Jeon, Youngmok; Yi, Son-Young The immersed interface hybridized difference method for parabolic interface problems. (English) Zbl 1499.65396 Numer. Math., Theory Methods Appl. 15, No. 2, 336-359 (2022). MSC: 65M06 65N06 PDFBibTeX XMLCite \textit{Y. Jeon} and \textit{S.-Y. Yi}, Numer. Math., Theory Methods Appl. 15, No. 2, 336--359 (2022; Zbl 1499.65396) Full Text: DOI
Wang, Quanxiang; Zhang, Zhiyue; Zheng, Enlai PPIFE method with non-homogeneous flux jump conditions and its efficient numerical solver for elliptic optimal control problems with interfaces. (English) Zbl 1463.65379 Numer. Math., Theory Methods Appl. 13, No. 3, 719-744 (2020). MSC: 65N30 49J20 65F08 65F10 PDFBibTeX XMLCite \textit{Q. Wang} et al., Numer. Math., Theory Methods Appl. 13, No. 3, 719--744 (2020; Zbl 1463.65379) Full Text: DOI
Singh, Suruchi; Singh, Swarn; Li, Zhilin A high order compact scheme for a thermal wave model of bio-heat transfer with an interface. (English) Zbl 1424.80002 Numer. Math., Theory Methods Appl. 11, No. 2, 321-337 (2018). MSC: 80M20 65M06 35Q79 PDFBibTeX XMLCite \textit{S. Singh} et al., Numer. Math., Theory Methods Appl. 11, No. 2, 321--337 (2018; Zbl 1424.80002) Full Text: DOI
Liu, Jianming; Qiu, Jianxian; Goman, Mikhail; Li, Xinkai; Liu, Meilin Positivity-preserving Runge-Kutta discontinuous Galerkin method on adaptive Cartesian grid for strong moving shock. (English) Zbl 1363.76040 Numer. Math., Theory Methods Appl. 9, No. 1, 87-110 (2016). MSC: 76M10 65M60 65M50 76L05 PDFBibTeX XMLCite \textit{J. Liu} et al., Numer. Math., Theory Methods Appl. 9, No. 1, 87--110 (2016; Zbl 1363.76040) Full Text: DOI Link
Zhao, Shihai; Pan, Tsorng-Whay Numerical simulations of red blood cell suspensions behind a moving interface in a capillary. (English) Zbl 1324.76044 Numer. Math., Theory Methods Appl. 7, No. 4, 499-511 (2014). MSC: 76M25 76Z05 92C35 PDFBibTeX XMLCite \textit{S. Zhao} and \textit{T.-W. Pan}, Numer. Math., Theory Methods Appl. 7, No. 4, 499--511 (2014; Zbl 1324.76044) Full Text: DOI arXiv
Zhang, Qinghai; Guy, Robert D.; Philip, Bobby A projection preconditioner for solving the implicit immersed boundary equations. (English) Zbl 1324.76043 Numer. Math., Theory Methods Appl. 7, No. 4, 473-498 (2014). MSC: 76M25 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Numer. Math., Theory Methods Appl. 7, No. 4, 473--498 (2014; Zbl 1324.76043) Full Text: DOI Link
Wu, Hao The high order scheme for Schrödinger equation with discontinuous potential I: immersed interface method. (English) Zbl 1265.35355 Numer. Math., Theory Methods Appl. 4, No. 4, 576-597 (2011). MSC: 35R05 65M06 35Q41 PDFBibTeX XMLCite \textit{H. Wu}, Numer. Math., Theory Methods Appl. 4, No. 4, 576--597 (2011; Zbl 1265.35355) Full Text: DOI