International Journal of Numerical Analysis and Modeling Short Title: Int. J. Numer. Anal. Model. Publisher: Institute for Scientific Computing and Information (ISCI), Edmonton, Alberta; Wuhan University, Wuhan ISSN: 1705-5105; 2617-8710/e Online: https://www.global-sci.org/ijnam/periodical_list.html Comments: Indexed cover-to-cover; In 2015 the journal incorporated: Int. J. Numer. Anal. Model., Ser. B (ISSN 1923-2942; 1923-2950/e) Documents Indexed: 780 Publications (since 2004) References Indexed: 192 Publications with 5,142 References. all top 5 Latest Issues 19, No. 2-3 (2022) 19, No. 1 (2022) 18, No. 6 (2021) 18, No. 5 (2021) 18, No. 4 (2021) 18, No. 3 (2021) 18, No. 2 (2021) 18, No. 1 (2021) 17, No. 6 (2020) 17, No. 5 (2020) 17, No. 4 (2020) 17, No. 3 (2020) 17, No. 2 (2020) 17, No. 1 (2020) 16, No. 6 (2019) 16, No. 5 (2019) 16, No. 4 (2019) 16, No. 3 (2019) 16, No. 2 (2019) 16, No. 1 (2019) 15, No. 6 (2018) 15, No. 4-5 (2018) 15, No. 3 (2018) 15, No. 1-2 (2018) 14, No. 6 (2017) 14, No. 4-5 (2017) 14, No. 3 (2017) 14, No. 2 (2017) 14, No. 1 (2017) 13, No. 6 (2016) 13, No. 5 (2016) 13, No. 4 (2016) 13, No. 3 (2016) 13, No. 2 (2016) 13, No. 1 (2016) 12, No. 4 (2015) 12, No. 3 (2015) 12, No. 2 (2015) 12, No. 1 (2015) 11, No. 4 (2014) 11, No. 3 (2014) 11, No. 2 (2014) 11, No. 1 (2014) 10, No. 4 (2013) 10, No. 3 (2013) 10, No. 2 (2013) 10, No. 1 (2013) 9, No. 4 (2012) 9, No. 3 (2012) 9, No. 2 (2012) 9, No. 1 (2012) 8, No. 4 (2011) 8, No. 3 (2011) 8, No. 2 (2011) 8, No. 1 (2011) 7, No. 4 (2010) 7, No. 3 (2010) 7, No. 2 (2010) 7, No. 1 (2010) 6, No. 4 (2009) 6, No. 3 (2009) 6, No. 2 (2009) 6, No. 1 (2009) 5, No. 4 (2008) 5, No. 3 (2008) 5, No. 2 (2008) 5, No. 1 (2008) 5, Suppl. (2008) 4, No. 3-4 (2007) 4, No. 2 (2007) 4, No. 1 (2007) 3, No. 4 (2006) 3, No. 3 (2006) 3, No. 2 (2006) 3, No. 1 (2006) 2, No. 4 (2005) 2, No. 3 (2005) 2, No. 2 (2005) 2, No. 1 (2005) 1, No. 2 (2004) 1, No. 1 (2004) all top 5 Authors 12 Ye, Xiu 12 Zhang, Zhimin 11 Chen, Zhangxin 11 He, Yinnian 11 Pani, Amiya Kumar 9 Lin, Yanping 9 Wang, Junping 8 Liu, Steve Wenbin 8 Tai, Xuecheng 8 Temam, Roger Meyer 7 Baccouch, Mahboub 7 Cao, Yanzhao 7 Houston, Paul 7 Lin, Tao 7 Schurz, Henri 7 Shu, Chi-Wang 7 Wang, Hong 7 Zhang, Shangyou 7 Zou, Qingsong 6 Gracia, José Luis 6 Li, Zhilin 6 Liang, Dong 6 Wang, Cheng 6 Xie, Hehu 6 Xu, Yuesheng 6 Yan, Ningning 5 Cao, Liqun 5 Chen, Yanping 5 Gunzburger, Max D. 5 Hu, Qiya 5 Huang, Yunqing 5 Ju, Lili 5 Jung, Changyeol 5 Layton, William J. 5 Lee, Hyesuk Kwon 5 Peszyńska, Małgorzata 5 Shi, Dongyang 5 Wong, Yau Shu 4 Chen, Chuanmiao 4 Chen, Ke 4 Clavero, Carmelo 4 Fernández, Jose Ramon 4 Gaspar, Francisco José 4 Ge, Liang 4 Huang, Qiumei 4 Li, Jian 4 Neda, Monika 4 Nie, Yufeng 4 O’Riordan, Eugene 4 Qiao, Zhonghua 4 Rebholz, Leo G. 4 Sheen, Dongwoo 4 Shi, Zhongci 4 Sun, Tongjun 4 Sun, Weiwei 4 Tveito, Aslak 4 Wang, Kaixin 4 Wang, Kun 4 Yang, Hongtao 4 Yang, Xiaozhong 3 Allegretto, Walter 3 Boglaev, Igor P. 3 Bokil, Vrushali A. 3 Chen, Hongsen 3 Chou, So-Hsiang 3 Chrysafinos, Konstantinos 3 Chung, Tsz Shun Eric 3 Cui, Ming 3 Deng, Jian 3 Deng, Xiaomao 3 Du, Qiang 3 Feng, Xinlong 3 Glowinski, Roland 3 Gong, Wei 3 Hanslien, Monica 3 Iliescu, Traian 3 Kaya, Songul 3 Kopteva, Natalia Viktorovna 3 Kumar, Sarvesh 3 Li, Buyang 3 Li, Jichun 3 Li, Kaitai 3 Linß, Torsten 3 Meddahi, Salim 3 Mei, Ming 3 Miller, John James Henry 3 Mu, Lin 3 Nicaise, Serge 3 Nielsen, Bjørn Fredrik 3 Qin, Guan 3 Risebro, Nils Henrik 3 Rodrigo, Carmen 3 Schneier, Michael 3 Shen, Wanfang 3 Showalter, Ralph E. 3 Shu, Shi 3 Sun, Pengtao 3 Tone, Florentina 3 Tong, Weiqin 3 Vabishchevich, Pëtr Nikolaevich ...and 1,197 more Authors all top 5 Fields 646 Numerical analysis (65-XX) 354 Partial differential equations (35-XX) 174 Fluid mechanics (76-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 57 Probability theory and stochastic processes (60-XX) 52 Mechanics of deformable solids (74-XX) 45 Ordinary differential equations (34-XX) 37 Biology and other natural sciences (92-XX) 28 Optics, electromagnetic theory (78-XX) 19 Geophysics (86-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Computer science (68-XX) 18 Systems theory; control (93-XX) 17 Statistical mechanics, structure of matter (82-XX) 17 Operations research, mathematical programming (90-XX) 16 Information and communication theory, circuits (94-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 7 Operator theory (47-XX) 7 Statistics (62-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 504 Publications have been cited 3,017 times in 2,548 Documents Cited by ▼ Year ▼ Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172Mu, Lin; Wang, Junping; Ye, Xiu 94 2015 Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155He, Xiaoming; Lin, Tao; Lin, Yanping 85 2011 Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Zbl 1281.65122Li, Buyang; Sun, Weiwei 73 2013 Convergence and stability of implicit methods for jump-diffusion systems. Zbl 1109.65007Higham, Desmond J.; Kloeden, Peter E. 58 2006 Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030Hartmann, Ralf; Houston, Paul 45 2006 Error estimates and superconvergence of mixed finite element for quadratic optimal control. Zbl 1125.49026Chen, Yanping; Liu, Wenbin 38 2006 Shishkin meshes in the numerical solution of singularly perturbed differential equations. Zbl 1197.65094Kopteva, Natalia; O’Riordan, Eugene 29 2010 Numerical analysis for a nonlocal Allen-Cahn equation. Zbl 1165.65051Bates, Peter W.; Brown, Sarah; Han, Jianlong 28 2009 A general strategy for numerical approximations of non-equilibrium models. I: Thermodynamical systems. Zbl 1412.65099Zhao, Jia; Yang, Xiaofeng; Gong, Yuezheng; Zhao, Xueping; Yang, Xiaogang; Li, Jun; Wang, Qi 28 2018 Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315Shi, Dongyang; Pei, Lifang 25 2008 Convergence of Rothe scheme for hemivariational inequalities of parabolic type. Zbl 1269.65066Kalita, Piotr 23 2013 Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429Hartmann, Ralf; Houston, Paul 23 2006 An optimal 9-point finite difference scheme for the Helmholtz equation with PML. Zbl 1272.65081Chen, Zhongying; Cheng, Dongsheng; Feng, Wei; Wu, Tingting 22 2013 Numerical analysis of a finite element Crank-Nicolson discretization for MHD flows at small magnetic Reynolds numbers. Zbl 1266.76066Yuksel, Gamze; Ingram, Ross 21 2013 Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085Danumjaya, Palla; Pani, Amiya Kumar 21 2006 A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020Tai, Xue-Cheng; Chan, Tony F. 21 2004 Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361Guo, Ruchi; Lin, Tao; Zhuang, Qiao 20 2019 Superconvergence of tetrahedral linear finite element. Zbl 1100.65084Chen, Long 20 2006 The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations. Zbl 1195.65086Zhou, Zhaojie; Yan, Ningning 19 2010 A fast second-order finite difference method for space-fractional diffusion equations. Zbl 1279.65095Basu, Treena S.; Wang, Hong 19 2012 Finite volume element method for second order hyperbolic equations. Zbl 1134.65069Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K. 19 2008 An \(H^1\)-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K. 19 2004 A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033Li, Wanshan; Liang, Dong; Lin, Yanping 18 2013 Numerical analysis of a higher order time relaxation model of fluids. Zbl 1242.76061Ervin, Vincent J.; Layton, William J.; Neda, Monika 18 2007 Optimal design of the support of the control for the 2-D wave equation: a numerical method. Zbl 1242.49091Münch, Arnaud 17 2008 A numerical approach for solving a class of a singular boundary value problems arising in physiology. Zbl 1211.65097Abukhaled, M.; Khuri, S. A.; Sayfy, A. 17 2011 High degree immersed finite element spaces by a least squares method. Zbl 1429.65291Adjerid, Slimane; Guo, Ruchi; Lin, Tao 16 2017 Interior layers in a reaction-diffusion equation with a discontinuous diffusion coefficient. Zbl 1202.65096de Falco, Carlo; O’Riordan, Eugene 16 2010 A slope limiting procedure in discontinuous Galerkin finite element method for gasdynamics applications. Zbl 1151.76530Tu, Shuangzhang; Aliabadi, Shahrouz 16 2005 A computational scheme for option under jump diffusion processes. Zbl 1159.91402Zhang, Kai; Wang, Song 15 2009 ANOVA expansions and efficient sampling methods for parameter dependent nonlinear PDEs. Zbl 1161.65336Cao, Yanzhao; Chen, Zheng; Gunzburger, Max 15 2009 \(L^\infty\)-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua 15 2005 Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145Zhang, Zhimin 15 2004 A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160Wang, Chunmei; Wang, Junping 14 2015 Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S. 14 2013 Well flow models for various numerical methods. Zbl 1158.76393Chen, Zhangxin; Zhang, Youqian 14 2009 Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030Bramble, James H.; Pasciak, Joseph E. 14 2012 An efficient collocation method for a non-local diffusion model. Zbl 1280.65134Tian, Hao; Wang, Hong; Wang, Wenqia 14 2013 Quintic spline solutions of fourth order boundary-value problems. Zbl 1132.65069Siddiqi, Shahid S.; Akram, Ghazala 14 2008 A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170Xie, Hui; Li, Zhilin; Qiao, Zhonghua 14 2011 Mean square convergence of stochastic \(\theta\)-methods for nonlinear neutral stochastic differential delay equations. Zbl 1215.65014Gan, Siqing; Schurz, Henri; Zhang, Haomin 14 2011 A priori error estimates for semidiscrete finite element approximation to equations of motion arising in Oldroyd fluids of order one. Zbl 1429.76070Goswami, Deepjyoti; Pani, Amiya K. 14 2011 Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers. Zbl 1103.65115Jung, Changyeol; Temam, Roger 14 2005 Stability of the kinematically coupled \(\beta\)-scheme for fluid-structure interaction problems in hemodynamics. Zbl 1332.35281Čanič, Sunčica.; Muha, Boris; Bukac, Martina 13 2015 Error analysis of a finite difference scheme for the epitaxial thin film model with slope selection with an improved convergence constant. Zbl 1371.35143Qiao, Zhonghua; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru 13 2017 Sstability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation. Zbl 1268.65133Chan, Hiu Ning; Chung, Eric T.; Cohen, Gary 13 2013 Convergence of the time-domain perfectly matched layer method for acoustic scattering problems. Zbl 1158.76394Chen, Zhiming 13 2009 Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080Shi, Dongyang; Ren, Jincheng 13 2009 Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059Wang, Junping; Wang, Yanqiu; Ye, Xiu 13 2013 Interval-based reduced order models for unsteady fluid flow. Zbl 1133.37342Borggaard, Jeff; Hay, Alexander; Pelletier, Dominique 13 2007 The multiscale discontinuous Galerkin method for solving a class of second order elliptic problems with rough coefficients. Zbl 1239.65073Wang, Wei; Guzman, Johnny; Shu, Chi-Wang 13 2011 Control of geometry induced error in \(hp\) finite element (FE) simulation. I: Evaluation of FE error for curvilinear geometries. Zbl 1073.65122Xue, Dong; Demkowicz, Leszek 13 2005 Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098Mao, Shipeng; Chen, Shaochun; Shi, Dongyang 13 2007 Stability-preserving finite difference methods for general multi-dimensional autonomous dynamical systems. Zbl 1113.37065Dimitrov, Dobromir T.; Kojouharov, Hristo V. 13 2007 Global superconvergence for optimal control problems governed by Stokes equations. Zbl 1126.49028Liu, Huipo; Yan, Ningning 13 2006 Improved error estimates of a finite difference/spectral method for time-fractional diffusion equations. Zbl 1329.65201Lv, Chunwan; Xu, Chuanju 12 2015 Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G. 12 2016 Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103He, Lianhua; Zhou, Aihui 12 2011 A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093Wang, Junping; Wang, Yanqiu; Ye, Xiu 12 2012 Unconditional convergence of high-order extrapolations of the Crank-Nicolson, finite element method for the Navier-Stokes equations. Zbl 1264.76060Ingram, Ross 12 2013 Equivalent a posteriori error estimates for a constrained optimal control problem governed by parabolic equations. Zbl 1266.65198Sun, Tongjun; Ge, Liang; Liu, Wenbin 12 2013 Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations. Zbl 1130.74046Du, Qiang; Wang, Xiaoqiang 12 2007 Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140Zhang, Zhimin; Lin, Runchang 12 2005 A third order linearized bdfscheme for Maxwell’s equations with nonlinear conductivity using finite element method. Zbl 1383.78044Yao, Changhui; Lin, Yanping; Wang, Cheng; Kou, Yanli 11 2017 Asymptotically exact local discontinuous Galerkin error estimates for the linearized Korteweg-de Vries equation in one space dimension. Zbl 1329.65218Baccouch, Mahboub 11 2015 Global convergence of a posteriori error estimates for the discontinuous Galerkin method for one-dimensional linear hyperbolic problems. Zbl 1310.65118Baccouch, M. 11 2014 Simulating the axisymmetric interfacial flows with insoluble surfactant immersed boundary method. Zbl 1208.76099Lai, Ming-Chih; Huang, Chung-Yin; Huang, Yi-Min 11 2011 Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153Ji, Liangyue; Xu, Yan 11 2011 A priori and a posteriori error estimates for Boussinesq equations. Zbl 1143.76419Allali, Karam 11 2005 Modeling, analysis and discretization of stochastic logistic equations. Zbl 1128.65008Schurz, Henri 11 2007 Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Zbl 1110.65074Chen, Hongsen 11 2006 A piecewise constant level set framework. Zbl 1125.49031Lie, Johan; Lysaker, Marius; Tai, Xuecheng 11 2005 A new finite element for interface problems having Robin type jump. Zbl 1429.65277Kwak, Do Y.; Lee, Seungwoo; Hyon, Yunkyong 10 2017 Weak Galerkin finite element method for second order parabolic equations. Zbl 1362.65110Zhang, Hongqin; Zou, Yongkui; Xu, Yingxiang; Zhai, Qilong; Yue, Hua 10 2016 Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method. Zbl 1263.65125Wu, Chin-Tien; Li, Zhilin; Lai, Ming-Chih 10 2011 Anisotropic \(hp\)-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042Giani, Stefano; Houston, Paul 10 2012 Discontinuous Galerkin method for monotone nonlinear elliptic problems. Zbl 1268.65149Bi, Chunjia; Lin, Yanping 10 2012 On fully discrete finite element schemes for equations of motion of Kelvin-Voigt fluids. Zbl 1264.76056Bajpai, S.; Nataraj, N.; Pani, A. 10 2013 The immersed finite element method for parabolic problems using the Laplace transformation in time discretization. Zbl 1267.65135Lin, Tao; Sheen, Dongwoo 10 2013 Second order uniform approximations for the solution of time dependent singularly perturbed reaction-diffusion systems. Zbl 1214.65044Clavero, Carmelo; Gracia, José Luis; Lisbona, Fransisco 10 2010 Finite volume approximation of two-dimensional stiff problems. Zbl 1194.65127Jung, Chang-Yeol; Temam, Roger 10 2010 A posteriori error estimation for a singularly perturbed problem with two small parameters. Zbl 1197.65099Linss, Torsten 10 2010 Parallel preconditioners for plane wave Helmholtz and Maxwell systems with large wave numbers. Zbl 1360.65285Yuan, Long; Hu, Qiya; An, Hengbin 10 2016 \(L^{\infty}\)-error estimates for general optimal control problem by mixed finite element methods. Zbl 1160.35551Xing, Xiaoqing; Chen, Yanping 10 2008 A note on the construction of function spaces for distributed miscrostructure models with spatially varying cell geometry. Zbl 1172.46016Meier, Sebastian; Böhm, Michael 10 2008 Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052Shen, Lihua; Li, Jian; Chen, Zhangxin 10 2009 A uniformly optimal-order error estimate of an ELLAM scheme for unsteady-state advection-diffusion equations. Zbl 1180.35585Wang, Kaixin 10 2008 Mixed FEM of higher order for contact problems with fiction. Zbl 1330.74180Schroder, Andreas; Blum, Heribert; Rademacher, Andreas; Kleemann, Heiko 10 2011 Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101Mei, Ming; Zhang, Kaijun; Zhang, Qifeng 10 2019 Superconvergence studies of quadrilateral nonconforming rotated \(Q_1\) elements. Zbl 1096.65109Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun 10 2006 A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207Gunzburger, Max; Jiang, Nan; Schneier, Michael 10 2018 Uniform \(L^p\)-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076Yang, Jiang; Du, Qiang; Zhang, Wei 10 2018 Second-order two-scale analysis method for dynamic thermo-mechanical problems in periodic structure. Zbl 1332.35356Yang, Zihao; Cui, Junzhi; Wu, Yatao; Wang, Ziqiang; Wan, Jianjun 9 2015 A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134Antonietti, Paola F.; Houston, Paul; Smears, Iain 9 2016 Jump without tears: a new splitting technology for barrier options. Zbl 1267.91072Itkin, Andrey; Carr, Peter 9 2011 Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems. Zbl 1195.65119Linss, Torsten; Madden, Niall 9 2010 The two-level local projection stablization as an enriched one-level approach, a one-dimensional study. Zbl 1198.65128Tobiska, Lutz; Winkel, Christian 9 2010 An anisotropic nonconforming element for fourth order elliptic singularly perturbed problem. Zbl 1202.65153Chen, Shaochun; Liu, Mingfang; Qiao, Zhonghua 9 2010 On compact high order finite difference schemes for linear Schrödinger problem on non-uniform meshes. Zbl 1310.65094Radziunas, Mindaugas; Čiegis, Raimondas; Mirinavičius, Aleksas 9 2014 Discontinuous Galerkin approximations for distributed optimal control problems constrained by parabolic PDE’s. Zbl 1149.65046Chrysafinos, Konstantinos 9 2007 A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. Zbl 07455342Qin, Yuzhe; Wang, Cheng; Zhang, Zhengru 4 2021 Approximations by MINI mixed finite element for the Stokes-Darcy coupled problem on curved domains. Zbl 1471.74067Armentano, María Gabriela; Stockdale, María Lorena 3 2021 A \(P_2\)-\(P_1\) partially penalized immersed finite element method for Stokes interface problem. Zbl 07377056Chen, Yuan; Zhang, Xu 1 2021 Error estimates for the Laplace interpolation on convex polygons. Zbl 07455338Zhang, Weiwei; Hu, Long; Yang, Zongze; Nie, Yufeng 1 2021 The arbitrary Lagrangian-Eulerian finite element method for a transient Stokes/parabolic interface problem. Zbl 07455339Kesler, Ian; Lan, Rihui; Sun, Pengtao 1 2021 A stochastic gradient descent method for the design of optimal random interface in thin-film solar cells. Zbl 07455341Wang, Dan; Cao, Yanzhao; Li, Qiang; Shen, Jihong 1 2021 Global well-posedness for Navier-Stokes-Darcy equations with the free interface. Zbl 07479352Zhao, Bin; Zhang, Mingyue; Liang, Chuangchuang 1 2021 Stabilized invariant energy quadratization (S-IEQ) method for the molecular beam epitaxial model without slope section. Zbl 07479354Zhang, Hui; Yang, Xiaofeng; Zhang, Jun 1 2021 A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151Ye, Xiu; Zhang, Shangyou 9 2020 A conforming discontinuous Galerkin finite element method. Zbl 1465.65150Ye, Xiu; Zhang, Shangyou 8 2020 Theoretical and numerical studies on global stability of traveling waves with oscillations for time-delayed nonlocal dispersion equations. Zbl 1462.35129Xu, Tianyuan; Ji, Shanming; Rui, Huang; Mei, Ming; Yin, Jingxue 5 2020 A time-accurate, adaptive discretization for fluid flow problems. Zbl 07244844DeCaria, Victor; Layton, William; Zhao, Haiyun 3 2020 Modifying the split-step \(\theta \)-method with harmonic-mean term for stochastic differential equations. Zbl 1471.65013Nouri, Kazem; Ranjbar, Hassan; Cortés López, Juan Carlos 2 2020 The property of the branch of nonsingular finite element/finite volume solutions to the stationary Navier-Stokes equations and its application. Zbl 1465.65141Li, Jian; He, Yinnian 2 2020 CS-MRI reconstruction based on the constrained TGV-shearlet scheme. Zbl 1471.92193Wu, Tingting; Pang, Zhi-Feng; Wang, Youguo; Yang, Yu-Fei 2 2020 Analysis of artificial dissipation of explicit and implicit time-integration methods. Zbl 1471.65120Öffner, Philipp; Glaubitz, Jan; Ranocha, Hendrik 2 2020 A finite difference method for stochastic nonlinear second-order boundary-value problems driven by additive noisese. Zbl 1471.65011Baccouch, Mahboub 2 2020 Fitted front tracking methods for two-phase ncompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. Zbl 1471.76084Agnese, Marco; Nürnberg, Robert 1 2020 Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows. Zbl 07244676Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul 1 2020 3D \(B_2\) model for radiative transfer equation. Zbl 07244680Li, Ruo; Li, Weiming 1 2020 Conforming harmonic finite elements on the Hsieh-Clough-Tocher split of a triangle. Zbl 1465.65146Sorokina, Tatyana; Zhang, Shangyou 1 2020 A finite difference scheme for Caputo-Fabrizio fractional differential equations. Zbl 07244841Guo, Xu; Li, Yutian; Zeng, Tieyong 1 2020 Provably size-guaranteed mesh generation with superconvergence. Zbl 07244843Li, Xiangrong; Qi, Nan; Zhang, Weiwei; Nie, Yufeng 1 2020 Efficient Galerkin-mixed FEMs for incompressible miscible flow in porous media. Zbl 07408989Sun, Weiwei; Wu, Chengda 1 2020 A numerical approach to study the thermal influence on gas hydrates by physical process splitting. Zbl 1471.76051Poveshchenko, Yury; Rahimly, Parvin; Rahimly, Orkhan; Podryga, Viktoriia; Gasilova, Irina 1 2020 Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361Guo, Ruchi; Lin, Tao; Zhuang, Qiao 20 2019 Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101Mei, Ming; Zhang, Kaijun; Zhang, Qifeng 10 2019 A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060Gunzburger, Max; Wang, Jilu 7 2019 A partitioned method with different time steps for coupled Stokes and Darcy flows with transport. Zbl 1427.65215Zhang, Jingyuan; Rui, Hongxing; Cao, Yanzhao 6 2019 Wong-Zakai approximations of stochastic Allen-Cahn equation. Zbl 1431.60067Liu, Zhihui; Qiao, Zhonghua 6 2019 Convexity splitting in a phase field model for surface diffusion. Zbl 07017833Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel 6 2019 Distributed Lagrange multiplier-fictitious domain finite element method for Stokes interface problems. Zbl 1434.65269Lundberg, Andrew; Sun, Pengtao; Wang, Cheng 5 2019 An iterative approach for constructing immersed finite element spaces and applications to interface problems. 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Zbl 1365.76228Kou, Jisheng; Sun, Shuyu 6 2017 ...and 404 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,294 Authors 46 Shi, Dongyang 39 Chen, Yanping 31 Ye, Xiu 27 Huang, Yunqing 25 He, Xiaoming 23 He, Yinnian 22 Lin, Tao 22 Sun, Weiwei 22 Wang, Cheng 21 Lin, Yanping 21 Mu, Lin 19 Chung, Tsz Shun Eric 19 Zhang, Shangyou 18 Baccouch, Mahboub 18 Gatica, Gabriel N. 18 Li, Jian 18 Zhang, Zhimin 17 Jung, Changyeol 17 Wang, Hong 16 Pani, Amiya Kumar 16 Wang, Junping 15 Cui, Junzhi 15 Huang, Qiumei 15 Wang, Kun 13 Chen, Zhangxin 13 Guan, Hongbo 13 Lu, Zuliang 13 Nie, Yufeng 13 Ruiz-Baier, Ricardo 13 Shu, Chi-Wang 13 Temam, Roger Meyer 13 Wu, Tingting 12 An, Rong 12 Dolejší, Vít 12 Huang, Pengzhan 12 Li, Buyang 12 Li, Hong 12 Li, Jichun 12 Natesan, Srinivasan 12 Wang, Xiaoshen 12 Yang, Xiaofeng 12 Zhai, Qilong 11 Dehghan Takht Fooladi, Mehdi 11 Gunzburger, Max D. 11 Hou, Songming 11 Liu, Yang 11 O’Riordan, Eugene 11 Si, Zhiyong 11 Tai, Xuecheng 11 Wang, Liqun 11 Zhu, Qiding 10 Feng, Xinlong 10 Guillén González, Francisco M. 10 Guo, Ruchi 10 Ju, Lili 10 Layton, William J. 10 Liu, Jiangguo 10 Liu, Jinghong 10 Mao, Shipeng 10 Mao, Xuerong 10 Rebholz, Leo G. 10 Roul, Pradip 10 Sun, Shuyu 10 Wang, Chunmei 10 Wang, Ruishu 10 Yuan, Long 10 Zhang, Ran 10 Zhang, Xu 9 Du, Qiang 9 Dumbser, Michael 9 Gracia, José Luis 9 Hoang, Manh Tuan 9 Houston, Paul 9 Jiang, Yaolin 9 Oyarzúa, Ricardo 9 Qiao, Zhonghua 9 Shi, Liwei 9 Zhou, Zhaojie 9 Zhu, Shengfeng 8 Bartosz, Krzysztof 8 Cao, Liqun 8 Chen, Chuanjun 8 Čiegis, Raimondas 8 Clavero, Carmelo 8 Gan, Siqing 8 Hou, Yanren 8 Hu, Qiya 8 Kumar, Sarvesh 8 Ma, Qiang 8 Münch, Arnaud 8 Neda, Monika 8 Venturi, Daniele 8 Wang, Jilu 8 Wang, Qi 8 Zhang, Kai 8 Zhang, Yangwen 8 Zhao, Jia 7 Bi, Chunjia 7 Chen, Ke 7 Colmenares, Eligio ...and 3,194 more Authors all top 5 Cited in 269 Journals 210 Journal of Computational and Applied Mathematics 179 Journal of Scientific Computing 161 Journal of Computational Physics 139 Computers & Mathematics with Applications 139 Applied Mathematics and Computation 118 Applied Numerical Mathematics 77 Computer Methods in Applied Mechanics and Engineering 55 Numerical Methods for Partial Differential Equations 53 SIAM Journal on Numerical Analysis 51 Numerische Mathematik 51 Numerical Algorithms 47 International Journal of Numerical Analysis and Modeling 46 Advances in Applied Mathematics and Mechanics 42 SIAM Journal on Scientific Computing 38 Advances in Computational Mathematics 32 Mathematics of Computation 31 Communications in Computational Physics 30 Computational Geosciences 29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 28 Journal of Mathematical Analysis and Applications 27 Computers and Fluids 25 Mathematics and Computers in Simulation 25 Computational and Applied Mathematics 24 Applied Mathematics Letters 23 International Journal of Computer Mathematics 22 Discrete and Continuous Dynamical Systems. 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