Jiang, Nan On the convergence of a second-order nonlinear SSP Runge-Kutta method for convex scalar conservation laws. (English) Zbl 1509.65072 Methods Appl. Anal. 29, No. 2, 209-228 (2022). MSC: 65M06 65L06 65M12 35L60 35A24 PDFBibTeX XMLCite \textit{N. Jiang}, Methods Appl. Anal. 29, No. 2, 209--228 (2022; Zbl 1509.65072) Full Text: DOI
Gascón, Ll.; Corberán, J. M.; García-Manrique, J. A. Numerical schemes for quasi-1D steady nozzle flows. (English) Zbl 1508.76078 Appl. Math. Comput. 400, Article ID 126072, 15 p. (2021). MSC: 76M20 65M06 35Q35 76T10 PDFBibTeX XMLCite \textit{Ll. Gascón} et al., Appl. Math. Comput. 400, Article ID 126072, 15 p. (2021; Zbl 1508.76078) Full Text: DOI
Jiang, Nan On the wavewise entropy inequalities for high-resolution schemes with source terms. II: The fully-discrete case. (English) Zbl 1442.65163 Methods Appl. Anal. 26, No. 4, 297-318 (2019). MSC: 65M06 65M12 35L60 PDFBibTeX XMLCite \textit{N. Jiang}, Methods Appl. Anal. 26, No. 4, 297--318 (2019; Zbl 1442.65163) Full Text: DOI
Jiang, Nan On the convergence of semi-discrete high resolution schemes with superbee flux limiter for conservation laws. (English) Zbl 1286.65110 Li, Tatsien (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Vol. 2. Proceedings of the 13th international conference on hyperbolic problems, HYP 2010, Beijing, China, June 15–19, 2010. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4417-08-2/v.2; 978-981-4417-06-8/set). Series in Contemporary Applied Mathematics CAM 18, 431-438 (2012). MSC: 65M12 65M20 35L65 PDFBibTeX XMLCite \textit{N. Jiang}, Ser. Contemp. Appl. Math. CAM 18, 431--438 (2012; Zbl 1286.65110)
Jiang, Nan On the convergence of fully-discrete high-resolution schemes with van Leer’s flux limiter for conservation laws. (English) Zbl 1192.65119 Methods Appl. Anal. 16, No. 3, 403-422 (2009). MSC: 65M12 35L60 PDFBibTeX XMLCite \textit{N. Jiang}, Methods Appl. Anal. 16, No. 3, 403--422 (2009; Zbl 1192.65119) Full Text: DOI Euclid
Donat Beneito, R.; Martínez Gavara, A. A ‘TVD-like’ scheme for conservation laws with source terms. (English) Zbl 1188.65116 Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 265-272 (2008). MSC: 65M06 65L06 PDFBibTeX XMLCite \textit{R. Donat Beneito} and \textit{A. Martínez Gavara}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10--14, 2007. Berlin: Springer. 265--272 (2008; Zbl 1188.65116) Full Text: DOI
Jiang, Nan; Yang, Huanan On convergence of semi-discrete high resolution schemes with van Leer’s flux limiter for conservation laws. (English) Zbl 1128.65071 Methods Appl. Anal. 12, No. 1, 89-101 (2005). MSC: 65M12 65M06 65M20 35L65 PDFBibTeX XMLCite \textit{N. Jiang} and \textit{H. Yang}, Methods Appl. Anal. 12, No. 1, 89--101 (2005; Zbl 1128.65071) Full Text: DOI
Yang, Huanan; Jiang, Nan On wavewise entropy inequalities for high-resolution schemes with source terms. I: The semi-discrete case. (English) Zbl 1077.65099 Methods Appl. Anal. 10, No. 4, 487-512 (2003). MSC: 65M12 65M06 65M20 35L65 PDFBibTeX XMLCite \textit{H. Yang} and \textit{N. Jiang}, Methods Appl. Anal. 10, No. 4, 487--512 (2003; Zbl 1077.65099) Full Text: DOI
Yang, Huanan On wavewise entropy inequalities for high-resolution schemes. I: The semidiscrete case. (English) Zbl 0848.65063 Math. Comput. 65, No. 213, 45-67, S1-S13 (1996). Reviewer: J.Vaníček (Praha) MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{H. Yang}, Math. Comput. 65, No. 213, 45--67, S1--S13 (1996; Zbl 0848.65063) Full Text: DOI
Coray, C.; Koebbe, J. Accuracy optimized methods for constrained numerical solutions of hyperbolic conservation laws. (English) Zbl 0804.65094 J. Comput. Phys. 109, No. 1, 115-132 (1993). Reviewer: M.Fritsche (Jena) MSC: 65M06 35L65 35Q53 PDFBibTeX XMLCite \textit{C. Coray} and \textit{J. Koebbe}, J. Comput. Phys. 109, No. 1, 115--132 (1993; Zbl 0804.65094) Full Text: DOI
Loh, Ching-Yuen; Liou, Meng-Sing Lagrangian solution of supersonic real gas flows. (English) Zbl 0767.76037 J. Comput. Phys. 104, No. 1, 150-161 (1993). MSC: 76M20 76J20 PDFBibTeX XMLCite \textit{C.-Y. Loh} and \textit{M.-S. Liou}, J. Comput. Phys. 104, No. 1, 150--161 (1993; Zbl 0767.76037) Full Text: DOI
Hui, W. H.; Loh, C. Y. A new Lagrangian method for steady supersonic flow computation. II: Slip- line resolution. (English) Zbl 0764.76045 J. Comput. Phys. 103, No. 2, 450-464 (1992). MSC: 76M20 76L05 76J20 PDFBibTeX XMLCite \textit{W. H. Hui} and \textit{C. Y. Loh}, J. Comput. Phys. 103, No. 2, 450--464 (1992; Zbl 0764.76045) Full Text: DOI
Davis, Stephen F. A simplified TVD finite difference scheme via artificial viscosity. (English) Zbl 0689.65058 SIAM J. Sci. Stat. Comput. 8, No. 1, 1-18 (1987). MSC: 65N06 35L65 PDFBibTeX XMLCite \textit{S. F. Davis}, SIAM J. Sci. Stat. Comput. 8, 1--18 (1987; Zbl 0689.65058) Full Text: DOI