Uh Zapata, M.; Itza Balam, R.; Montalvo-Urquizo, J. A compact sixth-order implicit immersed interface method to solve 2D Poisson equations with discontinuities. (English) Zbl 07703869 Math. Comput. Simul. 210, 384-407 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Uh Zapata} et al., Math. Comput. Simul. 210, 384--407 (2023; Zbl 07703869) Full Text: DOI
Kumar, N. Kishore; Joshi, Shivangi Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions. (English) Zbl 1524.65294 Comput. Appl. Math. 42, No. 3, Paper No. 139, 40 p. (2023). MSC: 65L60 65L10 65L20 65N35 65-01 PDFBibTeX XMLCite \textit{N. K. Kumar} and \textit{S. Joshi}, Comput. Appl. Math. 42, No. 3, Paper No. 139, 40 p. (2023; Zbl 1524.65294) Full Text: DOI
Itza Balam, Reymundo; Uh Zapata, Miguel A fourth-order compact implicit immersed interface method for 2D Poisson interface problems. (English) Zbl 1524.65713 Comput. Math. Appl. 119, 257-277 (2022). MSC: 65N06 35J25 65N12 35J05 41A58 PDFBibTeX XMLCite \textit{R. Itza Balam} and \textit{M. Uh Zapata}, Comput. Math. Appl. 119, 257--277 (2022; Zbl 1524.65713) Full Text: DOI
Medina Dorantes, Francisco; Itzá Balam, Reymundo; Uh Zapata, Miguel The immersed interface method for Helmholtz equations with degenerate diffusion. (English) Zbl 07431517 Math. Comput. Simul. 190, 280-302 (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{F. Medina Dorantes} et al., Math. Comput. Simul. 190, 280--302 (2021; Zbl 07431517) Full Text: DOI
Ludvigsson, Gustav; Steffen, Kyle R.; Sticko, Simon; Wang, Siyang; Xia, Qing; Epshteyn, Yekaterina; Kreiss, Gunilla High-order numerical methods for 2D parabolic problems in single and composite domains. (English) Zbl 1395.65024 J. Sci. Comput. 76, No. 2, 812-847 (2018). MSC: 65M06 65M12 65M22 65M55 65M60 65M70 35K20 PDFBibTeX XMLCite \textit{G. Ludvigsson} et al., J. Sci. Comput. 76, No. 2, 812--847 (2018; Zbl 1395.65024) Full Text: DOI arXiv
Medvinsky, M.; Tsynkov, S.; Turkel, E. The method of difference potentials for the Helmholtz equation using compact high order schemes. (English) Zbl 1254.65118 J. Sci. Comput. 53, No. 1, 150-193 (2012); erratum ibid. 53, No. 2, 482 (2012). MSC: 65N06 PDFBibTeX XMLCite \textit{M. Medvinsky} et al., J. Sci. Comput. 53, No. 1, 150--193 (2012; Zbl 1254.65118) Full Text: DOI
Sun, Xu; Li, Xiaofan A spectrally accurate boundary integral method for interfacial velocities in two-dimensional Stokes flow. (English) Zbl 1364.76126 Commun. Comput. Phys. 8, No. 4, 933-946 (2010). MSC: 76M15 76D07 65R20 PDFBibTeX XMLCite \textit{X. Sun} and \textit{X. Li}, Commun. Comput. Phys. 8, No. 4, 933--946 (2010; Zbl 1364.76126) Full Text: DOI