Collocation method for one dimensional nonlocal diffusion equations
DOI10.1002/num.22826OpenAlexW3191922162WikidataQ115397300 ScholiaQ115397300MaRDI QIDQ6069461
Qingguang Guan, Max D. Gunzburger, Xiaoping Zhang
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22826
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical integration (65D30) Singularity in context of PDEs (35A21)
Cites Work
- Stability and convergence of time-stepping methods for a nonlocal model for diffusion
- A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model
- Image recovery via nonlocal operators
- Continuous and discontinuous finite element methods for a peridynamics model of mechanics
- A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model
- On diagonal dominance arguments for bounding \(\| A^{-1}\|_\infty\)
- On the notion of the finite part of divergent integrals in integral equations
- \(\theta\) schemes for finite element discretization of the space-time fractional diffusion equations
- A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models
- A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
- Nonlocal Operators with Applications to Image Processing
- Nonlocal Linear Image Regularization and Supervised Segmentation
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs
- Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion
- Image Denoising Methods. A New Nonlocal Principle
- Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
- Stability and accuracy of time‐stepping schemes and dispersion relations for a nonlocal wave equation
- Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
- Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations
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