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: Journal; Indexed cover-to-cover; In 2015 the journal incorporated: Int. J. Numer. Anal. Model., Ser. B (ISSN 1923-2942; 1923-2950/e) Documents Indexed: 840 Publications (since 2004) References Indexed: 241 Publications with 7,479 References. all top 5 Latest Issues 20, No. 6 (2023) 20, No. 5 (2023) 20, No. 4 (2023) 20, No. 3 (2023) 20, No. 2 (2023) 20, No. 1 (2023) 19, No. 6 (2022) 19, No. 5 (2022) 19, No. 4 (2022) 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 13 Ye, Xiu 13 Zhang, Zhimin 12 He, Yinnian 11 Baccouch, Mahboub 11 Chen, Zhangxin 11 Pani, Amiya Kumar 9 Lin, Yanping 9 Wang, Junping 8 Houston, Paul 8 Liu, Steve Wenbin 8 Tai, Xuecheng 8 Temam, Roger Meyer 8 Zhang, Shangyou 7 Cao, Yanzhao 7 Lin, Tao 7 Schurz, Henri 7 Shu, Chi-Wang 7 Wang, Hong 7 Zou, Qingsong 6 Cao, Liqun 6 Gracia, José Luis 6 Li, Jian 6 Li, Zhilin 6 Liang, Dong 6 Xie, Hehu 6 Xu, Yuesheng 6 Yan, Ningning 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 Neda, Monika 5 Nie, Yufeng 5 Peszyńska, Małgorzata 5 Rebholz, Leo G. 5 Shi, Dongyang 5 Wong, Yau Shu 5 Yang, Hongtao 5 Yang, Xiaozhong 4 Chen, Chuanmiao 4 Chen, Ke 4 Chou, So-Hsiang 4 Clavero, Carmelo 4 Du, Qiang 4 Fernández, Jose Ramon 4 Gaspar, Francisco José 4 Ge, Liang 4 Huang, Qiumei 4 O’Riordan, Eugene 4 Qiao, Zhonghua 4 Sheen, Dongwoo 4 Shi, Zhongci 4 Sun, Pengtao 4 Sun, Tongjun 4 Sun, Weiwei 4 Tveito, Aslak 4 Vabishchevich, Pëtr Nikolaevich 4 Wang, Cheng 4 Wang, Kaixin 4 Wang, Kun 4 Wise, Steven M. 4 Xie, Dexuan 4 Zhou, Yanhui 3 Allegretto, Walter 3 Attanayake, Champike 3 Bialecki, Bernard 3 Boglaev, Igor P. 3 Bokil, Vrushali A. 3 Chen, Hongsen 3 Cheng, Xiaoliang 3 Chrysafinos, Konstantinos 3 Chung, Tsz Shun Eric 3 Cui, Ming 3 Deng, Jian 3 Deng, Xiaomao 3 Djoko, Jules K. 3 Feng, Xinlong 3 Glowinski, Roland 3 Gong, Wei 3 Hanslien, Monica 3 He, Xiaoming 3 Iliescu, Traian 3 Kaya, Songul 3 Kean, Kiera 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 Nataraj, Neela 3 Nicaise, Serge ...and 1,327 more Authors all top 5 Fields 702 Numerical analysis (65-XX) 400 Partial differential equations (35-XX) 200 Fluid mechanics (76-XX) 98 Calculus of variations and optimal control; optimization (49-XX) 64 Mechanics of deformable solids (74-XX) 56 Probability theory and stochastic processes (60-XX) 50 Ordinary differential equations (34-XX) 40 Biology and other natural sciences (92-XX) 35 Optics, electromagnetic theory (78-XX) 22 Computer science (68-XX) 21 Geophysics (86-XX) 19 Statistical mechanics, structure of matter (82-XX) 19 Operations research, mathematical programming (90-XX) 18 Systems theory; control (93-XX) 17 Information and communication theory, circuits (94-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Approximations and expansions (41-XX) 10 Integral equations (45-XX) 8 Operator theory (47-XX) 8 Statistics (62-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 General and overarching topics; collections (00-XX) 6 Real functions (26-XX) 5 Integral transforms, operational calculus (44-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Combinatorics (05-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-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 633 Publications have been cited 4,460 times in 3,676 Documents Cited by ▼ Year ▼ Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172 Mu, Lin; Wang, Junping; Ye, Xiu 138 2015 Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Zbl 1281.65122 Li, Buyang; Sun, Weiwei 128 2013 Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155 He, Xiaoming; Lin, Tao; Lin, Yanping 109 2011 Convergence and stability of implicit methods for jump-diffusion systems. Zbl 1109.65007 Higham, Desmond J.; Kloeden, Peter E. 64 2006 ADI finite difference schemes for option pricing in the Heston model with correlation. Zbl 1499.65276 Hout, K. J. In ’t; Foulon, S. 61 2010 Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030 Hartmann, Ralf; Houston, Paul 51 2006 Numerical analysis for a nonlocal Allen-Cahn equation. Zbl 1165.65051 Bates, Peter W.; Brown, Sarah; Han, Jianlong 45 2009 Error estimates and superconvergence of mixed finite element for quadratic optimal control. Zbl 1125.49026 Chen, Yanping; Liu, Wenbin 42 2006 Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085 Danumjaya, Palla; Pani, Amiya Kumar 40 2006 Shishkin meshes in the numerical solution of singularly perturbed differential equations. Zbl 1197.65094 Kopteva, Natalia; O’Riordan, Eugene 38 2010 A general strategy for numerical approximations of non-equilibrium models. I: Thermodynamical systems. Zbl 1412.65099 Zhao, Jia; Yang, Xiaofeng; Gong, Yuezheng; Zhao, Xueping; Yang, Xiaogang; Li, Jun; Wang, Qi 37 2018 Numerical analysis of a finite element Crank-Nicolson discretization for MHD flows at small magnetic Reynolds numbers. Zbl 1266.76066 Yuksel, Gamze; Ingram, Ross 35 2013 Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361 Guo, Ruchi; Lin, Tao; Zhuang, Qiao 33 2019 An optimal 9-point finite difference scheme for the Helmholtz equation with PML. Zbl 1272.65081 Chen, Zhongying; Cheng, Dongsheng; Feng, Wei; Wu, Tingting 30 2013 Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429 Hartmann, Ralf; Houston, Paul 27 2006 Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315 Shi, Dongyang; Pei, Lifang 27 2008 A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020 Tai, Xue-Cheng; Chan, Tony F. 25 2004 Convergence of Rothe scheme for hemivariational inequalities of parabolic type. Zbl 1269.65066 Kalita, Piotr 25 2013 Superconvergence of tetrahedral linear finite element. Zbl 1100.65084 Chen, Long 24 2006 A numerical approach for solving a class of a singular boundary value problems arising in physiology. Zbl 1211.65097 Abukhaled, M.; Khuri, S. A.; Sayfy, A. 23 2011 Weak Galerkin finite element method for second order parabolic equations. Zbl 1362.65110 Zhang, Hongqin; Zou, Yongkui; Xu, Yingxiang; Zhai, Qilong; Yue, Hua 23 2016 High degree immersed finite element spaces by a least squares method. Zbl 1429.65291 Adjerid, Slimane; Guo, Ruchi; Lin, Tao 23 2017 A fast second-order finite difference method for space-fractional diffusion equations. Zbl 1279.65095 Basu, Treena S.; Wang, Hong 23 2012 The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations. Zbl 1195.65086 Zhou, Zhaojie; Yan, Ningning 23 2010 A slope limiting procedure in discontinuous Galerkin finite element method for gasdynamics applications. Zbl 1151.76530 Tu, Shuangzhang; Aliabadi, Shahrouz 22 2005 A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160 Wang, Chunmei; Wang, Junping 22 2015 A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033 Li, Wanshan; Liang, Dong; Lin, Yanping 22 2013 Interior layers in a reaction-diffusion equation with a discontinuous diffusion coefficient. Zbl 1202.65096 de Falco, Carlo; O’Riordan, Eugene 22 2010 Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104 Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S. 21 2013 An efficient collocation method for a non-local diffusion model. Zbl 1280.65134 Tian, Hao; Wang, Hong; Wang, Wenqia 21 2013 An \(H^1\)-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100 Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K. 20 2004 Uniform \(L^p\)-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076 Yang, Jiang; Du, Qiang; Zhang, Wei 20 2018 A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151 Ye, Xiu; Zhang, Shangyou 20 2020 Finite volume element method for second order hyperbolic equations. Zbl 1134.65069 Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K. 19 2008 A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170 Xie, Hui; Li, Zhilin; Qiao, Zhonghua 19 2011 Error analysis of a finite difference scheme for the epitaxial thin film model with slope selection with an improved convergence constant. Zbl 1371.35143 Qiao, Zhonghua; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru 19 2017 A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207 Gunzburger, Max; Jiang, Nan; Schneier, Michael 19 2018 Modeling, analysis and discretization of stochastic logistic equations. Zbl 1128.65008 Schurz, Henri 18 2007 Numerical analysis of a higher order time relaxation model of fluids. Zbl 1242.76061 Ervin, Vincent J.; Layton, William J.; Neda, Monika 18 2007 A priori error estimates for semidiscrete finite element approximation to equations of motion arising in Oldroyd fluids of order one. Zbl 1429.76070 Goswami, Deepjyoti; Pani, Amiya K. 18 2011 Well flow models for various numerical methods. Zbl 1158.76393 Chen, Zhangxin; Zhang, Youqian 18 2009 Stability of the kinematically coupled \(\beta\)-scheme for fluid-structure interaction problems in hemodynamics. Zbl 1332.35281 Čanič, Sunčica.; Muha, Boris; Bukac, Martina 18 2015 A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. Zbl 1499.65424 Qin, Yuzhe; Wang, Cheng; Zhang, Zhengru 18 2021 A conforming discontinuous Galerkin finite element method. Zbl 1465.65150 Ye, Xiu; Zhang, Shangyou 18 2020 Stability-preserving finite difference methods for general multi-dimensional autonomous dynamical systems. Zbl 1113.37065 Dimitrov, Dobromir T.; Kojouharov, Hristo V. 17 2007 Optimal design of the support of the control for the 2-D wave equation: a numerical method. Zbl 1242.49091 Münch, Arnaud 17 2008 A computational scheme for option under jump diffusion processes. Zbl 1159.91402 Zhang, Kai; Wang, Song 17 2009 \(L^\infty\)-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594 Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua 17 2005 An ensemble-based conventional turbulence model for fluid-fluid interaction. Zbl 1395.76039 Connors, Jeffrey M. 17 2018 Interval-based reduced order models for unsteady fluid flow. Zbl 1133.37342 Borggaard, Jeff; Hay, Alexander; Pelletier, Dominique 16 2007 Quintic spline solutions of fourth order boundary-value problems. Zbl 1132.65069 Siddiqi, Shahid S.; Akram, Ghazala 16 2008 Global superconvergence for optimal control problems governed by Stokes equations. Zbl 1126.49028 Liu, Huipo; Yan, Ningning 16 2006 Convergence of the time-domain perfectly matched layer method for acoustic scattering problems. Zbl 1158.76394 Chen, Zhiming 16 2009 ANOVA expansions and efficient sampling methods for parameter dependent nonlinear PDEs. Zbl 1161.65336 Cao, Yanzhao; Chen, Zheng; Gunzburger, Max 16 2009 Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080 Shi, Dongyang; Ren, Jincheng 16 2009 A priori and a posteriori error estimates for Boussinesq equations. Zbl 1143.76419 Allali, Karam 16 2005 A third order linearized bdfscheme for Maxwell’s equations with nonlinear conductivity using finite element method. Zbl 1383.78044 Yao, Changhui; Lin, Yanping; Wang, Cheng; Kou, Yanli 16 2017 Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030 Bramble, James H.; Pasciak, Joseph E. 16 2012 Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098 Mao, Shipeng; Chen, Shaochun; Shi, Dongyang 15 2007 The multiscale discontinuous Galerkin method for solving a class of second order elliptic problems with rough coefficients. Zbl 1239.65073 Wang, Wei; Guzman, Johnny; Shu, Chi-Wang 15 2011 A symmetric finite volume element scheme on quadrilateral grid and superconvergence. Zbl 1100.65102 Shu, Shi; Yu, Haiyuan; Huang, Yunqing; Nie, Cunyun 15 2006 Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Zbl 1110.65074 Chen, Hongsen 15 2006 Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145 Zhang, Zhimin 15 2004 Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140 Zhang, Zhimin; Lin, Runchang 15 2005 Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114 Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G. 15 2016 Sstability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation. Zbl 1268.65133 Chan, Hiu Ning; Chung, Eric T.; Cohen, Gary 15 2013 Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101 Mei, Ming; Zhang, Kaijun; Zhang, Qifeng 15 2019 Pollution-free finite difference schemes for non-homogeneous Helmholtz equation. Zbl 1499.65614 Wang, Kun; Wong, Yau Shu 15 2014 Mean square convergence of stochastic \(\theta\)-methods for nonlinear neutral stochastic differential delay equations. Zbl 1215.65014 Gan, Siqing; Schurz, Henri; Zhang, Haomin 14 2011 Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers. Zbl 1103.65115 Jung, Changyeol; Temam, Roger 14 2005 Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052 Shen, Lihua; Li, Jian; Chen, Zhangxin 14 2009 Control of geometry induced error in \(hp\) finite element (FE) simulation. I: Evaluation of FE error for curvilinear geometries. Zbl 1073.65122 Xue, Dong; Demkowicz, Leszek 14 2005 Equivalent a posteriori error estimates for a constrained optimal control problem governed by parabolic equations. Zbl 1266.65198 Sun, Tongjun; Ge, Liang; Liu, Wenbin 14 2013 An asymptotic preserving implicit unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1410.82022 Sun, Wenjun; Jiang, Song; Xu, Kun 14 2018 Convexity splitting in a phase field model for surface diffusion. Zbl 1501.65063 Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel 14 2019 Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059 Wang, Junping; Wang, Yanqiu; Ye, Xiu 14 2013 Analysis of a second-order, unconditionally stable, partitioned method for the evolutionary Stokes-Darcy model. Zbl 1499.65501 Kubacki, Michaela; Moraiti, Marina 14 2015 A weighted variational formulation based on plane wave basis for discretization of Helmholtz equations. Zbl 1499.65666 Hu, Qiya; Yuan, Long 14 2014 Discontinuous Galerkin finite element method with interior penalties for convection diffusion optimal control problem. Zbl 1499.65529 Sun, Tongjun 14 2010 Ensemble timestepping algorithms for natural convection. Zbl 1397.65157 Fiordilino, Joseph Anthony; Khankan, Sarah 14 2018 Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103 He, Lianhua; Zhou, Aihui 14 2011 Unconditional convergence of high-order extrapolations of the Crank-Nicolson, finite element method for the Navier-Stokes equations. Zbl 1264.76060 Ingram, Ross 14 2013 Finite difference schemes for the Korteweg-de Vries-Kawahara equation. Zbl 1350.35171 Koley, Ujjwal 13 2016 Second-order two-scale analysis method for dynamic thermo-mechanical problems in periodic structure. Zbl 1332.35356 Yang, Zihao; Cui, Junzhi; Wu, Yatao; Wang, Ziqiang; Wan, Jianjun 13 2015 Improved error estimates of a finite difference/spectral method for time-fractional diffusion equations. Zbl 1329.65201 Lv, Chunwan; Xu, Chuanju 13 2015 Second order uniform approximations for the solution of time dependent singularly perturbed reaction-diffusion systems. Zbl 1214.65044 Clavero, Carmelo; Gracia, José Luis; Lisbona, Fransisco 13 2010 A posteriori error estimation for a singularly perturbed problem with two small parameters. Zbl 1197.65099 Linss, Torsten 13 2010 Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems. Zbl 1195.65119 Linss, Torsten; Madden, Niall 13 2010 Higher degree immersed finite element methods for second-order elliptic interface problems. Zbl 1499.65639 Adjerid, Slimane; Ben-Romdhane, M.; Lin, Tao 13 2014 Superconvergence by \(L^2\)-projections for stabilized finite element methods for the Stokes equations. Zbl 1499.65672 Li, Jian; Wang, Junping; Ye, Xiu 13 2009 A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093 Wang, Junping; Wang, Yanqiu; Ye, Xiu 13 2012 Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations. Zbl 1130.74046 Du, Qiang; Wang, Xiaoqiang 12 2007 Invalidity of decoupling a biharmonic equation to two Poisson equations on non-convex polygons. Zbl 1136.35024 Zhang, Sheng; Zhang, Zhimin 12 2008 Optimal \({\mathcal H}_2\) model reduction for large scale MIMO systems via tangential interpolation. Zbl 1213.93089 Xu, Yuesheng; Zeng, Taishan 12 2011 Convergence and stability of the semi-implicit Euler method with variable stepsize for a linear stochastic pantograph differential equation. Zbl 1214.65003 Xiao, Yu; Song, Minghui; Liu, Mingzhu 12 2011 Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153 Ji, Liangyue; Xu, Yan 12 2011 A piecewise constant level set framework. Zbl 1125.49031 Lie, Johan; Lysaker, Marius; Tai, Xuecheng 12 2005 Convergence and stability of balanced implicit methods for systems of SDEs. Zbl 1078.65007 Schurz, Henri 12 2005 A two-grid finite volume element method for a nonlinear parabolic problem. Zbl 1329.65220 Chen, Chuanjun; Liu, Wei 12 2015 A time-accurate, adaptive discretization for fluid flow problems. Zbl 07244844 DeCaria, Victor; Layton, William; Zhao, Haiyun 12 2020 Linear moment models to approximate Knudsen layers. Zbl 1524.34081 Li, Ruo; Yang, Yichen 2 2023 Optimal control of a quasistatic frictional contact problem with history-dependent operators. Zbl 1524.47072 Li, Yujie; Cheng, Xiaoliang; Wang, Xilu 1 2023 Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system. Zbl 1485.65102 Chen, Wenbin; Liu, Qianqian; Shen, Jie 7 2022 The Scott-Vogelius method for the Stokes problem on anisotropic meshes. Zbl 1485.65118 Kean, Kiera; Neilan, Michael; Schneier, Michael 4 2022 An immersed Crouzeix-Raviart finite element method for Navier-Stokes equations with moving interfaces. Zbl 1513.65470 Wang, Jin; Zhang, Xu; Zhuang, Qiao 4 2022 Approximate solution of a nonlinear fractional-order HIV model using homotopy analysis method. Zbl 1513.92083 Naik, Parvaiz Ahmad; Ghoreishi, Mohammad; Zu, Jian 4 2022 A numerical analysis of the coupled Cahn-Hilliard/Allen-Cahn system with dynamic boundary conditions. Zbl 1513.65375 Makki, Ahmad; Miranville, Alain; Petcu, Madalina 3 2022 Low regularity primal-dual weak Galerkin finite element methods for ill-posed elliptic Cauchy problems. Zbl 1499.65684 Wang, Chunmei 3 2022 A weighted least-squares finite element method for Biot’s consolidation problem. Zbl 1485.65119 Lee, Hsueh-Chen; Lee, Hyesuk 2 2022 Convergence analysis of Nitsche extended finite element methods for \(H(\operatorname{curl})\)-elliptic interface problems. Zbl 1513.65471 Wang, Nan; Chen, Jinru 2 2022 A scalar auxiliary variable (SAV) and operator splitting compact finite difference method for peritectic phase field model. Zbl 1499.65388 Fei, Jiajie; Xie, Shusen; Chen, Chunguang 2 2022 Reduced basis finite element methods for the Korteweg-de Vries-Burgers equation. Zbl 07524476 Piao, Guang-Ri; Yao, Fuxia; Zhao, Wenju 1 2022 Clipping over dissipation in turbulence models. Zbl 1490.76106 Kean, Kiera; Layton, William; Schneier, Michael 1 2022 Comparative studies on mesh-free deep neural network approach versus finite element method for solving coupled nonlinear hyperbolic/wave equations. Zbl 1513.65394 Zhu, Xingwen; He, Mingyan; Sun, Pengtao 1 2022 A preconditioned steepest descent solver for the Cahn-Hilliard equation with variable mobility. Zbl 1513.65278 Chen, Xiaochun; Wang, Cheng; Wise, Steven M. 1 2022 Efficient generation of membrane and solvent tetrahedral meshes for ion channel finite element calculation. Zbl 1513.65342 Chao, Zhen; Gui, Sheng; Lu, Benzhuo; Xie, Dexuan 1 2022 Boundary element method with high order impedance boundary conditions in electromagnetics. Zbl 1513.65517 Daveau, Christian; Aubkirov, Abil; Soudais, Paul 1 2022 Energy stable time domain finite element methods for nonlinear models in optics and photonics. Zbl 1513.65349 Anees, Asad; Angermann, Lutz 1 2022 A mesh-less, ray-based deep neural network method for the Helmholtz equation with high frequency. Zbl 1513.65501 Yang, Andy L.; Gu, Feng 1 2022 Error estimates for semi-discrete finite element approximations for a moving boundary problem capturing the penetration of diffusants into rubber. Zbl 1499.65516 Nepal, Surendra; Wondmagegne, Yosief; Muntean, Adrian 1 2022 Recovery-based a posteriori error estimation for elliptic interface problems based on partially penalized immersed finite element methods. Zbl 1499.35730 Chen, Yanping; Deng, Zhirou; Huang, Yunqing 1 2022 A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. Zbl 1499.65424 Qin, Yuzhe; Wang, Cheng; Zhang, Zhengru 18 2021 Stabilized invariant energy quadratization (S-IEQ) method for the molecular beam epitaxial model without slope section. Zbl 1499.65547 Zhang, Hui; Yang, Xiaofeng; Zhang, Jun 11 2021 A \(\mathcal{P}_2\)-\(\mathcal{P}_1\) partially penalized immersed finite element method for Stokes interface problem. Zbl 1486.65243 Chen, Yuan; Zhang, Xu 9 2021 A deep learning Galerkin method for the second-order linear elliptic equations. Zbl 1499.65673 Li, Jian; Zhang, Wen; Yue, Jing 5 2021 Approximations by MINI mixed finite element for the Stokes-Darcy coupled problem on curved domains. Zbl 1471.74067 Armentano, María Gabriela; Stockdale, María Lorena 5 2021 A modified primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. Zbl 1499.65683 Wang, Chunmei 4 2021 Global well-posedness for Navier-Stokes-Darcy equations with the free interface. Zbl 1499.35485 Zhao, Bin; Zhang, Mingyue; Liang, Chuangchuang 4 2021 Locally conservative serendipity finite element solutions for elliptic equations. Zbl 1486.65271 Zhou, Yanhui; Zou, Qingsong 4 2021 Error estimates for the Laplace interpolation on convex polygons. Zbl 1499.65694 Zhang, Weiwei; Hu, Long; Yang, Zongze; Nie, Yufeng 3 2021 The arbitrary Lagrangian-Eulerian finite element method for a transient Stokes/parabolic interface problem. Zbl 1499.65500 Kesler, Ian; Lan, Rihui; Sun, Pengtao 3 2021 A compact finite difference scheme for the fourth-order time multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions. Zbl 1471.65100 Gao, Guang-Hua; Tang, Rui; Yang, Qian 3 2021 Analysis of Rothe method for a variational-hemivariational inequality in adhesive contact problem for locking materials. Zbl 1499.74073 Cheng, Xiaoliang; Xuan, Hailing; Xiao, Qichang 2 2021 Stability of high order finite difference schemes with implicit-explicit time-marching for convection-diffusion and convection-dispersion equations. Zbl 1499.65435 Tan, Meiqi; Cheng, Juan; Shu, Chi-Wang 2 2021 A stochastic gradient descent method for the design of optimal random interface in thin-film solar cells. Zbl 1499.65685 Wang, Dan; Cao, Yanzhao; Li, Qiang; Shen, Jihong 2 2021 Superconvergence and flux recovery for an enriched finite element method. Zbl 1499.65625 Attanayake, Champike; Chou, So-Hsiang 2 2021 Fast Gauss-related quadrature for highly oscillatory integrals with logarithm and Cauchy-logarithmic type singularities. Zbl 1499.65077 Kayijuka, Idrissa; Ege, Serife Muge; Topal, Fatma Serap; Konuralp, Ali 1 2021 An effective algorithm for computing fractional derivatives and application to fractional differential equations. Zbl 1499.65073 Zhang, Minling; Liu, Fawang; Anh, Vo 1 2021 Convergence analysis of Yee-FDTD schemes for 3D Maxwell’s equations in linear dispersive media. Zbl 1499.65428 Sakkaplangkul, Puttha; Bokil, Vrushali A. 1 2021 Numerical simulations for shallow water flows over erodible beds by central DG methods. Zbl 1471.65155 Xian, Weizhi; Chen, Aimin; Cheng, Yongping; Dong, Haiyun 1 2021 Well-posedness and the multiscale algorithm for heterogeneous scattering of Maxwell’s equations in dispersive media. Zbl 1474.65452 Zhang, Yongwei; Cao, Liqun; Shi, Dongyang 1 2021 An efficient nonlinear solver for steady MHD based on algebraic splitting. Zbl 1513.65472 Xiao, Mengying 1 2021 Modified Tikhonov regularization for identifying several sources. Zbl 1499.35714 Elvetun, Ole Iøseth; Nielsen, Bjørn Fredrik 1 2021 Collocation methods for a class of integro-differential algebraic equations. 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Zbl 1412.65193 Wang, Fei; Han, Weimin 4 2019 ...and 533 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,619 Authors 59 Shi, Dongyang 46 Chen, Yanping 41 Ye, Xiu 38 He, Xiaoming 36 Huang, Yunqing 36 Zhang, Shangyou 32 He, Yinnian 28 Li, Jian 27 Lin, Tao 26 Zhang, Zhimin 25 Baccouch, Mahboub 25 Nie, Yufeng 24 Lin, Yanping 23 Sun, Weiwei 22 Wang, Junping 21 Gatica, Gabriel N. 21 Mu, Lin 21 Pani, Amiya Kumar 21 Zhang, Xu 20 Chung, Tsz Shun Eric 20 Huang, Pengzhan 20 Jung, Changyeol 20 Wang, Hong 20 Yang, Xiaofeng 19 Cui, Junzhi 18 Feng, Xinlong 18 Huang, Qiumei 18 Li, Jichun 18 Li, Meng 18 Wang, Cheng 18 Xu, Fei 17 Wang, Qi 17 Wang, Xiaoshen 17 Zhao, Jia 16 An, Rong 16 Chen, Zhangxin 16 Ruiz-Baier, Ricardo 16 Shu, Chi-Wang 16 Wang, Chunmei 16 Wang, Kun 16 Zhang, Tong 15 Lu, Zuliang 15 Zhu, Shengfeng 14 Dehghan Takht Fooladi, Mehdi 14 Gunzburger, Max D. 14 Guo, Ruchi 14 Jiang, Yaolin 14 Li, Buyang 14 Li, Hong 14 Liu, Yang 14 Temam, Roger Meyer 14 Wu, Tingting 14 Yang, Huaijun 14 Zhu, Qiding 13 Chen, Chuanjun 13 Deka, Bhupen 13 Dolejší, Vít 13 Guan, Hongbo 13 Jiang, Nan 13 Liu, Jinghong 13 Mao, Shipeng 13 Tai, Xuecheng 13 Wang, Ruishu 12 Chen, Long 12 Gracia, José Luis 12 Hou, Songming 12 Ju, Lili 12 Mao, Xuerong 12 Natesan, Srinivasan 12 O’Riordan, Eugene 12 Roul, Pradip 12 Si, Zhiyong 12 Sun, Shuyu 12 Wang, Liqun 12 Zhai, Qilong 12 Zhu, Peng 11 Chen, Wenbin 11 Guillén González, Francisco M. 11 Hoang, Manh Tuan 11 Hou, Yanren 11 Houston, Paul 11 Hu, Qiya 11 Ji, Haifeng 11 Kim, Junseok 11 Kumar, Naresh 11 Layton, William J. 11 Liu, Jiangguo 11 Ma, Qiang 11 Migórski, Stanisław 11 Oyarzúa, Ricardo 11 Qiao, Zhonghua 11 Rui, Hongxing 11 Wang, Cheng 11 Yang, Huanhuan 11 Yuan, Long 10 Adjerid, Slimane 10 Cao, Yong 10 Du, Qiang 10 Gong, Yuezheng 10 Han, Weimin ...and 4,519 more Authors all top 5 Cited in 334 Journals 293 Journal of Computational and Applied Mathematics 246 Journal of Scientific Computing 221 Computers & Mathematics with Applications 212 Journal of Computational Physics 168 Applied Mathematics and Computation 168 Applied Numerical Mathematics 118 Numerical Methods for Partial Differential Equations 104 Computer Methods in Applied Mechanics and Engineering 68 SIAM Journal on Numerical Analysis 68 International Journal of Numerical Analysis and Modeling 65 Numerical Algorithms 61 Advances in Applied Mathematics and Mechanics 59 SIAM Journal on Scientific Computing 58 Numerische Mathematik 55 Advances in Computational Mathematics 51 Computational and Applied Mathematics 46 International Journal of Computer Mathematics 42 Communications in Computational Physics 40 Mathematics of Computation 37 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 35 Journal of Mathematical Analysis and Applications 35 Calcolo 34 Computational Geosciences 33 Mathematics and Computers in Simulation 31 Mathematical Methods in the Applied Sciences 31 Applied Mathematics Letters 30 Computers and Fluids 30 BIT 29 Discrete and Continuous Dynamical Systems. 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