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
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
Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices. (English) Zbl 1516.15005 ETNA, Electron. Trans. Numer. Anal. 58, 136-163 (2023). MSC: 15A18 15B05 34L20 65N22 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Xu, Xingjian; Chen, Minghua Discovery of subdiffusion problem with noisy data via deep learning. (English) Zbl 07549611 J. Sci. Comput. 92, No. 1, Paper No. 23, 24 p. (2022). MSC: 65Mxx 68Txx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weber, Ivy; Kreiss, Gunilla; Nazarov, Murtazo Stability analysis of high order methods for the wave equation. (English) Zbl 1524.65611 J. Comput. Appl. Math. 404, Article ID 113900, 20 p. (2022). MSC: 65M60 65M12 65M06 65N30 65F15 35L10 × Cite Format Result Cite Review PDF Full Text: DOI
Bianchi, Davide Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators. (English) Zbl 07380433 Calcolo 58, No. 3, Paper No. 38, 47 p. (2021). MSC: 47B35 35P05 65N99 65D25 65F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik Are the eigenvalues of the B-spline isogeometric analysis approximation of \(-\Delta u=\lambda u\) known in almost closed form? (English) Zbl 1513.65454 Numer. Linear Algebra Appl. 25, No. 5, e2198, 34 p. (2018). MSC: 65N25 65N30 65D07 65F15 65D05 65B05 15B05 35C20 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI