Adriani, Andrea; Sormani, Rosita L.; Tablino-Possio, Cristina; Krause, Rolf; Serra-Capizzano, Stefano Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with fractional Laplacian and variable coefficient wave number \(\mu \). (English) Zbl 07979693 Linear Algebra Appl. 708, 551-584 (2025). MSC: 65F08 35R11 65N22 15A18 47B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
She, Zi-Hang; Wen, Yong-Qi; Qiu, Yi-Feng; Gu, Xian-Ming Unconditionally convergent \(\tau\) splitting iterative methods for variable coefficient Riesz space fractional diffusion equations. (English) Zbl 07901134 Appl. Math. Lett. 158, Article ID 109252, 7 p. (2024). MSC: 65Fxx 65Mxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xue-Lei; Ng, Michael K. A \(\tau\)-preconditioner for space fractional diffusion equation with non-separable variable coefficients. (English) Zbl 1545.65341 J. Sci. Comput. 100, No. 1, Paper No. 28, 34 p. (2024). MSC: 65M06 35R11 65F08 65F10 65M12 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hon, Sean; Fung, Po Yin; Dong, Jiamei; Serra-Capizzano, Stefano A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs. (English) Zbl 1535.65040 Numer. Algorithms 95, No. 4, 1769-1799 (2024). MSC: 65F08 65F10 15B05 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Yuan-Yuan; Qu, Wei; Lei, Siu-Long On \(\tau\)-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations. (English) Zbl 1538.65246 Comput. Math. Appl. 145, 124-140 (2023). MSC: 65M06 65N06 35R11 65M12 65F08 65F10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Yao-Yuan; Sun, Hai-Wei; Tam, Sik-Chung Numerical study of a fast two-level Strang splitting method for spatial fractional Allen-Cahn equations. (English) Zbl 07698931 J. Sci. Comput. 95, No. 3, Paper No. 71, 23 p. (2023). MSC: 65Mxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI