the adaptive stochastic collocation finite element method
by: Bespalov, Alex, et al.
Published: (2024)

On the implementation of linear finite element method for nonlocal diffusion model over 2D domain
by: Shi, Zuoqiang
Published: (2024)

Adapted Lie splitting method for convection-diffusion problems with singular convective term
by: Dang, Thi Tam, et al.
Published: (2024)

An efficient and stable diffusion generated method for quadrilateral mesh generation in general domains
by: Dai, Jingwen, et al.
Published: (2026)

New RBF collocation methods and kernel RBF with applications
by: Chen, W.
Published: (2001)

Finite element analysis of a spectral problem on curved meshes occurring in diffusion with high order boundary conditions
by: Caubet, Fabien, et al.
Published: (2024)

Uniform error analysis of a rectangular Morley finite element method on a Shishkin mesh for a 4th-order singularly perturbed boundary value problem
by: Meng, Xiangyun, et al.
Published: (2025)

A unifying moving mesh method for curves, surfaces, and domains based on mesh equidistribution and alignment
by: Zhang, Min, et al.
Published: (2025)

A posteriori error estimates for the Generalized Burgers-Huxley equation with weakly singular kernels
by: Mahajan, Sumit, et al.
Published: (2024)

Hybrid weakly over-penalised symmetric interior penalty method on anisotropic meshes
by: Ishizaka, Hiroki
Published: (2024)

A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
by: Liu, Shicheng, et al.
Published: (2025)

An alternating learning-based collocation method for solving inverse elliptic problems
by: Kong, Zhizhong, et al.
Published: (2026)

Automatically well-conditioned collocation boundary element method for transmission problems based on the Burton--Miller formulation
by: Matsumoto, Yasuhiro, et al.
Published: (2023)

Multinode Shepard collocation method for pricing of financial derivatives
by: Dell'Accio, Francesco, et al.
Published: (2025)

Numerical analysis and efficient implementation of fast collocation methods for fractional Laplacian model on nonuniform grids
by: Kong, Meijie, et al.
Published: (2025)

Nonlocal modeling of spatial fractional diffusion with truncated interaction domains and truncated kernel function singularity
by: Zhou, Shiping, et al.
Published: (2025)

Convergence of meshfree collocation methods for fully nonlinear parabolic equations
by: Nakano, Yumiharu
Published: (2014)

Euler-Maruyama approximation for stochastic fractional neutral integro-differential equations with weakly singular kernel
by: Asadzade, Javad A., et al.
Published: (2024)

Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition
by: Meng, Yanzun, et al.
Published: (2023)

Continuum-marginal optimal transport: a mesh-free kernel method
by: Nakano, Yumiharu
Published: (2026)

Mapped Hermite Functions and their applications to two-dimensional weakly singular Fredholm-Hammerstein integral equations
by: Wang, Min, et al.
Published: (2024)

A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems
by: Peng, Jie, et al.
Published: (2025)

Note on a weakly over-penalised symmetric interior penalty method on anisotropic meshes for the Poisson equation, Ver. 1
by: Ishizaka, Hiroki
Published: (2024)

A posteriori error analysis of a space-time hybridizable discontinuous Galerkin method for the advection-diffusion problem
by: Wang, Yuan, et al.
Published: (2024)

The eXtended Virtual Element Method for elliptic problems with weakly singular solutions
by: Droniou, Jerome, et al.
Published: (2024)

Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind
by: Okayama, Tomoaki
Published: (2023)

$hp$-Version space-time discontinuous Galerkin methods for parabolic problems on prismatic meshes
by: Cangiani, Andrea, et al.
Published: (2016)