Ceylan, Tuba; LeFloch, Philippe G.; Okutmustur, Baver A finite volume method for the relativistic Burgers equation on a FLRW background spacetime. (English) Zbl 1488.65328 Commun. Comput. Phys. 23, No. 2, 500-519 (2018). MSC: 65M08 35Q53 35Q75 76M12 76Y05 83D05 PDFBibTeX XMLCite \textit{T. Ceylan} et al., Commun. Comput. Phys. 23, No. 2, 500--519 (2018; Zbl 1488.65328) Full Text: DOI Link
Ceylan, Tuba; LeFloch, Philippe G.; Okutmustur, Baver The relativistic Burgers equation on a FLRW background and its finite volume approximation. arXiv:1512.08142 Preprint, arXiv:1512.08142 [math.AP] (2015). BibTeX Cite \textit{T. Ceylan} et al., ``The relativistic Burgers equation on a FLRW background and its finite volume approximation'', Preprint, arXiv:1512.08142 [math.AP] (2015) Full Text: arXiv OA License
LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. (English) Zbl 1258.35143 SIAM J. Numer. Anal. 50, No. 4, 2136-2158 (2012). Reviewer: Qin Mengzhao (Beijing) MSC: 35L65 65M08 76N10 83A05 35L60 35L67 35Q75 35Q31 PDFBibTeX XMLCite \textit{P. G. LeFloch} et al., SIAM J. Numer. Anal. 50, No. 4, 2136--2158 (2012; Zbl 1258.35143) Full Text: DOI arXiv
LeFloch, Philippe G.; Okutmustur, Baver; Neves, Wladimir Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes. (English) Zbl 1178.35251 Acta Math. Sin., Engl. Ser. 25, No. 7, 1041-1066 (2009). MSC: 35L65 76L05 58J45 35A35 65M15 35L60 PDFBibTeX XMLCite \textit{P. G. LeFloch} et al., Acta Math. Sin., Engl. Ser. 25, No. 7, 1041--1066 (2009; Zbl 1178.35251) Full Text: DOI arXiv
LeFloch, Philippe G.; Okutmustur, Baver Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. (English) Zbl 1178.35250 Far East J. Math. Sci. (FJMS) 31, No. 1, 49-83 (2008). Reviewer: Gisbert Stoyan (Budapest) MSC: 35L65 76L05 65M08 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{B. Okutmustur}, Far East J. Math. Sci. (FJMS) 31, No. 1, 49--83 (2008; Zbl 1178.35250) Full Text: arXiv Link
Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver Finite volume schemes on Lorentzian manifolds. (English) Zbl 1179.35027 Commun. Math. Sci. 6, No. 4, 1059-1086 (2008). Reviewer: Mária Lukáčová (Hamburg) MSC: 35A35 35L65 76L05 65M08 PDFBibTeX XMLCite \textit{P. Amorim} et al., Commun. Math. Sci. 6, No. 4, 1059--1086 (2008; Zbl 1179.35027) Full Text: DOI arXiv
LeFloch, Philippe G.; Okutmustur, Baver Hyperbolic conservation laws on manifolds with limited regularity. (English. Abridged French version) Zbl 1145.35428 C. R., Math., Acad. Sci. Paris 346, No. 9-10, 539-543 (2008). MSC: 35L65 35L50 58J45 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{B. Okutmustur}, C. R., Math., Acad. Sci. Paris 346, No. 9--10, 539--543 (2008; Zbl 1145.35428) Full Text: DOI arXiv