Shi, Dongyang; Zhang, Lingen Unconditional superconvergence analysis of modified finite difference streamlined diffusion method for nonlinear convection-dominated diffusion equation. (English) Zbl 07784328 Comput. Math. Appl. 153, 81-93 (2024). MSC: 65N30 65M15 65M60 65M06 65M12 PDFBibTeX XMLCite \textit{D. Shi} and \textit{L. Zhang}, Comput. Math. Appl. 153, 81--93 (2024; Zbl 07784328) Full Text: DOI
Liu, Wenkai; Liu, Yang; Li, Hong; Yang, Yining Multi-output physics-informed neural network for one- and two-dimensional nonlinear time distributed-order models. (English) Zbl 07798683 Netw. Heterog. Media 18, No. 4, 1899-1918 (2023). MSC: 65M70 65M60 65N35 68T07 35G25 26A33 35R11 PDFBibTeX XMLCite \textit{W. Liu} et al., Netw. Heterog. Media 18, No. 4, 1899--1918 (2023; Zbl 07798683) Full Text: DOI
Benkhaldoun, Fayssal; Bradji, Abdallah A new analysis for a super-convergence result in the divergence norm for lowest order Raviart-Thomas mixed finite elements combined with the Crank-Nicolson method applied to one dimensional parabolic equations. (English) Zbl 07781697 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 167-175 (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65M12 65M15 35K05 PDFBibTeX XMLCite \textit{F. Benkhaldoun} and \textit{A. Bradji}, Springer Proc. Math. Stat. 432, 167--175 (2023; Zbl 07781697) Full Text: DOI
Zhao, Wenju; Piao, Guang-Ri A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation. (English) Zbl 07781461 J. Inequal. Appl. 2023, Paper No. 104, 22 p. (2023). MSC: 65M06 65M12 65M60 76B15 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{G.-R. Piao}, J. Inequal. Appl. 2023, Paper No. 104, 22 p. (2023; Zbl 07781461) Full Text: DOI
Bai, Yanhong; Li, Yang; Feng, Minfu A new class of stabilized virtual element methods for the time-dependent Oseen equations. (English) Zbl 07731335 Comput. Math. Appl. 145, 303-317 (2023). MSC: 76M10 65N30 76D05 65N12 65M60 PDFBibTeX XMLCite \textit{Y. Bai} et al., Comput. Math. Appl. 145, 303--317 (2023; Zbl 07731335) Full Text: DOI
Kumar, Naresh; Singh, Jasbir; Jiwari, Ram Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes. (English) Zbl 07731326 Comput. Math. Appl. 145, 141-158 (2023). MSC: 65N30 76M10 65M60 65M12 65N15 PDFBibTeX XMLCite \textit{N. Kumar} et al., Comput. Math. Appl. 145, 141--158 (2023; Zbl 07731326) Full Text: DOI
Zhang, Xindan; Zhao, Jianping; Hou, Yanren A priori error estimates of Crank-Nicolson finite element method for parabolic optimal control problems. (English) Zbl 07731312 Comput. Math. Appl. 144, 274-289 (2023). MSC: 49M25 49J20 65M60 65K10 65N30 PDFBibTeX XMLCite \textit{X. Zhang} et al., Comput. Math. Appl. 144, 274--289 (2023; Zbl 07731312) Full Text: DOI
Liu, Mingru; Huang, Pengzhan; He, Yinnian A linearized Crank-Nicolson/leapfrog scheme for the Landau-Lifshitz equation. (English) Zbl 07731148 Rocky Mt. J. Math. 53, No. 3, 821-837 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 82D40 78A25 35Q60 PDFBibTeX XMLCite \textit{M. Liu} et al., Rocky Mt. J. Math. 53, No. 3, 821--837 (2023; Zbl 07731148) Full Text: DOI Link
Zou, Guang-an; Wang, Xuyang; Li, Jian An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. (English) Zbl 1518.35562 Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023). MSC: 35Q35 76A15 65M12 65M15 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{G.-a. Zou} et al., Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023; Zbl 1518.35562) Full Text: DOI
Li, Xiaowu; Tang, Yuelong A two-layer Crank-Nicolson linear finite element methods for second-order hyperbolic optimal control problems. (English) Zbl 1517.65087 Results Appl. Math. 18, Article ID 100365, 10 p. (2023). MSC: 65M60 65M06 65N30 49M25 49M41 35L10 35B45 93C20 PDFBibTeX XMLCite \textit{X. Li} and \textit{Y. Tang}, Results Appl. Math. 18, Article ID 100365, 10 p. (2023; Zbl 1517.65087) Full Text: DOI
Li, Huanrong; Yang, Rushuang Analysis of two spectral Galerkin approximation schemes for solving the perturbed FitzHugh-Nagumo neuron model. (English) Zbl 07703972 Comput. Math. Appl. 143, 1-9 (2023). MSC: 65M06 65M60 65M15 65M12 35Q35 PDFBibTeX XMLCite \textit{H. Li} and \textit{R. Yang}, Comput. Math. Appl. 143, 1--9 (2023; Zbl 07703972) Full Text: DOI
Qian, Lingzhi; Wu, Chunya; Cai, Huiping; Feng, Xinlong; Qiao, Yuanyang A fully-decoupled artificial compressible Crank-Nicolson-leapfrog time stepping scheme for the phase field model of two-phase incompressible flows. (English) Zbl 1516.65098 J. Sci. Comput. 94, No. 3, Paper No. 50, 21 p. (2023). MSC: 65M60 65M06 65N30 65N12 65M15 76T06 35Q35 PDFBibTeX XMLCite \textit{L. Qian} et al., J. Sci. Comput. 94, No. 3, Paper No. 50, 21 p. (2023; Zbl 1516.65098) Full Text: DOI
Shen, Xiaojuan; Huang, Yunqing; Dong, Xiaojing An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations. (English) Zbl 07692024 Comput. Math. Appl. 139, 184-208 (2023). MSC: 76W05 76M10 65N30 35Q30 76D05 PDFBibTeX XMLCite \textit{X. Shen} et al., Comput. Math. Appl. 139, 184--208 (2023; Zbl 07692024) Full Text: DOI
Poonepalle, Akshaya; Shi, Brent; Kang, Elly; Chin, Joseph; Singh, Mannan; Gupta, Prakhar; Malhotra, Riya; Kadiyala, Sanjana; Thadiparthi, Sirihansika; Kieu, Thinh; Kim, Yeeun Mixed finite element method based on the Crank-Nicolson scheme for Darcy flows in porous media. (English) Zbl 1508.76072 PUMP J. Undergrad. Res. 6, 40-58 (2023). MSC: 76M10 65M60 65M12 76S05 PDFBibTeX XMLCite \textit{A. Poonepalle} et al., PUMP J. Undergrad. Res. 6, 40--58 (2023; Zbl 1508.76072) Full Text: Link
Lubo, Gemeda Tolessa; Duressa, Gemechis File Linear B-spline finite element method for solving delay reaction diffusion equation. (English) Zbl 1524.65576 Comput. Methods Differ. Equ. 11, No. 1, 161-174 (2023). MSC: 65M60 35K20 35R10 65D07 65M12 PDFBibTeX XMLCite \textit{G. T. Lubo} and \textit{G. F. Duressa}, Comput. Methods Differ. Equ. 11, No. 1, 161--174 (2023; Zbl 1524.65576) Full Text: DOI
Benkhaldoun, Fayssal; Bradji, Abdallah Novel analysis approach for the convergence of a second order time accurate mixed finite element scheme for parabolic equations. (English) Zbl 07654108 Comput. Math. Appl. 133, 85-103 (2023). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{F. Benkhaldoun} and \textit{A. Bradji}, Comput. Math. Appl. 133, 85--103 (2023; Zbl 07654108) Full Text: DOI
Baamonde-Seoane, María A.; Calvo-Garrido, María del Carmen; Vázquez, Carlos Model and numerical methods for pricing renewable energy certificate derivatives. (English) Zbl 1507.91216 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107066, 27 p. (2023). MSC: 91G20 91G60 65M60 PDFBibTeX XMLCite \textit{M. A. Baamonde-Seoane} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107066, 27 p. (2023; Zbl 1507.91216) Full Text: DOI
Baamonde-Seoane, María A.; Calvo-Garrido, María-del-Carmen; Vázquez, Carlos Pricing renewable energy certificates with a Crank-Nicolson Lagrange-Galerkin numerical method. (English) Zbl 1503.65218 J. Comput. Appl. Math. 422, Article ID 114891, 14 p. (2023). MSC: 65M60 65M06 65N30 60G15 91B24 35Q91 PDFBibTeX XMLCite \textit{M. A. Baamonde-Seoane} et al., J. Comput. Appl. Math. 422, Article ID 114891, 14 p. (2023; Zbl 1503.65218) Full Text: DOI
He, Mingyan; Tian, Jia; Sun, Pengtao; Zhang, Zhengfang An energy-conserving finite element method for nonlinear fourth-order wave equations. (English) Zbl 1498.65158 Appl. Numer. Math. 183, 333-354 (2023). MSC: 65M60 65M06 65N30 65M12 35G20 PDFBibTeX XMLCite \textit{M. He} et al., Appl. Numer. Math. 183, 333--354 (2023; Zbl 1498.65158) Full Text: DOI
Yuksel, Gamze; Eroglu, Simge K. Numerical analysis of Crank-Nicolson method for simplified magnetohydrodynamics with linear time relaxation. (English) Zbl 07778294 Numer. Methods Partial Differ. Equations 38, No. 5, 1232-1254 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{G. Yuksel} and \textit{S. K. Eroglu}, Numer. Methods Partial Differ. Equations 38, No. 5, 1232--1254 (2022; Zbl 07778294) Full Text: DOI
Joresse, Yapi S. A.; Jean-Marc, Bomisso G.; Gozo, Yoro; Augustin, Touré K. A dissipative numerical method for hybrid system with variable coefficients. (English) Zbl 07727261 Int. J. Numer. Methods Appl. 22, 41-65 (2022). MSC: 65-XX 35B35 37N30 74S05 65N30 35L20 PDFBibTeX XMLCite \textit{Y. S. A. Joresse} et al., Int. J. Numer. Methods Appl. 22, 41--65 (2022; Zbl 07727261) Full Text: DOI
Li, Yaping; Zhao, Weidong; Zhao, Wenju Optimal convergence of the scalar auxiliary variable finite element method for the natural convection equations. (English) Zbl 1497.35382 J. Sci. Comput. 93, No. 2, Paper No. 39, 36 p. (2022). MSC: 35Q35 65M60 65M06 65N30 65M12 65M15 76R10 35K05 35A24 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Sci. Comput. 93, No. 2, Paper No. 39, 36 p. (2022; Zbl 1497.35382) Full Text: DOI
Rong, Y.; Fiordilino, J. A.; Shi, F.; Cao, Y. A modular Voigt regularization of the Crank-Nicolson finite element method for the Navier-Stokes equations. (English) Zbl 1492.65273 J. Sci. Comput. 92, No. 3, Paper No. 101, 35 p. (2022). MSC: 65M60 65M12 76D05 PDFBibTeX XMLCite \textit{Y. Rong} et al., J. Sci. Comput. 92, No. 3, Paper No. 101, 35 p. (2022; Zbl 1492.65273) Full Text: DOI
Zeng, Yihui; Luo, Zhendong The Crank-Nicolson mixed finite element method for the improved system of time-domain Maxwell’s equations. (English) Zbl 1510.78059 Appl. Math. Comput. 433, Article ID 127422, 18 p. (2022). MSC: 78M10 78M20 65N35 35Q61 65N12 65N15 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Z. Luo}, Appl. Math. Comput. 433, Article ID 127422, 18 p. (2022; Zbl 1510.78059) Full Text: DOI
Hou, Tianliang; Jiang, Wenzhu; Chen, Luoping Two-grid scheme of expanded mixed finite element method for semilinear parabolic integro-differential equations. (English) Zbl 1490.65274 Appl. Anal. 101, No. 8, 3017-3038 (2022). MSC: 65N30 65N55 65N15 PDFBibTeX XMLCite \textit{T. Hou} et al., Appl. Anal. 101, No. 8, 3017--3038 (2022; Zbl 1490.65274) Full Text: DOI
Jang, Yongseok; Shaw, Simon Finite element approximation and analysis of a viscoelastic scalar wave equation with internal variable formulations. (English) Zbl 1489.74056 J. Comput. Appl. Math. 412, Article ID 114340, 16 p. (2022). MSC: 74S05 74S20 74J05 74D05 65M15 65M12 PDFBibTeX XMLCite \textit{Y. Jang} and \textit{S. Shaw}, J. Comput. Appl. Math. 412, Article ID 114340, 16 p. (2022; Zbl 1489.74056) Full Text: DOI arXiv
Alcântara, Adriano A.; Carmo, Bruno A.; Clark, Haroldo R.; Guardia, Ronald R.; Rincon, Mauro A. Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation. (English) Zbl 1499.35378 Comput. Appl. Math. 41, No. 4, Paper No. 141, 21 p. (2022). MSC: 35L20 65M60 65M06 PDFBibTeX XMLCite \textit{A. A. Alcântara} et al., Comput. Appl. Math. 41, No. 4, Paper No. 141, 21 p. (2022; Zbl 1499.35378) Full Text: DOI
Liu, Wenjie; Wu, Boying Unconditional stability and optimal error estimates of a Crank-Nicolson Legendre-Galerkin method for the two-dimensional second-order wave equation. (English) Zbl 07512658 Numer. Algorithms 90, No. 1, 137-158 (2022). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{W. Liu} and \textit{B. Wu}, Numer. Algorithms 90, No. 1, 137--158 (2022; Zbl 07512658) Full Text: DOI
Benkhaldoun, Fayssal; Bradji, Abdallah A new error estimate for a primal-dual Crank-Nicolson mixed finite element using lowest degree Raviart-Thomas spaces for parabolic equations. (English) Zbl 1489.65137 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 489-497 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M15 65M12 35K05 PDFBibTeX XMLCite \textit{F. Benkhaldoun} and \textit{A. Bradji}, Lect. Notes Comput. Sci. 13127, 489--497 (2022; Zbl 1489.65137) Full Text: DOI
Ngondiep, Eric Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model. (English) Zbl 1492.76081 J. Comput. Appl. Math. 409, Article ID 114148, 16 p. (2022). MSC: 76M10 76S05 76D07 65N30 76D05 PDFBibTeX XMLCite \textit{E. Ngondiep}, J. Comput. Appl. Math. 409, Article ID 114148, 16 p. (2022; Zbl 1492.76081) Full Text: DOI
Fu, Yaoyao; Cao, Liqun The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge. (English) Zbl 1482.78011 J. Comput. Appl. Math. 407, Article ID 114007, 20 p. (2022). MSC: 78M10 78M20 65N30 65M60 65M06 65M15 82D55 82D80 35Q60 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{L. Cao}, J. Comput. Appl. Math. 407, Article ID 114007, 20 p. (2022; Zbl 1482.78011) Full Text: DOI
Almeida, Rui M. P.; Chihaluca, Teófilo D.; Duque, José C. M. Approach to the Delta Greek of nonlinear Black-Scholes equation governing European options. (English) Zbl 1471.91614 J. Comput. Appl. Math. 402, Article ID 113790, 17 p. (2022). MSC: 91G60 65M60 91G20 35K65 PDFBibTeX XMLCite \textit{R. M. P. Almeida} et al., J. Comput. Appl. Math. 402, Article ID 113790, 17 p. (2022; Zbl 1471.91614) Full Text: DOI
Ma, Huimin; Huang, Pengzhan Energy-conserving schemes for the time-dependent incompressible magnetohydrodynamics flows. (English) Zbl 1513.65374 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 83, No. 2, 137-150 (2021). MSC: 65M60 65M06 65N30 65M12 76W05 35Q35 PDFBibTeX XMLCite \textit{H. Ma} and \textit{P. Huang}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 83, No. 2, 137--150 (2021; Zbl 1513.65374)
Černá, Dana Wavelet method for option pricing under the two-asset Merton jump-diffusion model. (English) Zbl 1488.91157 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21–26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 30-39 (2021). Reviewer: Karel Segeth (Praha) MSC: 91G60 65M60 65T60 65F55 91G20 60G51 PDFBibTeX XMLCite \textit{D. Černá}, in: Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21--26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 30--39 (2021; Zbl 1488.91157) Full Text: DOI
Alcântara, Adriano A.; Carmo, Bruno A.; Clark, Haroldo R.; Guardia, Ronald R.; Rincon, Mauro A. On a nonlinear problem with Dirichlet and acoustic boundary conditions. (English) Zbl 1510.35174 Appl. Math. Comput. 411, Article ID 126514, 19 p. (2021). MSC: 35L20 65M06 65M60 PDFBibTeX XMLCite \textit{A. A. Alcântara} et al., Appl. Math. Comput. 411, Article ID 126514, 19 p. (2021; Zbl 1510.35174) Full Text: DOI
Li, Meng; Zhao, Jikun; Wang, Nan; Chen, Shaochun Conforming and nonconforming conservative virtual element methods for nonlinear Schrödinger equation: a unified framework. (English) Zbl 1506.65156 Comput. Methods Appl. Mech. Eng. 380, Article ID 113793, 27 p. (2021). MSC: 65M60 35Q55 65M12 PDFBibTeX XMLCite \textit{M. Li} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113793, 27 p. (2021; Zbl 1506.65156) Full Text: DOI
Hào, Dinh Nho; Quyen, Tran Nhan Tam; Son, Nguyen Thanh Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations. (English) Zbl 1510.65228 Appl. Math. Optim. 84, No. 2, 2289-2325 (2021). MSC: 65M32 65M30 65M60 65M06 65N30 65M12 65J20 65J22 35R25 35R30 PDFBibTeX XMLCite \textit{D. N. Hào} et al., Appl. Math. Optim. 84, No. 2, 2289--2325 (2021; Zbl 1510.65228) Full Text: DOI arXiv
Wen, Cao; Liu, Yang; Yin, Baoli; Li, Hong; Wang, Jinfeng Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model. (English) Zbl 1483.65161 Numer. Algorithms 88, No. 2, 523-553 (2021). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65M60 35R11 65M12 65M15 65M55 PDFBibTeX XMLCite \textit{C. Wen} et al., Numer. Algorithms 88, No. 2, 523--553 (2021; Zbl 1483.65161) Full Text: DOI
Li, Buyang; Ma, Shu; Wang, Na Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(H^1\) initial data. (English) Zbl 1491.65097 J. Sci. Comput. 88, No. 3, Paper No. 70, 20 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76M10 76M20 35Q30 PDFBibTeX XMLCite \textit{B. Li} et al., J. Sci. Comput. 88, No. 3, Paper No. 70, 20 p. (2021; Zbl 1491.65097) Full Text: DOI
Zhang, Lei; Yang, Rui; Zhang, Li; Wang, Lisha A conservative Crank-Nicolson Fourier spectral method for the space fractional Schrödinger equation with wave operators. (English) Zbl 1498.65180 J. Funct. Spaces 2021, Article ID 5137845, 10 p. (2021). MSC: 65M70 65M06 65N35 65M60 65N30 26A33 35R11 35Q55 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Funct. Spaces 2021, Article ID 5137845, 10 p. (2021; Zbl 1498.65180) Full Text: DOI
Qi, Wenya; Seshaiyer, Padmanabhan; Wang, Junping A four-field mixed finite element method for Biot’s consolidation problems. (English) Zbl 1476.65251 Electron. Res. Arch. 29, No. 3, 2517-2532 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65M15 65N15 65N12 76S05 35M30 PDFBibTeX XMLCite \textit{W. Qi} et al., Electron. Res. Arch. 29, No. 3, 2517--2532 (2021; Zbl 1476.65251) Full Text: DOI
Han, Hao; Zhang, Chengjian Galerkin finite element methods solving 2D initial-boundary value problems of neutral delay-reaction-diffusion equations. (English) Zbl 1524.65540 Comput. Math. Appl. 92, 159-171 (2021). MSC: 65M60 65M12 65M06 35R10 35K20 35R07 65N30 74D05 PDFBibTeX XMLCite \textit{H. Han} and \textit{C. Zhang}, Comput. Math. Appl. 92, 159--171 (2021; Zbl 1524.65540) Full Text: DOI
Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Tang, Yifa A superconvergent nonconforming mixed FEM for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficients. (English) Zbl 1468.65140 East Asian J. Appl. Math. 11, No. 1, 63-92 (2021). MSC: 65M60 65M06 65N30 65M12 35R11 PDFBibTeX XMLCite \textit{H. Fan} et al., East Asian J. Appl. Math. 11, No. 1, 63--92 (2021; Zbl 1468.65140) Full Text: DOI
Wang, Jilu; Wang, Jungang; Yin, Lihong A single-step correction scheme of Crank-Nicolson convolution quadrature for the subdiffusion equation. (English) Zbl 1466.65149 J. Sci. Comput. 87, No. 1, Paper No. 26, 18 p. (2021). MSC: 65M60 65M06 65N30 65M15 65D30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Sci. Comput. 87, No. 1, Paper No. 26, 18 p. (2021; Zbl 1466.65149) Full Text: DOI
Li, Huanrong; Song, Zhengyuan; Hu, Junzhao Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow. (English) Zbl 1524.65565 Comput. Math. Appl. 86, 49-62 (2021). MSC: 65M60 65M15 65M12 35Q35 65M06 35B25 65N30 74N05 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Math. Appl. 86, 49--62 (2021; Zbl 1524.65565) Full Text: DOI
Gao, Xinghua; Yin, Baoli; Li, Hong; Liu, Yang TT-M FE method for a 2D nonlinear time distributed-order and space fractional diffusion equation. (English) Zbl 1524.65532 Math. Comput. Simul. 181, 117-137 (2021). MSC: 65M60 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{X. Gao} et al., Math. Comput. Simul. 181, 117--137 (2021; Zbl 1524.65532) Full Text: DOI
Karakoc, Seydi Battal Gazi; Omrani, Khaled; Sucu, Derya Numerical investigations of shallow water waves via generalized equal width (GEW) equation. (English) Zbl 1460.65123 Appl. Numer. Math. 162, 249-264 (2021). MSC: 65M60 35Q35 65M06 65D07 PDFBibTeX XMLCite \textit{S. B. G. Karakoc} et al., Appl. Numer. Math. 162, 249--264 (2021; Zbl 1460.65123) Full Text: DOI
Zaky, Mahmoud A.; Hendy, Ahmed S. An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe. (English) Zbl 1458.35411 Appl. Numer. Math. 160, 281-295 (2021). MSC: 35Q75 83C10 83C15 83C40 65M06 65M70 65N30 65M12 65M15 42C10 65P10 PDFBibTeX XMLCite \textit{M. A. Zaky} and \textit{A. S. Hendy}, Appl. Numer. Math. 160, 281--295 (2021; Zbl 1458.35411) Full Text: DOI
Wang, Liupeng; Huang, Yunqing Error estimates for second-order SAV finite element method to phase field crystal model. (English) Zbl 1456.65126 Electron. Res. Arch. 29, No. 1, 1735-1752 (2021). MSC: 65M60 65M06 65M12 35R09 45K05 74E15 74N05 35Q74 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Y. Huang}, Electron. Res. Arch. 29, No. 1, 1735--1752 (2021; Zbl 1456.65126) Full Text: DOI
Teng, Fei; Luo, Zhendong A reduced-order extrapolated approach to solution coefficient vectors in the Crank-Nicolson finite element method for the uniform transmission line equation. (English) Zbl 1452.65250 J. Math. Anal. Appl. 493, No. 1, Article ID 124511, 13 p. (2021). MSC: 65M60 65M06 65M99 65M12 65M15 35Q60 PDFBibTeX XMLCite \textit{F. Teng} and \textit{Z. Luo}, J. Math. Anal. Appl. 493, No. 1, Article ID 124511, 13 p. (2021; Zbl 1452.65250) Full Text: DOI
Ren, Hulin; Fan, Yiting; Luo, Zhendong The Crank-Nicolson finite element method for the 2D uniform transmission line equation. (English) Zbl 1503.65183 J. Inequal. Appl. 2020, Paper No. 105, 10 p. (2020). MSC: 65M06 65M12 65M60 65M70 35L20 PDFBibTeX XMLCite \textit{H. Ren} et al., J. Inequal. Appl. 2020, Paper No. 105, 10 p. (2020; Zbl 1503.65183) Full Text: DOI
Ma, Chupeng; Huang, Jizu; Cao, Liqun; Lin, Yanping Multiscale computations for the Maxwell-Schrödinger system in heterogeneous nanostructures. (English) Zbl 1473.35470 Commun. Comput. Phys. 27, No. 5, 1443-1469 (2020). MSC: 35Q40 35Q60 65M60 PDFBibTeX XMLCite \textit{C. Ma} et al., Commun. Comput. Phys. 27, No. 5, 1443--1469 (2020; Zbl 1473.35470) Full Text: DOI
Kovács, Mihály; Lang, Annika; Petersson, Andreas Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise. (English) Zbl 1466.60130 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2199-2227 (2020). MSC: 60H15 65M12 60H35 65C30 65M60 60H07 PDFBibTeX XMLCite \textit{M. Kovács} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2199--2227 (2020; Zbl 1466.60130) Full Text: DOI arXiv
Tan, Zhijun; Li, Kang; Chen, Yanping Two-grid finite element methods of Crank-Nicolson Galerkin approximation for a nonlinear parabolic equation. (English) Zbl 1468.65131 East Asian J. Appl. Math. 10, No. 4, 800-817 (2020). MSC: 65M55 65M60 65M06 65N30 65N15 65M12 35K55 PDFBibTeX XMLCite \textit{Z. Tan} et al., East Asian J. Appl. Math. 10, No. 4, 800--817 (2020; Zbl 1468.65131) Full Text: DOI
Sutton, Oliver J. Long-time \(L^\infty (L^2)\) a posteriori error estimates for fully discrete parabolic problems. (English) Zbl 1466.65147 IMA J. Numer. Anal. 40, No. 1, 498-529 (2020). MSC: 65M60 65M06 65N30 65M15 PDFBibTeX XMLCite \textit{O. J. Sutton}, IMA J. Numer. Anal. 40, No. 1, 498--529 (2020; Zbl 1466.65147) Full Text: DOI arXiv
Deka, Bhupen; Roy, Papri; Kumar, Naresh Weak Galerkin finite element methods combined with Crank-Nicolson scheme for parabolic interface problems. (English) Zbl 1458.65124 J. Appl. Anal. Comput. 10, No. 4, 1433-1442 (2020). MSC: 65M60 65N30 65M06 65N15 35K10 PDFBibTeX XMLCite \textit{B. Deka} et al., J. Appl. Anal. Comput. 10, No. 4, 1433--1442 (2020; Zbl 1458.65124) Full Text: DOI
Wang, Jianyun; Jin, Jicheng; Tian, Zhikun Two-grid finite element method with Crank-Nicolson fully discrete scheme for the time-dependent Schrödinger equation. (English) Zbl 1463.65281 Numer. Math., Theory Methods Appl. 13, No. 2, 334-352 (2020). MSC: 65M55 65M60 65M15 65M12 65M06 65N30 35J05 PDFBibTeX XMLCite \textit{J. Wang} et al., Numer. Math., Theory Methods Appl. 13, No. 2, 334--352 (2020; Zbl 1463.65281) Full Text: DOI
Kumar, Lalit; Sista, Sivaji Ganesh; Sreenadh, Konijeti Finite element analysis of parabolic integro-differential equations of Kirchhoff type. (English) Zbl 1454.65167 Math. Methods Appl. Sci. 43, No. 15, 9129-9150 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65M06 65N12 65M12 65N15 65M15 35J35 35R09 45K05 PDFBibTeX XMLCite \textit{L. Kumar} et al., Math. Methods Appl. Sci. 43, No. 15, 9129--9150 (2020; Zbl 1454.65167) Full Text: DOI
Ravindran, S. S. Analysis of stabilized Crank-Nicolson time-stepping scheme for the evolutionary Peterlin viscoelastic model. (English) Zbl 1447.65089 Numer. Funct. Anal. Optim. 41, No. 13, 1611-1641 (2020). MSC: 65M60 65M06 65N30 76M10 65M12 65N15 76A10 PDFBibTeX XMLCite \textit{S. S. Ravindran}, Numer. Funct. Anal. Optim. 41, No. 13, 1611--1641 (2020; Zbl 1447.65089) Full Text: DOI
Belding, Jeffrey; Neda, Monika; Pahlevani, Fran Computational study of the time relaxation model with high order deconvolution operator. (English) Zbl 1447.35240 Results Appl. Math. 8, Article ID 100111, 15 p. (2020). MSC: 35Q30 76F65 76F40 76D05 76M10 76M20 76M30 65M60 65N30 65M06 35B65 PDFBibTeX XMLCite \textit{J. Belding} et al., Results Appl. Math. 8, Article ID 100111, 15 p. (2020; Zbl 1447.35240) Full Text: DOI
Wang, Wansheng; Yi, Lijun; Xiao, Aiguo A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay. (English) Zbl 1453.65346 J. Sci. Comput. 84, No. 1, Paper No. 13, 27 p. (2020). MSC: 65M60 65M06 65N30 65M15 65M50 65L03 65L70 65L20 35R07 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Sci. Comput. 84, No. 1, Paper No. 13, 27 p. (2020; Zbl 1453.65346) Full Text: DOI
Li, Meng; Huang, Chengming; Zhao, Yongliang Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. (English) Zbl 1442.65168 Numer. Algorithms 84, No. 3, 1081-1119 (2020). MSC: 65M06 65N30 65M12 65F10 65F08 65T50 15B05 26A33 35R11 35Q55 PDFBibTeX XMLCite \textit{M. Li} et al., Numer. Algorithms 84, No. 3, 1081--1119 (2020; Zbl 1442.65168) Full Text: DOI
Li, Meng; Shi, Dongyang; Wang, Junjun Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. (English) Zbl 1437.65197 Comput. Math. Appl. 79, No. 8, 2411-2425 (2020). MSC: 65N30 65M06 65M12 65M15 35Q56 PDFBibTeX XMLCite \textit{M. Li} et al., Comput. Math. Appl. 79, No. 8, 2411--2425 (2020; Zbl 1437.65197) Full Text: DOI arXiv
Cai, Wentao; Wang, Jilu; Wang, Kai Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media. (English) Zbl 1434.76063 J. Sci. Comput. 83, No. 2, Paper No. 25, 26 p. (2020). MSC: 76M10 76S05 65N30 35Q35 PDFBibTeX XMLCite \textit{W. Cai} et al., J. Sci. Comput. 83, No. 2, Paper No. 25, 26 p. (2020; Zbl 1434.76063) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. (English) Zbl 1437.65174 Appl. Numer. Math. 154, 172-186 (2020). MSC: 65N30 65N15 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 154, 172--186 (2020; Zbl 1437.65174) Full Text: DOI
Acharya, Sanjib Kumar; Porwal, Kamana Primal hybrid finite element method for fourth order parabolic problems. (English) Zbl 1434.65171 Appl. Numer. Math. 152, 12-28 (2020). MSC: 65M60 65M20 65M06 35K20 65M15 65N30 35K25 PDFBibTeX XMLCite \textit{S. K. Acharya} and \textit{K. Porwal}, Appl. Numer. Math. 152, 12--28 (2020; Zbl 1434.65171) Full Text: DOI
Lu, Xiaoli; Huang, Pengzhan Unconditional stability of a fully discrete scheme for the Kelvin-Voigt model. (English) Zbl 1513.65373 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 81, No. 1, 137-142 (2019). MSC: 65M60 65M06 65N30 65M12 76A10 35Q35 PDFBibTeX XMLCite \textit{X. Lu} and \textit{P. Huang}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 81, No. 1, 137--142 (2019; Zbl 1513.65373)
Zhang, Hui; Jiang, Xiaoyun; Wang, Chu; Chen, Shanzhen Crank-Nicolson Fourier spectral methods for the space fractional nonlinear Schrödinger equation and its parameter estimation. (English) Zbl 1513.65322 Int. J. Comput. Math. 96, No. 2, 238-263 (2019). MSC: 65M06 26A33 65M12 65M15 65M70 65T50 65N30 65N15 35Q55 35R11 PDFBibTeX XMLCite \textit{H. Zhang} et al., Int. J. Comput. Math. 96, No. 2, 238--263 (2019; Zbl 1513.65322) Full Text: DOI
Zhang, Tong; Jin, JiaoJiao Decoupled Crank-Nicolson/Adams-Bashforth scheme for the Boussinesq equations with smooth initial data. (English) Zbl 1499.65548 Int. J. Comput. Math. 96, No. 3, 594-621 (2019). MSC: 65M60 65M06 65L06 65N30 65M12 65M15 76D05 76D07 76M10 35Q30 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{J. Jin}, Int. J. Comput. Math. 96, No. 3, 594--621 (2019; Zbl 1499.65548) Full Text: DOI
Wang, Ying; Mei, Liquan A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations. (English) Zbl 1499.65442 Int. J. Comput. Math. 96, No. 12, 2387-2410 (2019). MSC: 65M06 65M12 65M15 65M70 65N35 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{L. Mei}, Int. J. Comput. Math. 96, No. 12, 2387--2410 (2019; Zbl 1499.65442) Full Text: DOI
Zhao, Yanmin; Wang, Fenling; Hu, Xiaohan; Shi, Zhengguang; Tang, Yifa Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain. (English) Zbl 1442.65286 Comput. Math. Appl. 78, No. 5, 1705-1719 (2019). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Comput. Math. Appl. 78, No. 5, 1705--1719 (2019; Zbl 1442.65286) Full Text: DOI
Zhu, Wanwan; Shen, Ruigang; Yang, Ying The optimal error estimate of finite element method with Crank-Nicolson scheme for Poisson-Nernst-Planck equations. (Chinese. English summary) Zbl 1449.65269 Numer. Math., Nanjing 41, No. 3, 265-276 (2019). MSC: 65M60 65N15 65N30 65M06 35Q60 35Q82 78A57 PDFBibTeX XMLCite \textit{W. Zhu} et al., Numer. Math., Nanjing 41, No. 3, 265--276 (2019; Zbl 1449.65269)
Fu, Yaoyao; Cao, Liqun The multiscale algorithms for the Maxwell-Dirac system in matrix form with quadratic correction. (Chinese. English summary) Zbl 1449.65178 Math. Numer. Sin. 41, No. 4, 419-439 (2019). MSC: 65M06 65M60 35C20 78M20 78M40 78M35 35Q41 35Q61 35R05 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{L. Cao}, Math. Numer. Sin. 41, No. 4, 419--439 (2019; Zbl 1449.65178)
Yadav, Om Prakash; Jiwari, Ram Some soliton-type analytical solutions and numerical simulation of nonlinear Schrödinger equation. (English) Zbl 1437.35643 Nonlinear Dyn. 95, No. 4, 2825-2836 (2019). MSC: 35Q55 35C08 65M60 PDFBibTeX XMLCite \textit{O. P. Yadav} and \textit{R. Jiwari}, Nonlinear Dyn. 95, No. 4, 2825--2836 (2019; Zbl 1437.35643) Full Text: DOI
Kumar, Dileep; Chaudhary, Sudhakar; Kumar, V. V. K. Srinivas Fractional Crank-Nicolson-Galerkin finite element scheme for the time-fractional nonlinear diffusion equation. (English) Zbl 1431.65133 Numer. Methods Partial Differ. Equations 35, No. 6, 2056-2075 (2019). MSC: 65M06 65N30 35R11 35A01 65M12 65M15 65H10 35A02 PDFBibTeX XMLCite \textit{D. Kumar} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2056--2075 (2019; Zbl 1431.65133) Full Text: DOI arXiv
Liang, Hongxia; Zhang, Tong Stability and convergence of two-grid Crank-Nicolson extrapolation scheme for the time-dependent natural convection equations. (English) Zbl 1434.65228 Math. Methods Appl. Sci. 42, No. 18, 6165-6191 (2019). MSC: 65N15 65N30 76D07 65M06 76R10 65L06 PDFBibTeX XMLCite \textit{H. Liang} and \textit{T. Zhang}, Math. Methods Appl. Sci. 42, No. 18, 6165--6191 (2019; Zbl 1434.65228) Full Text: DOI
Xue, Jufeng; Shang, Yueqiang A finite element variational multiscale method based on Crank-Nicolson scheme for the unsteady Navier-Stokes equations. (Chinese. English summary) Zbl 1449.65264 Chin. J. Eng. Math. 36, No. 4, 419-430 (2019). MSC: 65M60 65N30 65N55 76D05 65M06 76M10 76M20 35Q30 65M15 PDFBibTeX XMLCite \textit{J. Xue} and \textit{Y. Shang}, Chin. J. Eng. Math. 36, No. 4, 419--430 (2019; Zbl 1449.65264) Full Text: DOI
Kumar, Dileep; Chaudhary, Sudhakar; Kumar, V. V. K. Srinivas Galerkin finite element schemes with fractional Crank-Nicolson method for the coupled time-fractional nonlinear diffusion system. (English) Zbl 1438.65236 Comput. Appl. Math. 38, No. 3, Paper No. 123, 29 p. (2019). MSC: 65M60 65M12 65M06 26A33 35R11 65H10 65N30 PDFBibTeX XMLCite \textit{D. Kumar} et al., Comput. Appl. Math. 38, No. 3, Paper No. 123, 29 p. (2019; Zbl 1438.65236) Full Text: DOI
Yadav, Om Prakash; Jiwari, Ram A finite element approach for analysis and computational modelling of coupled reaction diffusion models. (English) Zbl 1418.65138 Numer. Methods Partial Differ. Equations 35, No. 2, 830-850 (2019). MSC: 65M60 65M06 35K52 65M15 65M12 PDFBibTeX XMLCite \textit{O. P. Yadav} and \textit{R. Jiwari}, Numer. Methods Partial Differ. Equations 35, No. 2, 830--850 (2019; Zbl 1418.65138) Full Text: DOI
Asadzadeh, M.; Standar, C. Approximating the nonlinear Schrödinger equation by a two level linearly implicit finite element method. (English. Russian original) Zbl 1422.65247 J. Math. Sci., New York 239, No. 3, 233-247 (2019); translation from Probl. Mat. Anal. 97, 3-14 (2019). MSC: 65M60 65M06 65N30 35Q41 PDFBibTeX XMLCite \textit{M. Asadzadeh} and \textit{C. Standar}, J. Math. Sci., New York 239, No. 3, 233--247 (2019; Zbl 1422.65247); translation from Probl. Mat. Anal. 97, 3--14 (2019) Full Text: DOI arXiv
Wang, Pengfei; Huang, Pengzhan Convergence of the Crank-Nicolson extrapolation scheme for the Korteweg-de Vries equation. (English) Zbl 1419.65074 Appl. Numer. Math. 143, 88-96 (2019). MSC: 65M60 65M06 65L06 35Q53 65M12 65M15 PDFBibTeX XMLCite \textit{P. Wang} and \textit{P. Huang}, Appl. Numer. Math. 143, 88--96 (2019; Zbl 1419.65074) Full Text: DOI
Chen, Chuanjun; Li, Kang; Chen, Yanping; Huang, Yunqing Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. (English) Zbl 1415.65223 Adv. Comput. Math. 45, No. 2, 611-630 (2019). MSC: 65M60 65M15 35K55 PDFBibTeX XMLCite \textit{C. Chen} et al., Adv. Comput. Math. 45, No. 2, 611--630 (2019; Zbl 1415.65223) Full Text: DOI
Reddy, G. Murali Mohan; Sinha, Rajen Kumar; Cuminato, José Alberto A posteriori error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations. (English) Zbl 1419.65069 J. Sci. Comput. 79, No. 1, 414-441 (2019). MSC: 65M60 65M06 65M15 35R09 35K10 45D05 45K05 65R20 PDFBibTeX XMLCite \textit{G. M. M. Reddy} et al., J. Sci. Comput. 79, No. 1, 414--441 (2019; Zbl 1419.65069) Full Text: DOI
Zhang, Jun; Lin, Shimin; Wang, Jinrong An efficient numerical approach to solve Schrödinger equations with space fractional derivative. (English) Zbl 1460.35310 Math. Methods Appl. Sci. 42, No. 5, 1596-1608 (2019). Reviewer: Catalin Popa (Iaşi) MSC: 35Q41 35R11 65M15 65M06 65T50 65N30 PDFBibTeX XMLCite \textit{J. Zhang} et al., Math. Methods Appl. Sci. 42, No. 5, 1596--1608 (2019; Zbl 1460.35310) Full Text: DOI
Yadav, Om Prakash; Jiwari, Ram A finite element approach to capture Turing patterns of autocatalytic Brusselator model. (English) Zbl 1414.92241 J. Math. Chem. 57, No. 3, 769-789 (2019). MSC: 92E20 65L60 PDFBibTeX XMLCite \textit{O. P. Yadav} and \textit{R. Jiwari}, J. Math. Chem. 57, No. 3, 769--789 (2019; Zbl 1414.92241) Full Text: DOI
Xie, Shenglan; Zhu, Peng; Wang, Xiaoshen Error analysis of weak Galerkin finite element methods for time-dependent convection-diffusion equations. (English) Zbl 1407.65206 Appl. Numer. Math. 137, 19-33 (2019). MSC: 65M60 65M15 76M10 PDFBibTeX XMLCite \textit{S. Xie} et al., Appl. Numer. Math. 137, 19--33 (2019; Zbl 1407.65206) Full Text: DOI
Ghattassi, Mohamed; Roche, Jean Rodolphe; Schmitt, Didier Analysis of a full discretization scheme for \(2D\) radiative-conductive heat transfer systems. (English) Zbl 1462.65142 J. Comput. Appl. Math. 346, 1-17 (2019). MSC: 65M60 65M06 65M12 65M15 80A21 45K05 35R09 35A01 35A02 35Q79 PDFBibTeX XMLCite \textit{M. Ghattassi} et al., J. Comput. Appl. Math. 346, 1--17 (2019; Zbl 1462.65142) Full Text: DOI
Ngondiep, Eric Stability analysis of maccormack rapid solver method for evolutionary Stokes-Darcy problem. (English) Zbl 1397.76074 J. Comput. Appl. Math. 345, 269-285 (2019). MSC: 76M10 76M20 65N15 65N30 76D07 76S05 PDFBibTeX XMLCite \textit{E. Ngondiep}, J. Comput. Appl. Math. 345, 269--285 (2019; Zbl 1397.76074) Full Text: DOI
Dong, Xiaojing; He, Yinnian Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics. (English) Zbl 1442.65256 Comput. Math. Appl. 76, No. 11-12, 2678-2700 (2018). MSC: 65M60 65M12 65M15 76W05 78A25 PDFBibTeX XMLCite \textit{X. Dong} and \textit{Y. He}, Comput. Math. Appl. 76, No. 11--12, 2678--2700 (2018; Zbl 1442.65256) Full Text: DOI
Zhang, Tong; Jin, JiaoJiao; Jiang, Tao The decoupled Crank-Nicolson/Adams-Bashforth scheme for the Boussinesq equations with nonsmooth initial data. (English) Zbl 1427.76154 Appl. Math. Comput. 337, 234-266 (2018). MSC: 76M10 65M60 65M15 76D07 86A10 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Math. Comput. 337, 234--266 (2018; Zbl 1427.76154) Full Text: DOI
Gao, Yali; Mei, Liquan; Li, Rui Galerkin methods for the Davey-Stewartson equations. (English) Zbl 1427.65246 Appl. Math. Comput. 328, 144-161 (2018). MSC: 65M60 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{Y. Gao} et al., Appl. Math. Comput. 328, 144--161 (2018; Zbl 1427.65246) Full Text: DOI
Ma, Chupeng; Cao, Liqun; Lin, Yanping Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrödinger equations under the Lorentz gauge. (English) Zbl 1462.65151 IMA J. Numer. Anal. 38, No. 4, 2074-2104 (2018). MSC: 65M60 65M06 65N30 65M15 78A25 78A60 35Q60 35Q55 PDFBibTeX XMLCite \textit{C. Ma} et al., IMA J. Numer. Anal. 38, No. 4, 2074--2104 (2018; Zbl 1462.65151) Full Text: DOI arXiv
Jin, Bangti; Li, Buyang; Zhou, Zhi An analysis of the Crank-Nicolson method for subdiffusion. (English) Zbl 1497.65175 IMA J. Numer. Anal. 38, No. 1, 518-541 (2018). MSC: 65M60 65M06 65N30 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{B. Jin} et al., IMA J. Numer. Anal. 38, No. 1, 518--541 (2018; Zbl 1497.65175) Full Text: DOI arXiv
Wei, Ya-Bing; Zhao, Yan-Min; Shi, Zheng-Guang; Wang, Fen-Ling; Tang, Yi-Fa Spatial high accuracy analysis of FEM for two-dimensional multi-term time-fractional diffusion-wave equations. (English) Zbl 1404.65126 Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 828-841 (2018). MSC: 65M12 65M60 35R11 65M06 65M15 PDFBibTeX XMLCite \textit{Y.-B. Wei} et al., Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 828--841 (2018; Zbl 1404.65126) Full Text: DOI
Cao, Yue; Yin, Baoli; Liu, Yang; Li, Hong Crank-Nicolson WSGI difference scheme with finite element method for multi-dimensional time-fractional wave problem. (English) Zbl 1404.65161 Comput. Appl. Math. 37, No. 4, 5126-5145 (2018). MSC: 65M60 65N30 35R11 65N12 65N15 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Cao} et al., Comput. Appl. Math. 37, No. 4, 5126--5145 (2018; Zbl 1404.65161) Full Text: DOI
Egger, Herbert; Radu, Bogdan Super-convergence and post-processing for mixed finite element approximations of the wave equation. (English) Zbl 1404.65167 Numer. Math. 140, No. 2, 427-447 (2018). MSC: 65M60 35L05 35L50 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{H. Egger} and \textit{B. Radu}, Numer. Math. 140, No. 2, 427--447 (2018; Zbl 1404.65167) Full Text: DOI arXiv
Gao, Yali; Mei, Liquan Galerkin finite element methods for two-dimensional RLW and SRLW equations. (English) Zbl 1433.65210 Appl. Anal. 97, No. 13, 2288-2312 (2018). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65M60 65M12 35Q55 65M06 65M15 35C08 65L06 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{L. Mei}, Appl. Anal. 97, No. 13, 2288--2312 (2018; Zbl 1433.65210) Full Text: DOI
Zhang, Hui; Jiang, Xiaoyun; Wang, Chu; Fan, Wenping Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation. (English) Zbl 1397.65213 Numer. Algorithms 79, No. 1, 337-356 (2018). MSC: 65M70 35Q35 35R11 65M06 65M12 76R05 PDFBibTeX XMLCite \textit{H. Zhang} et al., Numer. Algorithms 79, No. 1, 337--356 (2018; Zbl 1397.65213) Full Text: DOI
Galtung, Sondre Tesdal A convergent Crank-Nicolson Galerkin scheme for the Benjamin-Ono equation. (English) Zbl 1397.35252 Discrete Contin. Dyn. Syst. 38, No. 3, 1243-1268 (2018). MSC: 35Q53 65M60 35Q51 65M12 35D30 PDFBibTeX XMLCite \textit{S. T. Galtung}, Discrete Contin. Dyn. Syst. 38, No. 3, 1243--1268 (2018; Zbl 1397.35252) Full Text: DOI arXiv
Li, Haochen; Mu, Zhenguo; Wang, Yushun An energy-preserving Crank-Nicolson Galerkin spectral element method for the two dimensional nonlinear Schrödinger equation. (English) Zbl 1457.65145 J. Comput. Appl. Math. 344, 245-258 (2018). MSC: 65M70 65M60 65N35 65N30 65M06 65M15 65M12 65T50 35Q55 PDFBibTeX XMLCite \textit{H. Li} et al., J. Comput. Appl. Math. 344, 245--258 (2018; Zbl 1457.65145) Full Text: DOI