Sun, Zhi-Zhong; Dai, Weizhong A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the Neumann boundary condition. (English) Zbl 1310.65096 Numer. Methods Partial Differ. Equations 30, No. 4, 1291-1314 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M12 76A20 80A20 PDFBibTeX XMLCite \textit{Z.-Z. Sun} and \textit{W. Dai}, Numer. Methods Partial Differ. Equations 30, No. 4, 1291--1314 (2014; Zbl 1310.65096) Full Text: DOI
Zhang, Suyang; Dai, Weizhong; Wang, Haojie; Melnik, Roderick V. N. A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers. (English) Zbl 1142.80004 Int. J. Heat Mass Transfer 51, No. 7-8, 1979-1995 (2008). Reviewer: Nina Shokina (Freiburg) MSC: 80M20 80A20 78A60 74S20 PDFBibTeX XMLCite \textit{S. Zhang} et al., Int. J. Heat Mass Transfer 51, No. 7--8, 1979--1995 (2008; Zbl 1142.80004) Full Text: DOI
Dai, Weizhong; Li, Quang; Nassar, Raja; Shen, Lixin An unconditionally stable three level finite difference scheme for solving parabolic two-step micro heat transport equations in a three-dimensional double-layered thin film. (English) Zbl 1038.80008 Int. J. Numer. Methods Eng. 59, No. 4, 493-509 (2004). MSC: 80M20 80A20 76A20 76M20 PDFBibTeX XMLCite \textit{W. Dai} et al., Int. J. Numer. Methods Eng. 59, No. 4, 493--509 (2004; Zbl 1038.80008) Full Text: DOI
Dai, Weizhong; Nassar, Raja An unconditionally stable hybrid FE-FD scheme for solving a 3-D heat transport equation in a cylindrical thin film with sub-microscale thickness. (English) Zbl 1042.65071 J. Comput. Math. 21, No. 5, 555-568 (2003). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65M12 65M06 65M60 35K05 80A20 80M10 80M20 PDFBibTeX XMLCite \textit{W. Dai} and \textit{R. Nassar}, J. Comput. Math. 21, No. 5, 555--568 (2003; Zbl 1042.65071)
Dai, Weizhong; Nassar, Raja An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film. (English) Zbl 1005.65084 J. Comput. Appl. Math. 145, No. 1, 247-260 (2002). Reviewer: Prabhat Kumar Mahanti (New Brunswick) MSC: 65M06 35K05 65M12 80A20 80M10 PDFBibTeX XMLCite \textit{W. Dai} and \textit{R. Nassar}, J. Comput. Appl. Math. 145, No. 1, 247--260 (2002; Zbl 1005.65084) Full Text: DOI
Dai, Weizhong; Nassar, Raja A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness. (English) Zbl 0989.80026 Int. J. Numer. Methods Eng. 50, No. 7, 1665-1680 (2001). MSC: 80M20 PDFBibTeX XMLCite \textit{W. Dai} and \textit{R. Nassar}, Int. J. Numer. Methods Eng. 50, No. 7, 1665--1680 (2001; Zbl 0989.80026) Full Text: DOI
Dai, Weizhong; Nassar, Raja A preconditioned Richardson method for solving three-dimensional thin film problems with first-order derivatives and variable coefficients. (English) Zbl 0982.76068 Int. J. Numer. Methods Heat Fluid Flow 10, No. 5-6, 477-487 (2000). MSC: 76M20 76A20 65N06 PDFBibTeX XMLCite \textit{W. Dai} and \textit{R. Nassar}, Int. J. Numer. Methods Heat Fluid Flow 10, No. 5--6, 477--487 (2000; Zbl 0982.76068) Full Text: DOI