Wang, Chuan; Wang, Tianjun; Shang, Youlin Composite Laguerre pseudospectral method for Fokker-Planck equations. (English) Zbl 07794824 Math. Model. Anal. 28, No. 4, 542-560 (2023). MSC: 65M70 35Q84 65R20 82C31 41A30 35K55 PDFBibTeX XMLCite \textit{C. Wang} et al., Math. Model. Anal. 28, No. 4, 542--560 (2023; Zbl 07794824) Full Text: DOI
Hu, Zi Xi; Jiao, Li Guang; Liu, Aihua; Wang, Yuan Cheng; Montgomery Jr, Henry E.; Ho, Yew Kam; Fritzsche, Stephan Resonances in the Hulthén potential: benchmark calculations, critical behaviors, and interference effects. (English) Zbl 07760613 J. Phys. A, Math. Theor. 56, No. 44, Article ID 445301, 21 p. (2023). MSC: 81V45 35P15 35B34 65N35 70M20 82B27 PDFBibTeX XMLCite \textit{Z. X. Hu} et al., J. Phys. A, Math. Theor. 56, No. 44, Article ID 445301, 21 p. (2023; Zbl 07760613) Full Text: DOI
Mirzaee, Farshid; Naserifar, Shiva; Solhi, Erfan Accurate and stable numerical method based on the Floater-Hormann interpolation for stochastic Itô-Volterra integral equations. (English) Zbl 1523.65104 Numer. Algorithms 94, No. 1, 275-292 (2023). MSC: 65R20 60H20 82M22 PDFBibTeX XMLCite \textit{F. Mirzaee} et al., Numer. Algorithms 94, No. 1, 275--292 (2023; Zbl 1523.65104) Full Text: DOI
Mohebalizadeh, Hamed; Fasshauer, Gregory E.; Adibi, Hojatollah Reproducing kernels of Sobolev-Slobodecki\u{j} spaces via Green’s kernel approach: theory and applications. (English) Zbl 07721453 Anal. Appl., Singap. 21, No. 4, 1067-1103 (2023). MSC: 41A30 65D05 82M22 35R11 58C40 46E22 PDFBibTeX XMLCite \textit{H. Mohebalizadeh} et al., Anal. Appl., Singap. 21, No. 4, 1067--1103 (2023; Zbl 07721453) Full Text: DOI
Bessemoulin-Chatard, Marianne; Filbet, Francis On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 1519.65043 SIAM J. Numer. Anal. 61, No. 4, 1664-1688 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65N35 65N12 65N15 82C40 82D10 35A01 35A02 35R09 33C45 35Q60 35Q83 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, SIAM J. Numer. Anal. 61, No. 4, 1664--1688 (2023; Zbl 1519.65043) Full Text: DOI arXiv
Dehghan, Mehdi; Gharibi, Zeinab; Ruiz-Baier, Ricardo Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems. (English) Zbl 1515.65212 J. Sci. Comput. 94, No. 3, Paper No. 72, 50 p. (2023). MSC: 65L60 82B24 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Sci. Comput. 94, No. 3, Paper No. 72, 50 p. (2023; Zbl 1515.65212) Full Text: DOI arXiv
Cheng, Qing; Shen, Jie Length preserving numerical schemes for Landau-Lifshitz equation based on Lagrange multiplier approaches. (English) Zbl 1512.65227 SIAM J. Sci. Comput. 45, No. 2, A530-A553 (2023). MSC: 65M70 65M06 65N35 65N22 65N12 35K61 78A25 82D40 PDFBibTeX XMLCite \textit{Q. Cheng} and \textit{J. Shen}, SIAM J. Sci. Comput. 45, No. 2, A530--A553 (2023; Zbl 1512.65227) Full Text: DOI arXiv
Cai, Jiaxiang; Chen, Juan Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation. (English) Zbl 1500.65081 Appl. Numer. Math. 183, 173-185 (2023). MSC: 65M70 65L06 65N35 65T50 65D32 65H10 35Q55 35Q41 82C10 PDFBibTeX XMLCite \textit{J. Cai} and \textit{J. Chen}, Appl. Numer. Math. 183, 173--185 (2023; Zbl 1500.65081) Full Text: DOI
Oruç, Ömer Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation. (English) Zbl 07778285 Numer. Methods Partial Differ. Equations 38, No. 4, 1068-1089 (2022). MSC: 65M70 65M06 65L06 65N35 65D05 35A24 35R09 78A35 78A25 82D10 35Q60 35Q55 35Q53 PDFBibTeX XMLCite \textit{Ö. Oruç}, Numer. Methods Partial Differ. Equations 38, No. 4, 1068--1089 (2022; Zbl 07778285) Full Text: DOI
Eremin, Yu. A.; Lopushenko, V. V. The effect of spatial dispersion on the field enhancement factor of magnetoplasmonic nanoparticles. (English. Russian original) Zbl 1504.78015 Comput. Math. Model. 33, No. 1, 32-40 (2022); translation from Prikl. Mat. Inf. 69, 36-45 (2022). MSC: 78A60 81V80 78A45 78A25 35J05 35B34 35A02 33C10 82D80 65M70 35Q60 PDFBibTeX XMLCite \textit{Yu. A. Eremin} and \textit{V. V. Lopushenko}, Comput. Math. Model. 33, No. 1, 32--40 (2022; Zbl 1504.78015); translation from Prikl. Mat. Inf. 69, 36--45 (2022) Full Text: DOI
Hu, Jingwei; Wang, Yubo An adaptive dynamical low rank method for the nonlinear Boltzmann equation. (English) Zbl 1504.65223 J. Sci. Comput. 92, No. 2, Paper No. 75, 24 p. (2022). MSC: 65M70 65M06 65N35 65F10 65F55 65M12 65M15 35Q20 76P05 76L05 76N15 82C40 35L67 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Y. Wang}, J. Sci. Comput. 92, No. 2, Paper No. 75, 24 p. (2022; Zbl 1504.65223) Full Text: DOI arXiv
Jiang, Kai; Si, Wei; Xu, Jie Tilt grain boundaries of hexagonal structures: a spectral viewpoint. (English) Zbl 1497.65244 SIAM J. Appl. Math. 82, No. 4, 1267-1286 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 74E15 74J10 82B24 PDFBibTeX XMLCite \textit{K. Jiang} et al., SIAM J. Appl. Math. 82, No. 4, 1267--1286 (2022; Zbl 1497.65244) Full Text: DOI arXiv
Nair, Anjali; Li, Qin; Sun, Weiran Second-order diffusion limit for the phonon transport equation: asymptotics and numerics. (English) Zbl 1495.82029 SN Partial Differ. Equ. Appl. 3, No. 3, Paper No. 38, 17 p. (2022). MSC: 82C70 82C40 82M22 82M20 65M70 65N06 65M12 35C20 35Q82 PDFBibTeX XMLCite \textit{A. Nair} et al., SN Partial Differ. Equ. Appl. 3, No. 3, Paper No. 38, 17 p. (2022; Zbl 1495.82029) Full Text: DOI arXiv
Filbet, Francis; Xiong, Tao Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system. (English) Zbl 1499.76096 Commun. Appl. Math. Comput. 4, No. 1, 34-59 (2022). MSC: 76P05 82C40 65N08 65N35 PDFBibTeX XMLCite \textit{F. Filbet} and \textit{T. Xiong}, Commun. Appl. Math. Comput. 4, No. 1, 34--59 (2022; Zbl 1499.76096) Full Text: DOI arXiv
Jiang, Haiyan; Lu, Tiao; Zhang, Weitong A hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation. (English) Zbl 1487.81086 J. Comput. Appl. Math. 409, Article ID 114152, 12 p. (2022). MSC: 81Q05 65M70 81S30 45K05 82C70 81-10 PDFBibTeX XMLCite \textit{H. Jiang} et al., J. Comput. Appl. Math. 409, Article ID 114152, 12 p. (2022; Zbl 1487.81086) Full Text: DOI
Wang, Tian-jun; Chai, Guo A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line. (English) Zbl 1484.65275 Appl. Numer. Math. 174, 17-33 (2022). MSC: 65M70 65M06 65N35 65M12 33C45 82C31 65M15 PDFBibTeX XMLCite \textit{T.-j. Wang} and \textit{G. Chai}, Appl. Numer. Math. 174, 17--33 (2022; Zbl 1484.65275) Full Text: DOI
Tang, Qinglin; Xie, Manting; Zhang, Yong; Zhang, Yuqing A spectrally accurate numerical method for computing the Bogoliubov-de Gennes excitations of dipolar Bose-Einstein condensates. (English) Zbl 1484.65273 SIAM J. Sci. Comput. 44, No. 1, B100-B121 (2022). MSC: 65M70 68Q25 65T50 65R20 65F15 82C10 82D05 35Q82 PDFBibTeX XMLCite \textit{Q. Tang} et al., SIAM J. Sci. Comput. 44, No. 1, B100--B121 (2022; Zbl 1484.65273) Full Text: DOI
Oruç, Ömer A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates. (English) Zbl 07428002 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022). MSC: 65M70 65M06 65N35 65L06 65D12 65D07 65M12 65M15 35Q55 82C10 82M22 PDFBibTeX XMLCite \textit{Ö. Oruç}, Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022; Zbl 07428002) Full Text: DOI
Patel, J. K.; Moraes, L. R. C.; Vasques, R.; Barros, R. C. Transport synthetic acceleration for the solution of the one-speed nonclassical spectral \(S_N\) equations in slab geometry. (English) Zbl 1497.82018 J. Comput. Appl. Math. 401, Article ID 113768, 9 p. (2022). MSC: 82C70 65N35 35R09 45K05 35Q82 PDFBibTeX XMLCite \textit{J. K. Patel} et al., J. Comput. Appl. Math. 401, Article ID 113768, 9 p. (2022; Zbl 1497.82018) Full Text: DOI arXiv
Aggarwal, Riya Geometrically flexible and efficient numerical solution technique for Bragg edge neutron transmission strain tomography. (English) Zbl 1478.78068 Bull. Aust. Math. Soc. 104, No. 3, 522-524 (2021). MSC: 78M10 78A45 78A46 78M22 82D75 PDFBibTeX XMLCite \textit{R. Aggarwal}, Bull. Aust. Math. Soc. 104, No. 3, 522--524 (2021; Zbl 1478.78068) Full Text: DOI
Taleei, Ameneh A moving kriging interpolation-based meshfree method for solving two-phase elasticity system. (English) Zbl 1474.74014 J. Math. Model. 9, No. 1, 1-12 (2021). MSC: 74A50 74B05 65N35 82B24 74N20 PDFBibTeX XMLCite \textit{A. Taleei}, J. Math. Model. 9, No. 1, 1--12 (2021; Zbl 1474.74014) Full Text: DOI
Hu, Jingwei; Qi, Kunlun; Yang, Tong A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation. (English) Zbl 1462.35235 SIAM J. Numer. Anal. 59, No. 2, 613-633 (2021). MSC: 35Q20 65M12 65M70 45G10 76P05 82C40 35A01 35A02 PDFBibTeX XMLCite \textit{J. Hu} et al., SIAM J. Numer. Anal. 59, No. 2, 613--633 (2021; Zbl 1462.35235) Full Text: DOI arXiv
Zweck, John; Chen, Yanping; Goeckner, Matthew J.; Shen, Yannan Spectral computation of low probability tails for the homogeneous Boltzmann equation. (English) Zbl 1475.65151 Appl. Numer. Math. 162, 301-317 (2021). Reviewer: Hendrik Ranocha (Münster) MSC: 65M70 35Q20 65M06 65L06 65M15 82C70 82C40 82D10 PDFBibTeX XMLCite \textit{J. Zweck} et al., Appl. Numer. Math. 162, 301--317 (2021; Zbl 1475.65151) Full Text: DOI arXiv
Gholampour, Faranak; Hesameddini, Esmail; Taleei, Ameneh A stable RBF partition of unity local method for elliptic interface problems in two dimensions. (English) Zbl 1464.65202 Eng. Anal. Bound. Elem. 123, 220-232 (2021). MSC: 65N35 35J57 65D12 82B24 PDFBibTeX XMLCite \textit{F. Gholampour} et al., Eng. Anal. Bound. Elem. 123, 220--232 (2021; Zbl 1464.65202) Full Text: DOI
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; He, Yinnian Stability and error estimate of the operator splitting method for the phase field crystal equation. (English) Zbl 1456.65136 J. Sci. Comput. 86, No. 1, Paper No. 8, 23 p. (2021). MSC: 65M70 65T50 65M12 35K57 35R11 74N05 35Q74 82D80 PDFBibTeX XMLCite \textit{S. Zhai} et al., J. Sci. Comput. 86, No. 1, Paper No. 8, 23 p. (2021; Zbl 1456.65136) Full Text: DOI
Garcia, R. D. M. A numerically stable spherical harmonics solution for the neutron transport equation in a spherical shell. (English) Zbl 1453.65452 J. Comput. Phys. 405, Article ID 109139, 19 p. (2020). MSC: 65R20 65N35 82D75 35R09 45D05 PDFBibTeX XMLCite \textit{R. D. M. Garcia}, J. Comput. Phys. 405, Article ID 109139, 19 p. (2020; Zbl 1453.65452) Full Text: DOI
Vasques, R.; Moraes, L. R. C.; Barros, R. C.; Slaybaugh, R. N. A spectral approach for solving the nonclassical transport equation. (English) Zbl 1453.82105 J. Comput. Phys. 402, Article ID 109078, 15 p. (2020). MSC: 82M22 65N35 35Q82 82D75 35R09 PDFBibTeX XMLCite \textit{R. Vasques} et al., J. Comput. Phys. 402, Article ID 109078, 15 p. (2020; Zbl 1453.82105) Full Text: DOI arXiv
Abdelkawy, M. A. Accurate spectral algorithms for solving variable-order fractional percolation equations. (English) Zbl 1451.76089 Appl. Appl. Math. 15, No. 2, 1004-1024 (2020). MSC: 76M22 35R11 41A55 82C43 PDFBibTeX XMLCite \textit{M. A. Abdelkawy}, Appl. Appl. Math. 15, No. 2, 1004--1024 (2020; Zbl 1451.76089) Full Text: Link
Fan, Yuwei; Li, Ruo; Zheng, Lingchao A nonlinear hyperbolic model for radiative transfer equation in slab geometry. (English) Zbl 1455.35247 SIAM J. Appl. Math. 80, No. 6, 2388-2419 (2020). Reviewer: Vladimir Čadež (Beograd) MSC: 35Q60 35L60 35L02 35L40 35L45 35L65 78A10 78A40 78M05 78M22 82C70 PDFBibTeX XMLCite \textit{Y. Fan} et al., SIAM J. Appl. Math. 80, No. 6, 2388--2419 (2020; Zbl 1455.35247) Full Text: DOI arXiv
Antoine, Xavier; Geuzaine, Christophe; Tang, Qinglin Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates. (English) Zbl 1453.65353 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105406, 15 p. (2020). MSC: 65M70 35Q41 35Q55 82C10 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105406, 15 p. (2020; Zbl 1453.65353) Full Text: DOI HAL
Tanbay, Tayfun; Ozgener, B. Fully meshless solution of the one-dimensional multigroup neutron transport equation with the radial basis function collocation method. (English) Zbl 1443.65395 Comput. Math. Appl. 79, No. 5, 1266-1286 (2020). MSC: 65N35 45K05 65D12 82D75 PDFBibTeX XMLCite \textit{T. Tanbay} and \textit{B. Ozgener}, Comput. Math. Appl. 79, No. 5, 1266--1286 (2020; Zbl 1443.65395) Full Text: DOI
Crestetto, Anaïs; Klingenberg, Christian; Pirner, Marlies Kinetic/fluid micro-macro numerical scheme for a two component gas mixture. (English) Zbl 1446.65137 Multiscale Model. Simul. 18, No. 2, 970-998 (2020). MSC: 65M75 82C40 82D10 35B40 76M28 76T06 76P05 35Q20 65M70 PDFBibTeX XMLCite \textit{A. Crestetto} et al., Multiscale Model. Simul. 18, No. 2, 970--998 (2020; Zbl 1446.65137) Full Text: DOI arXiv
Li, Ruo; Wang, Yanli; Wang, Yixuan Approximation to singular quadratic collision model in Fokker-Planck-Landau equation. (English) Zbl 1447.65101 SIAM J. Sci. Comput. 42, No. 3, B792-B815 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 82D10 65N35 82C31 35Q84 PDFBibTeX XMLCite \textit{R. Li} et al., SIAM J. Sci. Comput. 42, No. 3, B792--B815 (2020; Zbl 1447.65101) Full Text: DOI arXiv
Du, Qiang; Feng, Xiaobing The phase field method for geometric moving interfaces and their numerical approximations. (English) Zbl 1455.35276 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 21, 425-508 (2020). MSC: 35Qxx 65M06 65M60 65M70 65M20 65M12 65M15 65Z05 35B25 35K20 35K35 74A50 74N20 76T30 80A22 82C26 92C17 92C37 92C55 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Feng}, Handb. Numer. Anal. 21, 425--508 (2020; Zbl 1455.35276) Full Text: DOI arXiv
Jiang, Kai; Si, Wei High-order energy stable schemes of incommensurate phase-field crystal model. (English) Zbl 1443.82025 Electron. Res. Arch. 28, No. 2, 1077-1093 (2020). MSC: 82M22 65M70 35Q82 82D25 PDFBibTeX XMLCite \textit{K. Jiang} and \textit{W. Si}, Electron. Res. Arch. 28, No. 2, 1077--1093 (2020; Zbl 1443.82025) Full Text: DOI arXiv
Delgadillo, Ricardo; Liu, Di A spectral algorithm for the time-dependent Kohn-Sham equations: accurately treating external potentials based on frozen Gaussian approximations. (English) Zbl 1448.65181 SIAM J. Sci. Comput. 42, No. 3, B656-B674 (2020). MSC: 65M70 35Q55 82M36 PDFBibTeX XMLCite \textit{R. Delgadillo} and \textit{D. Liu}, SIAM J. Sci. Comput. 42, No. 3, B656--B674 (2020; Zbl 1448.65181) Full Text: DOI
Nayak, M. K.; Agbaje, T. M.; Mondal, S.; Sibanda, P.; Leach, P. G. L. Thermodynamic effect in Darcy-Forchheimer nanofluid flow of a single-wall carbon nanotube/multi-wall carbon nanotube suspension due to a stretching/shrinking rotating disk: Buongiorno two-phase model. (English) Zbl 1436.80002 J. Eng. Math. 120, 43-65 (2020). MSC: 80A21 76S05 76U05 82D80 80M22 PDFBibTeX XMLCite \textit{M. K. Nayak} et al., J. Eng. Math. 120, 43--65 (2020; Zbl 1436.80002) Full Text: DOI
Lee, Hyun Geun A new conservative Swift-Hohenberg equation and its mass conservative method. (English) Zbl 1439.35217 J. Comput. Appl. Math. 375, Article ID 112815, 10 p. (2020). MSC: 35K35 65M70 35J35 35K25 82C10 82M22 PDFBibTeX XMLCite \textit{H. G. Lee}, J. Comput. Appl. Math. 375, Article ID 112815, 10 p. (2020; Zbl 1439.35217) Full Text: DOI
Capilla, M. T.; Talavera, C. F.; Ginestar, D.; Verdú, G. Validation of the SHNC time-dependent transport code based on the spherical harmonics method for complex nuclear fuel assemblies. (English) Zbl 1436.82023 J. Comput. Appl. Math. 375, Article ID 112814, 21 p. (2020). MSC: 82C70 82D75 65M06 65N35 65M12 82M20 82M22 33C55 35Q20 PDFBibTeX XMLCite \textit{M. T. Capilla} et al., J. Comput. Appl. Math. 375, Article ID 112814, 21 p. (2020; Zbl 1436.82023) Full Text: DOI Link
Lee, Kiseok Chebyshev collocation method for the constant mobility Cahn-Hilliard equation in a square domain. (English) Zbl 1433.65242 Appl. Math. Comput. 370, Article ID 124931, 12 p. (2020). MSC: 65M70 35K35 35K55 82C26 65M12 65M15 PDFBibTeX XMLCite \textit{K. Lee}, Appl. Math. Comput. 370, Article ID 124931, 12 p. (2020; Zbl 1433.65242) Full Text: DOI
Singh, Harendra; Srivastava, H. M. Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients. (English) Zbl 07563443 Physica A 523, 1130-1149 (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{H. Singh} and \textit{H. M. Srivastava}, Physica A 523, 1130--1149 (2019; Zbl 07563443) Full Text: DOI
Arutyunyan, Rafael; Obukhov, Yuri; Vabishchevich, Petr Numerical simulation of charged fullerene spectrum. (English) Zbl 1469.92005 Math. Model. Anal. 24, No. 2, 263-275 (2019). MSC: 92-10 65L15 65L60 82D80 92E10 PDFBibTeX XMLCite \textit{R. Arutyunyan} et al., Math. Model. Anal. 24, No. 2, 263--275 (2019; Zbl 1469.92005) Full Text: DOI
Hosseini, Ehsan; Loghmani, Ghasem Barid; Heydari, Mohammad; Rashidi, Mohammad Mehdi A numerical simulation of MHD flow and radiation heat transfer of nanofluids through a porous medium with variable surface heat flux and chemical reaction. (English) Zbl 1462.65211 J. Math. Ext. 13, No. 2, 31-67 (2019). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N15 35G60 41A10 76S05 76W05 76V05 80A21 82D80 76T20 35Q35 PDFBibTeX XMLCite \textit{E. Hosseini} et al., J. Math. Ext. 13, No. 2, 31--67 (2019; Zbl 1462.65211) Full Text: Link
Wu, Lei A fast spectral method for the Uehling-Uhlenbeck equation for quantum gas mixtures: homogeneous relaxation and transport coefficients. (English) Zbl 1453.65368 J. Comput. Phys. 399, Article ID 108924, 18 p. (2019). MSC: 65M70 65Z05 81Q20 82M22 82D05 PDFBibTeX XMLCite \textit{L. Wu}, J. Comput. Phys. 399, Article ID 108924, 18 p. (2019; Zbl 1453.65368) Full Text: DOI Link
Eremin, Yu. A.; Sveshnikov, A. G. Discrete source method for the study of influence nonlocality on characteristics of the plasmonic nanolaser resonators. (English. Russian original) Zbl 1451.78035 Comput. Math. Math. Phys. 59, No. 12, 2164-2172 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 12, 2175-2184 (2019). MSC: 78A60 81V80 82D80 82D35 74F15 78M22 PDFBibTeX XMLCite \textit{Yu. A. Eremin} and \textit{A. G. Sveshnikov}, Comput. Math. Math. Phys. 59, No. 12, 2164--2172 (2019; Zbl 1451.78035); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 12, 2175--2184 (2019) Full Text: DOI
Cai, Jiaxiang; Chen, Juan; Yang, Bin Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system. (English) Zbl 1429.65237 Appl. Math. Comput. 357, 1-11 (2019). MSC: 65M70 65T60 82D10 65P10 PDFBibTeX XMLCite \textit{J. Cai} et al., Appl. Math. Comput. 357, 1--11 (2019; Zbl 1429.65237) Full Text: DOI
Zheng, Yunying; Zhao, Zhengang; Cui, Yanfen The discontinuous Galerkin finite element approximation of the multi-order fractional initial problems. (English) Zbl 1428.82081 Appl. Math. Comput. 348, 257-269 (2019). MSC: 82M10 65L60 82C70 PDFBibTeX XMLCite \textit{Y. Zheng} et al., Appl. Math. Comput. 348, 257--269 (2019; Zbl 1428.82081) Full Text: DOI
Blokhin, Alexander; Semisalov, Boris A new approach to numerical simulation of charge transport in double gate-MOSFET. (English) Zbl 1429.65236 Appl. Math. Comput. 342, 206-223 (2019). MSC: 65M70 65M12 82D37 PDFBibTeX XMLCite \textit{A. Blokhin} and \textit{B. Semisalov}, Appl. Math. Comput. 342, 206--223 (2019; Zbl 1429.65236) Full Text: DOI
Xu, Xiang; Zhao, Yanxiang Energy stable semi-implicit schemes for Allen-Cahn-Ohta-Kawasaki model in binary system. (English) Zbl 1428.65015 J. Sci. Comput. 80, No. 3, 1656-1680 (2019). MSC: 65M06 65N35 65T50 82D60 35Q82 35B35 35R09 65M15 65N15 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Y. Zhao}, J. Sci. Comput. 80, No. 3, 1656--1680 (2019; Zbl 1428.65015) Full Text: DOI arXiv
Keßler, Torsten; Rjasanow, Sergej Fully conservative spectral Galerkin-Petrov method for the inhomogeneous Boltzmann equation. (English) Zbl 1421.82032 Kinet. Relat. Models 12, No. 3, 507-549 (2019). MSC: 82C80 82C40 65N35 33C45 35L04 65M08 PDFBibTeX XMLCite \textit{T. Keßler} and \textit{S. Rjasanow}, Kinet. Relat. Models 12, No. 3, 507--549 (2019; Zbl 1421.82032) Full Text: DOI
Chen, Zhenzhu; Xiong, Yunfeng; Shao, Sihong Numerical methods for the Wigner equation with unbounded potential. (English) Zbl 1417.81125 J. Sci. Comput. 79, No. 1, 345-368 (2019). MSC: 81Q05 65M70 81S30 45K05 82C10 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Sci. Comput. 79, No. 1, 345--368 (2019; Zbl 1417.81125) Full Text: DOI arXiv
Kitzler, Gerhard; Schöberl, Joachim A polynomial spectral method for the spatially homogeneous Boltzmann equation. (English) Zbl 1421.35238 SIAM J. Sci. Comput. 41, No. 1, B27-B49 (2019). Reviewer: Mária Lukáčová (Mainz) MSC: 35Q20 65M70 65M60 76P05 82C40 PDFBibTeX XMLCite \textit{G. Kitzler} and \textit{J. Schöberl}, SIAM J. Sci. Comput. 41, No. 1, B27--B49 (2019; Zbl 1421.35238) Full Text: DOI arXiv
Sriburadet, Sirilak; Jeng, B.-W.; Chien, C.-S. Efficient continuation methods for spin-1 Bose-Einstein condensates in a magnetic field. (English) Zbl 1499.65704 Int. J. Comput. Math. 95, No. 5, 898-919 (2018). MSC: 65N35 35P30 35Q55 82C10 82D40 PDFBibTeX XMLCite \textit{S. Sriburadet} et al., Int. J. Comput. Math. 95, No. 5, 898--919 (2018; Zbl 1499.65704) Full Text: DOI
Duan, Junming; Kuang, Yangyu; Tang, Huazhong Model reduction of a two-dimensional kinetic swarming model by operator projections. (English) Zbl 1467.82073 East Asian J. Appl. Math. 8, No. 1, 151-180 (2018). MSC: 82C40 35R09 35Q20 35Q82 92D50 82M20 82M22 PDFBibTeX XMLCite \textit{J. Duan} et al., East Asian J. Appl. Math. 8, No. 1, 151--180 (2018; Zbl 1467.82073) Full Text: DOI arXiv
Ma, Ying; Su, Chunmei A uniformly and optimally accurate multiscale time integrator method for the Klein-Gordon-Zakharov system in the subsonic limit regime. (English) Zbl 1419.65084 Comput. Math. Appl. 76, No. 3, 602-619 (2018). MSC: 65M70 65M06 65M12 65M15 35Q55 76G25 76L05 82D10 35Q82 35Q35 35Q60 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{C. Su}, Comput. Math. Appl. 76, No. 3, 602--619 (2018; Zbl 1419.65084) Full Text: DOI
Jiang, Wei; Li, Hui A space-time spectral collocation method for the two-dimensional variable-order fractional percolation equations. (English) Zbl 1419.65081 Comput. Math. Appl. 75, No. 10, 3508-3520 (2018). MSC: 65M70 65M15 82C43 35Q82 PDFBibTeX XMLCite \textit{W. Jiang} and \textit{H. Li}, Comput. Math. Appl. 75, No. 10, 3508--3520 (2018; Zbl 1419.65081) Full Text: DOI
Hu, Jingwei; Jin, Shi; Shu, Ruiwen A stochastic Galerkin method for the Fokker-Planck-Landau equation with random uncertainties. (English) Zbl 1412.65142 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 1-19 (2018). MSC: 65M60 35Q84 82C31 35Q20 65C30 65M70 65F20 65F50 65L06 35R60 PDFBibTeX XMLCite \textit{J. Hu} et al., Springer Proc. Math. Stat. 237, 1--19 (2018; Zbl 1412.65142) Full Text: DOI
Wang, Hanquan; Liang, Zhenguo; Liu, Ronghua A splitting Chebyshev collocation method for Schrödinger-Poisson system. (English) Zbl 1404.35423 Comput. Appl. Math. 37, No. 4, 5034-5057 (2018). MSC: 35Q55 65Z05 65N12 65N35 65M06 82D10 PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Appl. Math. 37, No. 4, 5034--5057 (2018; Zbl 1404.35423) Full Text: DOI
Chai, Guo; Wang, Tian-jun Mixed generalized Hermite-Fourier spectral method for Fokker-Planck equation of periodic field. (English) Zbl 1397.65200 Appl. Numer. Math. 133, 25-40 (2018). MSC: 65M70 35Q84 82C31 33C45 PDFBibTeX XMLCite \textit{G. Chai} and \textit{T.-j. Wang}, Appl. Numer. Math. 133, 25--40 (2018; Zbl 1397.65200) Full Text: DOI
Dong, Leiting; Wang, Junbo; Yan, Peng; Guo, Zaoyang A Trefftz collocation method for multiple interacting spherical nano-inclusions considering the interface stress effect. (English) Zbl 1403.74298 Eng. Anal. Bound. Elem. 94, 172-183 (2018). MSC: 74S30 65N35 74A10 74A50 82B24 PDFBibTeX XMLCite \textit{L. Dong} et al., Eng. Anal. Bound. Elem. 94, 172--183 (2018; Zbl 1403.74298) Full Text: DOI
Filbet, Francis; Shu, Chi-Wang Discontinuous Galerkin methods for a kinetic model of self-organized dynamics. (English) Zbl 1404.65168 Math. Models Methods Appl. Sci. 28, No. 6, 1171-1197 (2018). MSC: 65M60 35L60 35K55 82C05 82C22 82C70 92D50 35Q92 35Q83 65L06 92C15 65M12 65M15 65M70 PDFBibTeX XMLCite \textit{F. Filbet} and \textit{C.-W. Shu}, Math. Models Methods Appl. Sci. 28, No. 6, 1171--1197 (2018; Zbl 1404.65168) Full Text: DOI arXiv
Yang, Yin; Huang, Yunqing; Zhou, Yong Numerical solutions for solving time fractional Fokker-Planck equations based on spectral collocation methods. (English) Zbl 1393.65037 J. Comput. Appl. Math. 339, 389-404 (2018). MSC: 65M70 35R35 65M12 82C31 35Q84 35R11 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Comput. Appl. Math. 339, 389--404 (2018; Zbl 1393.65037) Full Text: DOI
Chen, H.-S.; Chang, S.-L.; Jeng, B.-W.; Chien, C.-S. Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation. (English) Zbl 1404.65191 Numer. Algorithms 77, No. 3, 709-726 (2018). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M70 65N25 65N30 65H17 35Q55 82D50 PDFBibTeX XMLCite \textit{H. S. Chen} et al., Numer. Algorithms 77, No. 3, 709--726 (2018; Zbl 1404.65191) Full Text: DOI
Jiang, Shidong; Wang, Dong; Wang, Xiao-Ping An efficient boundary integral scheme for the MBO threshold dynamics method via the NUFFT. (English) Zbl 1419.65080 J. Sci. Comput. 74, No. 1, 474-490 (2018). MSC: 65M70 35K05 82C24 PDFBibTeX XMLCite \textit{S. Jiang} et al., J. Sci. Comput. 74, No. 1, 474--490 (2018; Zbl 1419.65080) Full Text: DOI
Su, Chunmei Comparison of numerical methods for the Zakharov system in the subsonic limit regime. (English) Zbl 1432.76140 J. Comput. Appl. Math. 330, 441-455 (2018). MSC: 76G25 65M70 76X05 82D10 PDFBibTeX XMLCite \textit{C. Su}, J. Comput. Appl. Math. 330, 441--455 (2018; Zbl 1432.76140) Full Text: DOI
Burov, D. A.; Evstigneev, N. M.; Magnitskii, N. A. On the chaotic dynamics in two coupled partial differential equations for evolution of surface plasmon polaritons. (English) Zbl 1485.35354 Commun. Nonlinear Sci. Numer. Simul. 46, 26-36 (2017). MSC: 35Q82 82D10 65N35 65P20 65P30 PDFBibTeX XMLCite \textit{D. A. Burov} et al., Commun. Nonlinear Sci. Numer. Simul. 46, 26--36 (2017; Zbl 1485.35354) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. (English) Zbl 1403.74285 Eng. Anal. Bound. Elem. 78, 49-64 (2017). MSC: 74S25 65M70 74N05 82C26 82D25 82C80 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Eng. Anal. Bound. Elem. 78, 49--64 (2017; Zbl 1403.74285) Full Text: DOI
Wu, Xinming; Wen, Zaiwen; Bao, Weizhu A regularized Newton method for computing ground states of Bose-Einstein condensates. (English) Zbl 1433.82025 J. Sci. Comput. 73, No. 1, 303-329 (2017). MSC: 82M20 82M22 65N25 65N35 90C53 65K10 PDFBibTeX XMLCite \textit{X. Wu} et al., J. Sci. Comput. 73, No. 1, 303--329 (2017; Zbl 1433.82025) Full Text: DOI arXiv
Besse, C.; Dujardin, G.; Lacroix-Violet, I. High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates. (English) Zbl 1371.35235 SIAM J. Numer. Anal. 55, No. 3, 1387-1411 (2017). Reviewer: Eric Stachura (Haverford) MSC: 35Q41 81Q05 65M70 82D50 65L06 PDFBibTeX XMLCite \textit{C. Besse} et al., SIAM J. Numer. Anal. 55, No. 3, 1387--1411 (2017; Zbl 1371.35235) Full Text: DOI arXiv
Wang, Tian-Jun Composite generalized Laguerre spectral method for nonlinear Fokker-Planck equations on the whole line. (English) Zbl 1368.82023 Math. Methods Appl. Sci. 40, No. 5, 1462-1474 (2017). Reviewer: Trifce Sandev (Skopje) MSC: 82C31 65M70 41A30 35Q84 82-08 PDFBibTeX XMLCite \textit{T.-J. Wang}, Math. Methods Appl. Sci. 40, No. 5, 1462--1474 (2017; Zbl 1368.82023) Full Text: DOI
Jackson, S. J.; Stevens, D.; Giddings, D.; Power, Henry An adaptive RBF finite collocation approach to track transport processes across moving fronts. (English) Zbl 1443.65246 Comput. Math. Appl. 71, No. 1, 278-300 (2016). MSC: 65M70 82C70 PDFBibTeX XMLCite \textit{S. J. Jackson} et al., Comput. Math. Appl. 71, No. 1, 278--300 (2016; Zbl 1443.65246) Full Text: DOI
Zheng, Hui; Zhang, Chuanzeng; Wang, Yuesheng; Sladek, Jan; Sladek, Vladimir Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method. (English) Zbl 1403.65184 Eng. Anal. Bound. Elem. 66, 77-90 (2016). MSC: 65N35 74J15 82D25 PDFBibTeX XMLCite \textit{H. Zheng} et al., Eng. Anal. Bound. Elem. 66, 77--90 (2016; Zbl 1403.65184) Full Text: DOI
Chen, Yanping; Chen, Zheng; Cheng, Yingda; Gillman, Adrianna; Li, Fengyan Study of discrete scattering operators for some linear kinetic models. (English) Zbl 1386.82074 Brenner, Susanne C. (ed.), Topics in numerical partial differential equations and scientific computing. Based on the presentations at the 2nd IMA’s Women in Applied Mathematics, WhAM!, research collaboration workshop, Minneapolis, MN, USA, August 12–15, 2014. New York, NY: Springer (ISBN 978-1-4939-6398-0/hbk; 978-1-4939-6399-7/ebook). The IMA Volumes in Mathematics and its Applications 160, 99-136 (2016). MSC: 82D37 82C40 82-08 65M60 65M70 65M06 78A45 PDFBibTeX XMLCite \textit{Y. Chen} et al., IMA Vol. Math. Appl. 160, 99--136 (2016; Zbl 1386.82074) Full Text: DOI
Bao, Weizhu; Zhao, Xiaofei A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime. (English) Zbl 1373.82086 J. Comput. Phys. 327, 270-293 (2016). MSC: 82D10 65M70 35Q35 35Q60 PDFBibTeX XMLCite \textit{W. Bao} and \textit{X. Zhao}, J. Comput. Phys. 327, 270--293 (2016; Zbl 1373.82086) Full Text: DOI
Lee, Hyun Geun High-order and mass conservative methods for the conservative Allen-Cahn equation. (English) Zbl 1359.65216 Comput. Math. Appl. 72, No. 3, 620-631 (2016). MSC: 65M70 80A22 82C26 PDFBibTeX XMLCite \textit{H. G. Lee}, Comput. Math. Appl. 72, No. 3, 620--631 (2016; Zbl 1359.65216) Full Text: DOI
Chen, Jingrun; Liu, Jian-Guo; Zhou, Zhennan On a Schrödinger-Landau-Lifshitz system: variational structure and numerical methods. (English) Zbl 1352.65388 Multiscale Model. Simul. 14, No. 4, 1463-1487 (2016). MSC: 65M70 78A25 82C10 PDFBibTeX XMLCite \textit{J. Chen} et al., Multiscale Model. Simul. 14, No. 4, 1463--1487 (2016; Zbl 1352.65388) Full Text: DOI
Xiong, Yunfeng; Chen, Zhenzhu; Shao, Sihong An advective-spectral-mixed method for time-dependent many-body Wigner simulations. (English) Zbl 1382.65348 SIAM J. Sci. Comput. 38, No. 4, B491-B520 (2016). MSC: 65M70 45K05 81Q05 81S30 81V70 82C10 82C80 PDFBibTeX XMLCite \textit{Y. Xiong} et al., SIAM J. Sci. Comput. 38, No. 4, B491--B520 (2016; Zbl 1382.65348) Full Text: DOI arXiv
Lee, Hyun Geun; Lee, June-Yub A second order operator splitting method for Allen-Cahn type equations with nonlinear source terms. (English) Zbl 1400.82256 Physica A 432, 24-34 (2015). MSC: 82C80 65M70 35Q82 82D25 PDFBibTeX XMLCite \textit{H. G. Lee} and \textit{J.-Y. Lee}, Physica A 432, 24--34 (2015; Zbl 1400.82256) Full Text: DOI
Kosec, G.; Trobec, R. Simulation of semiconductor devices with a local numerical approach. (English) Zbl 1403.82015 Eng. Anal. Bound. Elem. 50, 69-75 (2015). MSC: 82C80 65N35 82D37 PDFBibTeX XMLCite \textit{G. Kosec} and \textit{R. Trobec}, Eng. Anal. Bound. Elem. 50, 69--75 (2015; Zbl 1403.82015) Full Text: DOI
Li, Wei; Luo, Li-Shi; Shen, Jie Accurate solution and approximations of the linearized BGK equation for steady Couette flow. (English) Zbl 1410.76412 Comput. Fluids 111, 18-32 (2015). MSC: 76P05 65R20 82C40 82C80 PDFBibTeX XMLCite \textit{W. Li} et al., Comput. Fluids 111, 18--32 (2015; Zbl 1410.76412) Full Text: DOI
Sun, Yifei; Kumar, Mrinal A numerical solver for high dimensional transient Fokker-Planck equation in modeling polymeric fluids. (English) Zbl 1351.82121 J. Comput. Phys. 289, 149-168 (2015). MSC: 82D60 82C80 65M70 82C31 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{M. Kumar}, J. Comput. Phys. 289, 149--168 (2015; Zbl 1351.82121) Full Text: DOI
Delzanno, G. L. Multi-dimensional, fully-implicit, spectral method for the Vlasov-Maxwell equations with exact conservation laws in discrete form. (English) Zbl 1349.76568 J. Comput. Phys. 301, 338-356 (2015). MSC: 76M22 65M70 76X05 82C80 82D10 PDFBibTeX XMLCite \textit{G. L. Delzanno}, J. Comput. Phys. 301, 338--356 (2015; Zbl 1349.76568) Full Text: DOI
Wu, Lei; Zhang, Jun; Reese, Jason M.; Zhang, Yonghao A fast spectral method for the Boltzmann equation for monatomic gas mixtures. (English) Zbl 1349.76575 J. Comput. Phys. 298, 602-621 (2015). MSC: 76M22 65M70 76P05 82D05 PDFBibTeX XMLCite \textit{L. Wu} et al., J. Comput. Phys. 298, 602--621 (2015; Zbl 1349.76575) Full Text: DOI Link
Gamba, Irene M.; Haack, Jeffrey R.; Motsch, Sebastien Spectral method for a kinetic swarming model. (English) Zbl 1349.76682 J. Comput. Phys. 297, 32-46 (2015). MSC: 76M28 78M12 65M70 76P05 82C22 PDFBibTeX XMLCite \textit{I. M. Gamba} et al., J. Comput. Phys. 297, 32--46 (2015; Zbl 1349.76682) Full Text: DOI
Winkel, Mathias; Speck, Robert; Ruprecht, Daniel A high-order boris integrator. (English) Zbl 1349.78119 J. Comput. Phys. 295, 456-474 (2015). MSC: 78M25 65L60 65L12 65L20 78A35 92C80 82D40 PDFBibTeX XMLCite \textit{M. Winkel} et al., J. Comput. Phys. 295, 456--474 (2015; Zbl 1349.78119) Full Text: DOI arXiv Link
Imazawa, Ryota; Kawano, Yasunori; Itami, Kiyoshi Meshless method for solving fixed boundary problem of plasma equilibrium. (English) Zbl 1349.76614 J. Comput. Phys. 292, 208-214 (2015). MSC: 76M25 65N35 76X05 82C80 82D10 PDFBibTeX XMLCite \textit{R. Imazawa} et al., J. Comput. Phys. 292, 208--214 (2015; Zbl 1349.76614) Full Text: DOI
Lu, Jianfeng; Mendl, Christian B. Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation. (English) Zbl 1349.82056 J. Comput. Phys. 291, 303-316 (2015). MSC: 82C40 76M28 65M70 PDFBibTeX XMLCite \textit{J. Lu} and \textit{C. B. Mendl}, J. Comput. Phys. 291, 303--316 (2015; Zbl 1349.82056) Full Text: DOI arXiv
Long, Lufan; Li, Xiao; Zhang, Hui The theoretical solution and numerical simulation of the linear part in one-dimension MBE equation. (Chinese. English summary) Zbl 1363.82008 J. Numer. Methods Comput. Appl. 36, No. 3, 225-240 (2015). MSC: 82D25 65N35 65N12 65Z05 PDFBibTeX XMLCite \textit{L. Long} et al., J. Numer. Methods Comput. Appl. 36, No. 3, 225--240 (2015; Zbl 1363.82008)
Antoine, Xavier; Duboscq, Romain Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. (English) Zbl 1344.35114 Besse, Christophe (ed.) et al., Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-319-19014-3/pbk; 978-3-319-19015-0/ebook). Lecture Notes in Mathematics 2146, 49-145 (2015). Reviewer: Georg Hebermehl (Berlin) MSC: 35Q40 35Q55 82B10 82B26 82-08 82-03 01A60 65M06 65M70 65T50 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{R. Duboscq}, Lect. Notes Math. 2146, 49--145 (2015; Zbl 1344.35114) Full Text: DOI HAL
Haroun, Nageeb A. H.; Sibanda, Precious; Mondal, Sabyasachi; Motsa, Sandile S.; Rashidi, Mohammad M. Heat and mass transfer of nanofluid through an impulsively vertical stretching surface using the spectral relaxation method. (English) Zbl 1342.35388 Bound. Value Probl. 2015, Paper No. 161, 16 p. (2015). MSC: 35Q79 76W05 82D80 80A20 80A32 76M22 80M22 PDFBibTeX XMLCite \textit{N. A. H. Haroun} et al., Bound. Value Probl. 2015, Paper No. 161, 16 p. (2015; Zbl 1342.35388) Full Text: DOI
Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. (English) Zbl 1318.35109 J. Nonlinear Sci. 25, No. 3, 709-739 (2015). MSC: 35Q55 65M70 82B10 82-08 PDFBibTeX XMLCite \textit{J. Sierra} et al., J. Nonlinear Sci. 25, No. 3, 709--739 (2015; Zbl 1318.35109) Full Text: DOI arXiv
Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo A novel high order space-time spectral method for the time fractional Fokker-Planck equation. (English) Zbl 1320.82052 SIAM J. Sci. Comput. 37, No. 2, A701-A724 (2015). MSC: 82C31 26A33 65M06 65N12 65M70 35R11 35Q84 PDFBibTeX XMLCite \textit{M. Zheng} et al., SIAM J. Sci. Comput. 37, No. 2, A701--A724 (2015; Zbl 1320.82052) Full Text: DOI Link
Patra, Amit K.; Gopalakrishnan, S.; Ganguli, Ranjan A spectral multiscale method for wave propagation analysis: atomistic-continuum coupled simulation. (English) Zbl 1423.82008 Comput. Methods Appl. Mech. Eng. 278, 744-764 (2014). MSC: 82B21 65N35 74A25 PDFBibTeX XMLCite \textit{A. K. Patra} et al., Comput. Methods Appl. Mech. Eng. 278, 744--764 (2014; Zbl 1423.82008) Full Text: DOI arXiv
Jeng, B.-W.; Chien, C.-S.; Chern, I.-L. Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. (English) Zbl 1349.81087 J. Comput. Phys. 256, 713-727 (2014). MSC: 81Q05 65M70 35Q55 82B10 PDFBibTeX XMLCite \textit{B. W. Jeng} et al., J. Comput. Phys. 256, 713--727 (2014; Zbl 1349.81087) Full Text: DOI
Temimi, H.; Kurkcu, H. An accurate asymptotic approximation and precise numerical solution of highly sensitive Troesch’s problem. (English) Zbl 1337.65093 Appl. Math. Comput. 235, 253-260 (2014). MSC: 65L10 65L60 82D10 PDFBibTeX XMLCite \textit{H. Temimi} and \textit{H. Kurkcu}, Appl. Math. Comput. 235, 253--260 (2014; Zbl 1337.65093) Full Text: DOI
Yao, Wenqi; Lu, Tiao Numerical comparison of three stochastic methods for nonlinear PN junction problems. (English) Zbl 1317.82057 Front. Math. China 9, No. 3, 659-698 (2014). Reviewer: Giovanni Mascali (Arcavacata di Rende) MSC: 82D37 60H35 65N30 65C05 PDFBibTeX XMLCite \textit{W. Yao} and \textit{T. Lu}, Front. Math. China 9, No. 3, 659--698 (2014; Zbl 1317.82057) Full Text: DOI
Bonnement, A.; Minjeaud, S.; Pasquetti, R. Towards a high order Fourier-SEM solver of fluid models in tokamaks. (English) Zbl 1331.76093 Azaïez, Mejdi (ed.) et al., Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-01600-9/hbk; 978-3-319-01601-6/ebook). Lecture Notes in Computational Science and Engineering 95, 169-178 (2014). MSC: 76M25 76M22 65M70 76X05 82D10 PDFBibTeX XMLCite \textit{A. Bonnement} et al., Lect. Notes Comput. Sci. Eng. 95, 169--178 (2014; Zbl 1331.76093) Full Text: DOI
Li, Si-Qi; Li, Xiang-Gui; Hua, Dong-Ying The numerical method for computing the ground state of the two-component dipolar Bose-Einstein condensate. (English) Zbl 1383.82006 Adv. Difference Equ. 2013, Paper No. 204, 8 p. (2013). MSC: 82-08 82C10 82C22 65M06 65N35 PDFBibTeX XMLCite \textit{S.-Q. Li} et al., Adv. Difference Equ. 2013, Paper No. 204, 8 p. (2013; Zbl 1383.82006) Full Text: DOI
Shih, Yin-Tzer; Tsai, Chih-Ching A two-parameter continuation algorithm using radial basis function collocation method for rotating Bose-Einstein condensates. (English) Zbl 1349.82119 J. Comput. Phys. 252, 37-51 (2013). MSC: 82C80 65M70 82B10 PDFBibTeX XMLCite \textit{Y.-T. Shih} and \textit{C.-C. Tsai}, J. Comput. Phys. 252, 37--51 (2013; Zbl 1349.82119) Full Text: DOI
Dehghan, Mehdi; Nikpour, Ahmad The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods. (English) Zbl 1344.82041 Comput. Phys. Commun. 184, No. 9, 2145-2158 (2013). MSC: 82C80 35Q82 65M70 35C08 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Nikpour}, Comput. Phys. Commun. 184, No. 9, 2145--2158 (2013; Zbl 1344.82041) Full Text: DOI