Chu, Shaoshuai; Kurganov, Alexander Local characteristic decomposition based central-upwind scheme for compressible multifluids. (English) Zbl 07803007 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 73-81 (2023). MSC: 65M06 65N06 65L06 65L04 76T30 76N30 35Q31 PDFBibTeX XMLCite \textit{S. Chu} and \textit{A. Kurganov}, Springer Proc. Math. Stat. 433, 73--81 (2023; Zbl 07803007) Full Text: DOI
Li, Shuguang; Kravchenko, Oleg V.; Qu, Kai On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation. (English) Zbl 1523.65072 Numer. Algorithms 94, No. 2, 789-816 (2023). MSC: 65M06 35Q53 65M12 PDFBibTeX XMLCite \textit{S. Li} et al., Numer. Algorithms 94, No. 2, 789--816 (2023; Zbl 1523.65072) Full Text: DOI
Goloviznin, V. M.; Maĭorov, Petr A.; Maĭorov, Pavel A.; Solov’ev, A. V.; Afanas’ev, N. A. Explicit numerical algorithm for non-hydrostatic fluid dynamics equations based on the CABARET scheme. (Russian. English summary) Zbl 07720833 Mat. Model. 35, No. 5, 62-86 (2023). MSC: 76M20 76N30 PDFBibTeX XMLCite \textit{V. M. Goloviznin} et al., Mat. Model. 35, No. 5, 62--86 (2023; Zbl 07720833) Full Text: DOI MNR
Abakumov, M. V. Numerical study of the effect of artificial obstacles on the occurrence of hurricane-force wind gusts during bora. (Russian. English summary) Zbl 07720829 Mat. Model. 35, No. 5, 3-14 (2023). MSC: 76U60 76M20 76F10 86A10 PDFBibTeX XMLCite \textit{M. V. Abakumov}, Mat. Model. 35, No. 5, 3--14 (2023; Zbl 07720829) Full Text: DOI MNR
Cohen, Igal; Kligerman, Yuri; Goltsberg, Roman CFD analysis of a ringless piston’s secondary motion and the validity of Reynolds equation. (English) Zbl 1521.76100 Meccanica 58, No. 7, 1347-1364 (2023). MSC: 76D08 76D05 76M20 PDFBibTeX XMLCite \textit{I. Cohen} et al., Meccanica 58, No. 7, 1347--1364 (2023; Zbl 1521.76100) Full Text: DOI
Almushaira, Mustafa An efficient fourth-order accurate conservative scheme for Riesz space fractional Schrödinger equation with wave operator. (English) Zbl 07703871 Math. Comput. Simul. 210, 424-447 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Almushaira}, Math. Comput. Simul. 210, 424--447 (2023; Zbl 07703871) Full Text: DOI
Su, Hongmin; Cai, Jinsheng; Qu, Kun; Pan, Shucheng A sufficient condition for free-stream preserving WENO schemes on curvilinear grids of complex geometries. (English) Zbl 1521.76590 Comput. Fluids 254, Article ID 105812, 14 p. (2023). MSC: 76M20 76M12 PDFBibTeX XMLCite \textit{H. Su} et al., Comput. Fluids 254, Article ID 105812, 14 p. (2023; Zbl 1521.76590) Full Text: DOI
Pan, Xintian; Zhang, Luming A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation. (English) Zbl 1515.65269 Demonstr. Math. 56, Article ID 20220204, 13 p. (2023). MSC: 65N06 65M06 65N12 35C08 47H10 35Q51 35Q53 PDFBibTeX XMLCite \textit{X. Pan} and \textit{L. Zhang}, Demonstr. Math. 56, Article ID 20220204, 13 p. (2023; Zbl 1515.65269) Full Text: DOI
Zmushko, V. V.; Razin, A. N.; Sinel’nikova, A. A.; Shcherbakov, A. N. Influence of the shock wave intensity on instability development at rough interfaces of a three-layer gas system. (English. Russian original) Zbl 1514.76033 Comput. Math. Math. Phys. 63, No. 3, 413-424 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 3, 436-448 (2023). MSC: 76E17 76L05 76F25 76F65 76M20 PDFBibTeX XMLCite \textit{V. V. Zmushko} et al., Comput. Math. Math. Phys. 63, No. 3, 413--424 (2023; Zbl 1514.76033); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 3, 436--448 (2023) Full Text: DOI
Du, Jie; Yang, Yang High-order bound-preserving finite difference methods for multispecies and multireaction detonations. (English) Zbl 1524.65335 Commun. Appl. Math. Comput. 5, No. 1, 31-63 (2023). MSC: 65M06 65M12 80A25 80A32 35Q79 35L67 65L05 65N06 PDFBibTeX XMLCite \textit{J. Du} and \textit{Y. Yang}, Commun. Appl. Math. Comput. 5, No. 1, 31--63 (2023; Zbl 1524.65335) Full Text: DOI
Krukovskiĭ, A. Yu.; Poveshchenko, Yu. A.; Podryga, V. O. Convergence of some iterative algorithms for numerical solution of two-dimensional non-stationary problems of magnetic hydrodynamics. (Russian. English summary) Zbl 1510.76111 Mat. Model. 35, No. 2, 57-74 (2023). MSC: 76M20 76W05 65M12 PDFBibTeX XMLCite \textit{A. Yu. Krukovskiĭ} et al., Mat. Model. 35, No. 2, 57--74 (2023; Zbl 1510.76111) Full Text: DOI MNR
Dorodnitsyn, V. A.; Kaptsov, E. I.; Meleshko, S. V. Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates. (English) Zbl 1510.76132 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107119, 18 p. (2023). Reviewer: Jean-Claude Ndogmo (Thohoyandou) MSC: 76M60 76M20 76B10 PDFBibTeX XMLCite \textit{V. A. Dorodnitsyn} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107119, 18 p. (2023; Zbl 1510.76132) Full Text: DOI arXiv
Yang, Huaijun; Wang, Lele; Liao, Xin Superconvergence analysis of a linearized energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 07654111 Comput. Math. Appl. 133, 142-154 (2023). MSC: 35Q55 65M60 65M12 65M06 65M15 PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Math. Appl. 133, 142--154 (2023; Zbl 07654111) Full Text: DOI
Chen, Xiaowei; Qian, Xu; Song, Songhe Fourth-order structure-preserving method for the conservative Allen-Cahn equation. (English) Zbl 1513.65435 Adv. Appl. Math. Mech. 15, No. 1, 159-181 (2023). MSC: 65N06 65N12 65L06 35B50 35Q35 PDFBibTeX XMLCite \textit{X. Chen} et al., Adv. Appl. Math. Mech. 15, No. 1, 159--181 (2023; Zbl 1513.65435) Full Text: DOI
Hu, Hongling; Jin, Xianlin; He, Dongdong; Pan, Kejia; Zhang, Qifeng A conservative difference scheme with optimal pointwise error estimates for two-dimensional space fractional nonlinear Schrödinger equations. (English) Zbl 07775892 Numer. Methods Partial Differ. Equations 38, No. 1, 4-32 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Hu} et al., Numer. Methods Partial Differ. Equations 38, No. 1, 4--32 (2022; Zbl 07775892) Full Text: DOI arXiv
Ladonkina, Marina Evgen’evna; Poveshchenko, Yuriĭ Andreevich; Ragimli, Orkhan Ragimovich; Zhang, Haochen Theoretical study of stability of nodal completely conservative difference schemes with viscous filling for gas dynamics equations in Euler variables. (Russian. English summary) Zbl 1524.65361 Zh. Sredn. Mat. Obshch. 24, No. 3, 317-330 (2022). MSC: 65M06 65M22 76N30 35Q35 65N06 PDFBibTeX XMLCite \textit{M. E. Ladonkina} et al., Zh. Sredn. Mat. Obshch. 24, No. 3, 317--330 (2022; Zbl 1524.65361) Full Text: DOI MNR
Zhang, Fayong; An, Xiaoli A conservative finite difference scheme for nonlinear Schrödinger equation involving quintic terms. (Chinese. English summary) Zbl 1513.65321 Math. Numer. Sin. 44, No. 1, 63-70 (2022). MSC: 65M06 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. An}, Math. Numer. Sin. 44, No. 1, 63--70 (2022; Zbl 1513.65321) Full Text: DOI
Solntsev, I. A.; Karabasov, S. A. Development of unstructed code for rotating zones based on the CABARET method with improved spectral properties. (Russian. English summary) Zbl 1506.76121 Mat. Model. 34, No. 7, 73-92 (2022). MSC: 76M20 76U05 76Q05 PDFBibTeX XMLCite \textit{I. A. Solntsev} and \textit{S. A. Karabasov}, Mat. Model. 34, No. 7, 73--92 (2022; Zbl 1506.76121) Full Text: DOI MNR
Dem’yanov, A. Yu.; Dinariev, O. Yu. Calculation of transport properties of an aqueous solution at the pore level. (Russian. English summary) Zbl 1506.76165 Mat. Model. 34, No. 4, 70-82 (2022). MSC: 76S05 76W05 76T30 76M20 76-10 PDFBibTeX XMLCite \textit{A. Yu. Dem'yanov} and \textit{O. Yu. Dinariev}, Mat. Model. 34, No. 4, 70--82 (2022; Zbl 1506.76165) Full Text: DOI MNR
Ragimli, O. R.; Poveshchenko, Yu. A.; Popov, S. B. Two-layer 1D completely conservative difference schemes of gas dynamics with adaptive regularization. (Russian. English summary) Zbl 1485.76062 Mat. Model. 34, No. 3, 26-42 (2022). MSC: 76M20 76N15 76L05 PDFBibTeX XMLCite \textit{O. R. Ragimli} et al., Mat. Model. 34, No. 3, 26--42 (2022; Zbl 1485.76062) Full Text: DOI MNR
Trofimov, V. A.; Loginova, M. M.; Egorenkov, V. A. Multi-stages iterative process for conservative economic finite-difference schemes realization for the problem of nonlinear laser pulse interaction with a medium. (English) Zbl 1520.78056 Nonlinear Phenom. Complex Syst., Minsk 24, No. 3, 242-259 (2021). MSC: 78M20 78A60 65M06 65N06 PDFBibTeX XMLCite \textit{V. A. Trofimov} et al., Nonlinear Phenom. Complex Syst., Minsk 24, No. 3, 242--259 (2021; Zbl 1520.78056) Full Text: DOI
Tang, Huazhong Some discussions on entropy stable schemes for scalar hyperbolic conservation laws. (Chinese. English summary) Zbl 1513.65308 Math. Numer. Sin. 43, No. 4, 413-425 (2021). MSC: 65M06 65N06 65M12 76M20 35L65 PDFBibTeX XMLCite \textit{H. Tang}, Math. Numer. Sin. 43, No. 4, 413--425 (2021; Zbl 1513.65308) Full Text: DOI
Duan, Junming; Tang, Huazhong High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics. (English) Zbl 07511453 J. Comput. Phys. 431, Article ID 110136, 26 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{J. Duan} and \textit{H. Tang}, J. Comput. Phys. 431, Article ID 110136, 26 p. (2021; Zbl 07511453) Full Text: DOI arXiv
Shi, Yao; Ma, Qiang; Ding, Xiaohua Conservative difference scheme for fractional Zakharov system and convergence analysis. (English) Zbl 1480.65223 Int. J. Comput. Math. 98, No. 7, 1474-1494 (2021). MSC: 65M06 65M12 35Q51 PDFBibTeX XMLCite \textit{Y. Shi} et al., Int. J. Comput. Math. 98, No. 7, 1474--1494 (2021; Zbl 1480.65223) Full Text: DOI
Poveshchenko, Yu. A.; Popov, S. B.; Golovchenko, E. N. Development of a method for calculating flows in a multi-circuit pipeline networks. (Russian. English summary) Zbl 1484.76051 Mat. Model. 33, No. 12, 103-122 (2021). MSC: 76M20 76N15 65Y05 PDFBibTeX XMLCite \textit{Yu. A. Poveshchenko} et al., Mat. Model. 33, No. 12, 103--122 (2021; Zbl 1484.76051) Full Text: DOI MNR
Cartwright, Malcolm; Falle, Sam A. E. G. Numerical modelling of steady detonations with a variational streamline approach. (English) Zbl 1497.76120 J. Eng. Math. 129, Paper No. 15, 19 p. (2021). MSC: 76V05 76L05 76M12 76M20 PDFBibTeX XMLCite \textit{M. Cartwright} and \textit{S. A. E. G. Falle}, J. Eng. Math. 129, Paper No. 15, 19 p. (2021; Zbl 1497.76120) Full Text: DOI
Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander Hybrid multifluid algorithms based on the path-conservative central-upwind scheme. (English) Zbl 1493.76068 J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021). Reviewer: Mária Lukáčová (Mainz) MSC: 76M12 76M20 76M99 76N15 76T99 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021; Zbl 1493.76068) Full Text: DOI
Zhang, Gengen Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation. (English) Zbl 1508.65113 Appl. Math. Comput. 401, Article ID 126055, 14 p. (2021). MSC: 65M06 35L05 65M12 PDFBibTeX XMLCite \textit{G. Zhang}, Appl. Math. Comput. 401, Article ID 126055, 14 p. (2021; Zbl 1508.65113) Full Text: DOI
Boscarino, Sebastiano; Cho, Seung-Yeon; Russo, Giovanni; Yun, Seok-Bae High order conservative semi-Lagrangian scheme for the BGK model of the Boltzmann equation. (English) Zbl 1474.65270 Commun. Comput. Phys. 29, No. 1, 1-56 (2021). MSC: 65M06 65M25 76P05 PDFBibTeX XMLCite \textit{S. Boscarino} et al., Commun. Comput. Phys. 29, No. 1, 1--56 (2021; Zbl 1474.65270) Full Text: DOI arXiv
Hu, Dongdong; Cai, Wenjun; Wang, Yushun Two linearly implicit energy preserving exponential scalar auxiliary variable approaches for multi-dimensional fractional nonlinear Schrödinger equations. (English) Zbl 1524.65351 Appl. Math. Lett. 122, Article ID 107544, 7 p. (2021). MSC: 65M06 35Q55 65M12 35R11 65P10 65N35 65B05 26A33 PDFBibTeX XMLCite \textit{D. Hu} et al., Appl. Math. Lett. 122, Article ID 107544, 7 p. (2021; Zbl 1524.65351) Full Text: DOI
Boudjerada, Rachida; El Hajj, Ahmad; Oussaily, Aya Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems. (English) Zbl 1501.65028 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 573-591 (2021). MSC: 65M06 65N06 74G22 74C10 74S20 70H20 35A01 35F20 35F21 35Q74 PDFBibTeX XMLCite \textit{R. Boudjerada} et al., ESAIM, Math. Model. Numer. Anal. 55, 573--591 (2021; Zbl 1501.65028) Full Text: DOI
Olkhovskaya, O. G.; Krukovsky, A. Yu.; Poveschenko, Yu. A.; Sharova, Yu. S.; Gasilov, V. A. ALE-MHD technique for modeling three-dimensional magnetic implosion of a liner. (English) Zbl 1488.78021 Math. Montisnigri 50, 119-139 (2021). MSC: 78M20 65M06 76W05 80M20 76X05 80A21 78A30 PDFBibTeX XMLCite \textit{O. G. Olkhovskaya} et al., Math. Montisnigri 50, 119--139 (2021; Zbl 1488.78021) Full Text: DOI
Mustafa, Muhammad I.; Messaoudi, Salim A.; Zahri, Mostafa Theoretical and computational results of a wave equation with variable exponent and time-dependent nonlinear damping. (English) Zbl 1471.35206 Arab. J. Math. 10, No. 2, 443-458 (2021). MSC: 35L71 35B40 35L20 65M06 93D15 93D20 PDFBibTeX XMLCite \textit{M. I. Mustafa} et al., Arab. J. Math. 10, No. 2, 443--458 (2021; Zbl 1471.35206) Full Text: DOI
Boldarev, A. S.; Gasilov, V. A.; Krukovskiĭ, A. Yu.; Poveshchenko, Yu. A. The technique of solution of the magnetohydrodynamics tasks in quasi-Lagrangian variables. (Russian. English summary) Zbl 1466.76032 Mat. Model. 33, No. 6, 17-30 (2021). MSC: 76M20 76W05 PDFBibTeX XMLCite \textit{A. S. Boldarev} et al., Mat. Model. 33, No. 6, 17--30 (2021; Zbl 1466.76032) Full Text: DOI MNR
Wang, Junjie High-order conservative schemes for the space fractional nonlinear Schrödinger equation. (English) Zbl 1475.65084 Appl. Numer. Math. 165, 248-269 (2021). MSC: 65M06 65N06 65B05 65M12 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{J. Wang}, Appl. Numer. Math. 165, 248--269 (2021; Zbl 1475.65084) Full Text: DOI
Zhang, Gengen; Su, Chunmei A conservative linearly-implicit compact difference scheme for the quantum Zakharov system. (English) Zbl 1467.35270 J. Sci. Comput. 87, No. 3, Paper No. 71, 24 p. (2021). MSC: 35Q40 35Q53 35C08 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{C. Su}, J. Sci. Comput. 87, No. 3, Paper No. 71, 24 p. (2021; Zbl 1467.35270) Full Text: DOI
Xing, Zhiyong; Wen, Liping; Wang, Wansheng An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional sine-Gordon equations. (English) Zbl 1524.65422 Math. Comput. Simul. 181, 624-641 (2021). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{Z. Xing} et al., Math. Comput. Simul. 181, 624--641 (2021; Zbl 1524.65422) Full Text: DOI
Xing, Zhiyong; Wen, Liping; Xiao, Hanyu A fourth-order conservative difference scheme for the Riesz space-fractional sine-Gordon equations and its fast implementation. (English) Zbl 1459.65161 Appl. Numer. Math. 159, 221-238 (2021). MSC: 65M06 65M12 65H10 65T50 15B05 35R11 35Q53 PDFBibTeX XMLCite \textit{Z. Xing} et al., Appl. Numer. Math. 159, 221--238 (2021; Zbl 1459.65161) Full Text: DOI
Cui, Jin; Xu, Zhuangzhi; Wang, Yushun; Jiang, Chaolong Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation. (English) Zbl 1454.65058 Appl. Math. Lett. 112, Article ID 106770, 8 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65L06 65P10 35A22 35Q55 PDFBibTeX XMLCite \textit{J. Cui} et al., Appl. Math. Lett. 112, Article ID 106770, 8 p. (2021; Zbl 1454.65058) Full Text: DOI arXiv
Harmatii, G. Yu. Numerical determination of unsteady thermal state of a three-layer hollow heat-sensitive cylinder under complex heat exchange. (Ukrainian, English) Zbl 1513.74080 Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 129-136 (2020); translation in J. Math. Sci., NY 272, No. 1, 151-160 (2023). Reviewer: A. N. Chernienko (Kyïv) MSC: 74F05 74K10 74N15 PDFBibTeX XMLCite \textit{G. Yu. Harmatii}, Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 129--136 (2020; Zbl 1513.74080); translation in J. Math. Sci., NY 272, No. 1, 151--160 (2023)
Wongsaijai, Ben; Sukantamala, Nattakorn; Poochinapan, Kanyuta A mass-conservative higher-order ADI method for solving unsteady convection-diffusion equations. (English) Zbl 1486.65134 Adv. Difference Equ. 2020, Paper No. 513, 23 p. (2020). MSC: 65M06 65M12 35K15 65N30 65N12 PDFBibTeX XMLCite \textit{B. Wongsaijai} et al., Adv. Difference Equ. 2020, Paper No. 513, 23 p. (2020; Zbl 1486.65134) Full Text: DOI
Li, Shu-Cun; Li, Xiang-Gui High-order conservative schemes for the nonlinear Dirac equation. (English) Zbl 07476511 Int. J. Comput. Math. 97, No. 11, 2355-2374 (2020). MSC: 65-XX 35L05 81-08 65M06 PDFBibTeX XMLCite \textit{S.-C. Li} and \textit{X.-G. Li}, Int. J. Comput. Math. 97, No. 11, 2355--2374 (2020; Zbl 07476511) Full Text: DOI
Trofimov, Vyacheslav A.; Loginova, Maria M.; Egorenkov, Vladimir A. Conservative finite-difference scheme for the 2D problem of femtosecond laser pulse interaction with kink structure of high absorption in semiconductor. (English) Zbl 1480.65316 Int. J. Comput. Math. 97, No. 1-2, 207-244 (2020). MSC: 65N06 65N12 35Q60 PDFBibTeX XMLCite \textit{V. A. Trofimov} et al., Int. J. Comput. Math. 97, No. 1--2, 207--244 (2020; Zbl 1480.65316) Full Text: DOI
Duan, Junming; Tang, Huazhong High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics. (English) Zbl 1488.65238 Adv. Appl. Math. Mech. 12, No. 1, 1-29 (2020). MSC: 65M06 65L06 65N06 76X05 76L05 76M20 35Q35 PDFBibTeX XMLCite \textit{J. Duan} and \textit{H. Tang}, Adv. Appl. Math. Mech. 12, No. 1, 1--29 (2020; Zbl 1488.65238) Full Text: DOI arXiv
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows. (English) Zbl 1453.76131 J. Comput. Phys. 406, Article ID 109192, 44 p. (2020). MSC: 76M20 76T10 76D05 PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 406, Article ID 109192, 44 p. (2020; Zbl 1453.76131) Full Text: DOI
Soler, J. A.; Schwander, F.; Giorgiani, G.; Liandrat, J.; Tamain, P.; Serre, E. A new conservative finite-difference scheme for anisotropic elliptic problems in bounded domain. (English) Zbl 1453.65385 J. Comput. Phys. 405, Article ID 109093, 24 p. (2020). MSC: 65N06 35J57 35J05 PDFBibTeX XMLCite \textit{J. A. Soler} et al., J. Comput. Phys. 405, Article ID 109093, 24 p. (2020; Zbl 1453.65385) Full Text: DOI HAL
Vega, Carlos A.; Valbuena, Sonia Numerical approximations of the Keyfitz-Kranzer type models by using entropy stable schemes. (English) Zbl 1458.65114 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 14, No. 3-4, 1-15 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 35L65 35L45 35L67 58J45 65M12 PDFBibTeX XMLCite \textit{C. A. Vega} and \textit{S. Valbuena}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 14, No. 3--4, 1--15 (2020; Zbl 1458.65114) Full Text: Link
Dorodnitsyn, V. A.; Kaptsov, E. I. Shallow water equations in Lagrangian coordinates: symmetries, conservation laws and its preservation in difference models. (English) Zbl 1450.76024 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105343, 23 p. (2020). MSC: 76M20 76B15 76M60 PDFBibTeX XMLCite \textit{V. A. Dorodnitsyn} and \textit{E. I. Kaptsov}, Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105343, 23 p. (2020; Zbl 1450.76024) Full Text: DOI arXiv
Wang, Xiaofeng; Dai, Weizhong A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation. (English) Zbl 1463.65251 Comput. Appl. Math. 39, No. 3, Paper No. 237, 19 p. (2020). MSC: 65M06 65M12 65N06 35Q53 PDFBibTeX XMLCite \textit{X. Wang} and \textit{W. Dai}, Comput. Appl. Math. 39, No. 3, Paper No. 237, 19 p. (2020; Zbl 1463.65251) Full Text: DOI
Trofimov, Vyacheslav; Loginova, Maria; Egorenkov, Vladimir Conservative finite-difference scheme for computer simulation of contrast 3D spatial-temporal structures induced by a laser pulse in a semiconductor. (English) Zbl 1446.65078 Math. Methods Appl. Sci. 43, No. 7, 4895-4917 (2020). MSC: 65M06 65T50 78M20 78A60 35Q60 82D37 35Q81 PDFBibTeX XMLCite \textit{V. Trofimov} et al., Math. Methods Appl. Sci. 43, No. 7, 4895--4917 (2020; Zbl 1446.65078) Full Text: DOI
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Xing, Yulong Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations. (English) Zbl 1445.76055 J. Sci. Comput. 83, No. 3, Paper No. 66, 32 p. (2020). MSC: 76M12 76M20 76B15 86-08 PDFBibTeX XMLCite \textit{X. Wen} et al., J. Sci. Comput. 83, No. 3, Paper No. 66, 32 p. (2020; Zbl 1445.76055) Full Text: DOI
Rahimly, Orkhan; Podryga, Viktoriia; Poveshchenko, Yury; Rahimly, Parvin; Sharova, Yulia Two-layer completely conservative difference scheme of gas dynamics in Eulerian variables with adaptive regularization of solution. (English) Zbl 07223076 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 12th international conference, LSSC 2019, Sozopol, Bulgaria, June 10–14, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11958, 618-625 (2020). MSC: 65-XX PDFBibTeX XMLCite \textit{O. Rahimly} et al., Lect. Notes Comput. Sci. 11958, 618--625 (2020; Zbl 07223076) Full Text: DOI
Krukovskiĭ, A. Yu.; Gasilov, V. A.; Poveshchenko, Yu. A.; Sharova, Yu. S.; Klochkova, L. V. Implementation of the iterative algorithm for numerical solution of 2D magnetogasdynamics problems. (Russian. English summary) Zbl 1470.65228 Mat. Model. 32, No. 1, 50-70 (2020). MSC: 65Z05 35Q35 76W05 PDFBibTeX XMLCite \textit{A. Yu. Krukovskiĭ} et al., Mat. Model. 32, No. 1, 50--70 (2020; Zbl 1470.65228) Full Text: DOI MNR
Xie, Shusen; Yi, Su-Cheol A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations. (English) Zbl 1436.65114 Adv. Comput. Math. 46, No. 1, Paper No. 1, 22 p. (2020). MSC: 65M06 65M12 65M15 35C08 35Q55 35Q53 PDFBibTeX XMLCite \textit{S. Xie} and \textit{S.-C. Yi}, Adv. Comput. Math. 46, No. 1, Paper No. 1, 22 p. (2020; Zbl 1436.65114) Full Text: DOI
Macías-Díaz, J. E. Existence of solutions of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system. (English) Zbl 1433.65161 Appl. Numer. Math. 151, 40-43 (2020). MSC: 65M06 35R11 35Q53 35A01 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz}, Appl. Numer. Math. 151, 40--43 (2020; Zbl 1433.65161) Full Text: DOI
Don, Wai Sun; Li, Dong-Mei; Gao, Zhen; Wang, Bao-Shan A characteristic-wise alternative WENO-Z finite difference scheme for solving the compressible multicomponent non-reactive flows in the overestimated quasi-conservative form. (English) Zbl 1448.76130 J. Sci. Comput. 82, No. 2, Paper No. 27, 24 p. (2020). MSC: 76N15 76T30 76M20 76L05 PDFBibTeX XMLCite \textit{W. S. Don} et al., J. Sci. Comput. 82, No. 2, Paper No. 27, 24 p. (2020; Zbl 1448.76130) Full Text: DOI
Bürger, Raimund; Torres, Héctor; Vega, Carlos A. An entropy stable scheme for the multiclass Lighthill-Whitham-Richards traffic model. (English) Zbl 1488.65225 Adv. Appl. Math. Mech. 11, No. 5, 1022-1047 (2019). MSC: 65M06 35L45 35L65 76A99 90B20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Adv. Appl. Math. Mech. 11, No. 5, 1022--1047 (2019; Zbl 1488.65225) Full Text: DOI
Achchab, Boujemâa; Agouzal, Abdellatif; El Idrissi, Abdelmjid Qadi Numerical simulations for non conservative hyperbolic system. Application to transient two-phase flow with cavitation phenomenon. (English) Zbl 1473.65090 Math. Model. Anal. 24, No. 2, 218-235 (2019). MSC: 65M06 35L45 35L50 76T10 PDFBibTeX XMLCite \textit{B. Achchab} et al., Math. Model. Anal. 24, No. 2, 218--235 (2019; Zbl 1473.65090) Full Text: DOI
Fu, Yayun; Song, Yongzhong; Wang, Yushun Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation. (English) Zbl 07316767 Math. Comput. Simul. 166, 206-223 (2019). MSC: 35Qxx 65Mxx 65Zxx PDFBibTeX XMLCite \textit{Y. Fu} et al., Math. Comput. Simul. 166, 206--223 (2019; Zbl 07316767) Full Text: DOI
Trofimov, Vyacheslav A.; Trykin, Evgeny M. Enhancement of ABCs efficiency at computer simulation of optical pulse interaction with inhomogeneous nonlinear medium. (English) Zbl 1453.65235 J. Comput. Phys. 399, Article ID 108947, 19 p. (2019). MSC: 65M06 65Z05 35Q60 35Q55 78A60 PDFBibTeX XMLCite \textit{V. A. Trofimov} and \textit{E. M. Trykin}, J. Comput. Phys. 399, Article ID 108947, 19 p. (2019; Zbl 1453.65235) Full Text: DOI
Gamba, Irene M.; Jin, Shi; Liu, Liu Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations. (English) Zbl 1451.76112 J. Comput. Phys. 382, 264-290 (2019). MSC: 76P05 76M20 76M12 65M06 65M08 35R09 35Q20 PDFBibTeX XMLCite \textit{I. M. Gamba} et al., J. Comput. Phys. 382, 264--290 (2019; Zbl 1451.76112) Full Text: DOI arXiv
Rabbani, Omar; Ahmed, Munshoor; Zia, Saqib Transport of pollutant in shallow flows: a space-time CE/SE scheme. (English) Zbl 1442.65174 Comput. Math. Appl. 77, No. 12, 3195-3211 (2019). MSC: 65M06 35Q35 35Q53 76D05 92D40 PDFBibTeX XMLCite \textit{O. Rabbani} et al., Comput. Math. Appl. 77, No. 12, 3195--3211 (2019; Zbl 1442.65174) Full Text: DOI
Yang, Junxiang; Li, Yibao; Lee, Chaeyoung; Jeong, Darae; Kim, Junseok A conservative finite difference scheme for the \(N\)-component Cahn-Hilliard system on curved surfaces in 3D. (English) Zbl 1436.65115 J. Eng. Math. 119, 149-166 (2019). MSC: 65M06 35Q35 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Eng. Math. 119, 149--166 (2019; Zbl 1436.65115) Full Text: DOI
Aydin, Ayhan A convergent two-level linear scheme for the generalized Rosenau-KdV-RLW equation. (English) Zbl 1447.65016 Turk. J. Math. 43, No. 5, 2226-2245 (2019). Reviewer: Hilmi Demiray (Istanbul) MSC: 65M06 65N12 65N15 35Q53 35C08 PDFBibTeX XMLCite \textit{A. Aydin}, Turk. J. Math. 43, No. 5, 2226--2245 (2019; Zbl 1447.65016) Full Text: Link
Zhang, Fayong; Jiang, Xue A finite difference method for a class of nonlinear Schrödinger equations involving quintic terms. (Chinese. English summary) Zbl 1449.65209 Numer. Math., Nanjing 41, No. 2, 116-125 (2019). MSC: 65M06 65M15 35Q55 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. Jiang}, Numer. Math., Nanjing 41, No. 2, 116--125 (2019; Zbl 1449.65209)
Wang, Xiaofeng; Dai, Weizhong; Guo, Shuangbing A conservative linear difference scheme for the 2D regularized long-wave equation. (English) Zbl 1429.65200 Appl. Math. Comput. 342, 55-70 (2019); corrigendum ibid. 395, Article ID 125909, 4 p. (2021). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Comput. 342, 55--70 (2019; Zbl 1429.65200) Full Text: DOI
Hong, Qi; Wang, Jialing; Gong, Yuezheng Second-order linear structure-preserving modified finite volume schemes for the regularized long wave equation. (English) Zbl 1428.35450 Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6445-6464 (2019). MSC: 35Q53 65M08 65M06 PDFBibTeX XMLCite \textit{Q. Hong} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6445--6464 (2019; Zbl 1428.35450) Full Text: DOI arXiv
Trofimov, Vyacheslav A.; Trykin, Evgeny M. Explicit and conditionally stable combined numerical method for 1D and 2D nonlinear Schrödinger equation. (English) Zbl 1434.65138 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, 550-557 (2019). MSC: 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{V. A. Trofimov} and \textit{E. M. Trykin}, Lect. Notes Comput. Sci. 11386, 550--557 (2019; Zbl 1434.65138) Full Text: DOI
Xiao, Aiguo; Wang, Chenxi; Wang, Junjie Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction. (English) Zbl 1457.65065 Appl. Numer. Math. 146, 379-399 (2019). MSC: 65M06 35R11 35Q53 PDFBibTeX XMLCite \textit{A. Xiao} et al., Appl. Numer. Math. 146, 379--399 (2019; Zbl 1457.65065) Full Text: DOI
Azarova, O. A.; Shakhov, E. M. Propagation of a shock wave through a viscous heat-conducting gas in a long microchannel. (English. Russian original) Zbl 1421.76146 Fluid Dyn. 54, No. 3, 404-413 (2019); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2019, No. 3, 113-122 (2019). MSC: 76L05 76M20 80A20 PDFBibTeX XMLCite \textit{O. A. Azarova} and \textit{E. M. Shakhov}, Fluid Dyn. 54, No. 3, 404--413 (2019; Zbl 1421.76146); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2019, No. 3, 113--122 (2019) Full Text: DOI
Ji, Bingquan; Zhang, Luming; Zhou, Xuanxuan Conservative compact finite difference scheme for the \(N\)-coupled nonlinear Klein-Gordon equations. (English) Zbl 1418.65100 Numer. Methods Partial Differ. Equations 35, No. 3, 1056-1079 (2019). MSC: 65M06 65M12 35C08 35Q53 35Q51 PDFBibTeX XMLCite \textit{B. Ji} et al., Numer. Methods Partial Differ. Equations 35, No. 3, 1056--1079 (2019; Zbl 1418.65100) Full Text: DOI
Zhou, Xuanxuan; Wang, Tingchun; Ji, Bingquan; Zhang, Luming Optimal \({H}^2\)-error estimates of conservative compact difference scheme for the Zakharov equation in two-space dimension. (English) Zbl 1418.65111 Math. Methods Appl. Sci. 42, No. 9, 3088-3102 (2019). MSC: 65M06 65M12 65M15 65T50 PDFBibTeX XMLCite \textit{X. Zhou} et al., Math. Methods Appl. Sci. 42, No. 9, 3088--3102 (2019; Zbl 1418.65111) Full Text: DOI
Li, Shuguang Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations. (English) Zbl 1416.76185 Numer. Methods Partial Differ. Equations 35, No. 1, 60-83 (2019). MSC: 76M20 65M06 65M12 65M25 35Q35 76B15 PDFBibTeX XMLCite \textit{S. Li}, Numer. Methods Partial Differ. Equations 35, No. 1, 60--83 (2019; Zbl 1416.76185) Full Text: DOI
Ghosh, D.; Chapman, T. D.; Berger, R. L.; Dimits, A.; Banks, J. W. A multispecies, multifluid model for laser-induced counterstreaming plasma simulations. (English) Zbl 1467.76076 Comput. Fluids 186, 38-57 (2019). MSC: 76X05 76M20 PDFBibTeX XMLCite \textit{D. Ghosh} et al., Comput. Fluids 186, 38--57 (2019; Zbl 1467.76076) Full Text: DOI
Wang, Xiaofeng; Dai, Weizhong A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D. (English) Zbl 1432.65127 J. Comput. Appl. Math. 355, 310-331 (2019). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{X. Wang} and \textit{W. Dai}, J. Comput. Appl. Math. 355, 310--331 (2019; Zbl 1432.65127) Full Text: DOI
Trofimov, Vyacheslav A.; Loginova, Maria M.; Egorenkov, Vladimir A. A mathematical model of optical bistability and the multiplicity of its solutions. (English) Zbl 1427.78022 J. Comput. Appl. Math. 354, 663-681 (2019). Reviewer: Michael Jung (Dresden) MSC: 78A60 82D37 78M20 65M06 65M12 PDFBibTeX XMLCite \textit{V. A. Trofimov} et al., J. Comput. Appl. Math. 354, 663--681 (2019; Zbl 1427.78022) Full Text: DOI
Ayryan, Edik A.; Malykh, Mikhail D.; Sevastianov, Leonid A.; Ying, Yu Finite difference schemes and classical transcendental functions. (English) Zbl 07062833 Nikolov, Geno (ed.) et al., Numerical methods and applications. 9th international conference, NMA 2018, Borovets, Bulgaria, August 20–24, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11189, 235-242 (2019). MSC: 65-XX PDFBibTeX XMLCite \textit{E. A. Ayryan} et al., Lect. Notes Comput. Sci. 11189, 235--242 (2019; Zbl 07062833) Full Text: DOI
Liao, Feng; Zhang, Luming Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger-Boussinesq equations. (English) Zbl 1499.65402 Int. J. Comput. Math. 95, No. 5, 961-978 (2018). MSC: 65M06 65N06 35Q55 35Q51 65M12 65M15 35C08 35Q35 PDFBibTeX XMLCite \textit{F. Liao} and \textit{L. Zhang}, Int. J. Comput. Math. 95, No. 5, 961--978 (2018; Zbl 1499.65402) Full Text: DOI
Trofimov, Vyacheslav A.; Loginova, Maria M.; Egorenkov, Vladimir A. Conservative finite-difference scheme and two-stage iteration process of its realization for the 2D problem of semiconductor plasma generation by femtosecond pulse. (English) Zbl 1488.65293 Commun. Comput. Phys. 23, No. 5, 1512-1533 (2018). MSC: 65M06 65N06 65M12 82D37 78A60 76K05 35J05 82D10 78M20 PDFBibTeX XMLCite \textit{V. A. Trofimov} et al., Commun. Comput. Phys. 23, No. 5, 1512--1533 (2018; Zbl 1488.65293) Full Text: DOI Link
Seol, Yunchang; Hsu, Shih-Hsuan; Lai, Ming-Chih An immersed boundary method for simulating interfacial flows with insoluble surfactant in three dimensions. (English) Zbl 1488.35449 Commun. Comput. Phys. 23, No. 3, 640-664 (2018). MSC: 35Q35 65M06 76D45 PDFBibTeX XMLCite \textit{Y. Seol} et al., Commun. Comput. Phys. 23, No. 3, 640--664 (2018; Zbl 1488.35449) Full Text: DOI
Wang, Junjie; Xiao, Aiguo; Wang, Chenxi A conservative difference scheme for space fractional Klein-Gordon-Schrödinger equations with a high-degree Yukawa interaction. (English) Zbl 1468.65114 East Asian J. Appl. Math. 8, No. 4, 715-745 (2018). MSC: 65M06 65N06 65M12 35Q55 35R11 PDFBibTeX XMLCite \textit{J. Wang} et al., East Asian J. Appl. Math. 8, No. 4, 715--745 (2018; Zbl 1468.65114) Full Text: DOI
Su, Yunde; Kim, Seung Hyun An improved consistent, conservative, non-oscillatory and high order finite difference scheme for variable density low Mach number turbulent flow simulation. (English) Zbl 1415.76487 J. Comput. Phys. 372, 202-219 (2018). MSC: 76M20 76N15 65M06 PDFBibTeX XMLCite \textit{Y. Su} and \textit{S. H. Kim}, J. Comput. Phys. 372, 202--219 (2018; Zbl 1415.76487) Full Text: DOI Link
Jiang, Juxia; Wang, Bo; Wang, Xiaofeng A conservative finite difference scheme for 2D nonlinear RLW equation. (Chinese. English summary) Zbl 1424.65132 Math. Pract. Theory 48, No. 17, 229-237 (2018). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{J. Jiang} et al., Math. Pract. Theory 48, No. 17, 229--237 (2018; Zbl 1424.65132)
Wang, Jun-jie; Xiao, Ai-guo An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. (English) Zbl 1427.65189 Appl. Math. Comput. 320, 691-709 (2018). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{J.-j. Wang} and \textit{A.-g. Xiao}, Appl. Math. Comput. 320, 691--709 (2018; Zbl 1427.65189) Full Text: DOI
Wang, Xiaofeng; Dai, Weizhong A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation. (English) Zbl 1413.65407 Comput. Appl. Math. 37, No. 5, 6560-6581 (2018). MSC: 65N06 65M12 35C08 35Q53 PDFBibTeX XMLCite \textit{X. Wang} and \textit{W. Dai}, Comput. Appl. Math. 37, No. 5, 6560--6581 (2018; Zbl 1413.65407) Full Text: DOI
Aregba-Driollet, Denise; Brull, Stéphane Construction and approximation of the polyatomic bitemperature Euler system. (English) Zbl 1407.82044 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems I, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 236, 85-96 (2018). MSC: 82C40 35Q31 76N15 82D10 76X05 82-08 65M06 PDFBibTeX XMLCite \textit{D. Aregba-Driollet} and \textit{S. Brull}, Springer Proc. Math. Stat. 236, 85--96 (2018; Zbl 1407.82044) Full Text: DOI
Li, Shuguang; Wu, Xiaogang \(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations. (English) Zbl 1404.65094 Comput. Appl. Math. 37, No. 3, 2816-2836 (2018). MSC: 65M06 65M12 65F10 47H10 PDFBibTeX XMLCite \textit{S. Li} and \textit{X. Wu}, Comput. Appl. Math. 37, No. 3, 2816--2836 (2018; Zbl 1404.65094) Full Text: DOI
Shatrov, O. A.; Shcheritsa, O. V.; Mazhorova, O. S. Unconditionally stable algorithm for solving the three-dimensional nonstationary Navier-Stokes equations. (English. Russian original) Zbl 1457.76111 Differ. Equ. 54, No. 7, 979-992 (2018); translation from Differ. Uravn. 54, No. 7, 996-1008 (2018). MSC: 76M20 76D05 65Y05 PDFBibTeX XMLCite \textit{O. A. Shatrov} et al., Differ. Equ. 54, No. 7, 979--992 (2018; Zbl 1457.76111); translation from Differ. Uravn. 54, No. 7, 996--1008 (2018) Full Text: DOI
Ji, Bingquan; Zhang, Luming A compact difference scheme for the coupled nonlinear Klein-Gordon equations. (Chinese. English summary) Zbl 1413.65322 J. Jiangsu Norm. Univ., Nat. Sci. 36, No. 1, 51-55 (2018). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{B. Ji} and \textit{L. Zhang}, J. Jiangsu Norm. Univ., Nat. Sci. 36, No. 1, 51--55 (2018; Zbl 1413.65322)
Shiroto, Takashi; Kawai, Soshi; Ohnishi, Naofumi Structure-preserving operators for thermal-nonequilibrium hydrodynamics. (English) Zbl 1392.76044 J. Comput. Phys. 364, 1-17 (2018). MSC: 76M20 76X05 76T99 PDFBibTeX XMLCite \textit{T. Shiroto} et al., J. Comput. Phys. 364, 1--17 (2018; Zbl 1392.76044) Full Text: DOI arXiv
Cai, Yongyong; Yuan, Yongjun Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime. (English) Zbl 1384.35116 Math. Comput. 87, No. 311, 1191-1225 (2018). MSC: 35Q55 65M06 65M12 65M15 76G25 76X05 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{Y. Yuan}, Math. Comput. 87, No. 311, 1191--1225 (2018; Zbl 1384.35116) Full Text: DOI
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei A conservative parallel difference method for 2-dimension diffusion equation. (English) Zbl 1381.65066 Appl. Math. Lett. 78, 72-78 (2018). MSC: 65M06 35K05 65M55 65M12 PDFBibTeX XMLCite \textit{D. Jia} et al., Appl. Math. Lett. 78, 72--78 (2018; Zbl 1381.65066) Full Text: DOI
Wang, Xiaofeng; Dai, Weizhong A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. (English) Zbl 1376.65116 J. Comput. Appl. Math. 330, 295-306 (2018). MSC: 65M06 65M12 35L75 35Q53 PDFBibTeX XMLCite \textit{X. Wang} and \textit{W. Dai}, J. Comput. Appl. Math. 330, 295--306 (2018; Zbl 1376.65116) Full Text: DOI
Hu, Jinsong; Zhou, Jun; Zhuo, Ru A high-accuracy conservative difference approximation for Rosenau-KdV equation. (English) Zbl 1412.65079 J. Nonlinear Sci. Appl. 10, No. 6, 3013-3022 (2017). MSC: 65M06 65N30 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Nonlinear Sci. Appl. 10, No. 6, 3013--3022 (2017; Zbl 1412.65079) Full Text: DOI
Kang, Xiaorong; Feng, Wenqiang; Cheng, Kelong; Guo, Chunxiang An efficient finite difference scheme for the 2D sine-Gordon equation. (English) Zbl 1412.65080 J. Nonlinear Sci. Appl. 10, No. 6, 2998-3012 (2017). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{X. Kang} et al., J. Nonlinear Sci. Appl. 10, No. 6, 2998--3012 (2017; Zbl 1412.65080) Full Text: DOI arXiv
Boukandou-Mombo, Charlotte; Bakrim, Hassan; Claustre, Jonathan; Margot, Joëlle; Matte, Jean-Pierre; Vidal, François New fast accurately conservative scheme for solving numerically the time-dependent isotropic Fokker-Planck equation. (English) Zbl 1411.35252 Comput. Phys. Commun. 220, 173-180 (2017). MSC: 35Q84 65M06 65M12 PDFBibTeX XMLCite \textit{C. Boukandou-Mombo} et al., Comput. Phys. Commun. 220, 173--180 (2017; Zbl 1411.35252) Full Text: DOI
Pan, Xintian; Zhang, Luming On the convergence of a high-accuracy conservative scheme for the Zakharov equations. (English) Zbl 1411.65115 Appl. Math. Comput. 297, 79-91 (2017). MSC: 65M06 65M70 35L70 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{X. Pan} and \textit{L. Zhang}, Appl. Math. Comput. 297, 79--91 (2017; Zbl 1411.65115) Full Text: DOI
Bulygin, Andrey Dmitrievich; Zemlyanov, Aleksandr Anatol‘evich Fully conservative numerical scheme for nonlinear Schrödinger equation with higher nonlinearities. (Russian. English summary) Zbl 1404.65081 Vychisl. Tekhnol. 22, No. 5, 3-13 (2017). MSC: 65M06 35Q55 35Q41 65M50 PDFBibTeX XMLCite \textit{A. D. Bulygin} and \textit{A. A. Zemlyanov}, Vychisl. Tekhnol. 22, No. 5, 3--13 (2017; Zbl 1404.65081) Full Text: Link
Delarue, François; Lagoutière, Frédéric; Vauchelet, Nicolas Convergence order of upwind type schemes for transport equations with discontinuous coefficients. (English. French summary) Zbl 1378.65163 J. Math. Pures Appl. (9) 108, No. 6, 918-951 (2017). MSC: 65M12 65M15 65M06 35L65 35R05 PDFBibTeX XMLCite \textit{F. Delarue} et al., J. Math. Pures Appl. (9) 108, No. 6, 918--951 (2017; Zbl 1378.65163) Full Text: DOI arXiv
Zhang, Xi; Hu, Bing; Hu, Jinsong Weighted conservative difference scheme for the Rosenau-RLW equation. (Chinese. English summary) Zbl 1399.65184 J. Sichuan Univ., Nat. Sci. Ed. 54, No. 1, 1-6 (2017). MSC: 65M06 35Q53 65M12 65M15 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Sichuan Univ., Nat. Sci. Ed. 54, No. 1, 1--6 (2017; Zbl 1399.65184)