Guo, Tongqing; Shen, Ennan; Lu, Zhiliang; Wang, Yan; Dong, Lu Implicit heat flux correction-based immersed boundary-finite volume method for thermal flows with Neumann boundary conditions. (English) Zbl 1452.76115 J. Comput. Phys. 386, 64-83 (2019). MSC: 76M12 76N06 80A17 65M08 65Z05 76R10 PDFBibTeX XMLCite \textit{T. Guo} et al., J. Comput. Phys. 386, 64--83 (2019; Zbl 1452.76115) Full Text: DOI
Su, LingDe A radial basis function (RBF)-finite difference (FD) method for the backward heat conduction problem. (English) Zbl 1428.74222 Appl. Math. Comput. 354, 232-247 (2019). MSC: 74S20 65M32 80A23 PDFBibTeX XMLCite \textit{L. Su}, Appl. Math. Comput. 354, 232--247 (2019; Zbl 1428.74222) Full Text: DOI
Chang, Jen-Yi; Tsai, Chia-Cheng; Young, D. L. Homotopy method of fundamental solutions for solving nonlinear heat conduction problems. (English) Zbl 1464.80045 Eng. Anal. Bound. Elem. 108, 179-191 (2019). MSC: 80M99 65N80 80A19 PDFBibTeX XMLCite \textit{J.-Y. Chang} et al., Eng. Anal. Bound. Elem. 108, 179--191 (2019; Zbl 1464.80045) Full Text: DOI
Xie, Xuming Well-posedness of a needle crystal growth problem with anisotropic surface tension. (English) Zbl 1291.35394 Appl. Anal. 93, No. 4, 698-728 (2014). MSC: 35Q74 74N05 80A22 PDFBibTeX XMLCite \textit{X. Xie}, Appl. Anal. 93, No. 4, 698--728 (2014; Zbl 1291.35394) Full Text: DOI arXiv
Xie, Xuming Local smoothing effect and existence for the one-phase Hele-Shaw problem with zero surface tension. (English) Zbl 1234.35324 Complex Var. Elliptic Equ. 57, No. 2-4, 351-368 (2012). MSC: 35R35 76N10 80A22 PDFBibTeX XMLCite \textit{X. Xie}, Complex Var. Elliptic Equ. 57, No. 2--4, 351--368 (2012; Zbl 1234.35324) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. (English) Zbl 1201.80075 J. Comput. Phys. 229, No. 18, 6270-6299 (2010). Reviewer: Pavol Chocholatý (Bratislava) MSC: 80M10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Comput. Phys. 229, No. 18, 6270--6299 (2010; Zbl 1201.80075) Full Text: DOI
Monneau, R.; Weiss, G. S. Pulsating traveling waves in the singular limit of a reaction-diffusion system in solid combustion. (English) Zbl 1178.35121 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 4, 1207-1222 (2009). Reviewer: Jong-Shenq Guo (Taipei) MSC: 35C07 80A25 35B25 PDFBibTeX XMLCite \textit{R. Monneau} and \textit{G. S. Weiss}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 4, 1207--1222 (2009; Zbl 1178.35121) Full Text: DOI EuDML
Burger, Martin Numerical simulation of anisotropic surface diffusion with curvature-dependent energy. (English) Zbl 1143.80343 J. Comput. Phys. 203, No. 2, 602-625 (2005). MSC: 80M25 65M99 PDFBibTeX XMLCite \textit{M. Burger}, J. Comput. Phys. 203, No. 2, 602--625 (2005; Zbl 1143.80343) Full Text: DOI
Reitich, Fernando; Friedman, Avner Nonlinear stability of a quasi-static Stefan problem with surface tension: a continuation approach. (English) Zbl 1072.35208 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 30, No. 2, 341-403 (2001). Reviewer: Dian K. Palagachev (Bari) MSC: 35R35 80A22 35B20 35B40 PDFBibTeX XMLCite \textit{F. Reitich} and \textit{A. Friedman}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 30, No. 2, 341--403 (2001; Zbl 1072.35208) Full Text: Numdam EuDML
Doole, S. H. A Stefan-like problem with a kinetic condition and surface tension effects. (English) Zbl 0842.76088 Math. Comput. Modelling 23, No. 3, 55-67 (1996). MSC: 76T99 80A22 PDFBibTeX XMLCite \textit{S. H. Doole}, Math. Comput. Modelling 23, No. 3, 55--67 (1996; Zbl 0842.76088) Full Text: DOI
Friedman, Avner; Reitich, Fernando The Stefan problem with small surface tension. (English) Zbl 0744.35068 Trans. Am. Math. Soc. 328, No. 2, 465-515 (1991). Reviewer: J.Sprekels (Essen) MSC: 35R35 35K20 35K85 80A22 PDFBibTeX XMLCite \textit{A. Friedman} and \textit{F. Reitich}, Trans. Am. Math. Soc. 328, No. 2, 465--515 (1991; Zbl 0744.35068) Full Text: DOI
Bouchiba, M. Sur l’équation de la corrosion intergranulaire par diffusion de surface. (On the equation of intergranular corrosion by surface diffusion). (French) Zbl 0623.65133 RAIRO, Modélisation Math. Anal. Numér. 21, 425-444 (1987). MSC: 65Z05 65N22 35K60 80A32 65H10 PDFBibTeX XMLCite \textit{M. Bouchiba}, RAIRO, Modélisation Math. Anal. Numér. 21, 425--444 (1987; Zbl 0623.65133) Full Text: DOI EuDML
Witomski, P. Sur la résolution numérique d’une équation intégro- différentielle singulière non linéaire de la chimie des surfaces. (French) Zbl 0582.65097 RAIRO, Modélisation Math. Anal. Numér. 19, 477-512 (1985). Reviewer: S.Sburlan MSC: 65R20 45J05 80A32 PDFBibTeX XMLCite \textit{P. Witomski}, RAIRO, Modélisation Math. Anal. Numér. 19, 477--512 (1985; Zbl 0582.65097) Full Text: DOI EuDML