Huang, Weizhang; Shen, Jinye A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains. (English) Zbl 07816751 SIAM J. Sci. Comput. 46, No. 2, A744-A769 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N06 65N50 65F08 65F50 65T50 65M12 65M15 15B05 26A33 35R11 PDFBibTeX XMLCite \textit{W. Huang} and \textit{J. Shen}, SIAM J. Sci. Comput. 46, No. 2, A744--A769 (2024; Zbl 07816751) Full Text: DOI arXiv
Medvedev, Georgi S.; Simpson, Gideon A numerical method for a nonlocal diffusion equation with additive noise. (English) Zbl 1527.65006 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 4, 1433-1469 (2023). MSC: 65C30 60H15 60H35 34C15 PDFBibTeX XMLCite \textit{G. S. Medvedev} and \textit{G. Simpson}, Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 4, 1433--1469 (2023; Zbl 1527.65006) Full Text: DOI arXiv
Kaliuzhnyi-Verbovetskyi, Dmitry; Medvedev, Georgi S. Sparse Monte Carlo method for nonlocal diffusion problems. (English) Zbl 1502.65125 SIAM J. Numer. Anal. 60, No. 6, 3001-3028 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 65M60 65M75 60H15 65C05 65M12 65M15 PDFBibTeX XMLCite \textit{D. Kaliuzhnyi-Verbovetskyi} and \textit{G. S. Medvedev}, SIAM J. Numer. Anal. 60, No. 6, 3001--3028 (2022; Zbl 1502.65125) Full Text: DOI arXiv
Zuo, Hujian; Zhao, Weifeng; Lin, Ping Boundary treatment of linear multistep methods for hyperbolic conservation laws. (English) Zbl 1510.65218 Appl. Math. Comput. 425, Article ID 127079, 12 p. (2022). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{H. Zuo} et al., Appl. Math. Comput. 425, Article ID 127079, 12 p. (2022; Zbl 1510.65218) Full Text: DOI
Nan, Caixia; Song, Huailing The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation. (English) Zbl 07518106 J. Comput. Phys. 456, Article ID 111028, 19 p. (2022). MSC: 65Mxx 65Lxx 35Qxx PDFBibTeX XMLCite \textit{C. Nan} and \textit{H. Song}, J. Comput. Phys. 456, Article ID 111028, 19 p. (2022; Zbl 07518106) Full Text: DOI
Burkovska, Olena; Gunzburger, Max On a nonlocal Cahn-Hilliard model permitting sharp interfaces. (English) Zbl 1484.35352 Math. Models Methods Appl. Sci. 31, No. 9, 1749-1786 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q56 35K55 35B65 35D30 35A01 35A02 49J40 49M41 65M60 65M06 65N30 65K15 PDFBibTeX XMLCite \textit{O. Burkovska} and \textit{M. Gunzburger}, Math. Models Methods Appl. Sci. 31, No. 9, 1749--1786 (2021; Zbl 1484.35352) Full Text: DOI arXiv
Lu, Jiashu; Nie, Yufeng A collocation method based on localized radial basis functions with reproducibility for nonlocal diffusion models. (English) Zbl 1476.65343 Comput. Appl. Math. 40, No. 8, Paper No. 271, 23 p. (2021). MSC: 65R20 45K05 45A05 65N35 PDFBibTeX XMLCite \textit{J. Lu} and \textit{Y. Nie}, Comput. Appl. Math. 40, No. 8, Paper No. 271, 23 p. (2021; Zbl 1476.65343) Full Text: DOI
Ding, Ming-Hui; Zheng, Guang-Hui Determination of the reaction coefficient in a time dependent nonlocal diffusion process. (English) Zbl 1456.65092 Inverse Probl. 37, No. 2, Article ID 025005, 28 p. (2021). MSC: 65M32 65M30 65M06 35B65 35A02 44A10 76M30 76M21 35Q35 62F15 PDFBibTeX XMLCite \textit{M.-H. Ding} and \textit{G.-H. Zheng}, Inverse Probl. 37, No. 2, Article ID 025005, 28 p. (2021; Zbl 1456.65092) Full Text: DOI
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi Numerical methods for nonlocal and fractional models. (English) Zbl 07674560 Acta Numerica 29, 1-124 (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. D'Elia} et al., Acta Numerica 29, 1--124 (2020; Zbl 07674560) Full Text: DOI arXiv
Aksoylu, Burak; Celiker, Fatih; Gazonas, George A. Higher order collocation methods for nonlocal problems and their asymptotic compatibility. (English) Zbl 1449.65355 Commun. Appl. Math. Comput. 2, No. 2, 261-303 (2020). MSC: 65R20 65M12 65M70 47G10 74A70 PDFBibTeX XMLCite \textit{B. Aksoylu} et al., Commun. Appl. Math. Comput. 2, No. 2, 261--303 (2020; Zbl 1449.65355) Full Text: DOI
Tian, Xiaochuan; Du, Qiang Asymptotically compatible schemes for robust discretization of parametrized problems with applications to nonlocal models. (English) Zbl 1485.65058 SIAM Rev. 62, No. 1, 199-227 (2020). MSC: 65J10 49M25 65N30 65R20 82C21 46N40 45A05 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM Rev. 62, No. 1, 199--227 (2020; Zbl 1485.65058) Full Text: DOI
Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems. (English) Zbl 1449.65242 Commun. Appl. Math. Comput. 2, No. 1, 31-55 (2020). MSC: 65M60 65R20 45A05 PDFBibTeX XMLCite \textit{Q. Du} et al., Commun. Appl. Math. Comput. 2, No. 1, 31--55 (2020; Zbl 1449.65242) Full Text: DOI
Du, Qiang; Yin, Xiaobo A conforming DG method for linear nonlocal models with integrable kernels. (English) Zbl 1428.82037 J. Sci. Comput. 80, No. 3, 1913-1935 (2019). MSC: 82C21 65R20 74S05 46N20 45A05 65N30 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Yin}, J. Sci. Comput. 80, No. 3, 1913--1935 (2019; Zbl 1428.82037) Full Text: DOI arXiv
Du, Qiang; Ju, Lili; Lu, Jianfang Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. (English) Zbl 1419.65058 J. Sci. Comput. 78, No. 3, 1438-1466 (2019). MSC: 65M60 65R20 65L06 65L07 45A05 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Du} et al., J. Sci. Comput. 78, No. 3, 1438--1466 (2019; Zbl 1419.65058) Full Text: DOI