Aristoff, David; Bangerth, Wolfgang A Benchmark for the Bayesian inversion of coefficients in partial differential equations. (English) Zbl 07771545 SIAM Rev. 65, No. 4, 1074-1105 (2023). Reviewer: Weizhong Dai (Ruston) MSC: 65N21 65N20 62F15 65C40 65C05 65N30 65N50 35R30 35R25 74G75 PDFBibTeX XMLCite \textit{D. Aristoff} and \textit{W. Bangerth}, SIAM Rev. 65, No. 4, 1074--1105 (2023; Zbl 07771545) Full Text: DOI arXiv
Aimi, Alessandra; Di Credico, Giulia; Gimperlein, Heiko; Stephan, Ernst P. Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions. (English) Zbl 1527.65091 Numer. Math. 154, No. 1-2, 35-101 (2023). Reviewer: Weizhong Dai (Ruston) MSC: 65M38 65M15 65M12 74S15 35L67 41A25 PDFBibTeX XMLCite \textit{A. Aimi} et al., Numer. Math. 154, No. 1--2, 35--101 (2023; Zbl 1527.65091) Full Text: DOI arXiv
Coco, Armando; Ekström, Sven-Erik; Russo, Giovanni; Serra-Capizzano, Stefano; Stissi, Santina Chiara Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators. (English) Zbl 1512.65242 Linear Algebra Appl. 667, 10-43 (2023). Reviewer: Weizhong Dai (Ruston) MSC: 65N06 65N12 65N15 15B05 35J25 PDFBibTeX XMLCite \textit{A. Coco} et al., Linear Algebra Appl. 667, 10--43 (2023; Zbl 1512.65242) Full Text: DOI arXiv
Jiang, Chaolong; Qian, Xu; Song, Songhe; Cui, Jin Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation. (English) Zbl 1487.65166 Appl. Numer. Math. 174, 89-111 (2022). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 65N35 65L06 65P10 65M12 37M15 35Q53 PDFBibTeX XMLCite \textit{C. Jiang} et al., Appl. Numer. Math. 174, 89--111 (2022; Zbl 1487.65166) Full Text: DOI arXiv
Wu, Kailiang Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics. (English) Zbl 1500.65073 SIAM J. Sci. Comput. 43, No. 6, B1164-B1197 (2021). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M08 65M06 65L06 65N30 65N35 65D32 49M41 65M12 35L65 35L60 76Y05 PDFBibTeX XMLCite \textit{K. Wu}, SIAM J. Sci. Comput. 43, No. 6, B1164--B1197 (2021; Zbl 1500.65073) Full Text: DOI arXiv
Akrivis, Georgios; Chen, Minghua; Yu, Fan; Zhou, Zhi The energy technique for the six-step BDF method. (English) Zbl 1483.65153 SIAM J. Numer. Anal. 59, No. 5, 2449-2472 (2021). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M20 65L06 65M12 PDFBibTeX XMLCite \textit{G. Akrivis} et al., SIAM J. Numer. Anal. 59, No. 5, 2449--2472 (2021; Zbl 1483.65153) Full Text: DOI arXiv
Yan, Rian; Ma, Qiang; Ding, Xiaohua Convergence analysis of the hp-version spectral collocation method for a class of nonlinear variable-order fractional differential equations. (English) Zbl 1505.65278 Appl. Numer. Math. 170, 269-297 (2021). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M12 65M15 35D30 35A01 35A02 34A08 65L60 26A33 35R11 PDFBibTeX XMLCite \textit{R. Yan} et al., Appl. Numer. Math. 170, 269--297 (2021; Zbl 1505.65278) Full Text: DOI
Luo, Dongmi; Qiu, Jianxian; Zhu, Jun; Chen, Yibing A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. (English) Zbl 1476.65244 J. Sci. Comput. 87, No. 3, Paper No. 96, 32 p. (2021). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65N30 65L06 76P05 76N15 76T30 35L65 82C40 35Q35 PDFBibTeX XMLCite \textit{D. Luo} et al., J. Sci. Comput. 87, No. 3, Paper No. 96, 32 p. (2021; Zbl 1476.65244) Full Text: DOI arXiv
Pichard, Teddy; Brull, Stéphane; Dubroca, Bruno A numerical approach for a system of transport equations in the field of radiotherapy. (English) Zbl 1518.65121 Commun. Comput. Phys. 25, No. 4, 1097-1126 (2019). Reviewer: Weizhong Dai (Ruston) MSC: 65N06 65D30 65K10 65N22 35A35 35L65 82C40 78A35 35Q49 92C50 92-08 35Q92 PDFBibTeX XMLCite \textit{T. Pichard} et al., Commun. Comput. Phys. 25, No. 4, 1097--1126 (2019; Zbl 1518.65121) Full Text: DOI
Badenjki, Abdulatif; Warnecke, Gerald Theoretical and numerical studies of the \(P_NP_M\) DG schemes in one space dimension. (English) Zbl 1524.65511 Appl. Math., Praha 64, No. 6, 599-635 (2019). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M12 33C45 65M06 65N30 65K10 PDFBibTeX XMLCite \textit{A. Badenjki} and \textit{G. Warnecke}, Appl. Math., Praha 64, No. 6, 599--635 (2019; Zbl 1524.65511) Full Text: DOI
Ray, Santanu Saha A new numerical approach for single rational soliton solution of Chen-Lee-Liu equation with Riesz fractional derivative in optical fibers. (English) Zbl 1472.65130 Math. Methods Appl. Sci. 42, No. 1, 99-114 (2019). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 35R11 78A60 35Q55 26A33 35E15 PDFBibTeX XMLCite \textit{S. S. Ray}, Math. Methods Appl. Sci. 42, No. 1, 99--114 (2019; Zbl 1472.65130) Full Text: DOI
Liao, Hong-lin; McLean, William; Zhang, Jiwei A discrete Grönwall inequality with applications to numerical schemes for subdiffusion problems. (English) Zbl 1414.65008 SIAM J. Numer. Anal. 57, No. 1, 218-237 (2019). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 35B65 35R11 35K57 PDFBibTeX XMLCite \textit{H.-l. Liao} et al., SIAM J. Numer. Anal. 57, No. 1, 218--237 (2019; Zbl 1414.65008) Full Text: DOI arXiv
Nojavan, Hananeh; Abbasbandy, Saeid; Allahviranloo, Tofigh Variable shape parameter strategy in local radial basis functions collocation method for solving the 2D nonlinear coupled Burgers’ equations. (English) Zbl 1408.65075 Mathematics 5, No. 3, Paper No. 38, 21 p. (2017). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65L05 35Q53 76D33 35Q35 PDFBibTeX XMLCite \textit{H. Nojavan} et al., Mathematics 5, No. 3, Paper No. 38, 21 p. (2017; Zbl 1408.65075) Full Text: DOI
Ern, Alexandre; Schieweck, Friedhelm Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs. (English) Zbl 1416.65348 Math. Comput. 85, No. 301, 2099-2129 (2016). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{A. Ern} and \textit{F. Schieweck}, Math. Comput. 85, No. 301, 2099--2129 (2016; Zbl 1416.65348) Full Text: DOI HAL
Liu, Hailiang; Ploymaklam, Nattapol A local discontinuous Galerkin method for the Burgers-Poisson equation. (English) Zbl 1339.65177 Numer. Math. 129, No. 2, 321-351 (2015). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M12 35Q53 PDFBibTeX XMLCite \textit{H. Liu} and \textit{N. Ploymaklam}, Numer. Math. 129, No. 2, 321--351 (2015; Zbl 1339.65177) Full Text: DOI
Liu, Hailiang; Yu, Hui Maximum-principle-satisfying third order discontinuous Galerkin schemes for Fokker-Planck equations. (English) Zbl 1341.65038 SIAM J. Sci. Comput. 36, No. 5, A2296-A2325 (2014). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M06 65M12 35Q84 35B50 82D60 PDFBibTeX XMLCite \textit{H. Liu} and \textit{H. Yu}, SIAM J. Sci. Comput. 36, No. 5, A2296--A2325 (2014; Zbl 1341.65038) Full Text: DOI
Liao, Hong-Lin; Zhang, Ya-Nan; Zhao, Ying; Shi, Han-Sheng Stability and convergence of modified Du Fort-Frankel schemes for solving time-fractional subdiffusion equations. (English) Zbl 1339.65150 J. Sci. Comput. 61, No. 3, 629-648 (2014). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M06 35K20 35R11 PDFBibTeX XMLCite \textit{H.-L. Liao} et al., J. Sci. Comput. 61, No. 3, 629--648 (2014; Zbl 1339.65150) Full Text: DOI
Li, Qiaoluan H.; Wang, Junping Weak Galerkin finite element methods for parabolic equations. (English) Zbl 1307.65133 Numer. Methods Partial Differ. Equations 29, No. 6, 2004-2024 (2013). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M15 35K20 PDFBibTeX XMLCite \textit{Q. H. Li} and \textit{J. Wang}, Numer. Methods Partial Differ. Equations 29, No. 6, 2004--2024 (2013; Zbl 1307.65133) Full Text: DOI arXiv
Li, Xianping; Huang, Weizhang Maximum principle for the finite element solution of time-dependent anisotropic diffusion problems. (English) Zbl 1307.65134 Numer. Methods Partial Differ. Equations 29, No. 6, 1963-1985 (2013). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M12 35K20 35B50 65M06 PDFBibTeX XMLCite \textit{X. Li} and \textit{W. Huang}, Numer. Methods Partial Differ. Equations 29, No. 6, 1963--1985 (2013; Zbl 1307.65134) Full Text: DOI arXiv
Asadzadeh, M.; Rostamy, D.; Zabihi, F. Discontinuous Galerkin and multiscale variational schemes for a coupled damped nonlinear system of Schrödinger equations. (English) Zbl 1307.65129 Numer. Methods Partial Differ. Equations 29, No. 6, 1912-1945 (2013). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{M. Asadzadeh} et al., Numer. Methods Partial Differ. Equations 29, No. 6, 1912--1945 (2013; Zbl 1307.65129) Full Text: DOI
Monegato, G.; Scuderi, L. Potential evaluation in space-time BIE formulations of 2D wave equation problems. (English) Zbl 1416.65318 J. Comput. Appl. Math. 243, 60-79 (2013). Reviewer: Weizhong Dai (Ruston) MSC: 65M38 35L05 65D32 PDFBibTeX XMLCite \textit{G. Monegato} and \textit{L. Scuderi}, J. Comput. Appl. Math. 243, 60--79 (2013; Zbl 1416.65318) Full Text: DOI
Dratman, Ezequiel Efficient approximation of the solution of certain nonlinear reaction-diffusion equations with large absorption. (English) Zbl 1260.65070 J. Comput. Appl. Math. 238, 180-202 (2013). Reviewer: Weizhong Dai (Ruston) MSC: 65L12 65H10 65L10 65H20 65Y20 34B15 PDFBibTeX XMLCite \textit{E. Dratman}, J. Comput. Appl. Math. 238, 180--202 (2013; Zbl 1260.65070) Full Text: DOI arXiv
McLean, William Fast summation by interval clustering for an evolution equation with memory. (English) Zbl 1276.65059 SIAM J. Sci. Comput. 34, No. 6, A3039-A3056 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65Y20 65M12 35K20 35R11 PDFBibTeX XMLCite \textit{W. McLean}, SIAM J. Sci. Comput. 34, No. 6, A3039--A3056 (2012; Zbl 1276.65059) Full Text: DOI arXiv
März, Thomas; MacDonald, Colin B. Calculus on surfaces with general closest point functions. (English) Zbl 1276.65052 SIAM J. Numer. Anal. 50, No. 6, 3303-3328 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 57R40 58J05 PDFBibTeX XMLCite \textit{T. März} and \textit{C. B. MacDonald}, SIAM J. Numer. Anal. 50, No. 6, 3303--3328 (2012; Zbl 1276.65052) Full Text: DOI arXiv
Yang, Yang; Shu, Chi-Wang Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations. (English) Zbl 1276.65055 SIAM J. Numer. Anal. 50, No. 6, 3110-3133 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M60 65M15 35L65 35L04 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{C.-W. Shu}, SIAM J. Numer. Anal. 50, No. 6, 3110--3133 (2012; Zbl 1276.65055) Full Text: DOI
Bespalov, Alexei; Heuer, Norbert Natural \(hp\)-BEM for the electric field integral equation with singular solutions. (English) Zbl 1260.65106 Numer. Methods Partial Differ. Equations 28, No. 5, 1466-1480 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65N38 78M15 PDFBibTeX XMLCite \textit{A. Bespalov} and \textit{N. Heuer}, Numer. Methods Partial Differ. Equations 28, No. 5, 1466--1480 (2012; Zbl 1260.65106) Full Text: DOI arXiv
Cockburn, Bernardo; Zhang, Wujun A posteriori error estimates for HDG methods. (English) Zbl 1260.65099 J. Sci. Comput. 51, No. 3, 582-607 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{W. Zhang}, J. Sci. Comput. 51, No. 3, 582--607 (2012; Zbl 1260.65099) Full Text: DOI
Vabishchevich, Petr N. On a new class of additive (splitting) operator-difference schemes. (English) Zbl 1251.65125 Math. Comput. 81, No. 277, 267-276 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35K45 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Math. Comput. 81, No. 277, 267--276 (2012; Zbl 1251.65125) Full Text: DOI arXiv
Chabaud, Brandon; Cockburn, Bernardo Uniform-in-time superconvergence of HDG methods for the heat equation. (English) Zbl 1251.65138 Math. Comput. 81, No. 277, 107-129 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 35K05 65M12 65M15 PDFBibTeX XMLCite \textit{B. Chabaud} and \textit{B. Cockburn}, Math. Comput. 81, No. 277, 107--129 (2012; Zbl 1251.65138) Full Text: DOI
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. Some error estimates for the lumped mass finite element method for a parabolic problem. (English) Zbl 1251.65129 Math. Comput. 81, No. 277, 1-20 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M60 65M20 35K05 65M06 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} et al., Math. Comput. 81, No. 277, 1--20 (2012; Zbl 1251.65129) Full Text: DOI
Zhanlav, T.; Khongorzul, D. The method of successive approximations for exact solutions of Laplace equation and of heat-like and wave-like equations with variable coefficients. (English) Zbl 1260.65109 Mong. Math. J. 15, 67-75 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65N99 65M99 35J05 35K05 35L05 PDFBibTeX XMLCite \textit{T. Zhanlav} and \textit{D. Khongorzul}, Mong. Math. J. 15, 67--75 (2011; Zbl 1260.65109)
Zhang, Yanan; Sun, Zhizhong; Wu, Hongwei Error estimates of Crank-Nicolson-type difference schemes for the subdiffusion equation. (English) Zbl 1251.65132 SIAM J. Numer. Anal. 49, No. 6, 2302-2322 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M06 65M12 35R11 35K05 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Numer. Anal. 49, No. 6, 2302--2322 (2011; Zbl 1251.65132) Full Text: DOI
Deng, Weihua; Li, Can Finite difference methods and their physical constraints for the fractional Klein-Kramers equation. (English) Zbl 1233.65052 Numer. Methods Partial Differ. Equations 27, No. 6, 1561-1583 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35Q35 35R11 PDFBibTeX XMLCite \textit{W. Deng} and \textit{C. Li}, Numer. Methods Partial Differ. Equations 27, No. 6, 1561--1583 (2011; Zbl 1233.65052) Full Text: DOI
Wang, Tingchun; Guo, Boling Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation. (English) Zbl 1233.65062 Numer. Methods Partial Differ. Equations 27, No. 5, 1340-1363 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 35Q56 65M12 PDFBibTeX XMLCite \textit{T. Wang} and \textit{B. Guo}, Numer. Methods Partial Differ. Equations 27, No. 5, 1340--1363 (2011; Zbl 1233.65062) Full Text: DOI
Geiser, Jürgen Iterative operator-splitting methods for nonlinear differential equations and applications. (English) Zbl 1233.65055 Numer. Methods Partial Differ. Equations 27, No. 5, 1026-1054 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 35K57 65M12 PDFBibTeX XMLCite \textit{J. Geiser}, Numer. Methods Partial Differ. Equations 27, No. 5, 1026--1054 (2011; Zbl 1233.65055) Full Text: DOI
Arnăutu, Viorel; Moşneagu, Ana-Maria Numerical locking problems for parabolic equations. (English) Zbl 1234.65036 Numer. Funct. Anal. Optim. 32, No. 9, 927-945 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M06 74S05 74S20 74K10 35K20 65M12 PDFBibTeX XMLCite \textit{V. Arnăutu} and \textit{A.-M. Moşneagu}, Numer. Funct. Anal. Optim. 32, No. 9, 927--945 (2011; Zbl 1234.65036) 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
Guo, Hui Analysis of split weighted least-squares procedures for pseudo-hyperbolic equations. (English) Zbl 1225.65095 Appl. Math. Comput. 217, No. 8, 4109-4121 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 35L82 65M15 PDFBibTeX XMLCite \textit{H. Guo}, Appl. Math. Comput. 217, No. 8, 4109--4121 (2010; Zbl 1225.65095) Full Text: DOI
Cao, Li-qun; Luo, Jian-lan; Wang, Chong-yu Multiscale analysis and numerical algorithm for the Schrödinger equations in heterogeneous media. (English) Zbl 1225.65093 Appl. Math. Comput. 217, No. 8, 3955-3973 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 35Q55 82D37 65M12 PDFBibTeX XMLCite \textit{L.-q. Cao} et al., Appl. Math. Comput. 217, No. 8, 3955--3973 (2010; Zbl 1225.65093) Full Text: DOI
Canuto, Claudio; Gervasio, Paola; Quarteroni, Alfio Finite-element preconditioning of G-NI spectral methods. (English) Zbl 1223.65089 SIAM J. Sci. Comput. 31, No. 6, 4422-4451 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 65N30 65N35 65F08 65F10 35J05 65Y20 PDFBibTeX XMLCite \textit{C. Canuto} et al., SIAM J. Sci. Comput. 31, No. 6, 4422--4451 (2010; Zbl 1223.65089) Full Text: DOI Link
Zhang, Liming; Deng, Ali; Wang, Minghong; Yang, Shaoqing Numerical study of a novel MFIE formulation using monopolar RWG basis functions. (English) Zbl 1222.78009 Comput. Phys. Commun. 181, No. 1, 52-60 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 78A25 78A45 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Phys. Commun. 181, No. 1, 52--60 (2010; Zbl 1222.78009) Full Text: DOI
Mishra, Siddhartha; Svärd, Magnus On stability of numerical schemes via frozen coefficients and the magnetic induction equations. (English) Zbl 1205.65248 BIT 50, No. 1, 85-108 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M06 35L53 78M20 PDFBibTeX XMLCite \textit{S. Mishra} and \textit{M. Svärd}, BIT 50, No. 1, 85--108 (2010; Zbl 1205.65248) Full Text: DOI
Nicaise, Serge; Valein, Julie Quasi exponential decay of a finite difference space discretization of the 1-d wave equation by pointwise interior stabilization. (English) Zbl 1208.65131 Adv. Comput. Math. 32, No. 3, 303-334 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35L05 PDFBibTeX XMLCite \textit{S. Nicaise} and \textit{J. Valein}, Adv. Comput. Math. 32, No. 3, 303--334 (2010; Zbl 1208.65131) Full Text: DOI
Kuzhuget, Andrey V.; Klibanov, Michael V. Global convergence for a 1-D inverse problem with application to imaging of land mines. (English) Zbl 1205.65258 Appl. Anal. 89, No. 1, 125-157 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 65M32 65M12 35L20 35R60 86A30 PDFBibTeX XMLCite \textit{A. V. Kuzhuget} and \textit{M. V. Klibanov}, Appl. Anal. 89, No. 1, 125--157 (2010; Zbl 1205.65258) Full Text: DOI
Burkard, Corinna; Potthast, Roland A time-domain probe method for three-dimensional rough surface reconstructions. (English) Zbl 1209.65092 Inverse Probl. Imaging 3, No. 2, 259-274 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 65M32 45Q05 34L25 PDFBibTeX XMLCite \textit{C. Burkard} and \textit{R. Potthast}, Inverse Probl. Imaging 3, No. 2, 259--274 (2009; Zbl 1209.65092) Full Text: DOI
Cheng, Wei; Fu, Chu-Li A spectral method for an axisymmetric backward heat equation. (English) Zbl 1186.65130 Inverse Probl. Sci. Eng. 17, No. 8, 1085-1093 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 65M32 35R25 35R30 65M30 65M70 35K05 65M15 PDFBibTeX XMLCite \textit{W. Cheng} and \textit{C.-L. Fu}, Inverse Probl. Sci. Eng. 17, No. 8, 1085--1093 (2009; Zbl 1186.65130) Full Text: DOI
Szafrańska, Anna Numerical methods for systems of nonlinear differential functional equations. (English) Zbl 1186.65118 Neural Parallel Sci. Comput. 17, No. 1, 17-30 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 35R10 65M12 65M15 PDFBibTeX XMLCite \textit{A. Szafrańska}, Neural Parallel Sci. Comput. 17, No. 1, 17--30 (2009; Zbl 1186.65118)
Berikelashvili, G.; Jokhadze, O.; Kharibegashvili, S.; Midodashvili, B. Finite-difference method of solving the Darboux problem for the nonlinear Klein-Gordon equation. (English) Zbl 1186.65111 Mem. Differ. Equ. Math. Phys. 47, 123-132 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 35L70 65M12 PDFBibTeX XMLCite \textit{G. Berikelashvili} et al., Mem. Differ. Equ. Math. Phys. 47, 123--132 (2009; Zbl 1186.65111)
Liu, Yang; Li, Hong \(H^1\)-Galerkin mixed finite element methods for pseudo-hyperbolic equations. (English) Zbl 1178.65119 Appl. Math. Comput. 212, No. 2, 446-457 (2009); corrigendum ibid. 218, No. 19, 10008 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M15 35L82 65M20 65M12 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{H. Li}, Appl. Math. Comput. 212, No. 2, 446--457 (2009; Zbl 1178.65119) Full Text: DOI
Li, Zhitao Convergence analysis of an upwind mixed element method for advection diffusion problems. (English) Zbl 1178.65131 Appl. Math. Comput. 212, No. 2, 318-326 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Z. Li}, Appl. Math. Comput. 212, No. 2, 318--326 (2009; Zbl 1178.65131) Full Text: DOI
Shi, Dongyang; Liang, Hui Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes. (English) Zbl 1178.65132 Appl. Math. Comput. 212, No. 1, 257-269 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Liang}, Appl. Math. Comput. 212, No. 1, 257--269 (2009; Zbl 1178.65132) Full Text: DOI
Dubach, Eric; Luce, Robert; Thomas, Jean-Marie Pseudo-conform polynomial Lagrange finite elements on quadrilaterals and hexahedra. (English) Zbl 1166.65058 Commun. Pure Appl. Anal. 8, No. 1, 237-254 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{E. Dubach} et al., Commun. Pure Appl. Anal. 8, No. 1, 237--254 (2009; Zbl 1166.65058) Full Text: DOI
Wang, Kaixin A uniform optimal-order estimate for an Eulerian-Lagrangian discontinuous Galerkin method for transient advection-diffusion equations. (English) Zbl 1166.65047 Numer. Methods Partial Differ. Equations 25, No. 1, 87-109 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M60 35K15 PDFBibTeX XMLCite \textit{K. Wang}, Numer. Methods Partial Differ. Equations 25, No. 1, 87--109 (2009; Zbl 1166.65047) Full Text: DOI
Hamelinck, Wouter On the influence of numerical integration on mixed finite element approximations of a Maxwell eigenvalue problem. (English) Zbl 1168.78005 J. Comput. Appl. Math. 223, No. 2, 929-937 (2009). Reviewer: Weizhong Dai (Ruston) MSC: 78M10 78M25 65M60 35P05 65D32 PDFBibTeX XMLCite \textit{W. Hamelinck}, J. Comput. Appl. Math. 223, No. 2, 929--937 (2009; Zbl 1168.78005) Full Text: DOI
Cockburn, Bernardo; Guzmán, Johnny Error estimates for the Runge – Kutta discontinuous Galerkin method for the transport equation with discontinuous initial data. (English) Zbl 1178.65107 SIAM J. Numer. Anal. 46, No. 3, 1364-1398 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M60 35L60 35R05 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{J. Guzmán}, SIAM J. Numer. Anal. 46, No. 3, 1364--1398 (2008; Zbl 1178.65107) Full Text: DOI
Macías-Díaz, Jorge Eduardo On the bifurcation of energy in media governed by \((2+1)\)-dimensional modified Klein-Gordon equations. (English) Zbl 1166.65043 Appl. Math. Comput. 206, No. 1, 221-235 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz}, Appl. Math. Comput. 206, No. 1, 221--235 (2008; Zbl 1166.65043) Full Text: DOI
Hu, Bing; Xu, Youcai; Hu, Jinsong Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation. (English) Zbl 1166.65041 Appl. Math. Comput. 204, No. 1, 311-316 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{B. Hu} et al., Appl. Math. Comput. 204, No. 1, 311--316 (2008; Zbl 1166.65041) Full Text: DOI
Christou, M. A.; Sophocleous, C.; Christov, C. I. Numerical investigation of the nonlinear heat diffusion equation with high nonlinearity on the boundary. (English) Zbl 1156.65075 Appl. Math. Comput. 201, No. 1-2, 729-738 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 35K55 PDFBibTeX XMLCite \textit{M. A. Christou} et al., Appl. Math. Comput. 201, No. 1--2, 729--738 (2008; Zbl 1156.65075) Full Text: DOI
Omrani, Khaled; Abidi, Faycal; Achouri, Talha; Khiari, Noomen A new conservative finite difference scheme for the Rosenau equation. (English) Zbl 1156.65078 Appl. Math. Comput. 201, No. 1-2, 35-43 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{K. Omrani} et al., Appl. Math. Comput. 201, No. 1--2, 35--43 (2008; Zbl 1156.65078) Full Text: DOI
Malek, Alaeddin; Momeni-Masuleh, Sayed Hodjatollah A mixed collocation-finite difference method for 3D microscopic heat transport problems. (English) Zbl 1148.65082 J. Comput. Appl. Math. 217, No. 1, 137-147 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 35K55 65M12 PDFBibTeX XMLCite \textit{A. Malek} and \textit{S. H. Momeni-Masuleh}, J. Comput. Appl. Math. 217, No. 1, 137--147 (2008; Zbl 1148.65082) Full Text: DOI
Sun, Tongjun; Yang, Danping A priori error estimates for interior penalty discontinuous Galerkin method applied to nonlinear Sobolev equations. (English) Zbl 1148.65069 Appl. Math. Comput. 200, No. 1, 147-159 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M60 35Q35 65M20 PDFBibTeX XMLCite \textit{T. Sun} and \textit{D. Yang}, Appl. Math. Comput. 200, No. 1, 147--159 (2008; Zbl 1148.65069) Full Text: DOI
Javadian, A. D. A fast solving method for elliptic problems in domains with re-entrant corners. (English) Zbl 1142.65092 Russ. J. Numer. Anal. Math. Model. 23, No. 1, 21-37 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{A. D. Javadian}, Russ. J. Numer. Anal. Math. Model. 23, No. 1, 21--37 (2008; Zbl 1142.65092) Full Text: DOI
Aitbayev, Rakhim A quadrature finite element Galerkin scheme for a biharmonic problem on a rectangular polygon. (English) Zbl 1142.65090 Numer. Methods Partial Differ. Equations 24, No. 2, 518-534 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65N30 35J40 65N15 65D32 41A55 PDFBibTeX XMLCite \textit{R. Aitbayev}, Numer. Methods Partial Differ. Equations 24, No. 2, 518--534 (2008; Zbl 1142.65090) Full Text: DOI
Yuan, Ling; Shu, Chi-Wang Discontinuous Galerkin method for a class of elliptic multi-scale problems. (English) Zbl 1142.65095 Int. J. Numer. Methods Fluids 56, No. 8, 1017-1032 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65N30 35J25 65N55 65N12 65N15 65Y20 PDFBibTeX XMLCite \textit{L. Yuan} and \textit{C.-W. Shu}, Int. J. Numer. Methods Fluids 56, No. 8, 1017--1032 (2008; Zbl 1142.65095) Full Text: DOI
Larson, Mats G.; Målqvist, Axel A posteriori error estimates for mixed finite element approximations of elliptic problems. (English) Zbl 1136.65101 Numer. Math. 108, No. 3, 487-500 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65N15 65N30 65N12 35J05 PDFBibTeX XMLCite \textit{M. G. Larson} and \textit{A. Målqvist}, Numer. Math. 108, No. 3, 487--500 (2008; Zbl 1136.65101) Full Text: DOI
Kaushik, Aditya; Sharma, M. D. A uniformly convergent numerical method on non-uniform mesh for singularly perturbed unsteady Burgers-Huxley equation. (English) Zbl 1136.65085 Appl. Math. Comput. 195, No. 2, 688-706 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M06 35Q53 65M20 35B25 PDFBibTeX XMLCite \textit{A. Kaushik} and \textit{M. D. Sharma}, Appl. Math. Comput. 195, No. 2, 688--706 (2008; Zbl 1136.65085) Full Text: DOI
Agouzal, Abdellatif A posteriori error estimators for nonconforming approximation. (English) Zbl 1136.65099 Int. J. Numer. Anal. Model. 5, No. 1, 77-85 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{A. Agouzal}, Int. J. Numer. Anal. Model. 5, No. 1, 77--85 (2008; Zbl 1136.65099)
Aouadi, Moncef Hybrid Laplace transform-finite element method to a generalized electromagneto-thermoelastic problem. (English) Zbl 1183.80104 Appl. Math. Modelling 31, No. 4, 712-726 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 80M10 78M10 PDFBibTeX XMLCite \textit{M. Aouadi}, Appl. Math. Modelling 31, No. 4, 712--726 (2007; Zbl 1183.80104) Full Text: DOI
El-Azab, M. S. The solution of doubly nonlinear parabolic problems by linearization. (English) Zbl 1156.65082 Int. J. Sci. Comput. 1, No. 2, 145-160 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M20 65M12 65M60 35K55 35K65 65M15 PDFBibTeX XMLCite \textit{M. S. El-Azab}, Int. J. Sci. Comput. 1, No. 2, 145--160 (2007; Zbl 1156.65082)
Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; Parés, Carlos On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems. (English) Zbl 1148.65065 SIAM J. Sci. Comput. 29, No. 3, 1093-1126 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 76M12 35L70 76B15 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} et al., SIAM J. Sci. Comput. 29, No. 3, 1093--1126 (2007; Zbl 1148.65065) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert On the variational approximation of combined second and fourth order geometric evolution equations. (English) Zbl 1148.65074 SIAM J. Sci. Comput. 29, No. 3, 1006-1041 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M12 35K55 53C44 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., SIAM J. Sci. Comput. 29, No. 3, 1006--1041 (2007; Zbl 1148.65074) Full Text: DOI Link
Karátson, János; Korotov, Sergey; Křížek, Michal On discrete maximum principles for nonlinear elliptic problems. (English) Zbl 1142.65093 Math. Comput. Simul. 76, No. 1-3, 99-108 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65N30 65N15 65N50 35B50 35J65 PDFBibTeX XMLCite \textit{J. Karátson} et al., Math. Comput. Simul. 76, No. 1--3, 99--108 (2007; Zbl 1142.65093) Full Text: DOI
Ashyralyev, Allaberen; Koksal, Mehmet Emir Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space. (English) Zbl 1156.65079 Discrete Dyn. Nat. Soc. 2007, Article ID 57491, 25 p. (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 35L15 35L90 65M06 PDFBibTeX XMLCite \textit{A. Ashyralyev} and \textit{M. E. Koksal}, Discrete Dyn. Nat. Soc. 2007, Article ID 57491, 25 p. (2007; Zbl 1156.65079) Full Text: DOI EuDML
Lin, Tao; Lin, Yanping; Sun, Weiwei Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems. (English) Zbl 1136.65102 Discrete Contin. Dyn. Syst., Ser. B 7, No. 4, 807-823 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{T. Lin} et al., Discrete Contin. Dyn. Syst., Ser. B 7, No. 4, 807--823 (2007; Zbl 1136.65102) Full Text: DOI
Osipenko, K. Yu.; Wedenskaya, E. V. Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data. (English) Zbl 1132.65088 J. Complexity 23, No. 4-6, 653-661 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M32 35K05 35R30 PDFBibTeX XMLCite \textit{K. Yu. Osipenko} and \textit{E. V. Wedenskaya}, J. Complexity 23, No. 4--6, 653--661 (2007; Zbl 1132.65088) Full Text: DOI
Zhang, Zhiyue; Deng, Dingwen A new alternating-direction finite element method for hyperbolic equation. (English) Zbl 1132.65094 Numer. Methods Partial Differ. Equations 23, No. 6, 1530-1559 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 35L70 65M06 65H10 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{D. Deng}, Numer. Methods Partial Differ. Equations 23, No. 6, 1530--1559 (2007; Zbl 1132.65094) Full Text: DOI
Zhao, Jennifer; Dai, Weizhong; Niu, Tianchan Fourth-order compact schemes of a heat conduction problem with Neumann boundary conditions. (English) Zbl 1132.65083 Numer. Methods Partial Differ. Equations 23, No. 5, 949-959 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35K05 PDFBibTeX XMLCite \textit{J. Zhao} et al., Numer. Methods Partial Differ. Equations 23, No. 5, 949--959 (2007; Zbl 1132.65083) Full Text: DOI Link
de Gersem, Herbert; Benderskaya, Galina; Weiland, Thomas Transient field-circuit coupled models with switching elements for the simulation of electric energy transducers. (English) Zbl 1138.78004 Ciuprina, Gabriela (ed.) et al., Scientific computing in electrical engineering SCEE 2006. Selected papers based on the presentations at the 6th international conference, Sinaia, Romania, September 17–22, 2006. Berlin: Springer (ISBN 978-3-540-71979-3/hbk). Mathematics in Industry 11, 25-39 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 78A30 78M25 65L06 PDFBibTeX XMLCite \textit{H. de Gersem} et al., Math. Ind. 11, 25--39 (2007; Zbl 1138.78004) Full Text: DOI
Adjerid, Slimane; Baccouch, Mahboub The discontinuous Galerkin method for two-dimensional hyperbolic problems. I: Superconvergence error analysis. (English) Zbl 1129.65057 J. Sci. Comput. 33, No. 1, 75-113 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M60 65M15 35L45 PDFBibTeX XMLCite \textit{S. Adjerid} and \textit{M. Baccouch}, J. Sci. Comput. 33, No. 1, 75--113 (2007; Zbl 1129.65057) Full Text: DOI
Layton, William Superconvergence of finite element discretization of time relaxation models of advection. (English) Zbl 1129.65061 BIT 47, No. 3, 565-576 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M60 65M15 35L45 PDFBibTeX XMLCite \textit{W. Layton}, BIT 47, No. 3, 565--576 (2007; Zbl 1129.65061) Full Text: DOI Link
Liu, Keguang; Qin, Xiaolong A gradient recovery-based a posteriori error estimators for the Ciarlet-Raviart formulation of the second biharmonic equations. (English) Zbl 1129.65076 Appl. Math. Sci., Ruse 1, No. 21-24, 997-1007 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65N15 35J40 65N50 65N30 PDFBibTeX XMLCite \textit{K. Liu} and \textit{X. Qin}, Appl. Math. Sci., Ruse 1, No. 21--24, 997--1007 (2007; Zbl 1129.65076)
Zahran, Yousef Hashem Third order TVD scheme for hyperbolic conservation laws. (English) Zbl 1125.65085 Bull. Belg. Math. Soc. - Simon Stevin 14, No. 2, 259-275 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35L65 76B15 76M20 PDFBibTeX XMLCite \textit{Y. H. Zahran}, Bull. Belg. Math. Soc. - Simon Stevin 14, No. 2, 259--275 (2007; Zbl 1125.65085)
Wang, Ting New techniques for designing a finite difference domain decomposition algorithm for the two- and three-dimensional heat equations. (English) Zbl 1123.65090 Int. J. Comput. Math. 84, No. 7, 989-1002 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M55 35K05 65M12 PDFBibTeX XMLCite \textit{T. Wang}, Int. J. Comput. Math. 84, No. 7, 989--1002 (2007; Zbl 1123.65090) Full Text: DOI
Kropielnicka, K. Difference methods for parabolic functional differential problems of the Neumann type. (English) Zbl 1132.65079 Ann. Pol. Math. 92, No. 2, 163-178 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 35R10 65M12 65M15 35K55 PDFBibTeX XMLCite \textit{K. Kropielnicka}, Ann. Pol. Math. 92, No. 2, 163--178 (2007; Zbl 1132.65079) Full Text: DOI
Gao, Liping; Zhang, Bo; Liang, Dong The splitting finite-difference time-domain methods for Maxwell’s equations in two dimensions. (English) Zbl 1122.78021 J. Comput. Appl. Math. 205, No. 1, 207-230 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 78M20 65N06 65N12 PDFBibTeX XMLCite \textit{L. Gao} et al., J. Comput. Appl. Math. 205, No. 1, 207--230 (2007; Zbl 1122.78021) Full Text: DOI
Sun, Shuyu; Wheeler, M. F. Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems. (English) Zbl 1129.65068 Comput. Math. Appl. 52, No. 5, 637-650 (2006). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 76M10 76S05 76V05 65M15 65M12 35K55 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, Comput. Math. Appl. 52, No. 5, 637--650 (2006; Zbl 1129.65068) Full Text: DOI
Shi, Han-Sheng; Liao, Hong-Lin Unconditional stability of corrected explicit-implicit domain decomposition algorithms for parallel approximation of heat equations. (English) Zbl 1125.65087 SIAM J. Numer. Anal. 44, No. 4, 1584-1611 (2006). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M55 65M06 65Y05 35K05 PDFBibTeX XMLCite \textit{H.-S. Shi} and \textit{H.-L. Liao}, SIAM J. Numer. Anal. 44, No. 4, 1584--1611 (2006; Zbl 1125.65087) Full Text: DOI
Ciarski, R.; Kamont, Z. Generalized Euler method for Hamilton Jacobi differential functional systems. (English) Zbl 1125.65081 J. Numer. Math. 14, No. 4, 267-293 (2006). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35R10 PDFBibTeX XMLCite \textit{R. Ciarski} and \textit{Z. Kamont}, J. Numer. Math. 14, No. 4, 267--293 (2006; Zbl 1125.65081) Full Text: DOI
Boglaev, I. Monotone algorithms for solving nonlinear monotone difference schemes of parabolic type in the canonical form. (English) Zbl 1125.65078 J. Numer. Math. 14, No. 4, 247-266 (2006). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{I. Boglaev}, J. Numer. Math. 14, No. 4, 247--266 (2006; Zbl 1125.65078) Full Text: DOI