Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. (English) Zbl 07754853 SIAM J. Numer. Anal. 61, No. 5, 2305-2326 (2023). MSC: 65M70 65M06 65N35 65D30 65D32 65M12 65M15 35K55 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 61, No. 5, 2305--2326 (2023; Zbl 07754853) Full Text: DOI
Kyza, Irene; Metcalfe, Stephen Pointwise a posteriori error bounds for blow-up in the semilinear heat equation. (English) Zbl 1473.65202 SIAM J. Numer. Anal. 58, No. 5, 2609-2631 (2020). Reviewer: Daniel Arndt (Oak Ridge) MSC: 65M60 65M06 65N30 65M15 35B44 35K05 35K55 35K58 PDFBibTeX XMLCite \textit{I. Kyza} and \textit{S. Metcalfe}, SIAM J. Numer. Anal. 58, No. 5, 2609--2631 (2020; Zbl 1473.65202) Full Text: DOI arXiv
Liao, Hong-lin; Tang, Tao; Zhou, Tao On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen-Cahn equation. (English) Zbl 1447.65083 SIAM J. Numer. Anal. 58, No. 4, 2294-2314 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M12 65L06 35K58 35B25 PDFBibTeX XMLCite \textit{H.-l. Liao} et al., SIAM J. Numer. Anal. 58, No. 4, 2294--2314 (2020; Zbl 1447.65083) Full Text: DOI arXiv
Kopteva, Natalia Error analysis for time-fractional semilinear parabolic equations using upper and lower solutions. (English) Zbl 1447.65082 SIAM J. Numer. Anal. 58, No. 4, 2212-2234 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M15 35K58 35R11 26A33 PDFBibTeX XMLCite \textit{N. Kopteva}, SIAM J. Numer. Anal. 58, No. 4, 2212--2234 (2020; Zbl 1447.65082) Full Text: DOI arXiv
Al-Maskari, Mariam; Karaa, Samir Numerical approximation of semilinear subdiffusion equations with nonsmooth initial data. (English) Zbl 1422.65246 SIAM J. Numer. Anal. 57, No. 3, 1524-1544 (2019). MSC: 65M60 65M12 65M15 65M06 35R11 35B65 35K58 PDFBibTeX XMLCite \textit{M. Al-Maskari} and \textit{S. Karaa}, SIAM J. Numer. Anal. 57, No. 3, 1524--1544 (2019; Zbl 1422.65246) Full Text: DOI
Mizuguchi, Makoto; Takayasu, Akitoshi; Kubo, Takayuki; Oishi, Shin’ichi A method of verified computations for solutions to semilinear parabolic equations using semigroup theory. (English) Zbl 1362.65106 SIAM J. Numer. Anal. 55, No. 2, 980-1001 (2017). MSC: 65M60 65M15 35K20 PDFBibTeX XMLCite \textit{M. Mizuguchi} et al., SIAM J. Numer. Anal. 55, No. 2, 980--1001 (2017; Zbl 1362.65106) Full Text: DOI Link
Qiao, Zhonghua; Tang, Tao; Xie, Hehu Error analysis of a mixed finite element method for the molecular beam epitaxy model. (English) Zbl 1327.35152 SIAM J. Numer. Anal. 53, No. 1, 184-205 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35K35 35K91 65M12 65M22 65N30 65M60 PDFBibTeX XMLCite \textit{Z. Qiao} et al., SIAM J. Numer. Anal. 53, No. 1, 184--205 (2015; Zbl 1327.35152) Full Text: DOI Link
Luan, Vu Thai; Ostermann, Alexander Exponential B-series: the stiff case. (English) Zbl 1285.65043 SIAM J. Numer. Anal. 51, No. 6, 3431-3445 (2013). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L04 65L05 65M12 34A34 65L06 65P10 37M15 35K58 PDFBibTeX XMLCite \textit{V. T. Luan} and \textit{A. Ostermann}, SIAM J. Numer. Anal. 51, No. 6, 3431--3445 (2013; Zbl 1285.65043) Full Text: DOI
Kopteva, Natalia; Linss, Torsten Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions. (English) Zbl 1281.65121 SIAM J. Numer. Anal. 51, No. 3, 1494-1524 (2013). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M15 65M60 35K58 65M20 35K57 35B25 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{T. Linss}, SIAM J. Numer. Anal. 51, No. 3, 1494--1524 (2013; Zbl 1281.65121) Full Text: DOI Link
Jentzen, Arnulf Higher order pathwise numerical approximations of SPDEs with additive noise. (English) Zbl 1228.65015 SIAM J. Numer. Anal. 49, No. 2, 642-667 (2011). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 65C30 60H15 35R60 35K58 65M12 PDFBibTeX XMLCite \textit{A. Jentzen}, SIAM J. Numer. Anal. 49, No. 2, 642--667 (2011; Zbl 1228.65015) Full Text: DOI
Kyza, Irene; Makridakis, Charalambos Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations. (English) Zbl 1227.65081 SIAM J. Numer. Anal. 49, No. 1, 405-426 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M06 35K58 35B44 PDFBibTeX XMLCite \textit{I. Kyza} and \textit{C. Makridakis}, SIAM J. Numer. Anal. 49, No. 1, 405--426 (2011; Zbl 1227.65081) Full Text: DOI Link
Gobet, Emmanuel; Labart, Céline Solving BSDE with adaptive control variate. (English) Zbl 1208.60055 SIAM J. Numer. Anal. 48, No. 1, 257-277 (2010). MSC: 60H10 60H35 65C05 65G99 PDFBibTeX XMLCite \textit{E. Gobet} and \textit{C. Labart}, SIAM J. Numer. Anal. 48, No. 1, 257--277 (2010; Zbl 1208.60055) Full Text: DOI HAL
Lasis, Andris; Süli, Endre \(hp\)-version discontinuous Galerkin finite element method for semilinear parabolic problems. (English) Zbl 1155.65073 SIAM J. Numer. Anal. 45, No. 4, 1544-1569 (2007). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M15 65M60 35K55 PDFBibTeX XMLCite \textit{A. Lasis} and \textit{E. Süli}, SIAM J. Numer. Anal. 45, No. 4, 1544--1569 (2007; Zbl 1155.65073) Full Text: DOI
Yan, Yubin Postprocessing the finite element method for semilinear parabolic problems. (English) Zbl 1129.65070 SIAM J. Numer. Anal. 44, No. 4, 1681-1702 (2006). Reviewer: Etienne Emmrich (Berlin) MSC: 65M60 65M12 35K55 PDFBibTeX XMLCite \textit{Y. Yan}, SIAM J. Numer. Anal. 44, No. 4, 1681--1702 (2006; Zbl 1129.65070) Full Text: DOI
Hochbruck, Marlis; Ostermann, Alexander Explicit exponential Runge-Kutta methods for semilinear parabolic problems. (English) Zbl 1093.65052 SIAM J. Numer. Anal. 43, No. 3, 1069-1090 (2005). MSC: 65J15 65M12 65L06 34G20 65L70 35K55 65M06 65M15 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{A. Ostermann}, SIAM J. Numer. Anal. 43, No. 3, 1069--1090 (2005; Zbl 1093.65052) Full Text: DOI Link
Majidi, Mohammad Least-squares Galerkin methods for parabolic problems. III: Semidiscrete case for semilinear problems. (English) Zbl 1084.65095 SIAM J. Numer. Anal. 42, No. 6, 2452-2475 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 65M15 65M20 35K55 65M50 PDFBibTeX XMLCite \textit{M. Majidi}, SIAM J. Numer. Anal. 42, No. 6, 2452--2475 (2005; Zbl 1084.65095) Full Text: DOI
Marion, Martine; Xu, Jinchao Error estimates on a new nonlinear Galerkin method based on two-grid finite elements. (English) Zbl 0853.65092 SIAM J. Numer. Anal. 32, No. 4, 1170-1184 (1995). Reviewer: Q.Duan (Mountain View) MSC: 65M15 35K55 65M55 65M60 PDFBibTeX XMLCite \textit{M. Marion} and \textit{J. Xu}, SIAM J. Numer. Anal. 32, No. 4, 1170--1184 (1995; Zbl 0853.65092) Full Text: DOI Link
Larsson, S.; Sanz-Serna, J.-M. The behavior of finite element solutions of semilinear parabolic problems near stationary points. (English) Zbl 0811.65072 SIAM J. Numer. Anal. 31, No. 4, 1000-1018 (1994). Reviewer: E.Schechter (Kaiserslautern) MSC: 65M15 65M60 35K55 PDFBibTeX XMLCite \textit{S. Larsson} and \textit{J. M. Sanz-Serna}, SIAM J. Numer. Anal. 31, No. 4, 1000--1018 (1994; Zbl 0811.65072) Full Text: DOI
Elliott, C. M.; Stuart, A. M. The global dynamics of discrete semilinear parabolic equations. (English) Zbl 0792.65066 SIAM J. Numer. Anal. 30, No. 6, 1622-1663 (1993). Reviewer: K.Najzar (Praha) MSC: 65M06 65M60 35K55 PDFBibTeX XMLCite \textit{C. M. Elliott} and \textit{A. M. Stuart}, SIAM J. Numer. Anal. 30, No. 6, 1622--1663 (1993; Zbl 0792.65066) Full Text: DOI Link
Keeling, Stephen L. On Lipschitz continuity of nonlinear differential operators. (English) Zbl 0704.65066 SIAM J. Numer. Anal. 27, No. 2, 385-393 (1990). Reviewer: J.Albrycht MSC: 65M12 65J15 35K55 47J25 PDFBibTeX XMLCite \textit{S. L. Keeling}, SIAM J. Numer. Anal. 27, No. 2, 385--393 (1990; Zbl 0704.65066) Full Text: DOI Link
Keeling, Stephen L. Galerkin/Runge-Kutta discretizations for semilinear parabolic equations. (English) Zbl 0697.65083 SIAM J. Numer. Anal. 27, No. 2, 394-418 (1990). Reviewer: J.Vaníček MSC: 65N30 65N15 35K60 PDFBibTeX XMLCite \textit{S. L. Keeling}, SIAM J. Numer. Anal. 27, No. 2, 394--418 (1990; Zbl 0697.65083) Full Text: DOI
Larsson, Stig The long-time behavior of finite-element approximations of solutions to semilinear parabolic problems. (English) Zbl 0677.65110 SIAM J. Numer. Anal. 26, No. 2, 348-365 (1989). Reviewer: Guo Boling MSC: 65N30 65N15 35K60 PDFBibTeX XMLCite \textit{S. Larsson}, SIAM J. Numer. Anal. 26, No. 2, 348--365 (1989; Zbl 0677.65110) Full Text: DOI
Harrell, E. M.; Layton, W. J. \(L^ 2\) estimates for Galerkin methods for semilinear elliptic equations. (English) Zbl 0626.65100 SIAM J. Numer. Anal. 24, 52-58 (1987). Reviewer: C.Kalik MSC: 65N15 65N30 35K65 PDFBibTeX XMLCite \textit{E. M. Harrell} and \textit{W. J. Layton}, SIAM J. Numer. Anal. 24, 52--58 (1987; Zbl 0626.65100) Full Text: DOI
Greenwell-Yanik, C. E.; Fairweather, G. Analyses of spline collocation methods for parabolic and hyperbolic problems in two space variables. (English) Zbl 0595.65122 SIAM J. Numer. Anal. 23, 282-296 (1986). Reviewer: Michael Sever (Jerusalem) MSC: 65N35 65N30 65N15 35K60 PDFBibTeX XMLCite \textit{C. E. Greenwell-Yanik} and \textit{G. Fairweather}, SIAM J. Numer. Anal. 23, 282--296 (1986; Zbl 0595.65122) Full Text: DOI