Avdyushenko, Aleksandr Yur’evich; Chërnyĭ, Sergeĭ Grigorevich; Chirkov, Denis Vladimirovich Numerical algorithm for modelling three-dimensional flows of an incompressible fluid using moving grids. (Russian. English summary) Zbl 1421.76005 Vychisl. Tekhnol. 17, No. 6, 3-25 (2012). MSC: 76-04 76B99 76M25 PDFBibTeX XMLCite \textit{A. Y. Avdyushenko} et al., Vychisl. Tekhnol. 17, No. 6, 3--25 (2012; Zbl 1421.76005) Full Text: Link
Sommer, Anna Fedorovna; Shokina, Nina Yur’evna On some problems of construction of two-dimensional difference schemes on moving grids. (Russian. English summary) Zbl 1420.65102 Vychisl. Tekhnol. 17, No. 4, 88-108 (2012). MSC: 65M60 PDFBibTeX XMLCite \textit{A. F. Sommer} and \textit{N. Y. Shokina}, Vychisl. Tekhnol. 17, No. 4, 88--108 (2012; Zbl 1420.65102) Full Text: Link
Senashov, S. I.; Filyushina, E. V. An analytical solution to the load wave problem in an elastoplastic rod. (Russian) Zbl 1438.74103 Din. Splosh. Sredy 127, 94-96 (2012). Reviewer: N. I. Alexandrova (Novosibirsk) MSC: 74K10 74J10 PDFBibTeX XMLCite \textit{S. I. Senashov} and \textit{E. V. Filyushina}, Din. Splosh. Sredy 127, 94--96 (2012; Zbl 1438.74103)
Thanh, Mai Duc; Kröner, Dietmar Numerical treatment of nonconservative terms in resonant regime for fluid flows in a nozzle with variable cross-section. (English) Zbl 1365.76200 Comput. Fluids 66, 130-139 (2012). MSC: 76M20 65M06 76N15 35Q35 35L65 PDFBibTeX XMLCite \textit{M. D. Thanh} and \textit{D. Kröner}, Comput. Fluids 66, 130--139 (2012; Zbl 1365.76200) Full Text: DOI
Diot, Steven; Clain, Stéphane; Loubère, Raphaël Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials. (English) Zbl 1365.76149 Comput. Fluids 64, 43-63 (2012). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{S. Diot} et al., Comput. Fluids 64, 43--63 (2012; Zbl 1365.76149) Full Text: DOI
Hu, Weipeng; Deng, Zichen; Han, Songmei An implicit difference scheme focusing on the local conservation properties for Burgers equation. (English) Zbl 1359.65151 Int. J. Comput. Methods 9, No. 2, Article ID 1240028, 15 p. (2012). MSC: 65M06 35L65 35Q35 PDFBibTeX XMLCite \textit{W. Hu} et al., Int. J. Comput. Methods 9, No. 2, Article ID 1240028, 15 p. (2012; Zbl 1359.65151) Full Text: DOI
Hu, Wei-Peng; Deng, Zi-Chen; Qin, Yu-Yue; Zhang, Wen-Rong Multi-symplectic method for the generalized (2+1)-dimensional KdV-mKdV equation. (English) Zbl 1345.35089 Acta Mech. Sin. 28, No. 3, 793-800 (2012). MSC: 35Q53 PDFBibTeX XMLCite \textit{W.-P. Hu} et al., Acta Mech. Sin. 28, No. 3, 793--800 (2012; Zbl 1345.35089) Full Text: DOI
Kovalev, V. A.; Radayev, Yu. N. On precisely conserved quantities of coupled micropolar thermoelastic field. (Russian. English summary) Zbl 1326.74041 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 12, No. 4, 71-79 (2012). MSC: 74F05 74B20 PDFBibTeX XMLCite \textit{V. A. Kovalev} and \textit{Yu. N. Radayev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 12, No. 4, 71--79 (2012; Zbl 1326.74041) Full Text: MNR
Ostrosablin, N. I. Diagonalization of the system of static Lamé equations of isotropic linear elasticity. (Russian, English) Zbl 1324.74006 Sib. Zh. Ind. Mat. 15, No. 3, 87-98 (2012); translation in J. Appl. Ind. Math. 7, No. 1, 89-99 (2013). MSC: 74B05 35Q74 PDFBibTeX XMLCite \textit{N. I. Ostrosablin}, Sib. Zh. Ind. Mat. 15, No. 3, 87--98 (2012; Zbl 1324.74006); translation in J. Appl. Ind. Math. 7, No. 1, 89--99 (2013) Full Text: DOI
Thanh, Mai Duc; Kröner, Dietmar; Chalons, Christophe A robust numerical method for approximating solutions of a model of two-phase flows and its properties. (English) Zbl 1291.76325 Appl. Math. Comput. 219, No. 1, 320-344 (2012). MSC: 76T10 76M25 76L05 PDFBibTeX XMLCite \textit{M. D. Thanh} et al., Appl. Math. Comput. 219, No. 1, 320--344 (2012; Zbl 1291.76325) Full Text: DOI
Anco, Stephen C.; Mohiuddin, Mohammad; Wolf, Thomas Traveling waves and conservation laws for complex mKdV-type equations. (English) Zbl 1302.35242 Appl. Math. Comput. 219, No. 2, 679-698 (2012). MSC: 35L65 35Q30 PDFBibTeX XMLCite \textit{S. C. Anco} et al., Appl. Math. Comput. 219, No. 2, 679--698 (2012; Zbl 1302.35242) Full Text: DOI arXiv
Zheng, Shenzhou Weak compactness of biharmonic maps. (English) Zbl 1288.31012 Electron. J. Differ. Equ. 2012, Paper No. 190, 7 p. (2012). MSC: 31B30 35D30 35J30 PDFBibTeX XMLCite \textit{S. Zheng}, Electron. J. Differ. Equ. 2012, Paper No. 190, 7 p. (2012; Zbl 1288.31012) Full Text: EMIS
Dubey, Ritesh Kumar Total variation stability and second-order accuracy at extrema. (English) Zbl 1292.65099 Electron. J. Differ. Equ. 2013, Conf. 20, 53-63 (2013). MSC: 65M12 35L65 65M06 65M15 PDFBibTeX XMLCite \textit{R. K. Dubey}, Electron. J. Differ. Equ. 2013, 53--63 (2012; Zbl 1292.65099) Full Text: EMIS
Verbovetsky, A. M.; Vitolo, R.; Kersten, P.; Krasil’shchik, I. S. Integrable structures for a generalized Monge-Ampère equation. (English. Russian original) Zbl 1417.37238 Theor. Math. Phys. 171, No. 2, 600-615 (2012); translation from Teor. Mat. Fiz. 171, No. 2, 208-224 (2012). MSC: 37K10 37K05 57R56 81T45 PDFBibTeX XMLCite \textit{A. M. Verbovetsky} et al., Theor. Math. Phys. 171, No. 2, 600--615 (2012; Zbl 1417.37238); translation from Teor. Mat. Fiz. 171, No. 2, 208--224 (2012) Full Text: DOI arXiv
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. (English) Zbl 1277.76100 Int. J. Numer. Anal. Model. 9, No. 3, 562-583 (2012). MSC: 76S05 35L65 35J15 35Q35 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., Int. J. Numer. Anal. Model. 9, No. 3, 562--583 (2012; Zbl 1277.76100) Full Text: Link
Jiang, Nan The convergence of \(\alpha\) schemes for conservation laws. I: Semi-discrete case. (English) Zbl 1306.65253 Methods Appl. Anal. 19, No. 4, 341-358 (2012). MSC: 65M12 65M20 35L65 65M06 PDFBibTeX XMLCite \textit{N. Jiang}, Methods Appl. Anal. 19, No. 4, 341--358 (2012; Zbl 1306.65253) Full Text: DOI
Havelková, Monika Symmetries of a dynamical system represented by singular Lagrangians. (English) Zbl 1271.70029 Commun. Math. 20, No. 1, 23-32 (2012). MSC: 70H03 70H33 70H45 PDFBibTeX XMLCite \textit{M. Havelková}, Commun. Math. 20, No. 1, 23--32 (2012; Zbl 1271.70029) Full Text: Link
Chun, Sehun Erratum to: Method of moving frames to solve conservation laws on curved surfaces. (English) Zbl 1273.65139 J. Sci. Comput. 53, No. 2, 481 (2012). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 35L65 58J45 PDFBibTeX XMLCite \textit{S. Chun}, J. Sci. Comput. 53, No. 2, 481 (2012; Zbl 1273.65139) Full Text: DOI
Chun, Sehun Method of moving frames to solve conservation laws on curved surfaces. (English) Zbl 1273.65138 J. Sci. Comput. 53, No. 2, 268-294 (2012); erratum ibid. 53, No. 2, 481 (2012). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 35L65 58J45 PDFBibTeX XMLCite \textit{S. Chun}, J. Sci. Comput. 53, No. 2, 268--294 (2012; Zbl 1273.65138) Full Text: DOI
Kuramae, Hiroaki; Matsuo, Takayasu An alternating discrete variational derivative method for coupled partial differential equations. (English) Zbl 1271.65129 JSIAM Lett. 4, 29-32 (2012). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{H. Kuramae} and \textit{T. Matsuo}, JSIAM Lett. 4, 29--32 (2012; Zbl 1271.65129) Full Text: DOI Link
Ercolani, Nicholas M.; Pierce, Virgil U. The continuum limit of Toda lattices for random matrices with odd weights. (English) Zbl 1269.05059 Commun. Math. Sci. 10, No. 1, 267-305 (2012). MSC: 05C30 34M55 60B20 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{V. U. Pierce}, Commun. Math. Sci. 10, No. 1, 267--305 (2012; Zbl 1269.05059) Full Text: DOI arXiv
Jhangeer, Adil; Qureshi, M. N.; Sial, S.; Sharif, S. Analytic solutions and conserved quantities of wave equation on torus. (English) Zbl 1268.35006 Comput. Math. Appl. 64, No. 6, 1627-1635 (2012). MSC: 35A30 35L10 PDFBibTeX XMLCite \textit{A. Jhangeer} et al., Comput. Math. Appl. 64, No. 6, 1627--1635 (2012; Zbl 1268.35006) Full Text: DOI
Xia, Tiecheng; Chaolu, Temuer The conservation laws and self-consistent sources for a super-Yang hierarchy. (English) Zbl 1268.37084 Nonlinear Dyn. 70, No. 3, 1951-1958 (2012). MSC: 37K10 17B65 35Q51 PDFBibTeX XMLCite \textit{T. Xia} and \textit{T. Chaolu}, Nonlinear Dyn. 70, No. 3, 1951--1958 (2012; Zbl 1268.37084) Full Text: DOI
Pawlak, Martina; Sonar, Thomas A spectral difference method with Dubiner polynomials on triangulations. (English) Zbl 1303.65070 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, 610-616 (2012). MSC: 65M06 35L65 65M70 35L02 65M12 PDFBibTeX XMLCite \textit{M. Pawlak} and \textit{T. Sonar}, Ser. Contemp. Appl. Math. CAM 18, 610--616 (2012; Zbl 1303.65070)
Montecinos, Gino; Toro, Eleuterio Solver for the generalized Riemann problem for balance laws with stiff source terms: the scalar case. (English) Zbl 1306.65251 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, 576-583 (2012). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{G. Montecinos} and \textit{E. Toro}, Ser. Contemp. Appl. Math. CAM 18, 576--583 (2012; Zbl 1306.65251)
Engel, P.; Rohde, C. On the space-time expansion discontinuous Galerkin method. (English) Zbl 1286.65123 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, 406-413 (2012). MSC: 65M60 35L65 65M12 65M15 PDFBibTeX XMLCite \textit{P. Engel} and \textit{C. Rohde}, Ser. Contemp. Appl. Math. CAM 18, 406--413 (2012; Zbl 1286.65123)
Banda, Mapundi K.; Herty, Michael Adjoint IMEX-based schemes for the numerical solution of optimal control problems governed by conservation laws. (English) Zbl 1284.65073 Li, Tatsien (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Vol. 1. 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 978-981-4417-07-5/v.1; 978-981-4417-06-8/set). Series in Contemporary Applied Mathematics CAM 17, 297-303 (2012). MSC: 65K10 49J20 49M20 PDFBibTeX XMLCite \textit{M. K. Banda} and \textit{M. Herty}, Ser. Contemp. Appl. Math. CAM 17, 297--303 (2012; Zbl 1284.65073)
Mehmetoglu, Orhan; Popov, Bojan Maximum principle of central schemes with \(k\)-monotone fluxes. (English) Zbl 1284.65106 Li, Tatsien (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Vol. 1. 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 978-981-4417-07-5/v.1; 978-981-4417-06-8/set). Series in Contemporary Applied Mathematics CAM 17, 227-237 (2012). MSC: 65M06 65M12 35L65 35B50 PDFBibTeX XMLCite \textit{O. Mehmetoglu} and \textit{B. Popov}, Ser. Contemp. Appl. Math. CAM 17, 227--237 (2012; Zbl 1284.65106)
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan Entropy stable ENO scheme. (English) Zbl 1284.65117 Li, Tatsien (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Vol. 1. 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 978-981-4417-07-5/v.1; 978-981-4417-06-8/set). Series in Contemporary Applied Mathematics CAM 17, 12-27 (2012). MSC: 65M12 65M06 35L65 65M50 PDFBibTeX XMLCite \textit{U. S. Fjordholm} et al., Ser. Contemp. Appl. Math. CAM 17, 12--27 (2012; Zbl 1284.65117)
Shokina, N. Yu. To the problem of construction of difference schemes on movable grids. (English) Zbl 1264.65142 Russ. J. Numer. Anal. Math. Model. 27, No. 6, 603-626 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M06 35L02 76B15 76M20 65M50 PDFBibTeX XMLCite \textit{N. Yu. Shokina}, Russ. J. Numer. Anal. Math. Model. 27, No. 6, 603--626 (2012; Zbl 1264.65142) Full Text: DOI
Bressan, Alberto; Han, Ke Nash equilibria for a model of traffic flow with several groups of drivers. (English) Zbl 1262.35199 ESAIM, Control Optim. Calc. Var. 18, No. 4, 969-986 (2012). MSC: 35Q91 35F21 35E15 35L65 49K20 90B20 91A12 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{K. Han}, ESAIM, Control Optim. Calc. Var. 18, No. 4, 969--986 (2012; Zbl 1262.35199) Full Text: DOI
Chiu, Edmond Kwan-Yu; Wang, Qiqi; Hu, Rui; Jameson, Antony A conservative mesh-free scheme and generalized framework for conservation laws. (English) Zbl 1269.65077 SIAM J. Sci. Comput. 34, No. 6, A2896-A2916 (2012). Reviewer: Yaşar Sözen (Istanbul) MSC: 65M06 65M08 35L65 65M12 65M50 35L02 PDFBibTeX XMLCite \textit{E. K. Y. Chiu} et al., SIAM J. Sci. Comput. 34, No. 6, A2896--A2916 (2012; Zbl 1269.65077) Full Text: DOI Link
Liu, Hanze; Li, Jibin; Liu, Lei Symmetry and conservation law classification and exact solutions to the generalized KdV types of equations. (English) Zbl 1258.35177 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 8, Paper No. 1250188, 11 p. (2012). MSC: 35Q53 35B06 35A30 PDFBibTeX XMLCite \textit{H. Liu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 8, Paper No. 1250188, 11 p. (2012; Zbl 1258.35177) Full Text: DOI
Kong, Linghua; Duan, Yali; Wang, Lan; Yin, Xiuling; Ma, Yuanping Spectral-like resolution compact ADI finite difference method for the multi-dimensional Schrödinger equations. (English) Zbl 1255.81014 Math. Comput. Modelling 55, No. 5-6, 1798-1812 (2012). MSC: 81-08 81Q05 65M06 65M12 PDFBibTeX XMLCite \textit{L. Kong} et al., Math. Comput. Modelling 55, No. 5--6, 1798--1812 (2012; Zbl 1255.81014) Full Text: DOI
Wang, Lijuan Large-time behavior of solutions for parabolic conservation laws with large initial data. (English) Zbl 1265.35144 Chin. Q. J. Math. 27, No. 2, 232-237 (2012). MSC: 35K55 35B10 35B40 PDFBibTeX XMLCite \textit{L. Wang}, Chin. Q. J. Math. 27, No. 2, 232--237 (2012; Zbl 1265.35144)
Christoforou, Cleopatra; Trivisa, Konstantina Decay of positive waves of hyperbolic balance laws. (English) Zbl 1265.35213 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 352-366 (2012). MSC: 35L65 76N10 35B45 PDFBibTeX XMLCite \textit{C. Christoforou} and \textit{K. Trivisa}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 352--366 (2012; Zbl 1265.35213) Full Text: DOI
Amadori, Debora; Francesco, M. Di The one-dimensional Hughes model for pedestrian flow: Riemann-type solutions. (English) Zbl 1265.35210 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 259-280 (2012). MSC: 35L65 35Q91 PDFBibTeX XMLCite \textit{D. Amadori} and \textit{M. Di Francesco}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 259--280 (2012; Zbl 1265.35210) Full Text: DOI
Li, Liangshu; Zhou, Zhenrong Monotonicity of \(F\)-stationary maps. (English) Zbl 1265.58005 J. Math., Wuhan Univ. 32, No. 1, 17-24 (2012). MSC: 58E20 PDFBibTeX XMLCite \textit{L. Li} and \textit{Z. Zhou}, J. Math., Wuhan Univ. 32, No. 1, 17--24 (2012; Zbl 1265.58005)
Wu, Qiang; Ullah, M. A. A modified Baer-Nunziato model of multifluid flow and its Lax-Wendroff scheme. (Chinese. English summary) Zbl 1265.76052 J. Hefei Univ. Technol., Nat. Sci. 35, No. 3, 417-420 (2012). MSC: 76M20 76S05 65N06 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{M. A. Ullah}, J. Hefei Univ. Technol., Nat. Sci. 35, No. 3, 417--420 (2012; Zbl 1265.76052)
Meng, Xiong; Shu, Chi-Wang; Zhang, Qiang; Wu, Boying Superconvergence of discontinuous Galerkin methods for scalar nonlinear conservation laws in one space dimension. (English) Zbl 1267.65115 SIAM J. Numer. Anal. 50, No. 5, 2336-2356 (2012). Reviewer: Pavel Burda (Praha) MSC: 65M12 65M60 35L65 65M15 PDFBibTeX XMLCite \textit{X. Meng} et al., SIAM J. Numer. Anal. 50, No. 5, 2336--2356 (2012; Zbl 1267.65115) Full Text: DOI Link
Amorim, Paulo On a nonlocal hyperbolic conservation law arising from a gradient constraint problem. (English) Zbl 1255.35164 Bull. Braz. Math. Soc. (N.S.) 43, No. 4, 599-614 (2012). MSC: 35L65 35L03 35B35 PDFBibTeX XMLCite \textit{P. Amorim}, Bull. Braz. Math. Soc. (N.S.) 43, No. 4, 599--614 (2012; Zbl 1255.35164) Full Text: DOI arXiv
Achleitner, Franz; Szmolyan, Peter Saddle-node bifurcation of viscous profiles. (English) Zbl 1257.35033 Physica D 241, No. 20, 1703-1717 (2012). MSC: 35B32 35L65 35C07 35B35 76W05 PDFBibTeX XMLCite \textit{F. Achleitner} and \textit{P. Szmolyan}, Physica D 241, No. 20, 1703--1717 (2012; Zbl 1257.35033) Full Text: DOI
von Renesse, Max-K. An optimal transport view of Schrödinger’s equation. (English) Zbl 1256.81072 Can. Math. Bull. 55, No. 4, 858-869 (2012). MSC: 81S20 82C70 37K05 81Q70 81Q05 PDFBibTeX XMLCite \textit{M.-K. von Renesse}, Can. Math. Bull. 55, No. 4, 858--869 (2012; Zbl 1256.81072) Full Text: DOI arXiv
Perrollaz, Vincent Exact controllability of scalar conservation laws with an additional control in the context of entropy solutions. (English) Zbl 1252.93027 SIAM J. Control Optim. 50, No. 4, 2025-2045 (2012). MSC: 93B05 93C20 93C10 35L65 35L67 PDFBibTeX XMLCite \textit{V. Perrollaz}, SIAM J. Control Optim. 50, No. 4, 2025--2045 (2012; Zbl 1252.93027) Full Text: DOI HAL
Matus, P. P.; Panayotova, I. N.; Polyakov, D. B. Stability and monotonicity of a conservative difference scheme for a multidimensional nonlinear scalar conservation law. (English. Russian original) Zbl 1261.65093 Differ. Equ. 48, No. 7, 982-989 (2012); translation from Differ. Uravn. 48, No. 7, 997-1004 (2012). Reviewer: Yaşar Sözen (Istanbul) MSC: 65M12 65M06 35L65 PDFBibTeX XMLCite \textit{P. P. Matus} et al., Differ. Equ. 48, No. 7, 982--989 (2012; Zbl 1261.65093); translation from Differ. Uravn. 48, No. 7, 997--1004 (2012) Full Text: DOI
Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics. (English) Zbl 1282.74032 Arch. Ration. Mech. Anal. 205, No. 3, 927-961 (2012). MSC: 74H25 35Q74 PDFBibTeX XMLCite \textit{S. Demoulini} et al., Arch. Ration. Mech. Anal. 205, No. 3, 927--961 (2012; Zbl 1282.74032) Full Text: DOI arXiv
Chen, Gui-Qiang; Ding, Qian; Karlsen, Kenneth H. On nonlinear stochastic balance laws. (English) Zbl 1261.60062 Arch. Ration. Mech. Anal. 204, No. 3, 707-743 (2012). Reviewer: Martin Ondreját (Praha) MSC: 60H15 35L03 35L65 PDFBibTeX XMLCite \textit{G.-Q. Chen} et al., Arch. Ration. Mech. Anal. 204, No. 3, 707--743 (2012; Zbl 1261.60062) Full Text: DOI arXiv
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
Blandin, Sébastien; Couque, Adrien; Bayen, Alexandre; Work, Daniel On sequential data assimilation for scalar macroscopic traffic flow models. (English) Zbl 1247.90087 Physica D 241, No. 17, 1421-1440 (2012). MSC: 90B20 91B69 35L67 PDFBibTeX XMLCite \textit{S. Blandin} et al., Physica D 241, No. 17, 1421--1440 (2012; Zbl 1247.90087) Full Text: DOI
Tian, Shou-Fu; Zou, Li; Ding, Qi; Zhang, Hong-Qing Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity. (English) Zbl 1247.35154 Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3247-3257 (2012). MSC: 35Q55 35C08 35L65 35B35 PDFBibTeX XMLCite \textit{S.-F. Tian} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3247--3257 (2012; Zbl 1247.35154) Full Text: DOI arXiv
Hao, Shu-Yan; Xie, Shu-Sen; Yi, Su-Cheol The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials. (English) Zbl 1245.65127 Appl. Math. Comput. 218, No. 17, 8659-8671 (2012). MSC: 65M60 PDFBibTeX XMLCite \textit{S.-Y. Hao} et al., Appl. Math. Comput. 218, No. 17, 8659--8671 (2012; Zbl 1245.65127) Full Text: DOI
Mackenzie, J. A.; Mekwi, W. R. An unconditionally stable second-order accurate ALE-FEM scheme for two-dimensional convection-diffusion problems. (English) Zbl 1267.65121 IMA J. Numer. Anal. 32, No. 3, 888-905 (2012). Reviewer: S. Burys (Kraków) MSC: 65M20 65M60 65M12 35K20 65M06 PDFBibTeX XMLCite \textit{J. A. Mackenzie} and \textit{W. R. Mekwi}, IMA J. Numer. Anal. 32, No. 3, 888--905 (2012; Zbl 1267.65121) Full Text: DOI
Kim, Eun Heui An interaction of a rarefaction wave and a transonic shock for the self-similar two-dimensional nonlinear wave system. (English) Zbl 1255.35167 Commun. Partial Differ. Equations 37, No. 4-6, 610-646 (2012). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L67 76G25 76J20 35L65 35L70 35R35 35M10 35J65 PDFBibTeX XMLCite \textit{E. H. Kim}, Commun. Partial Differ. Equations 37, No. 4--6, 610--646 (2012; Zbl 1255.35167) Full Text: DOI
Wang, Peng Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system. (English) Zbl 1315.70009 Nonlinear Dyn. 68, No. 1-2, 53-62 (2012). MSC: 70H11 70F25 70H33 PDFBibTeX XMLCite \textit{P. Wang}, Nonlinear Dyn. 68, No. 1--2, 53--62 (2012; Zbl 1315.70009) Full Text: DOI
Wang, Yun-Hu; Chen, Yong Conservation laws and self-consistent sources for a super integrable equation hierarchy. (English) Zbl 1264.37018 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2292-2298 (2012). MSC: 37K05 35A30 35Q53 37K10 17B80 PDFBibTeX XMLCite \textit{Y.-H. Wang} and \textit{Y. Chen}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2292--2298 (2012; Zbl 1264.37018) Full Text: DOI
Bojko, V. M.; Popovych, R. O. Potential conservation laws of linear evolution equations with single potential. (Ukrainian. English summary) Zbl 1249.35011 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 4, 7-14 (2012). MSC: 35B06 35L65 35A30 35F05 35G05 PDFBibTeX XMLCite \textit{V. M. Bojko} and \textit{R. O. Popovych}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 4, 7--14 (2012; Zbl 1249.35011)
Ehrt, Julia Parametrizations of sub-attractors in hyperbolic balance laws. (English) Zbl 1252.35196 Proc. R. Soc. Edinb., Sect. A, Math. 142, No. 3, 563-583 (2012). Reviewer: Jörg Härterich (Bochum) MSC: 35L65 35L67 35B41 35L50 PDFBibTeX XMLCite \textit{J. Ehrt}, Proc. R. Soc. Edinb., Sect. A, Math. 142, No. 3, 563--583 (2012; Zbl 1252.35196) Full Text: DOI
Pogan, Alin; Scheel, Arnd Layers in the presence of conservation laws. (English) Zbl 1260.37051 J. Dyn. Differ. Equations 24, No. 2, 249-287 (2012). Reviewer: Ana Rodrigues (Uppsala) MSC: 37L15 PDFBibTeX XMLCite \textit{A. Pogan} and \textit{A. Scheel}, J. Dyn. Differ. Equations 24, No. 2, 249--287 (2012; Zbl 1260.37051) Full Text: DOI
Wang, Hui; Xia, Tie-Cheng Conservation laws for a super G-J hierarchy with self-consistent sources. (English) Zbl 1245.37011 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 566-572 (2012). MSC: 37K10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{T.-C. Xia}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 566--572 (2012; Zbl 1245.37011) Full Text: DOI
Mai Duc Thanh On a two-fluid model of two-phase compressible flows and its numerical approximation. (English) Zbl 1242.76246 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 195-211 (2012). MSC: 76M25 76T20 PDFBibTeX XMLCite \textit{Mai Duc Thanh}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 195--211 (2012; Zbl 1242.76246) Full Text: DOI
Li, Banghe The reason of Hopf’s and Oleinik’s proofs for countability of shocks being wrong. (English) Zbl 1239.35095 Sci. China, Math. 55, No. 4, 727-729 (2012). MSC: 35L65 35L67 PDFBibTeX XMLCite \textit{B. Li}, Sci. China, Math. 55, No. 4, 727--729 (2012; Zbl 1239.35095) Full Text: DOI
van der Pijl, S. P.; Oosterlee, C. W. An ENO-based method for second-order equations and application to the control of dike levels. (English) Zbl 1245.65077 J. Sci. Comput. 50, No. 2, 462-492 (2012). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 35K20 49L25 35F21 91B62 49J20 49M25 35L65 65M06 PDFBibTeX XMLCite \textit{S. P. van der Pijl} and \textit{C. W. Oosterlee}, J. Sci. Comput. 50, No. 2, 462--492 (2012; Zbl 1245.65077) Full Text: DOI
Mai Duc Thanh Exact solutions of a two-fluid model of two-phase compressible flows with gravity. (English) Zbl 1238.76047 Nonlinear Anal., Real World Appl. 13, No. 2, 987-998 (2012). MSC: 76T20 PDFBibTeX XMLCite \textit{Mai Duc Thanh}, Nonlinear Anal., Real World Appl. 13, No. 2, 987--998 (2012; Zbl 1238.76047) Full Text: DOI
Kühnlein, Christian; Smolarkiewicz, Piotr K.; Dörnbrack, Andreas Modelling atmospheric flows with adaptive moving meshes. (English) Zbl 1426.76390 J. Comput. Phys. 231, No. 7, 2741-2763 (2012). MSC: 76M12 76U05 86A10 PDFBibTeX XMLCite \textit{C. Kühnlein} et al., J. Comput. Phys. 231, No. 7, 2741--2763 (2012; Zbl 1426.76390) Full Text: DOI Link
Zhang, Laiping; Liu, Wei; He, Lixin; Deng, Xiaogang; Zhang, Hanxin A class of hybrid DG/FV methods for conservation laws. II: Two-dimensional cases. (English) Zbl 1242.65206 J. Comput. Phys. 231, No. 4, 1104-1120 (2012). MSC: 65M60 65M08 35L65 65M20 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Phys. 231, No. 4, 1104--1120 (2012; Zbl 1242.65206) Full Text: DOI
Hu, Xiaorui; Chen, Yong A direct procedure on the integrability of nonisospectral and variable-coefficient MKdV equation. (English) Zbl 1246.35180 J. Nonlinear Math. Phys. 19, No. 1, 1250002, 11 p. (2012). MSC: 35Q53 37K10 37K35 PDFBibTeX XMLCite \textit{X. Hu} and \textit{Y. Chen}, J. Nonlinear Math. Phys. 19, No. 1, 1250002, 11 p. (2012; Zbl 1246.35180) Full Text: DOI
Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen Asymptotic limit in a cell differentiation model with consideration of transcription. (English) Zbl 1267.34078 J. Differ. Equations 252, No. 10, 5679-5711 (2012). Reviewer: Svetlin Georgiev (Rousse) MSC: 34C60 92C37 34D05 PDFBibTeX XMLCite \textit{A. Friedman} et al., J. Differ. Equations 252, No. 10, 5679--5711 (2012; Zbl 1267.34078) Full Text: DOI
Asserda, Saïd Liouville-type results for stationary maps of a class of functional related to pullback metrics. (English) Zbl 1239.58006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3480-3492 (2012). MSC: 58E20 53C21 PDFBibTeX XMLCite \textit{S. Asserda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3480--3492 (2012; Zbl 1239.58006) Full Text: DOI arXiv
Xu, Shihe; Bai, Meng; Zhao, Xiangqing Analysis of a solid avascular tumor growth model with time delays in proliferation process. (English) Zbl 1241.35211 J. Math. Anal. Appl. 391, No. 1, 38-47 (2012). MSC: 35Q92 35K57 35R35 35B40 92C50 PDFBibTeX XMLCite \textit{S. Xu} et al., J. Math. Anal. Appl. 391, No. 1, 38--47 (2012; Zbl 1241.35211) Full Text: DOI
Lebedev, Leonid P.; Cloud, Michael J.; Eremeyev, Victor A. Advanced engineering analysis. The calculus of variations and functional analysis with applications in mechanics. (English) Zbl 1255.49001 Hackensack, NJ: World Scientific (ISBN 978-981-4390-47-7/hbk; 978-981-4390-48-4/ebook). x, 489 p. (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 49-01 00A06 46-01 PDFBibTeX XMLCite \textit{L. P. Lebedev} et al., Advanced engineering analysis. The calculus of variations and functional analysis with applications in mechanics. Hackensack, NJ: World Scientific (2012; Zbl 1255.49001) Full Text: DOI
Crnković, Bojan; Črnjarić-Žic, Nelida Binary weighted essentially non-oscillatory (BWENO) approximation. (English) Zbl 1235.65111 J. Comput. Appl. Math. 236, No. 9, 2431-2451 (2012). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{B. Crnković} and \textit{N. Črnjarić-Žic}, J. Comput. Appl. Math. 236, No. 9, 2431--2451 (2012; Zbl 1235.65111) Full Text: DOI
Huang, Ding-jiang; Zhou, Shuigeng Group-theoretical analysis of variable coefficient nonlinear telegraph equations. (English) Zbl 1242.35175 Acta Appl. Math. 117, No. 1, 135-183 (2012). MSC: 35L72 35A22 35A30 35C05 35B06 PDFBibTeX XMLCite \textit{D.-j. Huang} and \textit{S. Zhou}, Acta Appl. Math. 117, No. 1, 135--183 (2012; Zbl 1242.35175) Full Text: DOI arXiv
Sundén, Bengt Introduction to heat transfer. (English) Zbl 1259.80002 Southampton: WIT Press (ISBN 978-1-84564-656-1/hbk; 978-1-84564-657-8/ebook). xv, 344 p. (2012). Reviewer: Alain Brillard (Riedisheim) MSC: 80-01 80A20 35K05 35Q30 PDFBibTeX XMLCite \textit{B. Sundén}, Introduction to heat transfer. Southampton: WIT Press (2012; Zbl 1259.80002)
Cattani, Anna; Colombo, Rinaldo M.; Guerra, Graziano A hyperbolic model for granular flow. (English) Zbl 1327.76156 ZAMM, Z. Angew. Math. Mech. 92, No. 1, 72-88 (2012). MSC: 76T25 74E20 PDFBibTeX XMLCite \textit{A. Cattani} et al., ZAMM, Z. Angew. Math. Mech. 92, No. 1, 72--88 (2012; Zbl 1327.76156) Full Text: DOI