Abreu, Eduardo; Espírito Santo, Arthur; Lambert, Wanderson; Pérez, John Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian-Eulerian scheme via weak asymptotic analysis for 1D hyperbolic problems. (English) Zbl 07777012 Numer. Methods Partial Differ. Equations 39, No. 3, 2400-2443 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{E. Abreu} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2400--2443 (2023; Zbl 07777012) Full Text: DOI
Bhandari, Chandi; Hoppe, Ronald H. W.; Kumar, Rahul A \(\mathrm{C}^0\) interior penalty discontinuous Galerkin method for fourth-order total variation flow. II: Existence and uniqueness. (English) Zbl 1416.65337 Numer. Methods Partial Differ. Equations 35, No. 4, 1477-1496 (2019). MSC: 65M60 35A01 35A02 47N40 35K41 49K20 PDFBibTeX XMLCite \textit{C. Bhandari} et al., Numer. Methods Partial Differ. Equations 35, No. 4, 1477--1496 (2019; Zbl 1416.65337) Full Text: DOI
Bhandari, Chandi; Hoppe, Ronald H. W.; Kumar, Rahul A \(\mathrm{C}^0\) interior penalty discontinuous Galerkin method for fourth-order total variation flow. I: Derivation of the method and numerical results. (English) Zbl 1416.65336 Numer. Methods Partial Differ. Equations 35, No. 4, 1458-1476 (2019). MSC: 65M60 65M06 35K41 65N30 49K20 PDFBibTeX XMLCite \textit{C. Bhandari} et al., Numer. Methods Partial Differ. Equations 35, No. 4, 1458--1476 (2019; Zbl 1416.65336) Full Text: DOI
Sari, Murat; Gürarslan, Gürhan; Da, Dris A compact finite difference method for the solution of the generalized Burgers-Fisher equation. (English) Zbl 1183.65114 Numer. Methods Partial Differ. Equations 26, No. 1, 125-134 (2010). MSC: 65M20 65M06 65L06 35Q53 PDFBibTeX XMLCite \textit{M. Sari} et al., Numer. Methods Partial Differ. Equations 26, No. 1, 125--134 (2010; Zbl 1183.65114) Full Text: DOI
Zahran, Yousef Hashem An efficient TVD-WENO method for conservation laws. (English) Zbl 1177.65136 Numer. Methods Partial Differ. Equations 25, No. 6, 1443-1467 (2009). MSC: 65M06 35L65 65M20 65L06 PDFBibTeX XMLCite \textit{Y. H. Zahran}, Numer. Methods Partial Differ. Equations 25, No. 6, 1443--1467 (2009; Zbl 1177.65136) Full Text: DOI
Wo, Shaochang; Chen, Benito M.; Wang, Junping A high-order Godunov method for one-dimensional convection-diffusion-reaction problems. (English) Zbl 0967.65093 Numer. Methods Partial Differ. Equations 16, No. 6, 495-512 (2000). Reviewer: S.Benzoni (Lyon) MSC: 65M06 65M12 35K57 PDFBibTeX XMLCite \textit{S. Wo} et al., Numer. Methods Partial Differ. Equations 16, No. 6, 495--512 (2000; Zbl 0967.65093) Full Text: DOI
Cooke, Charlie H.; Hwang, Jen-Ing G. On a moving boundary problem of transitional ballistics. (English) Zbl 0638.76078 Numer. Methods Partial Differ. Equations 4, No. 1, 69-90 (1988). MSC: 76L05 70E15 76M99 PDFBibTeX XMLCite \textit{C. H. Cooke} and \textit{J.-I. G. Hwang}, Numer. Methods Partial Differ. Equations 4, No. 1, 69--90 (1988; Zbl 0638.76078) Full Text: DOI Link
Cooke, C. H. On operator splitting of the Euler equations consistent with Harten’s second-order accurate TVD scheme. (English) Zbl 0637.76059 Numer. Methods Partial Differ. Equations 1, 315-327 (1985). MSC: 76L05 76M99 35Q30 35L65 PDFBibTeX XMLCite \textit{C. H. Cooke}, Numer. Methods Partial Differ. Equations 1, 315--327 (1985; Zbl 0637.76059) Full Text: DOI