Generalis, S. C.; De Wit, A.; Trevelyan, P. M. J. Exotic dynamics of bimolecular reaction-diffusion fronts in immiscible systems. (English) Zbl 1527.35440 Appl. Math. Lett. 146, Article ID 108821, 8 p. (2023). MSC: 35Q92 92C05 35B40 90-08 65M06 PDFBibTeX XMLCite \textit{S. C. Generalis} et al., Appl. Math. Lett. 146, Article ID 108821, 8 p. (2023; Zbl 1527.35440) Full Text: DOI
Zhu, Na; Rui, Hongxing A reduced-order immersed interface method based on POD basis for parabolic interface problem. (English) Zbl 1514.65111 Appl. Math. Lett. 141, Article ID 108618, 8 p. (2023). MSC: 65M06 65F55 PDFBibTeX XMLCite \textit{N. Zhu} and \textit{H. Rui}, Appl. Math. Lett. 141, Article ID 108618, 8 p. (2023; Zbl 1514.65111) Full Text: DOI
Qin, Qiushuo; Song, Lina; Wang, Quanxiang High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems. (English) Zbl 1524.65719 Appl. Math. Lett. 137, Article ID 108479, 8 p. (2023). MSC: 65N06 35J25 65N12 41A58 PDFBibTeX XMLCite \textit{Q. Qin} et al., Appl. Math. Lett. 137, Article ID 108479, 8 p. (2023; Zbl 1524.65719) Full Text: DOI
Zhang, Qinglong; Sheng, Wancheng; Xiao, Tao Riemann problem and Godunov-type scheme for a two-layer blood flow model. (English) Zbl 1498.76124 Appl. Math. Lett. 135, Article ID 108437, 8 p. (2023). MSC: 76Z05 76T06 76L05 76M12 92C35 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Appl. Math. Lett. 135, Article ID 108437, 8 p. (2023; Zbl 1498.76124) Full Text: DOI
Farkas, Matthew; Deconinck, Bernard Solving the heat equation with variable thermal conductivity. (English) Zbl 1498.35321 Appl. Math. Lett. 135, Article ID 108395, 7 p. (2023). MSC: 35K20 35A24 35A35 PDFBibTeX XMLCite \textit{M. Farkas} and \textit{B. Deconinck}, Appl. Math. Lett. 135, Article ID 108395, 7 p. (2023; Zbl 1498.35321) Full Text: DOI arXiv
Nordström, Jan; Laurén, Fredrik A stable and conservative nonlinear interface coupling for the incompressible Euler equations. (English) Zbl 1524.76137 Appl. Math. Lett. 132, Article ID 108171, 8 p. (2022). MSC: 76D05 65M06 65M12 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{F. Laurén}, Appl. Math. Lett. 132, Article ID 108171, 8 p. (2022; Zbl 1524.76137) Full Text: DOI
Jiang, Songwei; Gu, Yan; Golub, Mikhail V. An efficient meshless method for bimaterial interface cracks in 2D thin-layered coating structures. (English) Zbl 1487.74121 Appl. Math. Lett. 131, Article ID 108080, 8 p. (2022). MSC: 74S99 74S20 74R10 74G70 74E30 PDFBibTeX XMLCite \textit{S. Jiang} et al., Appl. Math. Lett. 131, Article ID 108080, 8 p. (2022; Zbl 1487.74121) Full Text: DOI
Giverso, Chiara; Lorenzi, Tommaso; Preziosi, Luigi Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes. (English) Zbl 1478.92024 Appl. Math. Lett. 125, Article ID 107708, 8 p. (2022). MSC: 92C10 92C37 35Q92 PDFBibTeX XMLCite \textit{C. Giverso} et al., Appl. Math. Lett. 125, Article ID 107708, 8 p. (2022; Zbl 1478.92024) Full Text: DOI arXiv
Negrini, G.; Parolini, N.; Verani, M. A diffuse interface box method for elliptic problems. (English) Zbl 1524.65727 Appl. Math. Lett. 120, Article ID 107314, 7 p. (2021). MSC: 65N08 65N30 65N15 35J25 35J05 65N12 65N50 PDFBibTeX XMLCite \textit{G. Negrini} et al., Appl. Math. Lett. 120, Article ID 107314, 7 p. (2021; Zbl 1524.65727) Full Text: DOI arXiv
Guan, Hongbo; Zhang, Zhimin; Zhu, Huiqing A note on the immersed finite element basis functions for elliptic interface problems. (English) Zbl 1458.74134 Appl. Math. Lett. 115, Article ID 106660, 10 p. (2021). MSC: 74S05 76M10 65N30 35R05 PDFBibTeX XMLCite \textit{H. Guan} et al., Appl. Math. Lett. 115, Article ID 106660, 10 p. (2021; Zbl 1458.74134) Full Text: DOI
Sun, Lixia; Niu, Jing; Hou, Jinjiao A high order convergence collocation method based on the reproducing kernel for general interface problems. (English) Zbl 1455.65122 Appl. Math. Lett. 112, Article ID 106718, 7 p. (2021). MSC: 65L60 34B10 PDFBibTeX XMLCite \textit{L. Sun} et al., Appl. Math. Lett. 112, Article ID 106718, 7 p. (2021; Zbl 1455.65122) Full Text: DOI
Hu, Yang A diffuse interface-lattice Boltzmann model for surfactant transport on an interface. (English) Zbl 1459.76100 Appl. Math. Lett. 111, Article ID 106614, 7 p. (2021). MSC: 76M28 76R50 PDFBibTeX XMLCite \textit{Y. Hu}, Appl. Math. Lett. 111, Article ID 106614, 7 p. (2021; Zbl 1459.76100) Full Text: DOI
Sun, Xia; Wang, Guodong; Ma, Yanying A new modified local Lax-Friedrichs scheme for scalar conservation laws with discontinuous flux. (English) Zbl 1436.65111 Appl. Math. Lett. 105, Article ID 106328, 7 p. (2020). MSC: 65M06 35Q35 PDFBibTeX XMLCite \textit{X. Sun} et al., Appl. Math. Lett. 105, Article ID 106328, 7 p. (2020; Zbl 1436.65111) Full Text: DOI
Hu, Rui; Li, Zhilin Error analysis of the immersed interface method for Stokes equations with an interface. (English) Zbl 1457.65161 Appl. Math. Lett. 83, 207-211 (2018). MSC: 65N06 65N15 76D07 76M20 35J25 35Q35 PDFBibTeX XMLCite \textit{R. Hu} and \textit{Z. Li}, Appl. Math. Lett. 83, 207--211 (2018; Zbl 1457.65161) Full Text: DOI
Laadhari, Aymen An operator splitting strategy for fluid-structure interaction problems with thin elastic structures in an incompressible Newtonian flow. (English) Zbl 1458.74137 Appl. Math. Lett. 81, 35-43 (2018). MSC: 74S05 74F10 76D05 PDFBibTeX XMLCite \textit{A. Laadhari}, Appl. Math. Lett. 81, 35--43 (2018; Zbl 1458.74137) Full Text: DOI
Wang, Guodong; Hu, Yanbo The Roe-type interface flux for conservation laws with discontinuous flux function. (English) Zbl 1377.65112 Appl. Math. Lett. 75, 68-73 (2018). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{G. Wang} and \textit{Y. Hu}, Appl. Math. Lett. 75, 68--73 (2018; Zbl 1377.65112) Full Text: DOI
Lai, Ming-Chih; Seol, Yunchang A short note on Navier-Stokes flows with an incompressible interface and its approximations. (English) Zbl 1388.76054 Appl. Math. Lett. 65, 1-6 (2017). MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{M.-C. Lai} and \textit{Y. Seol}, Appl. Math. Lett. 65, 1--6 (2017; Zbl 1388.76054) Full Text: DOI
Song, Lina; Gao, Hongwei Analysis of a Stokes interface problem in multi-subdomains. (English) Zbl 1354.35113 Appl. Math. Lett. 64, 131-136 (2017). MSC: 35Q35 76D07 PDFBibTeX XMLCite \textit{L. Song} and \textit{H. Gao}, Appl. Math. Lett. 64, 131--136 (2017; Zbl 1354.35113) Full Text: DOI
Rätz, Andreas A benchmark for the surface Cahn-Hilliard equation. (English) Zbl 1381.35251 Appl. Math. Lett. 56, 65-71 (2016). MSC: 35R35 35K25 65M60 PDFBibTeX XMLCite \textit{A. Rätz}, Appl. Math. Lett. 56, 65--71 (2016; Zbl 1381.35251) Full Text: DOI
Kolahdouz, Ebrahim M.; Salac, David A numerical model for the trans-membrane voltage of vesicles. (English) Zbl 1320.78015 Appl. Math. Lett. 39, 7-12 (2015). MSC: 78A70 76W05 78M25 PDFBibTeX XMLCite \textit{E. M. Kolahdouz} and \textit{D. Salac}, Appl. Math. Lett. 39, 7--12 (2015; Zbl 1320.78015) Full Text: DOI arXiv
Sheils, Natalie E.; Deconinck, Bernard Heat conduction on the ring: interface problems with periodic boundary conditions. (English) Zbl 1314.80002 Appl. Math. Lett. 37, 107-111 (2014). MSC: 80A20 35Q79 PDFBibTeX XMLCite \textit{N. E. Sheils} and \textit{B. Deconinck}, Appl. Math. Lett. 37, 107--111 (2014; Zbl 1314.80002) Full Text: DOI arXiv
Caiazzo, Alfonso; Fernández, Miguel A.; Martin, Vincent Analysis of a stabilized finite element method for fluid flows through a porous interface. (English) Zbl 1408.76362 Appl. Math. Lett. 24, No. 12, 2124-2127 (2011). MSC: 76M10 74S05 76S05 65N30 74F10 PDFBibTeX XMLCite \textit{A. Caiazzo} et al., Appl. Math. Lett. 24, No. 12, 2124--2127 (2011; Zbl 1408.76362) Full Text: DOI
Korotov, Sergey; Křížek, Michal Nonobtuse local tetrahedral refinements towards a polygonal face/interface. (English) Zbl 1214.65051 Appl. Math. Lett. 24, No. 6, 817-821 (2011). MSC: 65M50 PDFBibTeX XMLCite \textit{S. Korotov} and \textit{M. Křížek}, Appl. Math. Lett. 24, No. 6, 817--821 (2011; Zbl 1214.65051) Full Text: DOI Link
Wei, T. Uniqueness of moving boundary for a heat conduction problem with nonlinear interface conditions. (English) Zbl 1189.35391 Appl. Math. Lett. 23, No. 5, 600-604 (2010). MSC: 35R37 35R30 35Q79 80A20 80A23 35B65 PDFBibTeX XMLCite \textit{T. Wei}, Appl. Math. Lett. 23, No. 5, 600--604 (2010; Zbl 1189.35391) Full Text: DOI
Ito, Kazufumi; Toivanen, Jari Preconditioned iterative methods on sparse subspaces. (English) Zbl 1176.65030 Appl. Math. Lett. 19, No. 11, 1191-1197 (2006). MSC: 65F08 65F10 65F50 35J05 65N85 35R05 35J25 PDFBibTeX XMLCite \textit{K. Ito} and \textit{J. Toivanen}, Appl. Math. Lett. 19, No. 11, 1191--1197 (2006; Zbl 1176.65030) Full Text: DOI
Amaziane, B.; Pankratov, L. Homogenization of a reaction-diffusion equation with Robin interface conditions. (English) Zbl 1180.35064 Appl. Math. Lett. 19, No. 11, 1175-1179 (2006). MSC: 35B27 35K57 76M50 76S05 35B40 35K58 PDFBibTeX XMLCite \textit{B. Amaziane} and \textit{L. Pankratov}, Appl. Math. Lett. 19, No. 11, 1175--1179 (2006; Zbl 1180.35064) Full Text: DOI
Wang, Jun The statistical properties of the interfaces for the lattice Widom–Rowlinson model. (English) Zbl 1098.82007 Appl. Math. Lett. 19, No. 3, 223-228 (2006). Reviewer: Nasir N. Ganikhodjaev (Kuala Lumpur) MSC: 82B20 82D60 82B26 PDFBibTeX XMLCite \textit{J. Wang}, Appl. Math. Lett. 19, No. 3, 223--228 (2006; Zbl 1098.82007) Full Text: DOI
Ivaz, K.; Nikazad, T. An inverse solidification of pure substance problem in two dimensions. (English) Zbl 1083.35134 Appl. Math. Lett. 18, No. 8, 891-896 (2005). MSC: 35R30 35R35 35K05 80A22 PDFBibTeX XMLCite \textit{K. Ivaz} and \textit{T. Nikazad}, Appl. Math. Lett. 18, No. 8, 891--896 (2005; Zbl 1083.35134) Full Text: DOI
Mahboob, M.; Schiavone, P. Designing a neutral elliptic inhomogeneity in the case of a general non-uniform loading. (English) Zbl 1081.74010 Appl. Math. Lett. 18, No. 11, 1312-1318 (2005). MSC: 74E05 74E30 PDFBibTeX XMLCite \textit{M. Mahboob} and \textit{P. Schiavone}, Appl. Math. Lett. 18, No. 11, 1312--1318 (2005; Zbl 1081.74010) Full Text: DOI
Lai, Ming-Chih; Li, Zhilin A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane. (English) Zbl 1013.76021 Appl. Math. Lett. 14, No. 2, 149-154 (2001). MSC: 76D05 74F10 74K15 92C10 PDFBibTeX XMLCite \textit{M.-C. Lai} and \textit{Z. Li}, Appl. Math. Lett. 14, No. 2, 149--154 (2001; Zbl 1013.76021) Full Text: DOI
Betelú, S. A two-dimensional corner solution for a nonlinear diffusion equation. (English) Zbl 0957.35074 Appl. Math. Lett. 13, No. 3, 119-123 (2000). MSC: 35K65 35K55 35A20 PDFBibTeX XMLCite \textit{S. Betelú}, Appl. Math. Lett. 13, No. 3, 119--123 (2000; Zbl 0957.35074) Full Text: DOI
Okrasiński, W.; Vila, S. Determination of the interface position for some nonlinear diffusion problems. (English) Zbl 0973.76612 Appl. Math. Lett. 11, No. 4, 85-89 (1998). MSC: 76R50 PDFBibTeX XMLCite \textit{W. Okrasiński} and \textit{S. Vila}, Appl. Math. Lett. 11, No. 4, 85--89 (1998; Zbl 0973.76612) Full Text: DOI
Witelski, T. P. Similarity solutions of the lubrication equation. (English) Zbl 0891.35048 Appl. Math. Lett. 10, No. 5, 107-113 (1997). MSC: 35K25 35C05 PDFBibTeX XMLCite \textit{T. P. Witelski}, Appl. Math. Lett. 10, No. 5, 107--113 (1997; Zbl 0891.35048) Full Text: DOI
Gatica, G. N. Combination of mixed finite element and Dirichlet-to-Neumann methods in nonlinear plane elasticity. (English) Zbl 0895.73066 Appl. Math. Lett. 10, No. 6, 29-35 (1997). MSC: 74S05 74B20 PDFBibTeX XMLCite \textit{G. N. Gatica}, Appl. Math. Lett. 10, No. 6, 29--35 (1997; Zbl 0895.73066) Full Text: DOI
Nochetto, R. H.; Paolini, M.; Verdi, C. Quadratic rate of convergence for curvature dependent smooth interfaces: A simple proof. (English) Zbl 0823.35013 Appl. Math. Lett. 7, No. 4, 59-63 (1994). MSC: 35B25 35K57 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Appl. Math. Lett. 7, No. 4, 59--63 (1994; Zbl 0823.35013) Full Text: DOI
Peletier, M. A. A supersolution for the porous media equation with nonuniform density. (English) Zbl 0803.35172 Appl. Math. Lett. 7, No. 3, 29-32 (1994). MSC: 35R35 35K65 76S05 PDFBibTeX XMLCite \textit{M. A. Peletier}, Appl. Math. Lett. 7, No. 3, 29--32 (1994; Zbl 0803.35172) Full Text: DOI
Tomoeda, Kenji; Nakaki, Tatsuyuki Difference approximations to interface curves for nonlinear diffusion equations with absorption. (English) Zbl 0760.65089 Appl. Math. Lett. 5, No. 6, 41-47 (1992). MSC: 65M06 65M12 35K57 PDFBibTeX XMLCite \textit{K. Tomoeda} and \textit{T. Nakaki}, Appl. Math. Lett. 5, No. 6, 41--47 (1992; Zbl 0760.65089) Full Text: DOI
Caginalp, G.; Socolovsky, E. A. Efficient computation of a sharp interface by spreading via phase field methods. (English) Zbl 0705.65101 Appl. Math. Lett. 2, No. 2, 117-120 (1989). MSC: 65Z05 65M20 35K05 35R35 80A22 PDFBibTeX XMLCite \textit{G. Caginalp} and \textit{E. A. Socolovsky}, Appl. Math. Lett. 2, No. 2, 117--120 (1989; Zbl 0705.65101) Full Text: DOI
Li, Zi-Cai A note on Kellogg’s eigenfunctions of a periodic Sturm-Liouville system. (English) Zbl 0695.34021 Appl. Math. Lett. 1, No. 2, 123-126 (1988). MSC: 34L99 PDFBibTeX XMLCite \textit{Z.-C. Li}, Appl. Math. Lett. 1, No. 2, 123--126 (1988; Zbl 0695.34021) Full Text: DOI