Bertoli, Guillaume; Besse, Christophe; Vilmart, Gilles Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions. (English) Zbl 1500.65059 Math. Comput. 90, No. 332, 2705-2729 (2021). Reviewer: Michael Plum (Karlsruhe) MSC: 65M60 65M06 65N30 65M12 65L04 65L06 PDFBibTeX XMLCite \textit{G. Bertoli} et al., Math. Comput. 90, No. 332, 2705--2729 (2021; Zbl 1500.65059) Full Text: DOI arXiv Link
Liu, Hailiang; Wen, Hairui Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations. (English) Zbl 1376.65122 Math. Comput. 87, No. 309, 123-148 (2018). MSC: 65M15 65M12 65M60 35K20 PDFBibTeX XMLCite \textit{H. Liu} and \textit{H. Wen}, Math. Comput. 87, No. 309, 123--148 (2018; Zbl 1376.65122) Full Text: DOI
Reddy, G. Murali Mohan; Sinha, Rajen K. On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic integro-differential equations. (English) Zbl 1347.65199 Math. Comput. 85, No. 301, 2365-2390 (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65R20 45K05 45A05 PDFBibTeX XMLCite \textit{G. M. M. Reddy} and \textit{R. K. Sinha}, Math. Comput. 85, No. 301, 2365--2390 (2016; Zbl 1347.65199) Full Text: DOI
Bao, Weizhu; Cai, Yongyong Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. (English) Zbl 1264.65146 Math. Comput. 82, No. 281, 99-128 (2013). Reviewer: Qin Mengzhao (Beijing) MSC: 65M15 65M12 65M06 65M22 81-08 35Q40 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Cai}, Math. Comput. 82, No. 281, 99--128 (2013; Zbl 1264.65146) Full Text: DOI
Condette, Nicolas; Melcher, Christof; Süli, Endre Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth. (English) Zbl 1209.65066 Math. Comput. 80, No. 273, 205-223 (2011). MSC: 65K10 49J20 49M25 82D40 82D60 PDFBibTeX XMLCite \textit{N. Condette} et al., Math. Comput. 80, No. 273, 205--223 (2011; Zbl 1209.65066) Full Text: DOI
He, Yinnian; Sun, Weiwei Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. (English) Zbl 1129.35004 Math. Comput. 76, No. 257, 115-136 (2007). Reviewer: Mária Lukáčová (Hamburg) MSC: 35A35 35Q30 65N15 65N30 76D06 PDFBibTeX XMLCite \textit{Y. He} and \textit{W. Sun}, Math. Comput. 76, No. 257, 115--136 (2007; Zbl 1129.35004) Full Text: DOI
Antoine, Xavier; Besse, Christophe; Mouysset, Vincent Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. (English) Zbl 1053.65072 Math. Comput. 73, No. 248, 1779-1799 (2004). Reviewer: K. T. S. Iyengar (Bangalore) MSC: 65M12 35Q40 65M06 81Q05 65M60 PDFBibTeX XMLCite \textit{X. Antoine} et al., Math. Comput. 73, No. 248, 1779--1799 (2004; Zbl 1053.65072) Full Text: DOI
Verfürth, R. A posteriori error estimates for nonlinear problems. \(L^r(0,T;L^\rho(\Omega))\)-error estimates for finite element discretizations of parabolic equations. (English) Zbl 0907.65090 Math. Comput. 67, No. 224, 1335-1360 (1998). Reviewer: V.V.Kobkov (Novosibirsk) MSC: 65M15 65J15 76D05 35K55 47J25 65M60 PDFBibTeX XMLCite \textit{R. Verfürth}, Math. Comput. 67, No. 224, 1335--1360 (1998; Zbl 0907.65090) Full Text: DOI
Crouzeix, M.; Larsson, S.; Thomée, V. Resolvent estimates for elliptic finite element operators in one dimension. (English) Zbl 0806.65096 Math. Comput. 63, No. 207, 121-140 (1994). Reviewer: H.Marcinkowska (Wrocław) MSC: 65M60 65M06 65M20 65M12 65M15 35K15 PDFBibTeX XMLCite \textit{M. Crouzeix} et al., Math. Comput. 63, No. 207, 121--140 (1994; Zbl 0806.65096) Full Text: DOI
Zhang, Nai-Ying On fully discrete Galerkin approximations for partial integro- differential equations of parabolic type. (English) Zbl 0795.65098 Math. Comput. 60, No. 201, 133-166 (1993). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{N.-Y. Zhang}, Math. Comput. 60, No. 201, 133--166 (1993; Zbl 0795.65098) Full Text: DOI
Aziz, A. K.; Monk, Peter Continuous finite elements in space and time for the heat equation. (English) Zbl 0673.65070 Math. Comput. 52, No. 186, 255-274 (1989). Reviewer: V.V.Kobkov MSC: 65N30 65N15 35K05 PDFBibTeX XMLCite \textit{A. K. Aziz} and \textit{P. Monk}, Math. Comput. 52, No. 186, 255--274 (1989; Zbl 0673.65070) Full Text: DOI
Sanz-Serna, J. M. Methods for the numerical solution of the nonlinear Schrödinger equation. (English) Zbl 0555.65061 Math. Comput. 43, 21-27 (1984). Reviewer: B.Burrows MSC: 65M60 65M12 35Q99 81Q05 PDFBibTeX XMLCite \textit{J. M. Sanz-Serna}, Math. Comput. 43, 21--27 (1984; Zbl 0555.65061) Full Text: DOI