Kabanikhin, S. I.; Kulikov, I. M.; Shishlenin, M. A. An algorithm for recovering the characteristics of the initial state of supernova. (English. Russian original) Zbl 1452.65209 Comput. Math. Math. Phys. 60, No. 6, 1008-1016 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 1035-1044 (2020). MSC: 65M32 65M06 65K10 85-08 85A05 35Q85 76N99 PDF BibTeX XML Cite \textit{S. I. Kabanikhin} et al., Comput. Math. Math. Phys. 60, No. 6, 1008--1016 (2020; Zbl 1452.65209); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 1035--1044 (2020) Full Text: DOI
Godunov, S. K.; Denisenko, V. V.; Klyuchinskii, D. V.; Fortova, S. V.; Shepelev, V. V. Study of entropy properties of a linearized version of Godunov’s method. (English. Russian original) Zbl 1453.35126 Comput. Math. Math. Phys. 60, No. 4, 628-640 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 4, 639-651 (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 65M06 35Q31 35D30 PDF BibTeX XML Cite \textit{S. K. Godunov} et al., Comput. Math. Math. Phys. 60, No. 4, 628--640 (2020; Zbl 1453.35126); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 4, 639--651 (2020) Full Text: DOI
Godunov, S. K.; Klyuchinskii, D. V.; Fortova, S. V.; Shepelev, V. V. Experimental studies of difference gas dynamics models with shock waves. (English. Russian original) Zbl 1412.76082 Comput. Math. Math. Phys. 58, No. 8, 1201-1216 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 8 (2018). MSC: 76N15 76L05 76M20 PDF BibTeX XML Cite \textit{S. K. Godunov} et al., Comput. Math. Math. Phys. 58, No. 8, 1201--1216 (2018; Zbl 1412.76082); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 8 (2018) Full Text: DOI
Lobanov, A. I. Difference schemes in the undetermined coefficient space and dual problems of linear programming. (English. Russian original) Zbl 1397.90265 Comput. Math. Math. Phys. 58, No. 6, 827-839 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 859-872 (2018). MSC: 90C05 90C46 65N30 PDF BibTeX XML Cite \textit{A. I. Lobanov}, Comput. Math. Math. Phys. 58, No. 6, 827--839 (2018; Zbl 1397.90265); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 859--872 (2018) Full Text: DOI
Corot, T.; Mercier, B. A new nodal solver for the two dimensional Lagrangian hydrodynamics. (English) Zbl 1380.76055 J. Comput. Phys. 353, 1-25 (2018). MSC: 76M12 76N15 65M08 PDF BibTeX XML Cite \textit{T. Corot} and \textit{B. Mercier}, J. Comput. Phys. 353, 1--25 (2018; Zbl 1380.76055) Full Text: DOI
Glazova, E. G.; Konstantinov, A. Yu.; Kochetkov, A. V.; Krylov, S. V. Explosive loading of deformable gas-permeable axisymmetric structural elements. (English. Russian original) Zbl 1465.74112 J. Appl. Mech. Tech. Phys. 57, No. 5, 866-872 (2016); translation from Prikl. Mekh. Tekh. Fiz. 57, No. 5, 119-126 (2016). MSC: 74K25 74J40 74C05 PDF BibTeX XML Cite \textit{E. G. Glazova} et al., J. Appl. Mech. Tech. Phys. 57, No. 5, 866--872 (2016; Zbl 1465.74112); translation from Prikl. Mekh. Tekh. Fiz. 57, No. 5, 119--126 (2016) Full Text: DOI
Krunić, Tanja; Nedeljkov, Marko Discrete shock profiles for scalar conservation laws with discontinuous fluxes. (English) Zbl 1332.35220 J. Math. Anal. Appl. 435, No. 1, 986-1010 (2016). MSC: 35L67 35L65 PDF BibTeX XML Cite \textit{T. Krunić} and \textit{M. Nedeljkov}, J. Math. Anal. Appl. 435, No. 1, 986--1010 (2016; Zbl 1332.35220) Full Text: DOI
Vázquez-Cendón, M. Elena Solving hyperbolic equations with finite volume methods. Translated from the Italian by Luz María García-García and Marcos Cobas-García. (English) Zbl 1319.65086 Unitext 90. La Matematica per il 3+2. Cham: Springer (ISBN 978-3-319-14783-3/pbk; 978-3-319-14784-0/ebook). xvii, 188 p. (2015). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M08 65-02 35L40 35L45 35L60 35L65 76B15 76M12 35Q53 35Q35 PDF BibTeX XML Cite \textit{M. E. Vázquez-Cendón}, Solving hyperbolic equations with finite volume methods. Translated from the Italian by Luz María García-García and Marcos Cobas-García. Cham: Springer (2015; Zbl 1319.65086) Full Text: DOI
Mai Duc Thanh Remarks on nonclassical shock waves for van der Waals fluids. (English) Zbl 1233.35141 Acta Math. Vietnam. 36, No. 2, 451-468 (2011). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35L67 35L65 76N10 76L05 35D30 PDF BibTeX XML Cite \textit{Mai Duc Thanh}, Acta Math. Vietnam. 36, No. 2, 451--468 (2011; Zbl 1233.35141) Full Text: Link
Godunov, S. K.; Manuzina, Yu. D.; Nazar’eva, M. A. Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics. (Russian, English) Zbl 1224.35343 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 1, 96-103 (2011); translation in Comput. Math. Math. Phys. 51, No. 1, 88-95 (2011). MSC: 35Q35 65M06 PDF BibTeX XML Cite \textit{S. K. Godunov} et al., Zh. Vychisl. Mat. Mat. Fiz. 51, No. 1, 96--103 (2011; Zbl 1224.35343); translation in Comput. Math. Math. Phys. 51, No. 1, 88--95 (2011) Full Text: DOI
Makotra, O. A.; Moiseev, N. Ya.; Silant’eva, I. Yu.; Topchij, T. V.; Frolova, N. L. Symmetric difference schemes of component-wise splitting and equivalent predictor-corrector scheme based on the Godunov method as applied to multidimensional gasdynamic simulation. (Russian, English) Zbl 1224.76101 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 11, 1970-1987 (2009); translation in Comput. Math., Math. Phys. 49, No. 11, 1885-1901 (2009). MSC: 76M20 65N06 PDF BibTeX XML Cite \textit{O. A. Makotra} et al., Zh. Vychisl. Mat. Mat. Fiz. 49, No. 11, 1970--1987 (2009; Zbl 1224.76101); translation in Comput. Math., Math. Phys. 49, No. 11, 1885--1901 (2009) Full Text: DOI
Golay, Frédéric Numerical entropy production and error indicator for compressible flows. (English) Zbl 1173.76402 C. R., Méc., Acad. Sci. Paris 337, No. 4, 233-237 (2009). MSC: 76N25 PDF BibTeX XML Cite \textit{F. Golay}, C. R., Méc., Acad. Sci. Paris 337, No. 4, 233--237 (2009; Zbl 1173.76402) Full Text: DOI
Karelsky, K. V.; Petrosyan, A. S.; Slavin, A. G. Study of shallow water flows over an arbitrary bed profile in the presence of external force. (Russian. English summary) Zbl 1177.76003 Mat. Model. 21, No. 6, 41-58 (2009). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76-02 76B15 65M06 PDF BibTeX XML Cite \textit{K. V. Karelsky} et al., Mat. Model. 21, No. 6, 41--58 (2009; Zbl 1177.76003) Full Text: MNR
Aganin, A. A.; Ilgamov, L. A.; Khalitova, T. F. Simulation of strong compression of a gas cavity in liquid. (Russian. English summary) Zbl 1164.76416 Mat. Model. 20, No. 11, 89-103 (2008). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76T10 76M25 PDF BibTeX XML Cite \textit{A. A. Aganin} et al., Mat. Model. 20, No. 11, 89--103 (2008; Zbl 1164.76416) Full Text: MNR
Chalons, C.; Goatin, P. Computing phase transitions arising in traffic flow modeling. (English) Zbl 1137.65394 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 559-566 (2008). MSC: 65M06 35L45 90B20 PDF BibTeX XML Cite \textit{C. Chalons} and \textit{P. Goatin}, in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 559--566 (2008; Zbl 1137.65394)
Sitnik, V. V. A forestry influence on an acoustical perturbations propagation. (Russian. English summary) Zbl 1137.76479 Mat. Model. 19, No. 8, 90-96 (2007). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76N15 76Q05 76B60 65Y05 65M50 PDF BibTeX XML Cite \textit{V. V. Sitnik}, Mat. Model. 19, No. 8, 90--96 (2007; Zbl 1137.76479) Full Text: MNR
Sigalotti, Leonardo Di. G.; López, Hender; Donoso, Arnaldo; Sira, Eloy; Klapp, Jaime A shock-capturing SPH scheme based on adaptive kernel estimation. (English) Zbl 1216.76053 J. Comput. Phys. 212, No. 1, 124-149 (2006). MSC: 76M25 76L05 76N15 PDF BibTeX XML Cite \textit{L. Di. G. Sigalotti} et al., J. Comput. Phys. 212, No. 1, 124--149 (2006; Zbl 1216.76053) Full Text: DOI
Azarenok, Boris N.; Ivanenko, Sergey A.; Tang, Tao Adaptive mesh redistribution method based on Godunov’s scheme. (English) Zbl 1084.65089 Commun. Math. Sci. 1, No. 1, 152-179 (2003). MSC: 65M50 65M06 35L65 76N10 76M12 PDF BibTeX XML Cite \textit{B. N. Azarenok} et al., Commun. Math. Sci. 1, No. 1, 152--179 (2003; Zbl 1084.65089) Full Text: DOI Euclid
Bashkin, V. A.; Egorov, I. V.; Ivanov, D. V.; Pafnut’ev, V. V. Three-dimensional laminar streamlining of axially symmetric bodies by supersonic gas flow. (Russian, English) Zbl 1140.76319 Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1864-1874 (2002); translation in Comput. Math. Math. Phys. 42, No. 12, 1792-1801 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 76D05 76M12 76J20 PDF BibTeX XML Cite \textit{V. A. Bashkin} et al., Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1864--1874 (2002; Zbl 1140.76319); translation in Comput. Math. Math. Phys. 42, No. 12, 1792--1801 (2002)
Men’shov, Igor S.; Nakamura, Yoshiaki On implicit Godunov’s method with exactly linearized numerical flux. (English) Zbl 0996.76062 Comput. Fluids 29, No. 6, 595-616 (2000). Reviewer: Mária Lukáčová (Brno) MSC: 76M12 76L05 PDF BibTeX XML Cite \textit{I. S. Men'shov} and \textit{Y. Nakamura}, Comput. Fluids 29, No. 6, 595--616 (2000; Zbl 0996.76062) Full Text: DOI
Godunov, Sergei Konstantinovich Reminiscences about difference schemes. (English) Zbl 0936.65106 J. Comput. Phys. 153, No. 1, 6-25 (1999). Reviewer: E.Emmrich (Berlin) MSC: 65M06 76M20 01A65 65-03 76N15 35L65 PDF BibTeX XML Cite \textit{S. K. Godunov}, J. Comput. Phys. 153, No. 1, 6--25 (1999; Zbl 0936.65106) Full Text: DOI
Burakova, E. M. About one modification of Godunov’s finite-difference scheme for arbitrary cells. (English) Zbl 1028.65095 Bul. Acad. Ştiinţe Repub. Mold., Mat. 1998, No. 3(28), 113-118 (1998). MSC: 65M06 35L65 76N15 76M20 PDF BibTeX XML Cite \textit{E. M. Burakova}, Bul. Acad. Științe Repub. Mold., Mat. 1998, No. 3(28), 113--118 (1998; Zbl 1028.65095)
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R. Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). (English) Zbl 0866.65058 J. Comput. Phys. 131, No. 1, 3-47 (1997). MSC: 65M12 65M06 35L65 PDF BibTeX XML Cite \textit{A. Harten} et al., J. Comput. Phys. 131, No. 1, 3--47 (1997; Zbl 0866.65058) Full Text: DOI
Mladenović, Nikola Numerical solution of the Euler equations using the second order modified Godunov’s scheme. (Serbian) Zbl 1057.76550 Zloković, Đorde (ed.) et al., Proceedings of the 22nd Yugoslav congress of theoretical and applied mechanics, YUCTAM ’97, Vrnjačka Banja, Yugoslavia, June 2–7, 1997. Minisymposium: MC. Computer mechanics. Belgrade: University of Belgrade, Mathematical Institute SANU. 93-98 (1997). Reviewer: Branko Obrović (Kragujevac) MSC: 76M10 PDF BibTeX XML Cite \textit{N. Mladenović}, in: Proceedings of the 22nd Yugoslav congress of theoretical and applied mechanics, YUCTAM '97, Vrnjačka Banja, Yugoslavia, June 2--7, 1997. Minisymposium: MC. Computer mechanics. Belgrade: University of Belgrade, Mathematical Institute SANU. 93--98 (1997; Zbl 1057.76550)
An, C.-F.; Barron, R. M.; Zhang, S. Stream function coordinate Euler formulation and shocktube application. (English) Zbl 0868.76079 Appl. Math. Modelling 20, No. 6, 421-428 (1996). MSC: 76N10 76L05 76M20 PDF BibTeX XML Cite \textit{C. F. An} et al., Appl. Math. Modelling 20, No. 6, 421--428 (1996; Zbl 0868.76079) Full Text: DOI
Grudnitskaya, T. Ya.; Zubov, V. I.; Koterov, V. N.; Krivtsov, V. M.; Shipilin, A. V.; Shcheprov, A. V. Calculation of unsteady flows of saturated vapour in pipelines. (English. Russian original) Zbl 0856.76046 Comput. Math. Math. Phys. 35, No. 6, 779-787 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 6, 977-987 (1995). MSC: 76M20 76T99 PDF BibTeX XML Cite \textit{T. Ya. Grudnitskaya} et al., Comput. Math. Math. Phys. 35, No. 6, 779--787 (1995; Zbl 0856.76046); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 6, 977--987 (1995)
Brown, David L.; Minion, Michael L. Performance of under-resolved two-dimensional incompressible flow simulations. (English) Zbl 0849.76043 J. Comput. Phys. 122, No. 1, 165-183 (1995). Reviewer: A.I.Tolstykh (Moskva) MSC: 76M20 76D05 PDF BibTeX XML Cite \textit{D. L. Brown} and \textit{M. L. Minion}, J. Comput. Phys. 122, No. 1, 165--183 (1995; Zbl 0849.76043) Full Text: DOI Link
Barron, R. M.; An, C-F.; Zhang, S. Unsteady conservative streamfunction coordinate formulation: 1-D isentropic flow. (English) Zbl 0810.76051 Appl. Math. Modelling 18, No. 9, 486-493 (1994). MSC: 76M20 76N10 PDF BibTeX XML Cite \textit{R. M. Barron} et al., Appl. Math. Modelling 18, No. 9, 486--493 (1994; Zbl 0810.76051) Full Text: DOI
Biswas, Rupak; Strawn, Roger C. A new procedure for dynamic adaption of three-dimensional unstructured grids. (English) Zbl 0793.76060 Appl. Numer. Math. 13, No. 6, 437-452 (1994). MSC: 76M25 76H05 PDF BibTeX XML Cite \textit{R. Biswas} and \textit{R. C. Strawn}, Appl. Numer. Math. 13, No. 6, 437--452 (1994; Zbl 0793.76060) Full Text: DOI
Jiang, Guangshan; Wang, Jinghua Entropy consistency of large time step schemes for isentropic equations of gas dynamics. (English) Zbl 0796.76055 Acta Math. Sci. 13, No. 4, 361-383 (1993). MSC: 76M20 76N15 PDF BibTeX XML Cite \textit{G. Jiang} and \textit{J. Wang}, Acta Math. Sci. 13, No. 4, 361--383 (1993; Zbl 0796.76055)
Pember, Richard B. Numerical methods for hyperbolic conservation laws with stiff relaxation. I: Spurious solutions. (English) Zbl 0787.65062 SIAM J. Appl. Math. 53, No. 5, 1293-1330 (1993). Reviewer: P.Y.Yalamov (Russe) MSC: 65M06 65M12 80A25 35L65 PDF BibTeX XML Cite \textit{R. B. Pember}, SIAM J. Appl. Math. 53, No. 5, 1293--1330 (1993; Zbl 0787.65062) Full Text: DOI Link
Casper, Jay; Atkins, H. L. A finite-volume high-order ENO scheme for two-dimensional hyperbolic systems. (English) Zbl 0774.65066 J. Comput. Phys. 106, No. 1, 62-76 (1993). Reviewer: U.Göhner (Leonberg) MSC: 65M06 65M50 35L70 76N15 PDF BibTeX XML Cite \textit{J. Casper} and \textit{H. L. Atkins}, J. Comput. Phys. 106, No. 1, 62--76 (1993; Zbl 0774.65066) Full Text: DOI
De Vuyst, Florian Un nouveau schéma numérique pour la résolution des équations d’Euler compressibles. (A new numerical scheme for solving the compressible Euler equations). (French. Abridged English version) Zbl 0747.76071 C. R. Acad. Sci., Paris, Sér. I 314, No. 7, 577-582 (1992). MSC: 76M20 76N10 65N06 PDF BibTeX XML Cite \textit{F. De Vuyst}, C. R. Acad. Sci., Paris, Sér. I 314, No. 7, 577--582 (1992; Zbl 0747.76071)
Ivanov, M. Ya.; Krupa, V. G. Calculation of the spatial interaction of a shock wave with a boundary layer on a cylinder. (English. Russian original) Zbl 0772.76050 Comput. Math. Math. Phys. 32, No. 4, 531-541 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 4, 623-634 (1992). Reviewer: A.Pil’kevich (Kiev) MSC: 76M20 76L05 76N20 PDF BibTeX XML Cite \textit{M. Ya. Ivanov} and \textit{V. G. Krupa}, Comput. Math. Math. Phys. 32, No. 4, 531--541 (1992; Zbl 0772.76050); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 4, 623--634 (1992)
Ivanov, M. Ya.; Krupa, V. G.; Nigmatullin, R. Z. A high-accuracy version of Godunov’s implicit scheme for integrating the Navier-Stokes equations. (English. Russian original) Zbl 0713.76076 U.S.S.R. Comput. Math. Math. Phys. 29, No. 3, 170-179 (1989); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 6, 888-901 (1989). MSC: 76M20 76D05 PDF BibTeX XML Cite \textit{M. Ya. Ivanov} et al., U.S.S.R. Comput. Math. Math. Phys. 29, No. 3, 170--179 (1989; Zbl 0713.76076); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 6, 888--901 (1989) Full Text: DOI
Wang, Jinghua Remarks on bounds on the discrepancy of approximate solutions constructed by Godunov’s scheme. (English) Zbl 0711.65077 Acta Math. Sci. 9, No. 4, 437-452 (1989). Reviewer: K.T.S.R.Iyengar MSC: 65M15 65M06 35Q35 76N15 PDF BibTeX XML Cite \textit{J. Wang}, Acta Math. Sci. 9, No. 4, 437--452 (1989; Zbl 0711.65077)
Gilquin, H.; Serre, Denis Well-posedness of the Riemann problem; consistency of the Godunov’s scheme. (English) Zbl 0685.65085 Current progress in hyperbolic systems: Riemann problems and computations, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Brunswick/ME (USA) 1988, Contemp. Math. 100, 251-265 (1989). Reviewer: Ph.Brenner MSC: 65M30 35L65 74B20 PDF BibTeX XML
Ben-Artzi, Matania Numerical calculation of reacting flows. (English) Zbl 0684.76106 Nonlinear hyperbolic problems, Proc. Workshop, Bordeaux/Fr. 1988, Lect. Notes Math. 1402, 30-36 (1989). MSC: 76V05 80A32 PDF BibTeX XML
Bourgeat, A.; Cockburn, Bernardo A total variation diminishing-projection method for solving implicit numerical schemes for scalar conservation laws: A numerical study of a simple case. (English) Zbl 0667.65084 SIAM J. Sci. Stat. Comput. 10, No. 2, 253-273 (1989). Reviewer: L.G.Vulkov MSC: 65N12 65N06 35L65 PDF BibTeX XML Cite \textit{A. Bourgeat} and \textit{B. Cockburn}, SIAM J. Sci. Stat. Comput. 10, No. 2, 253--273 (1989; Zbl 0667.65084) Full Text: DOI
Wang, Jinghua; Li, Xuewu; Huang, Jinyang Lax-Friedrichs difference approximations to isentropic equations of gas dynamics. (English) Zbl 0724.76054 Syst. Sci. Math. Sci. 1, No. 2, 109-118 (1988). MSC: 76M20 76N15 PDF BibTeX XML Cite \textit{J. Wang} et al., Syst. Sci. Math. Sci. 1, No. 2, 109--118 (1988; Zbl 0724.76054)
Charakhch’yan, A. A. The effect of false cumulation of Godunov’s scheme on moving grids. (English. Russian original) Zbl 0669.76092 U.S.S.R. Comput. Math. Math. Phys. 28, No. 1, 97-100 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 1, 142-146 (1988). MSC: 76N15 65N99 PDF BibTeX XML Cite \textit{A. A. Charakhch'yan}, U.S.S.R. Comput. Math. Math. Phys. 28, No. 1, 97--100 (1988; Zbl 0669.76092); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 1, 142--146 (1988) Full Text: DOI
Rodionov, A. V. Methods of increasing the accuracy in Godunov’s scheme. (English. Russian original) Zbl 0663.76056 U.S.S.R. Comput. Math. Math. Phys. 27, No. 6, 164-169 (1987); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 12, 1853-1860 (1987). MSC: 76H05 76M99 PDF BibTeX XML Cite \textit{A. V. Rodionov}, U.S.S.R. Comput. Math. Math. Phys. 27, No. 6, 164--169 (1987; Zbl 0663.76056); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 12, 1853--1860 (1987) Full Text: DOI
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar Uniformly high order accurate essentially non-oscillatory schemes. III. (English) Zbl 0652.65067 J. Comput. Phys. 71, 231-303 (1987). Reviewer: P.I.Ialamov MSC: 65M12 65M06 35L65 PDF BibTeX XML Cite \textit{A. Harten} et al., J. Comput. Phys. 71, 231--303 (1987; Zbl 0652.65067) Full Text: DOI
Colella, Phillip; Majda, Andrew; Roytburd, Victor Theoretical and numerical structure for reacting shock waves. (English) Zbl 0633.76060 SIAM J. Sci. Stat. Comput. 7, 1059-1080 (1986). Reviewer: E.F.Zhigalko MSC: 76L05 80A32 65Z05 PDF BibTeX XML Cite \textit{P. Colella} et al., SIAM J. Sci. Stat. Comput. 7, 1059--1080 (1986; Zbl 0633.76060) Full Text: DOI Link
Swartz, Blair K.; Wendroff, Burton AZTEC: A front tracking code based on Godunov’s method. (English) Zbl 0601.76088 Appl. Numer. Math. 2, 385-397 (1986). MSC: 76N15 65N50 76M99 PDF BibTeX XML Cite \textit{B. K. Swartz} and \textit{B. Wendroff}, Appl. Numer. Math. 2, 385--397 (1986; Zbl 0601.76088) Full Text: DOI
Osher, Stanley Convergence of generalized MUSCL schemes. (English) Zbl 0627.35061 SIAM J. Numer. Anal. 22, 947-961 (1985). Reviewer: C.A.de Moura MSC: 35L65 65M06 65M12 PDF BibTeX XML Cite \textit{S. Osher}, SIAM J. Numer. Anal. 22, 947--961 (1985; Zbl 0627.35061) Full Text: DOI Link
Lucier, Bradley J. Error bounds for the methods of Glimm, Godunov and Leveque. (English) Zbl 0584.65059 SIAM J. Numer. Anal. 22, 1074-1081 (1985). Reviewer: G.Hedstrom MSC: 65M15 65M12 35L65 PDF BibTeX XML Cite \textit{B. J. Lucier}, SIAM J. Numer. Anal. 22, 1074--1081 (1985; Zbl 0584.65059) Full Text: DOI
Colella, Phillip A direct Eulerian MUSCL scheme for gas dynamics. (English) Zbl 0562.76072 SIAM J. Sci. Stat. Comput. 6, 104-117 (1985). MSC: 76N15 76M99 PDF BibTeX XML Cite \textit{P. Colella}, SIAM J. Sci. Stat. Comput. 6, 104--117 (1985; Zbl 0562.76072) Full Text: DOI Link
LeVeque, Randall J.; Temple, Blake Stability of Godunov’s method for a class of 2\(\times 2\) systems of conservation laws. (English) Zbl 0561.65067 Trans. Am. Math. Soc. 288, 115-123 (1985). Reviewer: J.M.Sanz-Serna MSC: 65M12 35L65 PDF BibTeX XML Cite \textit{R. J. LeVeque} and \textit{B. Temple}, Trans. Am. Math. Soc. 288, 115--123 (1985; Zbl 0561.65067) Full Text: DOI
Tadmor, Eitan The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs scheme. (English) Zbl 0598.65067 Math. Comput. 43, 353-368 (1984). Reviewer: Gy.Molnárka MSC: 65M12 35L65 PDF BibTeX XML Cite \textit{E. Tadmor}, Math. Comput. 43, 353--368 (1984; Zbl 0598.65067) Full Text: DOI
Kosolapov, Yu. S.; Sivoborod, V. A. Theoretical and numerical investigation of the flow of gas from flat slits and axisymmetric openings. (English. Russian original) Zbl 0549.76053 Fluid Dyn. 19, 266-272 (1984); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1984, No. 2, 109-115 (1984). MSC: 76N15 80A10 PDF BibTeX XML Cite \textit{Yu. S. Kosolapov} and \textit{V. A. Sivoborod}, Fluid Dyn. 19, 266--272 (1984; Zbl 0549.76053); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1984, No. 2, 109--115 (1984) Full Text: DOI
Ben-Artzi, Matania; Falcovitz, Joseph A second-order Godunov-type scheme for compressible fluid dynamics. (English) Zbl 0535.76070 J. Comput. Phys. 55, 1-32 (1984). MSC: 76N10 76M99 PDF BibTeX XML Cite \textit{M. Ben-Artzi} and \textit{J. Falcovitz}, J. Comput. Phys. 55, 1--32 (1984; Zbl 0535.76070) Full Text: DOI
Mikhajlov, Yu. Ya. Notes on the stability of a nonlinear scheme for calculation the motion of a shock wave. (English) Zbl 0623.76073 U.S.S.R. Comput. Math. Math. Phys. 23, No. 5, 113-117 (1983). MSC: 76L05 76N15 76M99 PDF BibTeX XML Cite \textit{Yu. Ya. Mikhajlov}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 5, 113--117 (1983; Zbl 0623.76073) Full Text: DOI
Mikhailov, Yu. Ya. Stability problem for a nonlinear scheme for shock computation. (Russian) Zbl 0603.76065 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 5, 1199-1204 (1983). Reviewer: E.F.Zhigalko MSC: 76L05 76N15 76M99 PDF BibTeX XML Cite \textit{Yu. Ya. Mikhailov}, Zh. Vychisl. Mat. Mat. Fiz. 23, No. 5, 1199--1204 (1983; Zbl 0603.76065)
Charakhch’yan, A. A. A modification of Godunov’s scheme with Euler variables. (English. Russian original) Zbl 0573.76067 U.S.S.R. Comput. Math. Math. Phys. 23, No. 5, 141-144 (1983); translation from Zh. Vychisl. Mat. Mat. Fiz. 23, No. 5, 1240-1244 (1983). MSC: 76N15 76L05 76M99 PDF BibTeX XML Cite \textit{A. A. Charakhch'yan}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 5, 141--144 (1983; Zbl 0573.76067); translation from Zh. Vychisl. Mat. Mat. Fiz. 23, No. 5, 1240--1244 (1983) Full Text: DOI
Kopchënov, V. I.; Krajko, A. N. A monotonic second order difference scheme for hyperbolic systems with two independent variables. (English) Zbl 0561.65068 U.S.S.R. Comput. Math. Math. Phys. 23, No. 4, 50-56 (1983). MSC: 65M25 35L45 76N15 PDF BibTeX XML Cite \textit{V. I. Kopchënov} and \textit{A. N. Krajko}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 4, 50--56 (1983; Zbl 0561.65068) Full Text: DOI
Kopchënov, V. I.; Krajko, A. N. A monotone second order difference scheme for hyperbolic systems with two independent variables. (Russian) Zbl 0538.65052 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 4, 848-859 (1983). Reviewer: R.D.Lazarov MSC: 65M25 35L45 76N15 PDF BibTeX XML Cite \textit{V. I. Kopchënov} and \textit{A. N. Krajko}, Zh. Vychisl. Mat. Mat. Fiz. 23, No. 4, 848--859 (1983; Zbl 0538.65052)
Bell, J. B.; Shubin, G. R. An adaptive grid finite difference method for conservation laws. (English) Zbl 0517.65066 J. Comput. Phys. 52, 569-591 (1983). MSC: 65N06 65N50 76S05 35L65 PDF BibTeX XML Cite \textit{J. B. Bell} and \textit{G. R. Shubin}, J. Comput. Phys. 52, 569--591 (1983; Zbl 0517.65066) Full Text: DOI
Koretskij, V. V. On properties of the monotone difference scheme constructed on the basis of Godunov’s method with the use of the principle of minimal values of the derivative. (Russian) Zbl 0527.76061 Chislennye Metody Mekh. Sploshnoj Sredy 13, No. 4, 52-62 (1982). MSC: 76N15 76M99 PDF BibTeX XML
LeVeque, Randall J. Large time step shock-capturing techniques for scalar conservation laws. (English) Zbl 0493.65040 SIAM J. Numer. Anal. 19, 1091-1109 (1982). MSC: 65M12 65M15 76L05 76N15 35L65 35L67 PDF BibTeX XML Cite \textit{R. J. LeVeque}, SIAM J. Numer. Anal. 19, 1091--1109 (1982; Zbl 0493.65040) Full Text: DOI
Gilinskij, M. M.; Zak, L. I. Approximate description of the flow of a two-phase mixture in a strongly underexpanded jet exhausting from a conical nozzle onto an obstacle. (English. Russian original) Zbl 0498.76092 Fluid Dyn. 16, 843-850 (1982); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1981, No. 6, 53-60 (1981). MSC: 76T99 76M99 76B10 PDF BibTeX XML Cite \textit{M. M. Gilinskij} and \textit{L. I. Zak}, Fluid Dyn. 16, 843--850 (1981; Zbl 0498.76092); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1981, No. 6, 53--60 (1981) Full Text: DOI
Crandall, Michael G.; Majda, Andrew Monotone difference approximations for scalar conservation laws. (English) Zbl 0423.65052 Math. Comput. 34, 1-21 (1980). MSC: 65M12 65M06 35L65 PDF BibTeX XML Cite \textit{M. G. Crandall} and \textit{A. Majda}, Math. Comput. 34, 1--21 (1980; Zbl 0423.65052) Full Text: DOI