Cusimano, Nicole; Gizzi, A.; Fenton, Flavio H.; Filippi, S.; Gerardo-Giorda, L. Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study. (English) Zbl 1451.92083 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105152, 22 p. (2020). MSC: 92C30 92-10 PDFBibTeX XMLCite \textit{N. Cusimano} et al., Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105152, 22 p. (2020; Zbl 1451.92083) Full Text: DOI
Cusimano, Nicole; Del Teso, Félix; Gerardo-Giorda, Luca Numerical approximations for fractional elliptic equations via the method of semigroups. (English) Zbl 1452.35237 ESAIM, Math. Model. Numer. Anal. 54, No. 3, 751-774 (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 35R11 35S15 65R20 65N15 65N25 41A55 26A33 35J25 PDFBibTeX XMLCite \textit{N. Cusimano} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 3, 751--774 (2020; Zbl 1452.35237) Full Text: DOI arXiv
Cusimano, N.; Gerardo-Giorda, L. A space-fractional monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries. (English) Zbl 1390.92037 J. Comput. Phys. 362, 409-424 (2018). MSC: 92C30 65M60 35R11 PDFBibTeX XMLCite \textit{N. Cusimano} and \textit{L. Gerardo-Giorda}, J. Comput. Phys. 362, 409--424 (2018; Zbl 1390.92037) Full Text: DOI Link
Cusimano, Nicole; del Teso, Félix; Gerardo-Giorda, Luca; Pagnini, Gianni Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions. (English) Zbl 1468.65138 SIAM J. Numer. Anal. 56, No. 3, 1243-1272 (2018). MSC: 65M60 26A33 35R11 47G20 65M15 PDFBibTeX XMLCite \textit{N. Cusimano} et al., SIAM J. Numer. Anal. 56, No. 3, 1243--1272 (2018; Zbl 1468.65138) Full Text: DOI arXiv