Shakya, Pratibha Error analysis for the finite element approximations of Dirichlet parabolic boundary control problem with measure data. (English) Zbl 07808104 J. Math. Anal. Appl. 534, No. 2, Article ID 128109, 29 p. (2024). MSC: 65M60 65M06 65N30 65K10 93C20 65M15 65M12 35B45 35B65 35A01 35A02 35R06 PDFBibTeX XMLCite \textit{P. Shakya}, J. Math. Anal. Appl. 534, No. 2, Article ID 128109, 29 p. (2024; Zbl 07808104) Full Text: DOI
Liu, Shuaijun; Huang, Pengzhan; He, Yinnian An optimal error estimate of the BDF-Galerkin FEM for the incompressible MHD system. (English) Zbl 1493.65156 J. Math. Anal. Appl. 515, No. 2, Article ID 126460, 30 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126460, 30 p. (2022; Zbl 1493.65156) Full Text: DOI
Zech, Simon; Ray, Nadja; Schulz, Raphael Numerical investigations of degenerate equations for fluid flow and reactive transport in clogging porous media. (English) Zbl 1502.65152 J. Math. Anal. Appl. 515, No. 2, Article ID 126384, 25 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 35Q35 PDFBibTeX XMLCite \textit{S. Zech} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126384, 25 p. (2022; Zbl 1502.65152) Full Text: DOI
Vijesh, V. Antony; Vatsala, A. S. An accelerated technique for the coupled system of reaction-diffusion-transport equations arising from catalytic converters. (English) Zbl 1495.80008 J. Math. Anal. Appl. 515, No. 2, Article ID 126365, 39 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 80A32 80M20 65M06 65N06 65M12 65M15 65R20 35B44 35K57 35R09 45K05 PDFBibTeX XMLCite \textit{V. A. Vijesh} and \textit{A. S. Vatsala}, J. Math. Anal. Appl. 515, No. 2, Article ID 126365, 39 p. (2022; Zbl 1495.80008) Full Text: DOI
Kaur, Navneet; Joshi, Varun Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method. (English) Zbl 1504.35448 J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022). MSC: 35Q53 35C08 76B25 35A24 35D30 37K10 65D07 65L06 65M15 PDFBibTeX XMLCite \textit{N. Kaur} and \textit{V. Joshi}, J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022; Zbl 1504.35448) Full Text: DOI
Zeng, Yihui; Luo, Zhendong The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation. (English) Zbl 1490.65216 J. Math. Anal. Appl. 513, No. 1, Article ID 126207, 13 p. (2022). MSC: 65M60 65M99 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Z. Luo}, J. Math. Anal. Appl. 513, No. 1, Article ID 126207, 13 p. (2022; Zbl 1490.65216) Full Text: DOI
Steinbach, Olaf; Zank, Marco A generalized inf-sup stable variational formulation for the wave equation. (English) Zbl 1517.65091 J. Math. Anal. Appl. 505, No. 1, Article ID 125457, 24 p. (2022). Reviewer: Michael Jung (Dresden) MSC: 65M60 65M38 65M12 65M15 35L05 35L02 35A15 35A24 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{O. Steinbach} and \textit{M. Zank}, J. Math. Anal. Appl. 505, No. 1, Article ID 125457, 24 p. (2022; Zbl 1517.65091) Full Text: DOI arXiv
Li, Huanrong; Song, Zhengyuan A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model. (English) Zbl 1468.65145 J. Math. Anal. Appl. 500, No. 2, Article ID 125103, 16 p. (2021). MSC: 65M60 65M99 65M12 65M15 35Q99 PDFBibTeX XMLCite \textit{H. Li} and \textit{Z. Song}, J. Math. Anal. Appl. 500, No. 2, Article ID 125103, 16 p. (2021; Zbl 1468.65145) Full Text: DOI
Chen, Hongtao Error estimates for the scalar auxiliary variable (SAV) schemes to the viscous Cahn-Hilliard equation with hyperbolic relaxation. (English) Zbl 1466.65059 J. Math. Anal. Appl. 499, No. 1, Article ID 125002, 21 p. (2021). MSC: 65M06 65M12 65M15 35Q35 PDFBibTeX XMLCite \textit{H. Chen}, J. Math. Anal. Appl. 499, No. 1, Article ID 125002, 21 p. (2021; Zbl 1466.65059) Full Text: DOI
Zhang, Tie; Sheng, Ying The \(H^1\)-error analysis of the finite element method for solving the fractional diffusion equation. (English) Zbl 1452.65263 J. Math. Anal. Appl. 493, No. 2, Article ID 124540, 22 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Y. Sheng}, J. Math. Anal. Appl. 493, No. 2, Article ID 124540, 22 p. (2021; Zbl 1452.65263) 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
Zerulla, Konstantin A uniformly exponentially stable ADI scheme for Maxwell equations. (English) Zbl 1466.65087 J. Math. Anal. Appl. 492, No. 1, Article ID 124442, 48 p. (2020). MSC: 65M06 65M12 65M15 78A25 78M20 35Q61 PDFBibTeX XMLCite \textit{K. Zerulla}, J. Math. Anal. Appl. 492, No. 1, Article ID 124442, 48 p. (2020; Zbl 1466.65087) Full Text: DOI Link
Li, Huanrong; Song, Zhengyuan A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation. (English) Zbl 1447.65028 J. Math. Anal. Appl. 491, No. 1, Article ID 124245, 11 p. (2020). MSC: 65M06 65M15 65M12 35Q35 65M99 PDFBibTeX XMLCite \textit{H. Li} and \textit{Z. Song}, J. Math. Anal. Appl. 491, No. 1, Article ID 124245, 11 p. (2020; Zbl 1447.65028) Full Text: DOI
Wen, Jing; He, Yinnian; Chen, Hongbin Discontinuous Galerkin method for the fully dynamic Biot’s model. (English) Zbl 1464.65188 J. Math. Anal. Appl. 485, No. 2, Article ID 123837, 21 p. (2020). MSC: 65N30 65M06 65M12 65M15 74F10 74S05 35Q74 PDFBibTeX XMLCite \textit{J. Wen} et al., J. Math. Anal. Appl. 485, No. 2, Article ID 123837, 21 p. (2020; Zbl 1464.65188) Full Text: DOI
Teng, Fei; Luo, Zhendong A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation. (English) Zbl 1434.65192 J. Math. Anal. Appl. 485, No. 1, Article ID 123761, 13 p. (2020). MSC: 65M60 65M06 65M99 65M12 65M15 35Q53 PDFBibTeX XMLCite \textit{F. Teng} and \textit{Z. Luo}, J. Math. Anal. Appl. 485, No. 1, Article ID 123761, 13 p. (2020; Zbl 1434.65192) Full Text: DOI
Yang, Jing; Z. D. Luo, Zhendong Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation. (English) Zbl 1433.65230 J. Math. Anal. Appl. 475, No. 1, 123-138 (2019). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M12 76D07 76M10 65M06 65M99 65M15 PDFBibTeX XMLCite \textit{J. Yang} and \textit{Z. Z. D. Luo}, J. Math. Anal. Appl. 475, No. 1, 123--138 (2019; Zbl 1433.65230) Full Text: DOI
Zhao, Zhihui; Li, Hong A continuous Galerkin method for pseudo-hyperbolic equations with variable coefficients. (English) Zbl 1416.65369 J. Math. Anal. Appl. 473, No. 2, 1053-1072 (2019). MSC: 65M60 65M50 65M15 65D32 35L82 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{H. Li}, J. Math. Anal. Appl. 473, No. 2, 1053--1072 (2019; Zbl 1416.65369) Full Text: DOI
Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru Two-level mixed finite element methods for the Navier-Stokes equations with damping. (English) Zbl 1404.65177 J. Math. Anal. Appl. 470, No. 1, 292-307 (2019). MSC: 65M60 76D05 76M10 65M15 76D07 35A15 65M12 PDFBibTeX XMLCite \textit{M. Li} et al., J. Math. Anal. Appl. 470, No. 1, 292--307 (2019; Zbl 1404.65177) Full Text: DOI
Pei, Lifang; Shi, Dongyang A new error analysis of nonconforming Bergan’s energy-orthogonal element for the extended Fisher-Kolmogorov equation. (English) Zbl 1404.65130 J. Math. Anal. Appl. 464, No. 2, 1383-1407 (2018). MSC: 65M15 65M60 65M06 74K20 35Q74 PDFBibTeX XMLCite \textit{L. Pei} and \textit{D. Shi}, J. Math. Anal. Appl. 464, No. 2, 1383--1407 (2018; Zbl 1404.65130) Full Text: DOI
Wang, Tingchun; Jiang, Jiaping; Xue, Xiang Unconditional and optimal \(H^{1}\) error estimate of a Crank-Nicolson finite difference scheme for the Gross-Pitaevskii equation with an angular momentum rotation term. (English) Zbl 1379.65066 J. Math. Anal. Appl. 459, No. 2, 945-958 (2018). MSC: 65M06 65M15 65M12 35Q76 35Q82 35Q55 PDFBibTeX XMLCite \textit{T. Wang} et al., J. Math. Anal. Appl. 459, No. 2, 945--958 (2018; Zbl 1379.65066) Full Text: DOI
Jahnke, Tobias; Mikl, Marcel; Schnaubelt, Roland Strang splitting for a semilinear Schrödinger equation with damping and forcing. (English) Zbl 1370.65057 J. Math. Anal. Appl. 455, No. 2, 1051-1071 (2017). MSC: 65M70 35Q55 65T50 65M15 65M12 PDFBibTeX XMLCite \textit{T. Jahnke} et al., J. Math. Anal. Appl. 455, No. 2, 1051--1071 (2017; Zbl 1370.65057) Full Text: DOI Link
Cai, Jiaxiang; Gong, Yuezheng; Liang, Hua Novel implicit/explicit local conservative schemes for the regularized long-wave equation and convergence analysis. (English) Zbl 1352.65228 J. Math. Anal. Appl. 447, No. 1, 17-31 (2017). MSC: 65M06 65M12 65M15 35L75 PDFBibTeX XMLCite \textit{J. Cai} et al., J. Math. Anal. Appl. 447, No. 1, 17--31 (2017; Zbl 1352.65228) Full Text: DOI
Sunny, Linia Anie; Roy, Rupsha; Vijesh, V. Antony An accelerated technique for solving a coupled system of differential equations for a catalytic converter in interphase heat transfer. (English) Zbl 1351.65061 J. Math. Anal. Appl. 445, No. 1, 318-336 (2017). MSC: 65M06 65M15 65M12 35K61 80A20 PDFBibTeX XMLCite \textit{L. A. Sunny} et al., J. Math. Anal. Appl. 445, No. 1, 318--336 (2017; Zbl 1351.65061) Full Text: DOI
Luo, Zhendong; Gao, Junqiang A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium. (English) Zbl 1382.65252 J. Math. Anal. Appl. 444, No. 1, 433-451 (2016). MSC: 65M06 65M15 78M20 35Q61 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{J. Gao}, J. Math. Anal. Appl. 444, No. 1, 433--451 (2016; Zbl 1382.65252) Full Text: DOI
Eilinghoff, Johannes; Schnaubelt, Roland; Schratz, Katharina Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. (English) Zbl 1339.65152 J. Math. Anal. Appl. 442, No. 2, 740-760 (2016). MSC: 65M15 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{J. Eilinghoff} et al., J. Math. Anal. Appl. 442, No. 2, 740--760 (2016; Zbl 1339.65152) Full Text: DOI
Kuberry, Paul; Lee, Hyesuk Convergence of a fluid-structure interaction problem decoupled by a Neumann control over a single time step. (English) Zbl 1391.76342 J. Math. Anal. Appl. 437, No. 1, 645-667 (2016). MSC: 76M10 74S05 65M60 49K20 65M15 74F10 76Z05 92C35 PDFBibTeX XMLCite \textit{P. Kuberry} and \textit{H. Lee}, J. Math. Anal. Appl. 437, No. 1, 645--667 (2016; Zbl 1391.76342) Full Text: DOI
Luo, Zhendong; Gao, Junqiang; Xie, Zhenghui Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration. (English) Zbl 1318.35083 J. Math. Anal. Appl. 429, No. 2, 901-923 (2015). MSC: 35Q35 76B15 35B45 65M06 65M15 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Math. Anal. Appl. 429, No. 2, 901--923 (2015; Zbl 1318.35083) Full Text: DOI
Blömker, Dirk; Nolde, Christian; Robinson, James C. Rigorous numerical verification of uniqueness and smoothness in a surface growth model. (English) Zbl 1315.65092 J. Math. Anal. Appl. 429, No. 1, 311-325 (2015). MSC: 65M99 35K55 65M15 35Q30 PDFBibTeX XMLCite \textit{D. Blömker} et al., J. Math. Anal. Appl. 429, No. 1, 311--325 (2015; Zbl 1315.65092) Full Text: DOI arXiv
Liu, Wenjie; Sun, Jiebao; Wu, Boying Space-time spectral method for the two-dimensional generalized sine-Gordon equation. (English) Zbl 1314.65132 J. Math. Anal. Appl. 427, No. 2, 787-804 (2015). MSC: 65M70 35Q40 65M15 65M12 PDFBibTeX XMLCite \textit{W. Liu} et al., J. Math. Anal. Appl. 427, No. 2, 787--804 (2015; Zbl 1314.65132) Full Text: DOI
Moroşanu, Costică; Croitoru, Anca Analysis of an iterative scheme of fractional steps type associated to the reaction-diffusion equation endowed with a general nonlinearity and Cauchy-Neumann boundary conditions. (English) Zbl 1307.65119 J. Math. Anal. Appl. 425, No. 2, 1225-1239 (2015). MSC: 65M12 35K57 65M15 65M06 PDFBibTeX XMLCite \textit{C. Moroşanu} and \textit{A. Croitoru}, J. Math. Anal. Appl. 425, No. 2, 1225--1239 (2015; Zbl 1307.65119) Full Text: DOI
Si, Zhiyong; Li, Wenqiang; Wang, Yunxia A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows. (English) Zbl 1311.76072 J. Math. Anal. Appl. 425, No. 1, 96-110 (2015). MSC: 76M10 65M60 65M12 65M15 76A10 PDFBibTeX XMLCite \textit{Z. Si} et al., J. Math. Anal. Appl. 425, No. 1, 96--110 (2015; Zbl 1311.76072) Full Text: DOI
Ervin, V. J.; Macías-Díaz, J. E.; Ruiz-Ramírez, J. A positive and bounded finite element approximation of the generalized Burgers-Huxley equation. (English) Zbl 1306.65263 J. Math. Anal. Appl. 424, No. 2, 1143-1160 (2015). MSC: 65M60 35Q53 65M15 PDFBibTeX XMLCite \textit{V. J. Ervin} et al., J. Math. Anal. Appl. 424, No. 2, 1143--1160 (2015; Zbl 1306.65263) Full Text: DOI
Wang, Tingchun Uniform point-wise error estimates of semi-implicit compact finite difference methods for the nonlinear Schrödinger equation perturbed by wave operator. (English) Zbl 1300.65061 J. Math. Anal. Appl. 422, No. 1, 286-308 (2015). MSC: 65M06 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{T. Wang}, J. Math. Anal. Appl. 422, No. 1, 286--308 (2015; Zbl 1300.65061) Full Text: DOI
Goebbels, St. J. On the sharpness of an error bound for a Galerkin method to solve parabolic differential equations. (English) Zbl 1307.65131 J. Math. Anal. Appl. 410, No. 2, 967-978 (2014). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{St. J. Goebbels}, J. Math. Anal. Appl. 410, No. 2, 967--978 (2014; Zbl 1307.65131) Full Text: DOI
Zemanová, Viera; Slodička, Marián Quasi-static Maxwell’s equations with a dissipative non-linear boundary condition: full discretization. (English) Zbl 1312.78001 J. Math. Anal. Appl. 418, No. 1, 31-46 (2014). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A25 78M30 35Q61 78M20 35D30 78M10 65M15 PDFBibTeX XMLCite \textit{V. Zemanová} and \textit{M. Slodička}, J. Math. Anal. Appl. 418, No. 1, 31--46 (2014; Zbl 1312.78001) Full Text: DOI
Luo, Zhendong; Li, Hong; Sun, Ping A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem. (English) Zbl 1304.65198 J. Math. Anal. Appl. 404, No. 1, 71-85 (2013). MSC: 65M08 65M12 65M15 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Math. Anal. Appl. 404, No. 1, 71--85 (2013; Zbl 1304.65198) Full Text: DOI
Li, Huanrong; Li, Yukun A discontinuous Galerkin finite element method for swelling model of polymer gels. (English) Zbl 1462.65147 J. Math. Anal. Appl. 398, No. 1, 11-25 (2013). MSC: 65M60 65M15 74F10 74S05 35A01 35A02 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Li}, J. Math. Anal. Appl. 398, No. 1, 11--25 (2013; Zbl 1462.65147) Full Text: DOI
Feng, Xinlong; He, Yinnian; Huang, Pengzhan A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. (English) Zbl 1245.35082 J. Math. Anal. Appl. 392, No. 2, 209-224 (2012). MSC: 35Q30 65L06 65M15 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Math. Anal. Appl. 392, No. 2, 209--224 (2012; Zbl 1245.35082) Full Text: DOI
Luo, Zhendong; Li, Hong; Zhou, Yanjie; Xie, Zhenghui A reduced finite element formulation based on POD method for two-dimensional solute transport problems. (English) Zbl 1243.65123 J. Math. Anal. Appl. 385, No. 1, 371-383 (2012). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M60 76T20 35Q35 65M15 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Math. Anal. Appl. 385, No. 1, 371--383 (2012; Zbl 1243.65123) Full Text: DOI
Luo, Zhendong; Li, Hong; Zhou, Yanjie; Huang, Xiaoming A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem. (English) Zbl 1368.74071 J. Math. Anal. Appl. 385, No. 1, 310-321 (2012). MSC: 74S10 74D05 65M08 65M15 35L35 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Math. Anal. Appl. 385, No. 1, 310--321 (2012; Zbl 1368.74071) Full Text: DOI
Phan Thanh Nam An approximate solution for nonlinear backward parabolic equations. (English) Zbl 1194.35494 J. Math. Anal. Appl. 367, No. 2, 337-349 (2010). MSC: 35R25 35K05 65M30 65M15 PDFBibTeX XMLCite \textit{Phan Thanh Nam}, J. Math. Anal. Appl. 367, No. 2, 337--349 (2010; Zbl 1194.35494) Full Text: DOI
Li, Huanrong Analysis and application of finite volume element methods to a class of partial differential equations. (English) Zbl 1182.65143 J. Math. Anal. Appl. 358, No. 1, 47-55 (2009). Reviewer: Stefan Jakobsson (Göteborg) MSC: 65M15 35L15 65M08 65M12 PDFBibTeX XMLCite \textit{H. Li}, J. Math. Anal. Appl. 358, No. 1, 47--55 (2009; Zbl 1182.65143) Full Text: DOI
Bensaada, Mohamed; Esselaoui, Driss Error estimates for a stabilized finite element method for the Oldroyd B model. (English) Zbl 1107.76043 J. Math. Anal. Appl. 325, No. 2, 1042-1059 (2007). MSC: 76M10 76A10 65M15 65M60 PDFBibTeX XMLCite \textit{M. Bensaada} and \textit{D. Esselaoui}, J. Math. Anal. Appl. 325, No. 2, 1042--1059 (2007; Zbl 1107.76043) Full Text: DOI
Brayanov, Iliya A. Numerical solution of a mixed singularly perturbed parabolic-elliptic problem. (English) Zbl 1098.65086 J. Math. Anal. Appl. 320, No. 1, 361-380 (2006). Reviewer: Kai Schneider (Marseille) MSC: 65M06 35M10 65M50 65M12 35B25 65M15 PDFBibTeX XMLCite \textit{I. A. Brayanov}, J. Math. Anal. Appl. 320, No. 1, 361--380 (2006; Zbl 1098.65086) Full Text: DOI
Xiong, Xiang-Tuan; Fu, Chu-Li; Li, Hong-Fang Fourier regularization method of a sideways heat equation for determining surface heat flux. (English) Zbl 1124.65083 J. Math. Anal. Appl. 317, No. 1, 331-348 (2006). Reviewer: K. N. Shukla (Coimbatore) MSC: 65M32 35R30 65M30 35R25 35K05 65M15 65M12 PDFBibTeX XMLCite \textit{X.-T. Xiong} et al., J. Math. Anal. Appl. 317, No. 1, 331--348 (2006; Zbl 1124.65083) Full Text: DOI
Gunzburger, M. D.; Hou, L. S.; Zhu, W. Fully discrete finite element approximations of the forced Fisher equation. (English) Zbl 1095.65094 J. Math. Anal. Appl. 313, No. 2, 419-440 (2006). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 65M60 35K55 65M15 92D25 35Q80 PDFBibTeX XMLCite \textit{M. D. Gunzburger} et al., J. Math. Anal. Appl. 313, No. 2, 419--440 (2006; Zbl 1095.65094) Full Text: DOI
Ohm, M. R.; Lee, H. Y.; Shin, J. Y. Error estimates for discontinuous Galerkin method for nonlinear parabolic equations. (English) Zbl 1094.65091 J. Math. Anal. Appl. 315, No. 1, 132-143 (2006). Reviewer: Emil Minchev (Russe) MSC: 65M15 65M60 35K55 PDFBibTeX XMLCite \textit{M. R. Ohm} et al., J. Math. Anal. Appl. 315, No. 1, 132--143 (2006; Zbl 1094.65091) Full Text: DOI
Zubik-Kowal, Barbara Error bounds for spatial discretization and waveform relaxation applied to parabolic functional differential equations. (English) Zbl 1053.65078 J. Math. Anal. Appl. 293, No. 2, 496-510 (2004). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 65M06 65M20 35R10 35K55 PDFBibTeX XMLCite \textit{B. Zubik-Kowal}, J. Math. Anal. Appl. 293, No. 2, 496--510 (2004; Zbl 1053.65078) Full Text: DOI
Nakao, Mitsuhiro T.; Yamamoto, Nobito Numerical verification of solutions for nonlinear elliptic problems using an \(L^\infty\) residual method. (English) Zbl 0893.35006 J. Math. Anal. Appl. 217, No. 1, 246-262 (1998). Reviewer: J.Chrastina (Brno) MSC: 65M99 65N99 65M15 65M60 35J65 PDFBibTeX XMLCite \textit{M. T. Nakao} and \textit{N. Yamamoto}, J. Math. Anal. Appl. 217, No. 1, 246--262 (1998; Zbl 0893.35006) Full Text: DOI
Zhao, Jennifer J. A finite difference scheme for a class of nonlinear parabolic systems in 3D space variables. (English) Zbl 0878.65072 J. Math. Anal. Appl. 203, No. 2, 490-517 (1996). Reviewer: R.Anguelov (Silverton) MSC: 65M06 65M15 35K55 PDFBibTeX XMLCite \textit{J. J. Zhao}, J. Math. Anal. Appl. 203, No. 2, 490--517 (1996; Zbl 0878.65072) Full Text: DOI
Ohm, Mi-Ray \(H_ 1\)-estimates of optimal orders for Galerkin methods to one-dimensional Stefan problems. (English) Zbl 0862.35146 J. Math. Anal. Appl. 199, No. 1, 231-242 (1996). Reviewer: J.Steinbach (München) MSC: 35R35 65N30 65M15 65M20 PDFBibTeX XMLCite \textit{M.-R. Ohm}, J. Math. Anal. Appl. 199, No. 1, 231--242 (1996; Zbl 0862.35146) Full Text: DOI
Ohm, Mi-Ray \(L_ \infty\)-estimates of quasi-optimal order for Galerkin methods to \(N=2,3\) dimensional second order hyperbolic differential equations. (English) Zbl 0831.65097 J. Math. Anal. Appl. 182, No. 1, 287-292 (1994). Reviewer: L.G.Vulkov (Russe) MSC: 65M15 65M12 65M60 35L15 PDFBibTeX XMLCite \textit{M.-R. Ohm}, J. Math. Anal. Appl. 182, No. 1, 287--292 (1994; Zbl 0831.65097) Full Text: DOI
Lin, Yanping; Zhang, Tie Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions. (English) Zbl 0753.65080 J. Math. Anal. Appl. 165, No. 1, 180-191 (1992). Reviewer: Th.Sonar (Stuttgart) MSC: 65M60 65M20 65M15 35K55 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{T. Zhang}, J. Math. Anal. Appl. 165, No. 1, 180--191 (1992; Zbl 0753.65080) Full Text: DOI
Pardis, Cyrus J. On difference methods for the Darboux problem for an equation of mixed hyperbolic-parabolic type. (English) Zbl 0732.65083 J. Math. Anal. Appl. 157, No. 2, 447-468 (1991). Reviewer: U.Göhner (Stuttgart) MSC: 65M06 65M12 65M15 35L15 35M10 PDFBibTeX XMLCite \textit{C. J. Pardis}, J. Math. Anal. Appl. 157, No. 2, 447--468 (1991; Zbl 0732.65083) Full Text: DOI
Cannon, J. R.; Ewing, Richard E. A direct numerical procedure for the Cauchy problem for the heat equation. (English) Zbl 0339.65050 J. Math. Anal. Appl. 56, 7-17 (1976). MSC: 65M06 65M12 65M15 35K05 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{R. E. Ewing}, J. Math. Anal. Appl. 56, 7--17 (1976; Zbl 0339.65050) Full Text: DOI
Kushner, H. J.; Yu, Chen-Fu. The approximate calculation of invariant measures of diffusions via finite difference approximations to degenerate elliptic partial differential equations. (English) Zbl 0313.65083 J. Math. Anal. Appl. 51, 359-367 (1975). MSC: 65M12 65M06 65M15 65K05 35J10 PDFBibTeX XMLCite \textit{H. J. Kushner} and \textit{C.-Fu. Yu}, J. Math. Anal. Appl. 51, 359--367 (1975; Zbl 0313.65083) Full Text: DOI