Liu, Zhihui; Qiao, Zhonghua Strong approximation of monotone stochastic partial differential equations driven by white noise. (English) Zbl 1464.65148 IMA J. Numer. Anal. 40, No. 2, 1074-1093 (2020). MSC: 65M70 65M75 65M06 65N35 65M12 65M15 35B50 35B65 35K20 60H40 35R60 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Z. Qiao}, IMA J. Numer. Anal. 40, No. 2, 1074--1093 (2020; Zbl 1464.65148) Full Text: DOI arXiv
Karakatsani, Fotini A posteriori error estimates for fully discrete fractional-step \(\vartheta\)-approximations for parabolic equations. (English) Zbl 1433.65215 IMA J. Numer. Anal. 36, No. 3, 1334-1361 (2016). MSC: 65M60 65M15 35K20 PDFBibTeX XMLCite \textit{F. Karakatsani}, IMA J. Numer. Anal. 36, No. 3, 1334--1361 (2016; Zbl 1433.65215) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. (English) Zbl 1336.65150 IMA J. Numer. Anal. 36, No. 1, 197-221 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M12 65M60 35K20 35R11 PDFBibTeX XMLCite \textit{B. Jin} et al., IMA J. Numer. Anal. 36, No. 1, 197--221 (2016; Zbl 1336.65150) Full Text: DOI arXiv
Tobiska, L.; Verfürth, R. Robust a posteriori error estimates for stabilized finite element methods. (English) Zbl 1334.65186 IMA J. Numer. Anal. 35, No. 4, 1652-1671 (2015). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N15 65M15 65N30 65M60 35J25 35K20 PDFBibTeX XMLCite \textit{L. Tobiska} and \textit{R. Verfürth}, IMA J. Numer. Anal. 35, No. 4, 1652--1671 (2015; Zbl 1334.65186) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. (English) Zbl 1321.65142 IMA J. Numer. Anal. 35, No. 2, 561-582 (2015). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65M15 65M20 65M60 35R11 35K20 PDFBibTeX XMLCite \textit{B. Jin} et al., IMA J. Numer. Anal. 35, No. 2, 561--582 (2015; Zbl 1321.65142) Full Text: DOI arXiv
Bernardi, Christine; Sayah, Toni A posteriori error analysis of the time-dependent Stokes equations with mixed boundary conditions. (English) Zbl 1310.65106 IMA J. Numer. Anal. 35, No. 1, 179-198 (2015). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M15 35K20 35Q30 76D07 76M10 65M60 PDFBibTeX XMLCite \textit{C. Bernardi} and \textit{T. Sayah}, IMA J. Numer. Anal. 35, No. 1, 179--198 (2015; Zbl 1310.65106) Full Text: DOI
Cangiani, Andrea; Georgoulis, Emmanuil H.; Metcalfe, Stephen Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems. (English) Zbl 1310.65122 IMA J. Numer. Anal. 34, No. 4, 1578-1597 (2014). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 65M50 65M15 35K20 PDFBibTeX XMLCite \textit{A. Cangiani} et al., IMA J. Numer. Anal. 34, No. 4, 1578--1597 (2014; Zbl 1310.65122) Full Text: DOI arXiv Link
Mustapha, Kassem; Schötzau, Dominik Well-posedness of \(hp\)-version discontinuous Galerkin methods for fractional diffusion wave equations. (English) Zbl 1310.65128 IMA J. Numer. Anal. 34, No. 4, 1426-1446 (2014). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 65M12 65M15 35R11 35K20 PDFBibTeX XMLCite \textit{K. Mustapha} and \textit{D. Schötzau}, IMA J. Numer. Anal. 34, No. 4, 1426--1446 (2014; Zbl 1310.65128) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Stable phase field approximations of anisotropic solidification. (English) Zbl 1310.65120 IMA J. Numer. Anal. 34, No. 4, 1289-1327 (2014). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 35K20 65M12 76T15 76M10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., IMA J. Numer. Anal. 34, No. 4, 1289--1327 (2014; Zbl 1310.65120) Full Text: DOI arXiv
Olshanskii, Maxim A.; Reusken, Arnold; Xu, Xianmin A stabilized finite element method for advection-diffusion equations on surfaces. (English) Zbl 1293.65159 IMA J. Numer. Anal. 34, No. 2, 732-758 (2014). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 65N15 35J25 35K20 65M60 65N12 PDFBibTeX XMLCite \textit{M. A. Olshanskii} et al., IMA J. Numer. Anal. 34, No. 2, 732--758 (2014; Zbl 1293.65159) Full Text: DOI arXiv Link
Iserles, Arieh On skew-symmetric differentiation matrices. (English) Zbl 1288.65121 IMA J. Numer. Anal. 34, No. 2, 435-451 (2014). MSC: 65M06 35K20 65M12 PDFBibTeX XMLCite \textit{A. Iserles}, IMA J. Numer. Anal. 34, No. 2, 435--451 (2014; Zbl 1288.65121) Full Text: DOI
Yang, Min; Liu, Jiangguo; Lin, Yanping Quadratic finite-volume methods for elliptic and parabolic problems on quadrilateral meshes: optimal-order errors based on Barlow points. (English) Zbl 1281.65140 IMA J. Numer. Anal. 33, No. 4, 1342-1364 (2013). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N08 65M08 35J25 35K20 65M15 65N15 65M50 65N50 PDFBibTeX XMLCite \textit{M. Yang} et al., IMA J. Numer. Anal. 33, No. 4, 1342--1364 (2013; Zbl 1281.65140) Full Text: DOI Link
Viscor, Martin; Stynes, Martin A robust finite difference method for a singularly perturbed degenerate parabolic problem. II. (English) Zbl 1270.65050 IMA J. Numer. Anal. 33, No. 2, 460-480 (2013). MSC: 65M06 65M12 35K20 35K65 35B25 65M50 PDFBibTeX XMLCite \textit{M. Viscor} and \textit{M. Stynes}, IMA J. Numer. Anal. 33, No. 2, 460--480 (2013; Zbl 1270.65050) Full Text: DOI
Mackenzie, J. A.; Mekwi, W. R. An unconditionally stable second-order accurate ALE-FEM scheme for two-dimensional convection-diffusion problems. (English) Zbl 1267.65121 IMA J. Numer. Anal. 32, No. 3, 888-905 (2012). Reviewer: S. Burys (Kraków) MSC: 65M20 65M60 65M12 35K20 65M06 PDFBibTeX XMLCite \textit{J. A. Mackenzie} and \textit{W. R. Mekwi}, IMA J. Numer. Anal. 32, No. 3, 888--905 (2012; Zbl 1267.65121) Full Text: DOI
Dziuk, G.; Lubich, Ch.; Mansour, D. Runge-Kutta time discretization of parabolic differential equations on evolving surfaces. (English) Zbl 1247.65124 IMA J. Numer. Anal. 32, No. 2, 394-416 (2012). Reviewer: Fernando Casas (Castellon) MSC: 65M20 35K20 65M60 65L06 65M12 65L05 34A30 PDFBibTeX XMLCite \textit{G. Dziuk} et al., IMA J. Numer. Anal. 32, No. 2, 394--416 (2012; Zbl 1247.65124) Full Text: DOI Link
Lakkis, Omar; Pryer, Tristan Gradient recovery in adaptive finite-element methods for parabolic problems. (English) Zbl 1244.65130 IMA J. Numer. Anal. 32, No. 1, 246-278 (2012). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M20 65M60 65M06 65M15 35K05 35K20 PDFBibTeX XMLCite \textit{O. Lakkis} and \textit{T. Pryer}, IMA J. Numer. Anal. 32, No. 1, 246--278 (2012; Zbl 1244.65130) Full Text: DOI arXiv
Karakatsani, Fotini A posteriori error estimates for the fractional-step \(\vartheta \)-scheme for linear parabolic equations. (English) Zbl 1242.65186 IMA J. Numer. Anal. 32, No. 1, 141-162 (2012). Reviewer: Petr Sváček (Praha) MSC: 65M15 65M20 65M50 65M06 35K20 PDFBibTeX XMLCite \textit{F. Karakatsani}, IMA J. Numer. Anal. 32, No. 1, 141--162 (2012; Zbl 1242.65186) Full Text: DOI arXiv
Yang, Min; Liu, Jiangguo A quadratic finite volume element method for parabolic problems on quadrilateral meshes. (English) Zbl 1241.65074 IMA J. Numer. Anal. 31, No. 3, 1038-1061 (2011). Reviewer: I. N. Katz (St. Louis) MSC: 65M08 35K20 65M12 65M50 PDFBibTeX XMLCite \textit{M. Yang} and \textit{J. Liu}, IMA J. Numer. Anal. 31, No. 3, 1038--1061 (2011; Zbl 1241.65074) Full Text: DOI Link
Wang, Kaixin; Wang, Hong Uniform estimates for a family of Eulerian-Lagrangian methods for time-dependent convection-diffusion equations with degenerate diffusion. (English) Zbl 1241.65076 IMA J. Numer. Anal. 31, No. 3, 1006-1037 (2011). Reviewer: I. N. Katz (St. Louis) MSC: 65M15 65M60 35K20 65M12 PDFBibTeX XMLCite \textit{K. Wang} and \textit{H. Wang}, IMA J. Numer. Anal. 31, No. 3, 1006--1037 (2011; Zbl 1241.65076) Full Text: DOI
Eymard, Robert; Handlovičová, Angela; Mikula, Karol Study of a finite volume scheme for the regularized mean curvature flow level set equation. (English) Zbl 1241.65072 IMA J. Numer. Anal. 31, No. 3, 813-846 (2011). Reviewer: I. N. Katz (St. Louis) MSC: 65M08 35K20 65M12 94A08 PDFBibTeX XMLCite \textit{R. Eymard} et al., IMA J. Numer. Anal. 31, No. 3, 813--846 (2011; Zbl 1241.65072) Full Text: DOI HAL
Elliott, Charles M.; Stinner, Björn; Styles, Vanessa; Welford, Richard Numerical computation of advection and diffusion on evolving diffuse interfaces. (English) Zbl 1241.65081 IMA J. Numer. Anal. 31, No. 3, 786-812 (2011). Reviewer: I. N. Katz (St. Louis) MSC: 65M60 35K20 PDFBibTeX XMLCite \textit{C. M. Elliott} et al., IMA J. Numer. Anal. 31, No. 3, 786--812 (2011; Zbl 1241.65081) Full Text: DOI
Jovanović, Boško S.; Vulkov, Lubin G. Numerical solution of a parabolic transmission problem. (English) Zbl 1215.65141 IMA J. Numer. Anal. 31, No. 1, 233-253 (2011). Reviewer: Muhammad Akram (Lahore) MSC: 65M06 35K20 65M12 PDFBibTeX XMLCite \textit{B. S. Jovanović} and \textit{L. G. Vulkov}, IMA J. Numer. Anal. 31, No. 1, 233--253 (2011; Zbl 1215.65141) Full Text: DOI
Bermejo, R.; Carpio, J. A semi-Lagrangian-Galerkin projection scheme for convection equations. (English) Zbl 1198.65190 IMA J. Numer. Anal. 30, No. 3, 799-831 (2010). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 35K20 PDFBibTeX XMLCite \textit{R. Bermejo} and \textit{J. Carpio}, IMA J. Numer. Anal. 30, No. 3, 799--831 (2010; Zbl 1198.65190) Full Text: DOI
Weideman, J. A. C. Improved contour integral methods for parabolic PDEs. (English) Zbl 1186.65125 IMA J. Numer. Anal. 30, No. 1, 334-350 (2010). MSC: 65M20 35K20 65M70 65M06 65L06 65M15 PDFBibTeX XMLCite \textit{J. A. C. Weideman}, IMA J. Numer. Anal. 30, No. 1, 334--350 (2010; Zbl 1186.65125) Full Text: DOI
Gerisch, A. On the approximation and efficient evaluation of integral terms in PDE models of cell adhesion. (English) Zbl 1185.65166 IMA J. Numer. Anal. 30, No. 1, 173-194 (2010). MSC: 65M20 92C37 92D25 35K20 65M08 PDFBibTeX XMLCite \textit{A. Gerisch}, IMA J. Numer. Anal. 30, No. 1, 173--194 (2010; Zbl 1185.65166) Full Text: DOI
Faragó, István; Horváth, Róbert Continuous and discrete parabolic operators and their qualitative properties. (English) Zbl 1176.65087 IMA J. Numer. Anal. 29, No. 3, 606-631 (2009). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35K20 PDFBibTeX XMLCite \textit{I. Faragó} and \textit{R. Horváth}, IMA J. Numer. Anal. 29, No. 3, 606--631 (2009; Zbl 1176.65087) Full Text: DOI
Girault, V.; Glowinski, R.; López, H. A domain decomposition and mixed method for a linear parabolic boundary value problem. (English) Zbl 1062.65101 IMA J. Numer. Anal. 24, No. 3, 491-520 (2004). Reviewer: Vit Dolejsi (Praha) MSC: 65M55 35K20 35K15 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{V. Girault} et al., IMA J. Numer. Anal. 24, No. 3, 491--520 (2004; Zbl 1062.65101) Full Text: DOI
Sheng, Q. Solving linear partial differential equations by exponential splitting. (English) Zbl 0676.65116 IMA J. Numer. Anal. 9, No. 2, 199-212 (1989). Reviewer: F.v.Finckenstein MSC: 65N40 65L20 35K20 PDFBibTeX XMLCite \textit{Q. Sheng}, IMA J. Numer. Anal. 9, No. 2, 199--212 (1989; Zbl 0676.65116) Full Text: DOI
Berzins, M.; Dew, P. M. A note on \(C^ 0\) Chebyshev methods for parabolic P.D.E.s. (English) Zbl 0611.65081 IMA J. Numer. Anal. 7, 15-37 (1987). Reviewer: Michael Sever (Jerusalem) MSC: 65N35 35K20 PDFBibTeX XMLCite \textit{M. Berzins} and \textit{P. M. Dew}, IMA J. Numer. Anal. 7, 15--37 (1987; Zbl 0611.65081) Full Text: DOI
Marinov, Corneliu Truncation errors for infinite linear systems. (English) Zbl 0631.65075 IMA J. Numer. Anal. 6, 51-63 (1986). Reviewer: J.M.Sanz-Serna MSC: 65L05 34A30 35K20 65M20 PDFBibTeX XMLCite \textit{C. Marinov}, IMA J. Numer. Anal. 6, 51--63 (1986; Zbl 0631.65075) Full Text: DOI
Barrett, John W.; Elliott, Charles M. Total flux estimates for a finite-element approximation of parabolic equations. (English) Zbl 0614.65119 IMA J. Numer. Anal. 6, 253-264 (1986). Reviewer: P.K.Mahanti MSC: 65N30 35K20 PDFBibTeX XMLCite \textit{J. W. Barrett} and \textit{C. M. Elliott}, IMA J. Numer. Anal. 6, 253--264 (1986; Zbl 0614.65119) Full Text: DOI
Verdi, C.; Visintin, A. Numerical approximation of hysteresis problems. (English) Zbl 0608.65082 IMA J. Numer. Anal. 5, 447-463 (1985). Reviewer: E.V.Nicolau MSC: 65Z05 65N30 65N40 35K20 35Q99 78A25 PDFBibTeX XMLCite \textit{C. Verdi} and \textit{A. Visintin}, IMA J. Numer. Anal. 5, 447--463 (1985; Zbl 0608.65082) Full Text: DOI
Fairweather, G.; Saylor, A. V. On the application of extrapolation, deferred correction and defect correction to discrete-time Galerkin methods for parabolic problems. (English) Zbl 0573.65086 IMA J. Numer. Anal. 3, 173-192 (1983). Reviewer: Th.Seidman MSC: 65N30 65N40 35K20 PDFBibTeX XMLCite \textit{G. Fairweather} and \textit{A. V. Saylor}, IMA J. Numer. Anal. 3, 173--192 (1983; Zbl 0573.65086) Full Text: DOI