Zhang, Yadong; Shi, Dongyang Superconvergence of an \(H^1\)-Galerkin nonconforming mixed finite element method for a parabolic equation. (English) Zbl 1350.65098 Comput. Math. Appl. 66, No. 11, 2362-2375 (2013). MSC: 65M20 65M60 65M12 65M15 35K20 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{D. Shi}, Comput. Math. Appl. 66, No. 11, 2362--2375 (2013; Zbl 1350.65098) Full Text: DOI
Liu, Yang; Fang, Zhichao; Li, Hong; He, Siriguleng; Gao, Wei A coupling method based on new MFE and FE for fourth-order parabolic equation. (English) Zbl 1296.65135 J. Appl. Math. Comput. 43, No. 1-2, 249-269 (2013). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M12 65M15 35K35 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Appl. Math. Comput. 43, No. 1--2, 249--269 (2013; Zbl 1296.65135) Full Text: DOI
Hozman, Jiří; Lamač, Jan Analysis and application of the discontinuous Galerkin method to the RLW equation. (English) Zbl 1293.65123 Bound. Value Probl. 2013, Paper No. 116, 20 p. (2013). MSC: 65M20 65M60 35L75 65M15 PDFBibTeX XMLCite \textit{J. Hozman} and \textit{J. Lamač}, Bound. Value Probl. 2013, Paper No. 116, 20 p. (2013; Zbl 1293.65123) Full Text: DOI
Li, Qiyong; Gan, Siqing; Zhang, Haomin Mean-square exponential stability of an improved split-step backward Euler method for stochastic delay integro-differential equations. (Chinese. English summary) Zbl 1299.65010 J. Numer. Methods Comput. Appl. 34, No. 4, 241-248 (2013). MSC: 65C30 60H35 34K50 45J05 45R05 60H20 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Numer. Methods Comput. Appl. 34, No. 4, 241--248 (2013; Zbl 1299.65010)
Liu, Wei; Mao, Xuerong Asymptotic moment boundedness of the numerical solutions of stochastic differential equations. (English) Zbl 1288.65009 J. Comput. Appl. Math. 251, 22-32 (2013). MSC: 65C30 PDFBibTeX XMLCite \textit{W. Liu} and \textit{X. Mao}, J. Comput. Appl. Math. 251, 22--32 (2013; Zbl 1288.65009) Full Text: DOI
Tang, Yuelong; Chen, Yanping Superconvergence of finite element methods for optimal control problems governed by parabolic equations with time-dependent coefficients. (English) Zbl 1293.65097 East Asian J. Appl. Math. 3, No. 3, 209-227 (2013). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Y. Chen}, East Asian J. Appl. Math. 3, No. 3, 209--227 (2013; Zbl 1293.65097) Full Text: DOI
Shutov, A. V.; Landgraf, R.; Ihlemann, J. An explicit solution for implicit time stepping in multiplicative finite strain viscoelasticity. (English) Zbl 1286.76017 Comput. Methods Appl. Mech. Eng. 265, 213-225 (2013). MSC: 76A10 76M10 PDFBibTeX XMLCite \textit{A. V. Shutov} et al., Comput. Methods Appl. Mech. Eng. 265, 213--225 (2013; Zbl 1286.76017) Full Text: DOI arXiv
Li, Limei; Xu, Da Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation. (English) Zbl 1286.65101 J. Comput. Phys. 236, 157-168 (2013). MSC: 65M06 26A33 PDFBibTeX XMLCite \textit{L. Li} and \textit{D. Xu}, J. Comput. Phys. 236, 157--168 (2013; Zbl 1286.65101) Full Text: DOI
Mao, Xuerong; Szpruch, Lukasz Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. (English) Zbl 1304.65009 Stochastics 85, No. 1, 144-171 (2013). Reviewer: Robert G. Buschman (Bandon) MSC: 65C30 65L20 60H10 60H35 34F05 65C05 PDFBibTeX XMLCite \textit{X. Mao} and \textit{L. Szpruch}, Stochastics 85, No. 1, 144--171 (2013; Zbl 1304.65009) Full Text: DOI
Tang, Y.; Hua, Y. Superconvergence of fully discrete finite elements for parabolic control problems with integral constraints. (English) Zbl 1288.65097 East Asian J. Appl. Math. 3, No. 2, 138-153 (2013). Reviewer: Bülent Karasözen (Ankara) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Y. Hua}, East Asian J. Appl. Math. 3, No. 2, 138--153 (2013; Zbl 1288.65097) Full Text: DOI Link
Yu, Zhanhua Razumikhin-type theorem and mean square asymptotic behavior of the backward Euler method for neutral stochastic pantograph equations. (English) Zbl 1283.65008 J. Inequal. Appl. 2013, Paper No. 299, 15 p. (2013). MSC: 65C30 60H10 60H35 34K40 34K50 65L20 PDFBibTeX XMLCite \textit{Z. Yu}, J. Inequal. Appl. 2013, Paper No. 299, 15 p. (2013; Zbl 1283.65008) Full Text: DOI
Enatsu, Yoichi; Muroya, Yoshiaki A simple discrete-time analogue preserving the global stability of a continuous SIRS epidemic model. (English) Zbl 1280.92059 Int. J. Biomath. 6, No. 2, Article ID 1350001, 17 p. (2013). MSC: 92D30 34K20 34K25 PDFBibTeX XMLCite \textit{Y. Enatsu} and \textit{Y. Muroya}, Int. J. Biomath. 6, No. 2, Article ID 1350001, 17 p. (2013; Zbl 1280.92059) Full Text: DOI
Zong, Xiaofeng; Wu, Fuke; Tian, Tianhai Stability and stochastic stabilization of numerical solutions of regime-switching jump diffusion systems. (English) Zbl 1286.65013 J. Difference Equ. Appl. 19, No. 11, 1733-1757 (2013). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H35 60H10 65L20 34F05 PDFBibTeX XMLCite \textit{X. Zong} et al., J. Difference Equ. Appl. 19, No. 11, 1733--1757 (2013; Zbl 1286.65013) Full Text: DOI
Zhang, Qifeng; Zhang, Chengjian Block preconditioning strategies for nonlinear viscous wave equations. (English) Zbl 1278.65129 Appl. Math. Modelling 37, No. 8, 5801-5813 (2013). MSC: 65M06 35L70 65F08 65M12 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C. Zhang}, Appl. Math. Modelling 37, No. 8, 5801--5813 (2013; Zbl 1278.65129) Full Text: DOI Link
Kossioris, Georgios T.; Zouraris, Georgios E. Finite element approximations for a linear Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise. (English) Zbl 1278.65152 Discrete Contin. Dyn. Syst., Ser. B 18, No. 7, 1845-1872 (2013). MSC: 65M60 35Q35 65M15 65C30 60H15 PDFBibTeX XMLCite \textit{G. T. Kossioris} and \textit{G. E. Zouraris}, Discrete Contin. Dyn. Syst., Ser. B 18, No. 7, 1845--1872 (2013; Zbl 1278.65152) Full Text: DOI arXiv
Kopteva, Natalia; Linß, Torsten Numerical study of maximum norm a posteriori error estimates for singularly perturbed parabolic problems. (English) Zbl 1352.65354 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 5th international conference, NAA 2012, Lozenetz, Bulgaria, June 15–20, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-41514-2/pbk). Lecture Notes in Computer Science 8236, 50-61 (2013). MSC: 65M60 35K57 65M15 65M50 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{T. Linß}, Lect. Notes Comput. Sci. 8236, 50--61 (2013; Zbl 1352.65354) Full Text: DOI
Muroya, Yoshiaki; Enatsu, Yoichi A discrete-time analogue preserving the global stability of a continuous SEIS epidemic model. (English) Zbl 1310.92057 J. Difference Equ. Appl. 19, No. 9, 1463-1482 (2013). MSC: 92D30 39A30 34D20 PDFBibTeX XMLCite \textit{Y. Muroya} and \textit{Y. Enatsu}, J. Difference Equ. Appl. 19, No. 9, 1463--1482 (2013; Zbl 1310.92057) Full Text: DOI
Yu, Zhanhua The improved stability analysis of the backward Euler method for neutral stochastic delay differential equations. (English) Zbl 1277.60115 Int. J. Comput. Math. 90, No. 7, 1489-1494 (2013). MSC: 60H35 65C30 65L20 PDFBibTeX XMLCite \textit{Z. Yu}, Int. J. Comput. Math. 90, No. 7, 1489--1494 (2013; Zbl 1277.60115) Full Text: DOI
Chatzipantelidis, P.; Ginting, V. A finite volume element method for a nonlinear parabolic problem. (English) Zbl 1280.65108 Iliev, Oleg P. (ed.) et al., Numerical solution of partial differential equations: Theory, algorithms, and their applications. Papers based on the international symposium, Sozopol, Bulgaria, June 7–8, 2013. In Honor of Professor Raytcho Lazarov’s 40 years of research in computational methods and applied mathematics and on the occasion of his 70th birthday. New York, NY: Springer (ISBN 978-1-4614-7171-4/hbk; 978-1-4614-7172-1/ebook). Springer Proceedings in Mathematics & Statistics 45, 121-136 (2013). Reviewer: Bankteshwar Tiwari (Varanasi) MSC: 65M60 65M15 35K55 65M08 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} and \textit{V. Ginting}, Springer Proc. Math. Stat. 45, 121--136 (2013; Zbl 1280.65108) 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
Emmrich, Etienne; Wróblewska-Kamińska, Aneta Convergence of a full discretization of quasi-linear parabolic equations in isotropic and anisotropic Orlicz spaces. (English) Zbl 1272.65070 SIAM J. Numer. Anal. 51, No. 2, 1163-1184 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 65M12 65M06 65M60 35K59 65M15 46E30 PDFBibTeX XMLCite \textit{E. Emmrich} and \textit{A. Wróblewska-Kamińska}, SIAM J. Numer. Anal. 51, No. 2, 1163--1184 (2013; Zbl 1272.65070) Full Text: DOI
Bajpai, S.; Nataraj, N.; Pani, A. On fully discrete finite element schemes for equations of motion of Kelvin-Voigt fluids. (English) Zbl 1264.76056 Int. J. Numer. Anal. Model. 10, No. 2, 481-508 (2013). MSC: 76M10 76M20 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{S. Bajpai} et al., Int. J. Numer. Anal. Model. 10, No. 2, 481--508 (2013; Zbl 1264.76056) Full Text: Link
Barth, Andrea; Lang, Annika \(L^p\) and almost sure convergence of a Milstein scheme for stochastic partial differential equations. (English) Zbl 1263.60063 Stochastic Processes Appl. 123, No. 5, 1563-1587 (2013). MSC: 60H35 60H15 60F15 PDFBibTeX XMLCite \textit{A. Barth} and \textit{A. Lang}, Stochastic Processes Appl. 123, No. 5, 1563--1587 (2013; Zbl 1263.60063) Full Text: DOI
Kossioris, Georgios T.; Zouraris, Georgios E. Finite element approximations for a linear fourth-order parabolic SPDE in two and three space dimensions with additive space-time white noise. (English) Zbl 1271.65016 Appl. Numer. Math. 67, 243-261 (2013). Reviewer: Gong Guanglu (Beijing) MSC: 65C30 35K25 35R60 60H15 60H40 60H35 65M60 65M06 65M15 PDFBibTeX XMLCite \textit{G. T. Kossioris} and \textit{G. E. Zouraris}, Appl. Numer. Math. 67, 243--261 (2013; Zbl 1271.65016) Full Text: DOI
Xu, Da The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability. (English) Zbl 1266.65212 Sci. China, Math. 56, No. 2, 395-424 (2013). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{D. Xu}, Sci. China, Math. 56, No. 2, 395--424 (2013; Zbl 1266.65212) Full Text: DOI