Cao, Yangyang; Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models. (English) Zbl 07568389 J. Sci. Comput. 92, No. 2, Paper No. 69, 31 p. (2022). MSC: 76M12 65M08 86-08 35L65 35L67 PDF BibTeX XML Cite \textit{Y. Cao} et al., J. Sci. Comput. 92, No. 2, Paper No. 69, 31 p. (2022; Zbl 07568389) Full Text: DOI OpenURL
Xu, Ziyao; Shu, Chi-Wang High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. (English) Zbl 07561087 J. Comput. Phys. 466, Article ID 111410, 26 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{Z. Xu} and \textit{C.-W. Shu}, J. Comput. Phys. 466, Article ID 111410, 26 p. (2022; Zbl 07561087) Full Text: DOI OpenURL
Izgin, Thomas; Kopecz, Stefan; Meister, Andreas On Lyapunov stability of positive and conservative time integrators and application to second order modified patankar-Runge-Kutta schemes. (English) Zbl 07554562 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1053-1080 (2022). MSC: 65L05 65L06 65L20 PDF BibTeX XML Cite \textit{T. Izgin} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1053--1080 (2022; Zbl 07554562) Full Text: DOI OpenURL
Sharan, Nek; Brady, Peter T.; Livescu, Daniel High-order dimensionally-split Cartesian embedded boundary method for non-dissipative schemes. (English) Zbl 07540374 J. Comput. Phys. 464, Article ID 111341, 33 p. (2022). MSC: 76Mxx 65Mxx 76Fxx PDF BibTeX XML Cite \textit{N. Sharan} et al., J. Comput. Phys. 464, Article ID 111341, 33 p. (2022; Zbl 07540374) Full Text: DOI OpenURL
Hong, Xue; Xia, Yinhua Arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for KdV type equations. (English) Zbl 07534231 Commun. Appl. Math. Comput. 4, No. 2, 530-562 (2022). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{X. Hong} and \textit{Y. Xia}, Commun. Appl. Math. Comput. 4, No. 2, 530--562 (2022; Zbl 07534231) Full Text: DOI OpenURL
Fu, Yayun; Shi, Yanhua; Zhao, Yanmin Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation. (English) Zbl 07513115 Int. J. Comput. Math. 99, No. 5, 877-894 (2022). MSC: 35R11 65M70 PDF BibTeX XML Cite \textit{Y. Fu} et al., Int. J. Comput. Math. 99, No. 5, 877--894 (2022; Zbl 07513115) Full Text: DOI OpenURL
Sun, Zhengjie A conservative scheme for two-dimensional Schrödinger equation based on multiquadric trigonometric quasi-interpolation approach. (English) Zbl 07488782 Appl. Math. Comput. 423, Article ID 126996, 12 p. (2022). MSC: 65Mxx 35Qxx 41Axx PDF BibTeX XML Cite \textit{Z. Sun}, Appl. Math. Comput. 423, Article ID 126996, 12 p. (2022; Zbl 07488782) Full Text: DOI OpenURL
Boscheri, Walter; Tavelli, Maurizio; Pareschi, Lorenzo On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs. (English) Zbl 1487.65112 J. Sci. Comput. 90, No. 3, Paper No. 97, 46 p. (2022). MSC: 65M06 65L06 65M08 65M22 65M12 76M20 PDF BibTeX XML Cite \textit{W. Boscheri} et al., J. Sci. Comput. 90, No. 3, Paper No. 97, 46 p. (2022; Zbl 1487.65112) Full Text: DOI arXiv OpenURL
Millet, Annie; Roudenko, Svetlana; Yang, Kai Behaviour of solutions to the 1D focusing stochastic \(L^2\)-critical and supercritical nonlinear Schrödinger equation with space-time white noise. (English) Zbl 07543483 IMA J. Appl. Math. 86, No. 6, 1349-1396 (2021). MSC: 35Q55 35Q41 35B44 35A01 60H40 35R60 PDF BibTeX XML Cite \textit{A. Millet} et al., IMA J. Appl. Math. 86, No. 6, 1349--1396 (2021; Zbl 07543483) Full Text: DOI OpenURL
Millet, Annie; Rodriguez, Alex D.; Roudenko, Svetlana; Yang, Kai Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise. (English) Zbl 1481.35419 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 4, 1031-1080 (2021). MSC: 35R60 35Q55 60H15 60H35 65C30 65M06 PDF BibTeX XML Cite \textit{A. Millet} et al., Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 4, 1031--1080 (2021; Zbl 1481.35419) Full Text: DOI arXiv OpenURL
Henning, Patrick; Niklasson, Anders M. N. Shadow Lagrangian dynamics for superfluidity. (English) Zbl 1476.35239 Kinet. Relat. Models 14, No. 2, 303-321 (2021). MSC: 35Q55 65N30 81Q05 65N12 65Y20 PDF BibTeX XML Cite \textit{P. Henning} and \textit{A. M. N. Niklasson}, Kinet. Relat. Models 14, No. 2, 303--321 (2021; Zbl 1476.35239) Full Text: DOI arXiv OpenURL
Escalante, C.; Castro, M. J.; Semplice, M. Very high order well-balanced schemes for non-prismatic one-dimensional channels with arbitrary shape. (English) Zbl 07422842 Appl. Math. Comput. 398, Article ID 125993, 17 p. (2021). MSC: 76Mxx 76Bxx 86Axx PDF BibTeX XML Cite \textit{C. Escalante} et al., Appl. Math. Comput. 398, Article ID 125993, 17 p. (2021; Zbl 07422842) Full Text: DOI OpenURL
Yang, Junxiang; Tan, Zhijun; Kim, Junseok High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model. (English) Zbl 07419186 Comput. Math. Appl. 102, 160-174 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{J. Yang} et al., Comput. Math. Appl. 102, 160--174 (2021; Zbl 07419186) Full Text: DOI OpenURL
Murad, Marcio A.; Correa, Maicon R.; Borges, Marcio R.; Luízar-Obregón, Jesus A.; Lopes, Tuane V. A fixed-stress split strategy for two-phase flow in heterogeneous poroelastic media overlain by viscoelastic rock salt layers. (English) Zbl 07414309 Comput. Methods Appl. Mech. Eng. 380, Article ID 113768, 32 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{M. A. Murad} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113768, 32 p. (2021; Zbl 07414309) Full Text: DOI OpenURL
Li, Jiaojiao; Li, Gang; Qian, Shouguo; Gao, Jinmei High-order well-balanced finite volume WENO schemes with conservative variables decomposition for shallow water equations. (English) Zbl 07409140 Adv. Appl. Math. Mech. 13, No. 4, 827-849 (2021). MSC: 74S05 76B10 PDF BibTeX XML Cite \textit{J. Li} et al., Adv. Appl. Math. Mech. 13, No. 4, 827--849 (2021; Zbl 07409140) Full Text: DOI OpenURL
Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. (English) Zbl 07384714 J. Sci. Comput. 88, No. 1, Paper No. 28, 45 p. (2021). MSC: 65-XX 35Lxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{S. Busto} et al., J. Sci. Comput. 88, No. 1, Paper No. 28, 45 p. (2021; Zbl 07384714) Full Text: DOI OpenURL
Akrivis, Georgios; Li, Dongfang Structure-preserving Gauss methods for the nonlinear Schrödinger equation. (English) Zbl 1486.65158 Calcolo 58, No. 2, Paper No. 17, 25 p. (2021). MSC: 65M60 65M06 65N30 65M12 35Q41 35Q55 PDF BibTeX XML Cite \textit{G. Akrivis} and \textit{D. Li}, Calcolo 58, No. 2, Paper No. 17, 25 p. (2021; Zbl 1486.65158) Full Text: DOI OpenURL
Yang, Yun-Bo; Jiang, Yao-Lin; Yu, Bo-Hao Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation. (English) Zbl 1476.65259 J. Sci. Comput. 87, No. 3, Paper No. 89, 32 p. (2021). MSC: 65M60 65M06 65N30 65M15 65N15 65N12 35Q55 35Q41 PDF BibTeX XML Cite \textit{Y.-B. Yang} et al., J. Sci. Comput. 87, No. 3, Paper No. 89, 32 p. (2021; Zbl 1476.65259) Full Text: DOI OpenURL
Abreu, E.; Matos, V.; Pérez, J.; Rodríguez-Bermúdez, P. A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms. (English) Zbl 1456.65056 J. Sci. Comput. 86, No. 1, Paper No. 14, 47 p. (2021). MSC: 65M06 65M12 35L65 35L45 76S05 76T06 76N10 76L05 76B15 PDF BibTeX XML Cite \textit{E. Abreu} et al., J. Sci. Comput. 86, No. 1, Paper No. 14, 47 p. (2021; Zbl 1456.65056) Full Text: DOI OpenURL
Li, Xiaoxi; Wen, Jinming; Li, Dongfang Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations. (English) Zbl 1450.65081 Appl. Math. Lett. 111, Article ID 106686, 7 p. (2021). MSC: 65M06 65M12 PDF BibTeX XML Cite \textit{X. Li} et al., Appl. Math. Lett. 111, Article ID 106686, 7 p. (2021; Zbl 1450.65081) Full Text: DOI OpenURL
Zhao, Jianli; Zhang, Qian; Yang, Yang; Xia, Yinhua Conservative discontinuous Galerkin methods for the nonlinear Serre equations. (English) Zbl 07508355 J. Comput. Phys. 421, Article ID 109729, 21 p. (2020). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{J. Zhao} et al., J. Comput. Phys. 421, Article ID 109729, 21 p. (2020; Zbl 07508355) Full Text: DOI OpenURL
Jain, Suhas S.; Mani, Ali; Moin, Parviz A conservative diffuse-interface method for compressible two-phase flows. (English) Zbl 07506170 J. Comput. Phys. 418, Article ID 109606, 32 p. (2020). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{S. S. Jain} et al., J. Comput. Phys. 418, Article ID 109606, 32 p. (2020; Zbl 07506170) Full Text: DOI OpenURL
Deng, Xiaogang; Zhu, Huajun; Min, Yaobing; Liu, Huayong; Mao, Meiliang; Wang, Guangxue High-order finite difference schemes based on symmetric conservative metric method: decomposition, geometric meaning and connection with finite volume schemes. (English) Zbl 07409040 Adv. Appl. Math. Mech. 12, No. 2, 436-479 (2020). MSC: 65D18 68U05 68U07 PDF BibTeX XML Cite \textit{X. Deng} et al., Adv. Appl. Math. Mech. 12, No. 2, 436--479 (2020; Zbl 07409040) Full Text: DOI OpenURL
Poveshchenko, Yury; Rahimly, Parvin; Rahimly, Orkhan; Podryga, Viktoriia; Gasilova, Irina A numerical approach to study the thermal influence on gas hydrates by physical process splitting. (English) Zbl 1471.76051 Int. J. Numer. Anal. Model. 17, No. 3, 404-433 (2020). MSC: 76M20 65N06 76S05 PDF BibTeX XML Cite \textit{Y. Poveshchenko} et al., Int. J. Numer. Anal. Model. 17, No. 3, 404--433 (2020; Zbl 1471.76051) Full Text: Link OpenURL
Hubbard, Matthew E.; Ricchiuto, Mario; Sármány, Domokos Space-time residual distribution on moving meshes. (English) Zbl 1443.65160 Comput. Math. Appl. 79, No. 5, 1561-1589 (2020). MSC: 65M08 65M50 76B15 PDF BibTeX XML Cite \textit{M. E. Hubbard} et al., Comput. Math. Appl. 79, No. 5, 1561--1589 (2020; Zbl 1443.65160) Full Text: DOI OpenURL
Kumar, Sarvesh; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo; Sandilya, Ruchi Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity. (English) Zbl 07201584 ESAIM, Math. Model. Numer. Anal. 54, No. 1, 273-299 (2020). MSC: 65N30 76S05 74F10 65N15 PDF BibTeX XML Cite \textit{S. Kumar} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 1, 273--299 (2020; Zbl 07201584) Full Text: DOI Link OpenURL
Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. (English) Zbl 07200216 Comput. Fluids 204, Article ID 104536, 15 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{F. Kemm} et al., Comput. Fluids 204, Article ID 104536, 15 p. (2020; Zbl 07200216) Full Text: DOI arXiv OpenURL
Chalons, Christophe Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems. (English) Zbl 1436.35017 Commun. Math. Sci. 18, No. 1, 1-30 (2020). MSC: 35A35 35L40 35L67 65M12 76M12 76N15 PDF BibTeX XML Cite \textit{C. Chalons}, Commun. Math. Sci. 18, No. 1, 1--30 (2020; Zbl 1436.35017) Full Text: DOI OpenURL
Piacentini, Giulia; Goatin, Paola; Ferrara, Antonella A macroscopic model for platooning in highway traffic. (English) Zbl 1439.35326 SIAM J. Appl. Math. 80, No. 1, 639-656 (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 90B20 82B21 65M08 PDF BibTeX XML Cite \textit{G. Piacentini} et al., SIAM J. Appl. Math. 80, No. 1, 639--656 (2020; Zbl 1439.35326) Full Text: DOI OpenURL
Bragin, Michael D.; Rogov, Boris V. Conservative limiting method for high-order bicompact schemes as applied to systems of hyperbolic equations. (English) Zbl 1434.65176 Appl. Numer. Math. 151, 229-245 (2020). MSC: 65M60 65M06 65M70 76N15 76L05 35L99 PDF BibTeX XML Cite \textit{M. D. Bragin} and \textit{B. V. Rogov}, Appl. Numer. Math. 151, 229--245 (2020; Zbl 1434.65176) Full Text: DOI OpenURL
Zhang, Qian; Xia, Yinhua Conservative and dissipative local discontinuous Galerkin methods for Korteweg-de Vries type equations. (English) Zbl 1473.65224 Commun. Comput. Phys. 25, No. 2, 532-563 (2019). MSC: 65M60 65M12 35Q53 PDF BibTeX XML Cite \textit{Q. Zhang} and \textit{Y. Xia}, Commun. Comput. Phys. 25, No. 2, 532--563 (2019; Zbl 1473.65224) Full Text: DOI OpenURL
Escalante, C.; Dumbser, M.; Castro, M. J. An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. (English) Zbl 1452.65188 J. Comput. Phys. 394, 385-416 (2019). MSC: 65M08 65M60 65Y05 35L40 76M12 65Z05 PDF BibTeX XML Cite \textit{C. Escalante} et al., J. Comput. Phys. 394, 385--416 (2019; Zbl 1452.65188) Full Text: DOI OpenURL
Kozlov, Roman Conservative difference schemes for one-dimensional flows of polytropic gas. (English) Zbl 1475.76069 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104864, 8 p. (2019). MSC: 76M20 PDF BibTeX XML Cite \textit{R. Kozlov}, Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104864, 8 p. (2019; Zbl 1475.76069) Full Text: DOI arXiv OpenURL
Henning, Patrick; Wärnegård, Johan Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation. (English) Zbl 1434.65183 Kinet. Relat. Models 12, No. 6, 1247-1271 (2019). MSC: 65M60 35Q55 65Y20 65P10 81Q05 35Q41 65M20 35B40 35C08 82D50 82D55 PDF BibTeX XML Cite \textit{P. Henning} and \textit{J. Wärnegård}, Kinet. Relat. Models 12, No. 6, 1247--1271 (2019; Zbl 1434.65183) Full Text: DOI arXiv OpenURL
Bhatoo, Omishwary; Peer, Arshad Ahmud Iqbal; Tadmor, Eitan; Tangman, Désiré Yannick; Saib, Aslam Aly El Faidal Conservative third-order central-upwind schemes for option pricing problems. (English) Zbl 1437.91452 Vietnam J. Math. 47, No. 4, 813-833 (2019). MSC: 91G60 65M08 91G20 35Q91 65D32 PDF BibTeX XML Cite \textit{O. Bhatoo} et al., Vietnam J. Math. 47, No. 4, 813--833 (2019; Zbl 1437.91452) Full Text: DOI OpenURL
Poveshchenko, Yu. A.; Gasilov, V. A.; Podryga, V. O.; Rehimly, O. R.; Sharova, Yu. S. Two-layer completely conservative difference schemes for the gasdynamic equations in Eulerian coordinates with adaptive solution regularization. (English. Russian original) Zbl 1442.65173 Differ. Equ. 55, No. 7, 976-989 (2019); translation from Differ. Uravn. 55, No. 7, 1009-1022 (2019). MSC: 65M06 76M20 76N15 35Q31 PDF BibTeX XML Cite \textit{Yu. A. Poveshchenko} et al., Differ. Equ. 55, No. 7, 976--989 (2019; Zbl 1442.65173); translation from Differ. Uravn. 55, No. 7, 1009--1022 (2019) Full Text: DOI OpenURL
Rahimly, Parvin; Poveshchenko, Yury; Podryga, Viktoriia; Rahimly, Orkhan Completely conservative difference schemes for simultaneous calculations of thawed hydrated zone and piezoconductive medium with gas hydrate inclusions. (English) Zbl 1434.76090 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 427-434 (2019). MSC: 76M20 76S05 PDF BibTeX XML Cite \textit{P. Rahimly} et al., Lect. Notes Comput. Sci. 11386, 427--434 (2019; Zbl 1434.76090) Full Text: DOI OpenURL
Koleva, Miglena N.; Vulkov, Lubin G. Two-grid Newton algorithms for a system of heat conducting gas equations. (English) Zbl 1434.76087 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 337-345 (2019). MSC: 76M20 76N15 80A19 65B15 65M22 PDF BibTeX XML Cite \textit{M. N. Koleva} and \textit{L. G. Vulkov}, Lect. Notes Comput. Sci. 11386, 337--345 (2019; Zbl 1434.76087) Full Text: DOI OpenURL
Delpopolo Carciopolo, Ludovica; Bonaventura, Luca; Scotti, Anna; Formaggia, Luca A conservative implicit multirate method for hyperbolic problems. (English) Zbl 1420.65092 Comput. Geosci. 23, No. 4, 647-664 (2019). MSC: 65M08 35L45 35L65 65M12 PDF BibTeX XML Cite \textit{L. Delpopolo Carciopolo} et al., Comput. Geosci. 23, No. 4, 647--664 (2019; Zbl 1420.65092) Full Text: DOI arXiv OpenURL
Matus, P. P.; Hieu, L. M.; Pylak, D. Monotone finite-difference schemes of second-order accuracy for quasilinear parabolic equations with mixed derivatives. (English. Russian original) Zbl 1422.65170 Differ. Equ. 55, No. 3, 424-436 (2019); translation from Differ. Uravn. 55, No. 3, 428-440 (2019). MSC: 65M06 35K59 65M12 65M15 PDF BibTeX XML Cite \textit{P. P. Matus} et al., Differ. Equ. 55, No. 3, 424--436 (2019; Zbl 1422.65170); translation from Differ. Uravn. 55, No. 3, 428--440 (2019) Full Text: DOI OpenURL
Cai, Wentao; He, Dongdong; Pan, Kejia A linearized energy-conservative finite element method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1432.65144 Appl. Numer. Math. 140, 183-198 (2019). MSC: 65M60 65M12 65M15 35Q55 PDF BibTeX XML Cite \textit{W. Cai} et al., Appl. Numer. Math. 140, 183--198 (2019; Zbl 1432.65144) Full Text: DOI arXiv OpenURL
Seguin, Nicolas Stability of stationary solutions of singular systems of balance laws. (English) Zbl 07469112 Confluentes Math. 10, No. 2, 93-112 (2018). MSC: 35L65 35B25 35B35 35D30 35L60 65M08 PDF BibTeX XML Cite \textit{N. Seguin}, Confluentes Math. 10, No. 2, 93--112 (2018; Zbl 07469112) Full Text: DOI arXiv OpenURL
Castro, Manuel J.; La Asunción, Marc De; Fernández Nieto, Enrique D.; Gallardo, José M.; Vida, José M. González; Macías, Jorge; Morales, Tomás; Ortega, Sergio; Parés, Carlos A review on high order well-balanced path-conservative finite volume schemes for geophysical flows. (English) Zbl 1450.65095 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3515-3539 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65Y05 65Y10 86A05 86A15 76B15 35Q86 PDF BibTeX XML Cite \textit{M. J. Castro} et al., in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3515--3539 (2018; Zbl 1450.65095) Full Text: DOI OpenURL
De Lorenzo, M.; Pelanti, M.; Lafon, Ph. HLLC-type and path-conservative schemes for a single-velocity six-equation two-phase flow model: a comparative study. (English) Zbl 1427.76159 Appl. Math. Comput. 333, 95-117 (2018). MSC: 76M12 65M08 76L05 76Txx PDF BibTeX XML Cite \textit{M. De Lorenzo} et al., Appl. Math. Comput. 333, 95--117 (2018; Zbl 1427.76159) Full Text: DOI OpenURL
Carlberg, Kevin; Choi, Youngsoo; Sargsyan, Syuzanna Conservative model reduction for finite-volume models. (English) Zbl 1415.65208 J. Comput. Phys. 371, 280-314 (2018). MSC: 65M08 35L65 65K10 PDF BibTeX XML Cite \textit{K. Carlberg} et al., J. Comput. Phys. 371, 280--314 (2018; Zbl 1415.65208) Full Text: DOI arXiv OpenURL
Anderson, Jacqueline; Bouw, Irene I.; Ejder, Ozlem; Girgin, Neslihan; Karemaker, Valentijn; Manes, Michelle Dynamical Belyi maps. (English) Zbl 1405.37093 Bouw, Irene I. (ed.) et al., Women in numbers Europe II. Contributions to number theory and arithmetic geometry. Proceedings of the 2nd conference, Leiden, The Netherlands, September 26–30, 2016. Cham: Springer (ISBN 978-3-319-74997-6/hbk; 978-3-319-74998-3/ebook). Association for Women in Mathematics Series 11, 57-82 (2018). MSC: 37P05 11G32 14G40 PDF BibTeX XML Cite \textit{J. Anderson} et al., Assoc. Women Math. Ser. 11, 57--82 (2018; Zbl 1405.37093) Full Text: DOI arXiv OpenURL
Aksenov, A. G.; Babakov, A. V.; Chechetkin, V. M. Mathematical simulation of vortex structures in rapidly rotating astrophysical objects. (English. Russian original) Zbl 1412.85001 Comput. Math. Math. Phys. 58, No. 8, 1287-1293 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 8 (2018). MSC: 85A05 76Y05 85A30 76U05 76W05 76X05 85-08 PDF BibTeX XML Cite \textit{A. G. Aksenov} et al., Comput. Math. Math. Phys. 58, No. 8, 1287--1293 (2018; Zbl 1412.85001); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 8 (2018) Full Text: DOI OpenURL
Ling, Dan; Cheng, Juan; Shu, Chi-Wang Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations. (English) Zbl 1407.65196 J. Sci. Comput. 77, No. 3, 1801-1831 (2018). MSC: 65M60 65M06 65N30 65M12 35B09 35R09 80A20 35Q79 85A25 PDF BibTeX XML Cite \textit{D. Ling} et al., J. Sci. Comput. 77, No. 3, 1801--1831 (2018; Zbl 1407.65196) Full Text: DOI OpenURL
Gao, Huadong; Sun, Pengtao A linearized local conservative mixed finite element method for Poisson-Nernst-Planck equations. (English) Zbl 1407.65259 J. Sci. Comput. 77, No. 2, 793-817 (2018); correction ibid. 77, No. 2, 818 (2018). MSC: 65N30 65N12 35K61 65M06 65M15 PDF BibTeX XML Cite \textit{H. Gao} and \textit{P. Sun}, J. Sci. Comput. 77, No. 2, 793--817 (2018; Zbl 1407.65259) Full Text: DOI OpenURL
Sjögreen, Björn; Yee, H. C. High order entropy conservative central schemes for wide ranges of compressible gas dynamics and MHD flows. (English) Zbl 1392.76045 J. Comput. Phys. 364, 153-185 (2018). MSC: 76M20 76N15 76W05 PDF BibTeX XML Cite \textit{B. Sjögreen} and \textit{H. C. Yee}, J. Comput. Phys. 364, 153--185 (2018; Zbl 1392.76045) Full Text: DOI OpenURL
Voronin, F. N.; Inozemtseva, K. K.; Markov, M. B. The electromagnetic and thermo-mechanical effect of electron beam on the solid barrier. (Russian. English summary) Zbl 1413.78003 Mat. Model. 29, No. 12, 29-45 (2017). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 78A30 76X05 78A45 80A17 PDF BibTeX XML Cite \textit{F. N. Voronin} et al., Mat. Model. 29, No. 12, 29--45 (2017; Zbl 1413.78003) Full Text: MNR OpenURL
Rossi, Giulia; Dumbser, Michael; Armanini, Aronne A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows. (English) Zbl 1390.76760 Comput. Fluids 154, 102-122 (2017). MSC: 76M28 65M75 76B15 PDF BibTeX XML Cite \textit{G. Rossi} et al., Comput. Fluids 154, 102--122 (2017; Zbl 1390.76760) Full Text: DOI OpenURL
Chalons, C.; Monache, M. L. Delle; Goatin, P. A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem. (English) Zbl 1404.65110 Interfaces Free Bound. 19, No. 4, 553-570 (2017). MSC: 65M08 35L65 90B20 65M06 65L05 PDF BibTeX XML Cite \textit{C. Chalons} et al., Interfaces Free Bound. 19, No. 4, 553--570 (2017; Zbl 1404.65110) Full Text: DOI OpenURL
Liu, Yuan; Cheng, Yingda; Shu, Chi-Wang A simple bound-preserving sweeping technique for conservative numerical approximations. (English) Zbl 1381.65087 J. Sci. Comput. 73, No. 2-3, 1028-1071 (2017). MSC: 65M70 35L65 65M06 65M08 35Q35 PDF BibTeX XML Cite \textit{Y. Liu} et al., J. Sci. Comput. 73, No. 2--3, 1028--1071 (2017; Zbl 1381.65087) Full Text: DOI OpenURL
Caleffi, Valerio; Valiani, Alessandro Well balancing of the SWE schemes for moving-water steady flows. (English) Zbl 1376.76031 J. Comput. Phys. 342, 85-116 (2017). MSC: 76M12 35Q35 PDF BibTeX XML Cite \textit{V. Caleffi} and \textit{A. Valiani}, J. Comput. Phys. 342, 85--116 (2017; Zbl 1376.76031) Full Text: DOI arXiv OpenURL
Chalons, Christophe; Coquel, Frédéric A new comment on the computation of non-conservative products using Roe-type path conservative schemes. (English) Zbl 1375.76161 J. Comput. Phys. 335, 592-604 (2017). MSC: 76N15 76L05 35L40 PDF BibTeX XML Cite \textit{C. Chalons} and \textit{F. Coquel}, J. Comput. Phys. 335, 592--604 (2017; Zbl 1375.76161) Full Text: DOI HAL OpenURL
Gao, Huadong; He, Dongdong Linearized conservative finite element methods for the Nernst-Planck-Poisson equations. (English) Zbl 1378.65168 J. Sci. Comput. 72, No. 3, 1269-1289 (2017). Reviewer: Pavel Burda (Praha) MSC: 65M60 35K61 65M12 35Q84 65M15 PDF BibTeX XML Cite \textit{H. Gao} and \textit{D. He}, J. Sci. Comput. 72, No. 3, 1269--1289 (2017; Zbl 1378.65168) Full Text: DOI OpenURL
Martinusi, Vladimir; Dell’Elce, Lamberto; Kerschen, Gaëtan First-order analytic propagation of satellites in the exponential atmosphere of an oblate planet. (English) Zbl 1365.70026 Celest. Mech. Dyn. Astron. 127, No. 4, 451-476 (2017). MSC: 70M20 70K65 70K60 PDF BibTeX XML Cite \textit{V. Martinusi} et al., Celest. Mech. Dyn. Astron. 127, No. 4, 451--476 (2017; Zbl 1365.70026) Full Text: DOI OpenURL
Castro, M. J.; Morales de Luna, T.; Parés, C. Well-balanced schemes and path-conservative numerical methods. (English) Zbl 1368.65131 Abgrall, Rémi (ed.) et al., Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63910-3/hbk; 978-0-444-63911-0/ebook). Handbook of Numerical Analysis 18, 131-175 (2017). MSC: 65M06 35L60 65M08 65M20 PDF BibTeX XML Cite \textit{M. J. Castro} et al., Handb. Numer. Anal. 18, 131--175 (2017; Zbl 1368.65131) Full Text: DOI OpenURL
Aguillon, Nina; Lagoutière, Frédéric; Seguin, Nicolas Convergence of finite volume schemes for the coupling between the inviscid Burgers equation and a particle. (English) Zbl 1380.65192 Math. Comput. 86, No. 303, 157-196 (2017). Reviewer: Song Jiang (Beijing) MSC: 65M08 35L65 35Q53 35R37 65M12 35L72 PDF BibTeX XML Cite \textit{N. Aguillon} et al., Math. Comput. 86, No. 303, 157--196 (2017; Zbl 1380.65192) Full Text: DOI arXiv OpenURL
Caleffi, Valerio; Valiani, Alessandro; Li, Gang A comparison between bottom-discontinuity numerical treatments in the DG framework. (English) Zbl 1471.65135 Appl. Math. Modelling 40, No. 17-18, 7516-7531 (2016). MSC: 65M60 76M10 86A05 PDF BibTeX XML Cite \textit{V. Caleffi} et al., Appl. Math. Modelling 40, No. 17--18, 7516--7531 (2016; Zbl 1471.65135) Full Text: DOI arXiv OpenURL
Després, Bruno; Buet, Christophe The structure of well-balanced schemes for Friedrichs systems with linear relaxation. (English) Zbl 1410.78030 Appl. Math. Comput. 272, Part 2, 440-459 (2016). MSC: 78M12 65M08 PDF BibTeX XML Cite \textit{B. Després} and \textit{C. Buet}, Appl. Math. Comput. 272, Part 2, 440--459 (2016; Zbl 1410.78030) Full Text: DOI Link OpenURL
Sánchez-Linares, C.; Morales de Luna, T.; Castro Díaz, M. J. A HLLC scheme for Ripa model. (English) Zbl 1410.76261 Appl. Math. Comput. 272, Part 2, 369-384 (2016). MSC: 76M12 65M25 76B15 PDF BibTeX XML Cite \textit{C. Sánchez-Linares} et al., Appl. Math. Comput. 272, Part 2, 369--384 (2016; Zbl 1410.76261) Full Text: DOI OpenURL
Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. (English) Zbl 1390.76399 Comput. Fluids 134-135, 111-129 (2016). MSC: 76M12 65M08 74B20 PDF BibTeX XML Cite \textit{W. Boscheri} et al., Comput. Fluids 134--135, 111--129 (2016; Zbl 1390.76399) Full Text: DOI arXiv OpenURL
Delle Monache, Maria Laura; Goatin, Paola A numerical scheme for moving bottlenecks in traffic flow. (English) Zbl 1358.90025 Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 605-617 (2016). MSC: 90B20 35L65 PDF BibTeX XML Cite \textit{M. L. Delle Monache} and \textit{P. Goatin}, Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 605--617 (2016; Zbl 1358.90025) Full Text: DOI Link OpenURL
Dumbser, Michael; Loubère, Raphaël A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. (English) Zbl 1349.65447 J. Comput. Phys. 319, 163-199 (2016). MSC: 65M60 65M08 65M12 PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{R. Loubère}, J. Comput. Phys. 319, 163--199 (2016; Zbl 1349.65447) Full Text: DOI OpenURL
Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. (English) Zbl 1349.76324 J. Comput. Phys. 314, 824-862 (2016). MSC: 76M12 74S10 76M10 74S05 65M08 65M60 PDF BibTeX XML Cite \textit{M. Dumbser} et al., J. Comput. Phys. 314, 824--862 (2016; Zbl 1349.76324) Full Text: DOI arXiv OpenURL
Babakov, A. V. Program package FLUX for the simulation of fundamental and applied problems of fluid dynamics. (English. Russian original) Zbl 1381.76010 Comput. Math. Math. Phys. 56, No. 6, 1151-1161 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 1174-1184 (2016). MSC: 76-04 76A20 PDF BibTeX XML Cite \textit{A. V. Babakov}, Comput. Math. Math. Phys. 56, No. 6, 1151--1161 (2016; Zbl 1381.76010); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 1174--1184 (2016) Full Text: DOI OpenURL
Alekseenko, A. E.; Kholodov, A. S.; Kholodov, Ya. A. Boundary control problems for quasilinear systems of hyperbolic equations. (English. Russian original) Zbl 1350.65084 Comput. Math. Math. Phys. 56, No. 6, 916-931 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 927-942 (2016). MSC: 65M06 35L72 PDF BibTeX XML Cite \textit{A. E. Alekseenko} et al., Comput. Math. Math. Phys. 56, No. 6, 916--931 (2016; Zbl 1350.65084); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 927--942 (2016) Full Text: DOI OpenURL
Nishiyama, Hirota; Noi, Takahiro Conservative difference schemes for the numerical solution of the Gardner equation. (English) Zbl 1339.65134 Comput. Appl. Math. 35, No. 1, 75-95 (2016). MSC: 65M06 35Q53 PDF BibTeX XML Cite \textit{H. Nishiyama} and \textit{T. Noi}, Comput. Appl. Math. 35, No. 1, 75--95 (2016; Zbl 1339.65134) Full Text: DOI OpenURL
Leibinger, Julia; Dumbser, Michael; Iben, Uwe; Wayand, Isabell A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes. (English) Zbl 1381.76219 Appl. Numer. Math. 105, 47-63 (2016). MSC: 76M12 65M08 74F10 76Nxx PDF BibTeX XML Cite \textit{J. Leibinger} et al., Appl. Numer. Math. 105, 47--63 (2016; Zbl 1381.76219) Full Text: DOI OpenURL
Tadmor, Eitan Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws. (English) Zbl 1332.65129 Discrete Contin. Dyn. Syst. 36, No. 8, 4579-4598 (2016). MSC: 65M12 35L65 65M06 35R06 35Q30 35Q31 PDF BibTeX XML Cite \textit{E. Tadmor}, Discrete Contin. Dyn. Syst. 36, No. 8, 4579--4598 (2016; Zbl 1332.65129) Full Text: DOI OpenURL
Nguyen, Nguyen T.; Dumbser, Michael A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. (English) Zbl 1410.76463 Appl. Math. Comput. 271, 959-978 (2015). MSC: 76T99 65M08 76M12 76N15 PDF BibTeX XML Cite \textit{N. T. Nguyen} and \textit{M. Dumbser}, Appl. Math. Comput. 271, 959--978 (2015; Zbl 1410.76463) Full Text: DOI OpenURL
Popov, Mikhail V.; Elizarova, Tatiana G. Smoothed MHD equations for numerical simulations of ideal quasi-neutral gas dynamic flows. (English) Zbl 1360.76358 Comput. Phys. Commun. 196, 348-361 (2015). MSC: 76W05 76M20 76N15 PDF BibTeX XML Cite \textit{M. V. Popov} and \textit{T. G. Elizarova}, Comput. Phys. Commun. 196, 348--361 (2015; Zbl 1360.76358) Full Text: DOI OpenURL
Azarova, O. A. Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms. (English. Russian original) Zbl 1381.76232 Comput. Math. Math. Phys. 55, No. 12, 2025-2049 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 12, 2067-2092 (2015). MSC: 76M20 65M06 76J20 PDF BibTeX XML Cite \textit{O. A. Azarova}, Comput. Math. Math. Phys. 55, No. 12, 2025--2049 (2015; Zbl 1381.76232); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 12, 2067--2092 (2015) Full Text: DOI OpenURL
Kong, Linghua; Hong, Jialin; Ji, Lihai; Zhu, Pengfei Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations. (English) Zbl 1339.65125 Numer. Methods Partial Differ. Equations 31, No. 6, 1814-1843 (2015). Reviewer: Jiguang Sun (Dover) MSC: 65M06 35Q55 65M12 PDF BibTeX XML Cite \textit{L. Kong} et al., Numer. Methods Partial Differ. Equations 31, No. 6, 1814--1843 (2015; Zbl 1339.65125) Full Text: DOI OpenURL
Sukhinov, A. I.; Khachunts, D. S.; Chistyakov, A. E. A mathematical model of pollutant propagation in near-ground atmospheric layer of a coastal region and its software implementation. (English. Russian original) Zbl 1325.86010 Comput. Math. Math. Phys. 55, No. 7, 1216-1231 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 7, 1238-1254 (2015). MSC: 86A10 91B76 PDF BibTeX XML Cite \textit{A. I. Sukhinov} et al., Comput. Math. Math. Phys. 55, No. 7, 1216--1231 (2015; Zbl 1325.86010); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 7, 1238--1254 (2015) Full Text: DOI OpenURL
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G. A two-phase shallow debris flow model with energy balance. (English) Zbl 1310.76172 ESAIM, Math. Model. Numer. Anal. 49, No. 1, 101-140 (2015). MSC: 76T25 74F10 76M12 PDF BibTeX XML Cite \textit{F. Bouchut} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 1, 101--140 (2015; Zbl 1310.76172) Full Text: DOI Link OpenURL
Hutchinson, Ian H. A student’s guide to numerical methods. (English) Zbl 1322.65001 Cambridge: Cambridge University Press (ISBN 978-1-107-09567-0/hbk; 978-1-107-47950-0/pbk; 978-1-316-15551-6/ebook). xiv, 207 p. (2015). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-01 34-01 35-01 00A06 00A79 35Qxx 65Z05 65Lxx 65Mxx 65Nxx 65C05 82-01 76-01 PDF BibTeX XML Cite \textit{I. H. Hutchinson}, A student's guide to numerical methods. Cambridge: Cambridge University Press (2015; Zbl 1322.65001) Full Text: DOI OpenURL
Boscheri, Walter; Dumbser, Michael A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D. (English) Zbl 1349.76310 J. Comput. Phys. 275, 484-523 (2014). MSC: 76M12 65M08 76N15 PDF BibTeX XML Cite \textit{W. Boscheri} and \textit{M. Dumbser}, J. Comput. Phys. 275, 484--523 (2014; Zbl 1349.76310) Full Text: DOI arXiv OpenURL
Zia, Saqib; Qamar, Shamsul A kinetic flux-vector splitting method for single-phase and two-phase shallow flows. (English) Zbl 1381.76309 Comput. Math. Appl. 67, No. 6, 1271-1288 (2014). MSC: 76M28 65M75 76B15 76T20 PDF BibTeX XML Cite \textit{S. Zia} and \textit{S. Qamar}, Comput. Math. Appl. 67, No. 6, 1271--1288 (2014; Zbl 1381.76309) Full Text: DOI OpenURL
Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. (English) Zbl 1295.65088 Comput. Methods Appl. Mech. Eng. 268, 359-387 (2014). MSC: 65M08 PDF BibTeX XML Cite \textit{M. Dumbser} et al., Comput. Methods Appl. Mech. Eng. 268, 359--387 (2014; Zbl 1295.65088) Full Text: DOI arXiv OpenURL
Montecinos, Gino I.; Müller, Lucas O.; Toro, Eleuterio F. Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. (English) Zbl 1323.92065 J. Comput. Phys. 266, 101-123 (2014). MSC: 92C35 76M12 PDF BibTeX XML Cite \textit{G. I. Montecinos} et al., J. Comput. Phys. 266, 101--123 (2014; Zbl 1323.92065) Full Text: DOI OpenURL
Goloviznin, V. M.; Karabasov, S. A.; Kondakov, V. G. Generalization of CABARET scheme for two-dimensional orthogonal computational grid. (Russian. English summary) Zbl 1357.65142 Mat. Model. 25, No. 7, 103-136 (2013). MSC: 65M08 76Bxx PDF BibTeX XML Cite \textit{V. M. Goloviznin} et al., Mat. Model. 25, No. 7, 103--136 (2013; Zbl 1357.65142) Full Text: DOI MNR OpenURL
Aristova, E. N.; Baydin, D. F.; Rogov, B. V. Bicompact scheme for linear inhomogeneous transport equation. (Russian. English summary) Zbl 1357.65231 Mat. Model. 25, No. 5, 55-66 (2013). MSC: 65N06 65N40 PDF BibTeX XML Cite \textit{E. N. Aristova} et al., Mat. Model. 25, No. 5, 55--66 (2013; Zbl 1357.65231) Full Text: DOI MNR OpenURL
Washington, Talitha M. NSFD representations for polynomial terms appearing in the potential functions of 1-dimensional conservative systems. (English) Zbl 1350.65137 Comput. Math. Appl. 66, No. 11, 2251-2258 (2013). MSC: 65P10 37M15 PDF BibTeX XML Cite \textit{T. M. Washington}, Comput. Math. Appl. 66, No. 11, 2251--2258 (2013; Zbl 1350.65137) Full Text: DOI OpenURL
Degond, P. Asymptotic-preserving schemes for fluid models of plasmas. (English. French summary) Zbl 1308.76182 Crouseilles, Nicolas (ed.) et al., Numerical models for fusion. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-776-6/pbk). Panoramas et Synthèses 39-40, 1-90 (2013). MSC: 76M12 76M20 76X05 PDF BibTeX XML Cite \textit{P. Degond}, Panor. Synth. 39--40, 1--90 (2013; Zbl 1308.76182) Full Text: arXiv OpenURL
Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F. Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. (English) Zbl 1323.92066 J. Comput. Phys. 242, 53-85 (2013). MSC: 92C35 76Z05 65M08 PDF BibTeX XML Cite \textit{L. O. Müller} et al., J. Comput. Phys. 242, 53--85 (2013; Zbl 1323.92066) Full Text: DOI OpenURL
Dumbser, Michael; Boscheri, Walter High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows. (English) Zbl 1290.76081 Comput. Fluids 86, 405-432 (2013). MSC: 76M12 65M08 76N15 76T99 PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{W. Boscheri}, Comput. Fluids 86, 405--432 (2013; Zbl 1290.76081) Full Text: DOI arXiv OpenURL
Dumbser, Michael A diffuse interface method for complex three-dimensional free surface flows. (English) Zbl 1286.76099 Comput. Methods Appl. Mech. Eng. 257, 47-64 (2013). MSC: 76M12 76B10 76T99 PDF BibTeX XML Cite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 257, 47--64 (2013; Zbl 1286.76099) Full Text: DOI OpenURL
Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. (English) Zbl 1317.65167 SIAM J. Numer. Anal. 51, No. 3, 1371-1391 (2013). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65M06 65M12 35L72 35Q53 76M20 76B15 PDF BibTeX XML Cite \textit{M. J. Castro} et al., SIAM J. Numer. Anal. 51, No. 3, 1371--1391 (2013; Zbl 1317.65167) Full Text: DOI Link OpenURL
Kukudzhanov, Vladimir N. Numerical continuum mechanics. (English) Zbl 1318.76001 de Gruyter Studies in Mathematical Physics 15. Berlin: de Gruyter (ISBN 978-3-11-027322-9/hbk; 978-3-11-027338-0/ebook). xviii, 429 p. (2013). Reviewer: Georg Hebermehl (Berlin) MSC: 76-01 74-01 76M20 74S20 80A20 80M20 PDF BibTeX XML Cite \textit{V. N. Kukudzhanov}, Numerical continuum mechanics. Berlin: de Gruyter (2013; Zbl 1318.76001) Full Text: DOI OpenURL
Muñoz-Ruiz, María Luz; Madroñal, Carlos Parés Properties of path-conservative schemes for hyperbolic systems of balance laws. (English) Zbl 1306.65245 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, 593-600 (2012). MSC: 65M06 35L65 65M12 PDF BibTeX XML Cite \textit{M. L. Muñoz-Ruiz} and \textit{C. P. Madroñal}, Ser. Contemp. Appl. Math. CAM 18, 593--600 (2012; Zbl 1306.65245) OpenURL
Xiong, Tao; Shu, Chi-Wang; Zhang, Mengping WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows. (English) Zbl 1383.76359 J. Sci. Comput. 53, No. 1, 222-247 (2012). MSC: 76M12 76M28 65M70 PDF BibTeX XML Cite \textit{T. Xiong} et al., J. Sci. Comput. 53, No. 1, 222--247 (2012; Zbl 1383.76359) Full Text: DOI OpenURL
Kolkovska, Natalia; Dimova, Milena A new conservative finite difference scheme for Boussinesq paradigm equation. (English) Zbl 1262.65103 Cent. Eur. J. Math. 10, No. 3, 1159-1171 (2012). Reviewer: Muhammad Akram (Lahore) MSC: 65M06 65M15 76B25 35Q51 65M12 PDF BibTeX XML Cite \textit{N. Kolkovska} and \textit{M. Dimova}, Cent. Eur. J. Math. 10, No. 3, 1159--1171 (2012; Zbl 1262.65103) Full Text: DOI OpenURL
Sorek, Shaul; Borisov, Vyacheslav Modified Eulerian-Lagrangian formulation for hydrodynamic modeling. (English) Zbl 1402.76134 J. Comput. Phys. 231, No. 8, 3083-3100 (2012). MSC: 76S05 65M75 PDF BibTeX XML Cite \textit{S. Sorek} and \textit{V. Borisov}, J. Comput. Phys. 231, No. 8, 3083--3100 (2012; Zbl 1402.76134) Full Text: DOI OpenURL
Danaee Barforoushi, Saeed; Rahimi, Mostafa; Danaee, Siavash Homotopy perturbation method for solving governing equation of nonlinear free vibration of systems with serial linear and nonlinear stiffness on a frictionless contact surface. (English) Zbl 1289.70033 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 4, 107-118 (2011). MSC: 70K60 70-08 34C15 65L99 70E18 70E20 PDF BibTeX XML Cite \textit{S. Danaee Barforoushi} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 4, 107--118 (2011; Zbl 1289.70033) OpenURL
Korobitsyn, V. A. Basis difference method for orthogonal systems on a surface. (Russian, English) Zbl 1249.65217 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 7, 1308-1316 (2011); translation in Comput. Math. Math. Phys. 51, No. 7, 1222-1230 (2011). MSC: 65N06 65F25 PDF BibTeX XML Cite \textit{V. A. Korobitsyn}, Zh. Vychisl. Mat. Mat. Fiz. 51, No. 7, 1308--1316 (2011; Zbl 1249.65217); translation in Comput. Math. Math. Phys. 51, No. 7, 1222--1230 (2011) Full Text: DOI OpenURL
Arbogast, Todd; Wang, Wen-Hao Stability, monotonicity, maximum and minimum principles, and implementation of the volume corrected characteristic method. (English) Zbl 1236.65119 SIAM J. Sci. Comput. 33, No. 4, 1549-1573 (2011). Reviewer: Petr Sváček (Praha) MSC: 65M12 35L65 65M25 76S05 35B50 PDF BibTeX XML Cite \textit{T. Arbogast} and \textit{W.-H. Wang}, SIAM J. Sci. Comput. 33, No. 4, 1549--1573 (2011; Zbl 1236.65119) Full Text: DOI Link OpenURL
Berikelashvili, G.; Mirianashvili, M. Finite difference schemes for Benjamin-Bona-Mahony equation. (English) Zbl 1230.65094 Proc. A. Razmadze Math. Inst. 155, 93-95 (2011). MSC: 65M06 35L75 65M12 PDF BibTeX XML Cite \textit{G. Berikelashvili} and \textit{M. Mirianashvili}, Proc. A. Razmadze Math. Inst. 155, 93--95 (2011; Zbl 1230.65094) OpenURL