Kim, Yongho; Choi, Yongho Learning finite difference methods for reaction-diffusion type equations with FCNN. (English) Zbl 1524.35313 Comput. Math. Appl. 123, 115-122 (2022). MSC: 35K57 65M06 92C50 35Q92 92C37 PDFBibTeX XMLCite \textit{Y. Kim} and \textit{Y. Choi}, Comput. Math. Appl. 123, 115--122 (2022; Zbl 1524.35313) Full Text: DOI
Yang, Junxiang; Wang, Jian; Tan, Zhijun A simple and practical finite difference method for the phase-field crystal model with a strong nonlinear vacancy potential on 3D surfaces. (English) Zbl 1524.65427 Comput. Math. Appl. 121, 131-144 (2022). MSC: 65M06 65M12 82D25 74N05 82C26 65N06 80A22 35Q79 PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 121, 131--144 (2022; Zbl 1524.65427) Full Text: DOI
Tan, Zhijun; Wu, Jingwen; Yang, Junxiang Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes. (English) Zbl 07568547 J. Comput. Phys. 467, Article ID 111444, 26 p. (2022). MSC: 65Mxx 76Mxx 35Kxx PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Comput. Phys. 467, Article ID 111444, 26 p. (2022; Zbl 07568547) Full Text: DOI
Li, Yibao; Liu, Rui; Xia, Qing; He, Chenxi; Li, Zhong First- and second-order unconditionally stable direct discretization methods for multi-component Cahn-Hilliard system on surfaces. (English) Zbl 1503.65178 J. Comput. Appl. Math. 401, Article ID 113778, 15 p. (2022). MSC: 65M06 65N50 65F10 65Y10 35Q35 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Appl. Math. 401, Article ID 113778, 15 p. (2022; Zbl 1503.65178) Full Text: DOI
Jeong, Darae; Li, Yibao; Choi, Yongho; Lee, Chaeyoung; Yang, Junxiang; Kim, Junseok A practical adaptive grid method for the Allen-Cahn equation. (English) Zbl 1527.65072 Physica A 573, Article ID 125975, 12 p. (2021). MSC: 65M06 65M50 PDFBibTeX XMLCite \textit{D. Jeong} et al., Physica A 573, Article ID 125975, 12 p. (2021; Zbl 1527.65072) Full Text: DOI
Yang, Junxiang; Kim, Junseok A phase-field model and its efficient numerical method for two-phase flows on arbitrarily curved surfaces in 3D space. (English) Zbl 1506.76104 Comput. Methods Appl. Mech. Eng. 372, Article ID 113382, 21 p. (2020). MSC: 76M10 65M60 76D05 76T06 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Comput. Methods Appl. Mech. Eng. 372, Article ID 113382, 21 p. (2020; Zbl 1506.76104) Full Text: DOI
Kim, Hyundong; Yun, Ana; Yoon, Sungha; Lee, Chaeyoung; Park, Jintae; Kim, Junseok Pattern formation in reaction-diffusion systems on evolving surfaces. (English) Zbl 1453.65223 Comput. Math. Appl. 80, No. 9, 2019-2028 (2020). MSC: 65M06 65N06 65M12 35B36 35K57 92C15 PDFBibTeX XMLCite \textit{H. Kim} et al., Comput. Math. Appl. 80, No. 9, 2019--2028 (2020; Zbl 1453.65223) Full Text: DOI
Lee, Dongsun; Kim, Yunho Novel mass-conserving Allen-Cahn equation for the boundedness of an order parameter. (English) Zbl 1450.35133 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105224, 19 p. (2020). MSC: 35K20 35K55 47D06 PDFBibTeX XMLCite \textit{D. Lee} and \textit{Y. Kim}, Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105224, 19 p. (2020; Zbl 1450.35133) Full Text: DOI
Lee, Dongsun The numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equation. (English) Zbl 1446.65070 Comput. Math. Appl. 80, No. 1, 263-284 (2020). MSC: 65M06 35Q56 74N05 PDFBibTeX XMLCite \textit{D. Lee}, Comput. Math. Appl. 80, No. 1, 263--284 (2020; Zbl 1446.65070) Full Text: DOI
Yang, Junxiang; Li, Yibao; Kim, Junseok A practical finite difference scheme for the Navier-Stokes equation on curved surfaces in \(\mathbb{R}^3\). (English) Zbl 1436.76048 J. Comput. Phys. 411, Article ID 109403, 15 p. (2020). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Comput. Phys. 411, Article ID 109403, 15 p. (2020; Zbl 1436.76048) Full Text: DOI
Yang, Junxiang; Li, Yibao; Lee, Chaeyoung; Jeong, Darae; Kim, Junseok A conservative finite difference scheme for the \(N\)-component Cahn-Hilliard system on curved surfaces in 3D. (English) Zbl 1436.65115 J. Eng. Math. 119, 149-166 (2019). MSC: 65M06 35Q35 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Eng. Math. 119, 149--166 (2019; Zbl 1436.65115) Full Text: DOI