Communications in Computational Physics Short Title: Commun. Comput. Phys. Publisher: Global Science Press, Hong Kong; Cambridge University Press, Cambridge ISSN: 1815-2406; 1991-7120/e Online: http://www.global-sci.com/cicp/periodical_list.htmlhttp://www.global-sci.com/issue/contents/index.htmlhttps://www.cambridge.org/core/journals/communications-in-computational-physics/all-issues Documents Indexed: 1,731 Publications (since 2006) References Indexed: 692 Publications with 29,318 References. all top 5 Latest Issues 32, No. 4 (2022) 32, No. 3 (2022) 32, No. 2 (2022) 32, No. 1 (2022) 31, No. 5 (2022) 31, No. 4 (2022) 31, No. 3 (2022) 31, No. 2 (2022) 31, No. 1 (2022) 30, No. 5 (2021) 30, No. 4 (2021) 30, No. 3 (2021) 30, No. 2 (2021) 30, No. 1 (2021) 29, No. 5 (2021) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 5 (2020) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 5 (2020) 27, No. 4 (2020) 27, No. 3 (2020) 27, No. 2 (2020) 27, No. 1 (2020) 26, No. 5 (2019) 26, No. 4 (2019) 26, No. 3 (2019) 26, No. 2 (2019) 26, No. 1 (2019) 25, No. 5 (2019) 25, No. 4 (2019) 25, No. 3 (2019) 25, No. 2 (2019) 25, No. 1 (2019) 24, No. 5 (2018) 24, No. 4 (2018) 24, No. 3 (2018) 24, No. 2 (2018) 24, No. 1 (2018) 23, No. 5 (2018) 23, No. 4 (2018) 23, No. 3 (2018) 23, No. 2 (2018) 23, No. 1 (2018) 22, No. 5 (2017) 22, No. 4 (2017) 22, No. 3 (2017) 22, No. 2 (2017) 22, No. 1 (2017) 21, No. 5 (2017) 21, No. 4 (2017) 21, No. 3 (2017) 21, No. 2 (2017) 21, No. 1 (2017) 20, No. 5 (2016) 20, No. 4 (2016) 20, No. 3 (2016) 20, No. 2 (2016) 20, No. 1 (2016) 19, No. 5 (2016) 19, No. 4 (2016) 19, No. 3 (2016) 19, No. 2 (2016) 19, No. 1 (2016) 18, No. 5 (2015) 18, No. 4 (2015) 18, No. 3 (2015) 18, No. 2 (2015) 18, No. 1 (2015) 17, No. 5 (2015) 17, No. 4 (2015) 17, No. 3 (2015) 17, No. 2 (2015) 17, No. 1 (2015) 16, No. 5 (2014) 16, No. 4 (2014) 16, No. 3 (2014) 16, No. 2 (2014) 16, No. 1 (2014) 15, No. 5 (2014) 15, No. 4 (2014) 15, No. 3 (2014) 15, No. 2 (2014) 15, No. 1 (2014) 14, No. 5 (2013) 14, No. 4 (2013) 14, No. 3 (2013) 14, No. 2 (2013) 14, No. 1 (2013) 13, No. 5 (2013) 13, No. 4 (2013) 13, No. 3 (2013) 13, No. 2 (2013) 13, No. 1 (2013) 12, No. 5 (2012) ...and 57 more Volumes all top 5 Authors 22 Shu, Chi-Wang 18 Xu, Kun 16 Zhang, Pingwen 15 Cai, Wei 15 Li, Ruo 15 Liu, Tiegang 15 Yuan, Guangwei 14 Qiu, Jianxian 13 Succi, Sauro 12 Sjogreen, Bjorn 12 Xu, Yan 11 Hu, Guanghui 11 Huang, Yunqing 11 Khoo, Boo Cheong 11 Sheu, Tony Wen-Hann 11 Tang, Tao 10 Guo, Zhaoli 10 Zhang, Zhimin 9 Bao, Weizhu 9 Du, Qiang 9 E, Weinan 9 Hesthaven, Jan S. 9 Huang, Huaxiong 9 Shen, Jie 9 Shi, Baochang 9 Toro, Eleuterio Francisco 9 Xiu, Dongbin 9 Zhang, Jiwei 8 Chen, Wenbin 8 Chung, Tsz Shun Eric 8 Efendiev, Yalchin R. 8 Karniadakis, George Em 8 Liang, Dong 8 Liu, Hailiang 8 Mishra, Siddhartha 8 Xu, Zhenli 8 Zheng, Chunxiong 7 Brull, Stephane 7 Chai, Zhenhua 7 Chen, Shiyi 7 Cherubini, Christian 7 Cui, Junzhi 7 Dumbser, Michael 7 Filippi, Simonetta 7 Han, Houde 7 Hong, Jialin 7 Jin, Shi 7 Ju, Lili 7 Li, Peijun 7 Sheng, Zhiqiang 7 Shu, Shi 7 Sun, Pengtao 7 Tang, Huazhong 7 Tian, Baolin 7 Wang, Zhijian 7 Xia, Yinhua 7 Xiao, Heng 7 Xu, Chuanju 7 Ying, Wenjun 7 Zhou, Tao 7 Zhu, Jun 6 Antoine, Xavier 6 Bao, Gang 6 Cao, Yanzhao 6 Chen, Ching-Shyang 6 Cheng, Jian 6 Deng, Xiaogang 6 Diaz, Julien 6 Dutykh, Denys 6 Huang, Jingfang 6 Jiang, Song 6 Khakimzyanov, Gayaz Salimovich 6 Kurganov, Alexander 6 Li, Jingzhi 6 Li, Zhihui 6 Li, Zhilin 6 Lin, Guang 6 Liu, Jianguo 6 Ming, Pingbing 6 Petersson, N. Anders 6 Russo, Giovanni 6 Tan, Zhijun 6 Wang, Cheng 6 Wang, Desheng 6 Wang, Yushun 6 Xing, Yulong 6 Yang, Jerry Zhijian 6 Yang, Xiaofeng 6 Zhang, Bo 6 Zhang, Hui 5 Abgrall, Rémi 5 Azaïez, Mejdi 5 Cheng, Juan 5 Cheng, Xiaoliang 5 Chertock, Alina E. 5 Dubroca, Bruno 5 Falcucci, Giacomo 5 Gao, Zhen 5 Gunzburger, Max D. 5 Guo, Ruihan ...and 3,118 more Authors all top 5 Fields 1,119 Numerical analysis (65-XX) 766 Fluid mechanics (76-XX) 476 Partial differential equations (35-XX) 177 Mechanics of deformable solids (74-XX) 153 Statistical mechanics, structure of matter (82-XX) 127 Optics, electromagnetic theory (78-XX) 90 Biology and other natural sciences (92-XX) 87 Computer science (68-XX) 77 Geophysics (86-XX) 65 Quantum theory (81-XX) 51 Probability theory and stochastic processes (60-XX) 46 Classical thermodynamics, heat transfer (80-XX) 36 Statistics (62-XX) 31 Dynamical systems and ergodic theory (37-XX) 27 Information and communication theory, circuits (94-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 22 Integral equations (45-XX) 17 Ordinary differential equations (34-XX) 15 Approximations and expansions (41-XX) 13 General and overarching topics; collections (00-XX) 13 Mechanics of particles and systems (70-XX) 13 Operations research, mathematical programming (90-XX) 13 Systems theory; control (93-XX) 10 Relativity and gravitational theory (83-XX) 10 Astronomy and astrophysics (85-XX) 9 Operator theory (47-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Special functions (33-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 4 History and biography (01-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Mathematics education (97-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,149 Publications have been cited 9,513 times in 7,131 Documents Cited by ▼ Year ▼ Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation. Zbl 1364.35424Li, Xianjuan; Xu, Chuanju 177 2010 Heterogeneous multiscale methods: a review. Zbl 1164.65496E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric 167 2007 Phase-field models for multi-component fluid flows. Zbl 1373.76030Kim, Junseok 146 2012 Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205Xu, Yan; Shu, Chi-Wang 120 2010 Fast numerical methods for stochastic computations: a review. Zbl 1364.65019Xiu, Dongbin 117 2009 A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim 113 2008 Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302Xiu, Dongbin 106 2007 Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121Chandrashekar, Praveen 93 2013 A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077Carrillo, José A.; Chertock, Alina; Huang, Yanghong 90 2015 Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001Hou, Gene; Wang, Jin; Layton, Anita 86 2012 Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177Zhang, Yong-Tao; Shu, Chi-Wang 80 2009 Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265Shen, Jie; Wang, Li-Lian 76 2009 All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129Degond, Pierre; Tang, Min 76 2011 A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064Marzouk, Youssef; Xiu, Dongbin 74 2009 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 73 2011 The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200Liu, Hailiang; Yan, Jue 71 2010 A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. Zbl 1115.65096Xing, Yulong; Shu, Chi-Wang 68 2006 Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Zbl 1186.92005Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A. 63 2008 Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 1488.65247Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin 62 2017 An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284Haack, Jeffrey; Jin, Shi; Liu, Jian-guo 60 2012 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455Kurganov, Alexander; Lin, Chitien 59 2007 Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009Gottlieb, David; Xiu, Dongbin 58 2008 A high-order multidomain spectral difference method for the Navier-Stokes equations on unstructured hexahedral grids. Zbl 1164.76360Sun, Yuzhi; Wang, Z. J.; Liu, Yen 56 2007 A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137Loubère, Raphaël; Dumbser, Michael; Diot, Steven 52 2014 An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072Zhang, Zhengru; Qiao, Zhonghua 50 2012 Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381Liska, Richard; Shashkov, Mikhail 49 2008 On the order of accuracy and numerical performance of two classes of finite volume WENO schemes. Zbl 1364.65176Zhang, Rui; Zhang, Mengping; Shu, Chi-Wang 48 2011 An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161Collins, Craig; Shen, Jie; Wise, Steven M. 48 2013 WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121Titarev, V. A.; Tsoutsanis, P.; Drikakis, D. 46 2010 A unified gas-kinetic scheme for continuum and rarefied flows. II: Multi-dimensional cases. Zbl 1373.76216Huang, Juan-Chen; Xu, Kun; Yu, Pubing 46 2012 Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria 45 2011 Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049van Leer, B. 44 2006 Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124Huang, Weizhang 43 2006 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 43 2013 Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael 43 2014 Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117Chen, Feng; Shen, Jie 42 2013 Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation. Zbl 1373.76026Dijkstra, Henk A.; Wubs, Fred W.; Cliffe, Andrew K.; Doedel, Eusebius; Dragomirescu, Ioana F.; Eckhardt, Bruno; Gelfgat, Alexander Yu.; Hazel, Andrew L.; Lucarini, Valerio; Salinger, Andy G.; Phipps, Erik T.; Sanchez-Umbria, Juan; Schuttelaars, Henk; Tuckerman, Laurette S.; Thiele, Uwe 41 2014 Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 40 2009 Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel 40 2011 Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130Chen, Minghua; Deng, Weihua 36 2014 A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027Gesho, Masakazu; Olson, Eric; Titi, Edriss S. 36 2016 A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 35 2014 Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066Qiu, Jing-Mei; Shu, Chi-Wang 35 2011 Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127Narayan, Akil; Zhou, Tao 34 2015 Lumped parameter outflow models for 1-D blood flow simulations: effect on pulse waves and parameter estimation. Zbl 1364.76248Alastruey, J.; Parker, K. H.; Peiro, J.; Sherwin, S. J. 33 2008 Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084Titarev, V. A. 33 2012 A compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018Mathelin, L.; Gallivan, K. A. 33 2012 Extended physics-informed neural networks (XPINNs): a generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations. Zbl 07419158Jagtap, Ameya D.; Karniadakis, George Em 33 2020 Analysis of \(L1\)-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 1488.65431Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei 33 2018 Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085Dolejsi, Vit 32 2008 A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226Hu, Guanghui; Li, Ruo; Tang, Tao 32 2011 On the volume conservation of the immersed boundary method. Zbl 1373.74098Griffith, Boyce E. 32 2012 Exponentially-convergent strategies for defeating the Runge phenomenon for the approximation of non-periodic functions. I: Single-interval schemes. Zbl 1364.65025Boyd, John P.; Ong, Jun Rong 31 2009 Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008Joly, P.; Li, J.-R.; Fliss, S. 31 2006 Fourth order exponential time differencing method with local discontinuous Galerkin approximation for coupled nonlinear Schrödinger equations. Zbl 1388.65086Liang, Xiao; Khaliq, A. Q. M.; Xing, Yulong 31 2015 A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108Zhai, Qilong; Zhang, Ran; Mu, Lin 31 2016 Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140Puppo, Gabriella; Semplice, Matteo 31 2011 A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Zbl 1364.76111Cheng, Juan; Shu, Chi-Wang 30 2008 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225He, X.-M.; Lin, T.; Lin, Y. 30 2009 A parallel, reconstructed discontinuous Galerkin method for the compressible flows on arbitrary grids. Zbl 1364.76090Luo, Hong; Luo, Luqing; Ali, Amjad; Nourgaliev, Robert; Cai, Chunpei 30 2011 Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317Shen, Jie; Yang, Xiaofeng; Wang, Qi 30 2013 IMEX large time step finite volume methods for low Froude number shallow water flows. Zbl 1373.76117Bispen, Georgij; Arun, K. R.; Lukáčová-Medvid’ová, Mária; Noelle, Sebastian 30 2014 An all-regime Lagrange-projection like scheme for the gas dynamics equations on unstructured meshes. Zbl 1373.76120Chalons, Christophe; Girardin, Mathieu; Kokh, Samuel 30 2016 A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217Huang, Juan-Chen; Xu, Kun; Yu, Pubing 29 2013 Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi 29 2015 An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. Zbl 07418059Cheng, Kelong; Wang, Cheng; Wise, Steven M. 29 2019 Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034Britt, Steven; Tsynkov, Semyon; Turkel, Eli 28 2011 Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping 28 2006 Simulations of compressible two-medium flow by Runge-Kutta discontinuous Galerkin methods with the ghost fluid method. Zbl 1195.76262Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong 28 2008 Truncation errors, exact and heuristic stability analysis of two-relaxation-times lattice Boltzmann schemes for anisotropic advection-diffusion equation. Zbl 1373.76241Ginzburg, Irina 28 2012 Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362Toro, Eleuterio F.; Siviglia, Annunziato 28 2013 A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. Zbl 1488.65367Yan, Yue; Chen, Wenbin; Wang, Cheng; Wise, Steven M. 28 2018 Efficient implicit non-linear LU-SGS approach for compressible flow computation using high-order spectral difference method. Zbl 1364.76139Sun, Yuzhi; Wang, Z. J.; Liu, Yen 27 2009 Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422Liu, Chun; Shen, Jie; Yang, Xiaofeng 26 2007 PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169Malhotra, Dhairya; Biros, George 26 2015 Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097Cao, Waixiang; Li, Dongfang; Zhang, Zhimin 26 2017 A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei 26 2012 On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs. Zbl 1473.65349Shin, Yeonjong; Darbon, Jérôme; Karniadakis, George Em 26 2020 Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193Wu, J.; Shu, C. 25 2010 Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300Runborg, Olof 25 2007 Adaptive finite element modeling techniques for the Poisson-Boltzmann equation. Zbl 1373.82077Holst, M.; McCammon, J. A.; Yu, Z.; Zhou, Y. C.; Zhu, Y. 25 2012 A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016Appelo, Daniel; Petersson, N. Anders 24 2009 Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215Tang, Tao; Zhou, Tao 24 2010 Numerical simulation of moving contact lines with surfactant by immersed boundary method. Zbl 1364.76125Lai, Ming-Chih; Tseng, Yu-Hau; Huang, Huaxiong 24 2010 Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping 24 2007 Spectral-element and adjoint methods in seismology. Zbl 1183.74320Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya 24 2008 A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems. Zbl 1373.76080Chung, Eric T.; Leung, Wing Tat 24 2013 Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter. Zbl 1373.76113Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian 24 2016 Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha 24 2016 Velocity-based moving mesh methods for nonlinear partial differential equations. Zbl 1388.65094Baines, M. J.; Hubbard, M. E.; Jimack, P. K. 24 2011 Recent developments in numerical techniques for transport-based medical imaging methods. Zbl 1364.94100Ren, Kui 23 2010 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 23 2013 On diffuse interface modeling and simulation of surfactants in two-phase fluid flow. Zbl 1373.76334Engblom, Stefan; Do-Quang, Minh; Amberg, Gustav; Tornberg, Anna-Karin 23 2013 A reconstructed discontinuous Galerkin method for the Euler equations on arbitrary grids. Zbl 1388.65124Luo, Hong; Luo, Luqing; Nourgaliev, Robert 23 2012 Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089Elliott, Charles M.; Stinner, Björn 23 2013 Phase-field models for biofilms. II: 2-D numerical simulations of biofilm-flow interaction. Zbl 1365.92024Zhang, Tianyu; Cogan, Nick; Wang, Qi 22 2008 Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Zbl 1364.76225Popov, Peter; Efendiev, Yalchin; Qin, Guan 22 2009 An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303Xiu, Dongbin; Shen, Jie 22 2007 A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. Zbl 07419121Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru 22 2020 Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme. Zbl 1488.65306Yan, Yonggui; Sun, Zhi-Zhong; Zhang, Jiwei 22 2017 A new mapped WENO scheme using order-preserving mapping. Zbl 1482.65147Li, Ruo; Zhong, Wei 3 2022 An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. Zbl 1482.65226Huang, Jianguo; Wang, Haoqin; Zhou, Tao 3 2022 Convergence rate analysis for deep Ritz method. Zbl 1491.65117Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian 3 2022 A consensus-based global optimization method with adaptive momentum estimation. Zbl 07529229Chen, Jingrun; Jin, Shi; Lyu, Liyao 3 2022 A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. Zbl 1486.65242Chen, Huangxin; Pani, Amiya K.; Qiu, Weifeng 3 2022 A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 2 2022 High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. Zbl 1484.65188Ren, Yupeng; Xing, Yulong; Qiu, Jianxian 2 2022 Deep unfitted Nitsche method for elliptic interface problems. Zbl 1493.65203Guo, Hailong; Yang, Xu 2 2022 A general improvement in the WENO-Z-type schemes. Zbl 1486.65114Li, Ruo; Zhong, Wei 2 2022 Approximating the Gaussian as a sum of exponentials and its applications to the fast Gauss transform. Zbl 1486.30107Jiang, Shidong; Greengard, Leslie 1 2022 A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. Zbl 1482.65176Zhang, Min; Huang, Weizhang; Qiu, Jianxian 1 2022 A conservative and monotone characteristic finite element solver for three-dimensional transport and incompressible Navier-Stokes equations on unstructured grids. Zbl 1482.65182Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed 1 2022 Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio 1 2022 VAE-KRnet and its applications to variational Bayes. Zbl 1486.62096Wan, Xiaoliang; Wei, Shuangqing 1 2022 A DDG method with a residual-based artificial viscosity for the transonic/supersonic compressible flow. Zbl 1490.76121He, Xiaofeng; Wang, Kun; Feng, Yiwei; Liu, Tiegang; Wang, Xiaojun 1 2022 Nonlinear reduced DNN models for state estimation. Zbl 1492.65291Dahmen, Wolfgang; Wang, Min; Wang, Zhu 1 2022 Continuous finite element subgrid basis functions for discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. Zbl 1492.65261Boscheri, Walter; Dumbser, Michael; Gaburro, Elena 1 2022 Solving time dependent Fokker-Planck equations via temporal normalizing flow. Zbl 1495.65187Feng, Xiaodong; Zeng, Li; Zhou, Tao 1 2022 PFNN-2: a domain decomposed penalty-free neural network method for solving partial differential equations. Zbl 1498.65155Sheng, Hailong; Yang, Chao 1 2022 Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309Liao, Yulei; Ming, Pingbing 19 2021 A third order BDF energy stable linear scheme for the No-slope-selection thin film model. Zbl 07419705Hao, Yonghong; Huang, Qiumei; Wang, Cheng 17 2021 Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706Wight, Colby L.; Zhao, Jia 13 2021 A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem. Zbl 1473.65110Liao, Hong-Lin; McLean, William; Zhang, Jiwei 13 2021 High order conservative semi-Lagrangian scheme for the BGK model of the Boltzmann equation. Zbl 1474.65270Boscarino, Sebastiano; Cho, Seung-Yeon; Russo, Giovanni; Yun, Seok-Bae 6 2021 A wavelet-adaptive method for multiscale simulation of turbulent flows in flying insects. Zbl 1473.65101Engels, Thomas; Schneider, Kai; Reiss, Julius; Farge, Marie 4 2021 A modified adaptive improved mapped WENO method. Zbl 1482.65146Li, Ruo; Zhong, Wei 4 2021 Localized exponential time differencing method for shallow water equations: algorithms and numerical study. Zbl 1473.65141Meng, Xucheng; Hoang, Thi-Thao-phuong; Wang, Zhu; Ju, Lili 3 2021 DL-PDE: deep-learning based data-driven discovery of partial differential equations from discrete and noisy data. Zbl 07419698Xu, Hao; Chang, Haibin; Zhang, Dongxiao 3 2021 A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei 3 2021 Structure-preserving numerical methods for stochastic Poisson systems. Zbl 1481.65261Hong, Jialin; Ruan, Jialin; Sun, Liying; Wang, Lijin 3 2021 A mixed finite element scheme for quad-curl source and eigenvalue problems. Zbl 1473.65279Chen, Huangxin; Li, Jingzhi; Qiu, Weifeng; Wang, Chao 3 2021 Continuous data assimilation with a moving cluster of data points for a reaction diffusion equation: a computational study. Zbl 07419717Larios, Adam; Victor, Collin 3 2021 A hybrid immersed boundary-lattice Boltzmann method for simulation of viscoelastic fluid flows interaction with complex boundaries. Zbl 1491.76051Sedaghat, M. H.; Bagheri, A. A. H.; Shahmardan, M. M.; Norouzi, M.; Khoo, B. C.; Jayathilake, P. G. 3 2021 EMPIRE-PIC: a performance portable unstructured particle-in-cell code. Zbl 1494.78004Bettencourt, Matthew T.; Brown, Dominic A. S.; Cartwright, Keith L.; Cyr, Eric C.; Glusa, Christian A.; Lin, Paul T.; Moore, Stan G.; Mcgregor, Duncan A. O.; Pawlowski, Roger P.; Phillips, Edward G.; Roberts, Nathan V.; Wright, Steven A.; Maheswaran, Satheesh; Jones, John P.; Jarvis, Stephen A. 3 2021 Adaptive order WENO reconstructions for the semi-Lagrangian finite difference scheme for advection problem. Zbl 07423045Chen, Jiajie; Cai, Xiaofeng; Qiu, Jianxian; Qiu, Jing-Mei 3 2021 Ensemble gradient for learning turbulence models from indirect observations. Zbl 1491.76040Ströfer, Carlos A. Michelén; Zhang, Xin-Lei; Xiao, Heng 3 2021 An adaptive threshold dynamics method for three-dimensional wetting on rough surfaces. Zbl 1473.65149Xu, Xianmin; Ying, Wenjun 2 2021 Well-organized MZT-ME-PML approach for THz BP metasurface implementations. Zbl 1473.78015Li, Xue-Shi; Feng, Naixing; Zhang, Yuxian 2 2021 A broad class of conservative numerical methods for dispersive wave equations. Zbl 1473.65154Ranocha, Hendrik; Mitsotakis, Dimitrios; Ketcheson, David I. 2 2021 High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on tetrahedral meshes. Zbl 1474.65379Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian 2 2021 A fast time splitting finite difference approach to Gross-Pitaevskii equations. Zbl 1473.65096Caliari, Marco; Zuccher, Simone 2 2021 DAFI: an open-source framework for ensemble-based data assimilation and field inversion. Zbl 07419728Michelén Ströfer, Carlos A.; Zhang, Xin-Lei; Xiao, Heng 2 2021 On false accuracy verification of UMUSCL scheme. Zbl 1473.65118Nishikawa, Hiroaki 2 2021 Enforcing imprecise constraints on generative adversarial networks for emulating physical systems. Zbl 1490.76120Zeng, Yang; Wu, Jin-Long; Xiao, Heng 2 2021 High order discretely well-balanced methods for arbitrary hydrostatic atmospheres. Zbl 1490.76141Berberich, Jonas P.; Käppeli, Roger; Chandrashekar, Praveen; Klingenberg, Christian 2 2021 A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui 2 2021 A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. Zbl 1473.65227Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian 2 2021 Numerical approximations of phase field models using a general class of linear time-integration schemes. Zbl 1482.65139Chen, Lizhen; Zhang, Zengyan; Zhao, Jia 2 2021 Full discretization scheme for the dynamics of elliptic membrane shell model. Zbl 1473.65315Shen, Xiaoqin; Yang, Qian; Bai, Lin; Li, Kaitai 1 2021 Natural convection heat transfer in a porous cavity with sinusoidal temperature distribution using Cu/water nanofluid: double MRT lattice Boltzmann method. Zbl 1480.76113Sajjadi, Hasan; Delouei, Amin Amiri; Mohebbi, Rasul; Izadi, Mohsen; Succi, Sauro 1 2021 A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation. Zbl 1474.65465Leng, Wei; Ju, Lili 1 2021 Discrete-velocity vector-BGK models based numerical methods for the incompressible Navier-Stokes equations. Zbl 1473.65130Zhao, Jin 1 2021 Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study. Zbl 1480.76166Cao, Yangyang; Ghazizadeh, Mohammad A.; LeFloch, Philippe G. 1 2021 The immersed interface method for non-smooth rigid objects in incompressible viscous flows. Zbl 1480.76084Liu, Yang; Xu, Sheng 1 2021 A sufficient and necessary condition of the existence of WENO-like linear combination for finite difference schemes. Zbl 1473.65109Kang, Jian; Li, Xinliang 1 2021 One-dimensional blood flow with discontinuous properties and transport: mathematical analysis and numerical schemes. Zbl 1480.76171Spilimbergo, Alessandra; Toro, Eleuterio F.; Müller, Lucas O. 1 2021 Algebraic multigrid block preconditioning for multi-group radiation diffusion equations. Zbl 1473.65031Yue, Xiaoqiang; Zhang, Shulei; Xu, Xiaowen; Shu, Shi; Shi, Weidong 1 2021 Investigation of Riemann solver with internal reconstruction (RSIR) for the Euler equations. Zbl 1473.35419Chiapolino, Alexandre; Saurel, Richard; Toro, Eleuterio 1 2021 A mortar spectral element method for full-potential electronic structure calculations. Zbl 1475.65182Guo, Yichen; Jia, Lueling; Chen, Huajie; Li, Huiyuan; Zhang, Zhimin 1 2021 Fast one-dimensional convolution with general kernels using sum-of-exponential approximation. Zbl 07419727Zhang, Yong; Zhuang, Chijie; Jiang, Shidong 1 2021 Two nonlinear positivity-preserving finite volume schemes for three-dimensional heat conduction equations on general polyhedral meshes. Zbl 1474.65315Liu, Menghuan; Shu, Shi; Yuan, Guangwei; Yue, Xiaoqiang 1 2021 An understanding of the physical solutions and the blow-up phenomenon for nonlinear noisy leaky integrate and fire neuronal models. Zbl 1477.35280Cáceres, María J.; Ramos-Lora, Alejandro 1 2021 A Hermite WENO method with modified ghost fluid method for compressible two-medium flow problems. Zbl 1474.65304Zhao, Zhuang; Zhang, Yong-Tao; Chen, Yibing; Qiu, Jianxian 1 2021 Shallow water moment models for bedload transport problems. Zbl 1473.65138Garres-Díaz, José; Díaz, Manuel J. Castro; Koellermeier, Julian; de Luna, Tomás Morales 1 2021 Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. Zbl 1473.65225Zhang, Qian; Xu, Yan; Shu, Chi-Wang 1 2021 An efficient positivity-preserving finite volume scheme for the nonequilibrium three-temperature radiation diffusion equations on polygonal meshes. Zbl 1473.65145Su, Shuai; Tang, Huazhong; Wu, Jiming 1 2021 A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. Zbl 1473.65144Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris 1 2021 An augmented Lagrangian Uzawa iterative method for solving double saddle-point systems with semidefinite (2,2) block and its application to DLM/FD method for elliptic interface problems. Zbl 1473.65043Wang, Cheng; Sun, Pengtao 1 2021 Linear stability analysis and gas kinetic scheme (GKS) simulations of instabilities in compressible plane Poiseuille flow. Zbl 1485.76038Mittal, Ankita; Sharma, Bajrang; Girimaji, Sharath S. 1 2021 Consistent forcing scheme in the simplified lattice Boltzmann method for incompressible flows. Zbl 1485.76066Gao, Yuan; Yang, Liuming; Yu, Yang; Hou, Guoxiang; Hou, Zhongbao 1 2021 Extended physics-informed neural networks (XPINNs): a generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations. Zbl 07419158Jagtap, Ameya D.; Karniadakis, George Em 33 2020 On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs. Zbl 1473.65349Shin, Yeonjong; Darbon, Jérôme; Karniadakis, George Em 26 2020 A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. Zbl 07419121Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru 22 2020 An adaptive surrogate modeling based on deep neural networks for large-scale Bayesian inverse problems. Zbl 1482.65206Yan, Liang; Zhou, Tao 12 2020 Finite neuron method and convergence analysis. Zbl 1473.65350Xu, Jinchao 10 2020 A novel full-Euler low Mach number IMEX splitting. Zbl 07418366Zeifang, Jonas; Schütz, Jochen; Kaiser, Klaus; Beck, Andrea; Lukáčová-Medvid’ová, Maria; Noelle, Sebastian 10 2020 A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046Yu, Jian; Hesthaven, Jan S. 10 2020 Frequency principle: Fourier analysis sheds light on deep neural networks. Zbl 07419150Xu, Zhi-Qin John; Zhang, Yaoyu; Luo, Tao; Xiao, Yanyang; Ma, Zheng 9 2020 Machine learning and computational mathematics. Zbl 1473.00035E, Weinan 8 2020 Deep network approximation characterized by number of neurons. Zbl 07419151Shen, Zuowei; Yang, Haizhao; Zhang, Shijun 7 2020 Multi-scale deep neural network (MscaleDNN) for solving Poisson-Boltzmann equation in complex domains. Zbl 1473.65348Liu, Ziqi; Cai, Wei; Xu, Zhi-Qin John 7 2020 Fully decoupled, linear and unconditionally energy stable schemes for the binary fluid-surfactant model. Zbl 07419138Qin, Yuzhe; Xu, Zhen; Zhang, Hui; Zhang, Zhengru 6 2020 Dying ReLU and initialization: theory and numerical examples. Zbl 07419148Lu, Lu; Shin, Yeonjong; Su, Yanhui; Karniadakis, George Em 6 2020 Better approximations of high dimensional smooth functions by deep neural networks with rectified power units. Zbl 1474.65031Li, Bo; Tang, Shanshan; Yu, Haijun 6 2020 Convolution neural network shock detector for numerical solution of conservation laws. Zbl 07419160Sun, Zheng; Wang, Shuyi; Chang, Lo-Bin; Xing, Yulong; Xiu, Dongbin 5 2020 Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations. Zbl 1473.65251Becker, Sebastian; Braunwarth, Ramon; Hutzenthaler, Martin; Jentzen, Arnulf; von Wurstemberger, Philippe 5 2020 Performance enhancement for high-order gas-kinetic scheme based on WENO-adaptive-order reconstruction. Zbl 1480.76079Ji, Xing; Xu, Kun 4 2020 An all speed second order IMEX relaxation scheme for the Euler equations. Zbl 1480.76083Thomann, Andrea; Zenk, Markus; Puppo, Gabriella; Klingenberg, Christian 4 2020 \(H^2\)-conforming methods and two-grid discretizations for the elastic transmission eigenvalue problem. Zbl 1473.65283Yang, Yidu; Han, Jiayu; Bi, Hai 4 2020 Multi-scale deep neural network (MscaleDNN) methods for oscillatory Stokes flows in complex domains. Zbl 1473.35541Wang, Bo; Zhang, Wenzhong; Cai, Wei 4 2020 A conservative numerical method for the Cahn-Hilliard equation with generalized mobilities on curved surfaces in three-dimensional space. Zbl 1486.65107Jeong, Darae; Li, Yibao; Lee, Chaeyoung; Yang, Junxiang; Kim, Junseok 4 2020 Entropies and symmetrization of hyperbolic stochastic Galerkin formulations. Zbl 07418512Gerster, Stephan; Herty, Michael 4 2020 Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. Zbl 1473.65263Liu, Hailiang; Maimaitiyiming, Wumaier 4 2020 A kernel-independent treecode based on barycentric Lagrange interpolation. Zbl 1473.65025Wang, Lei; Krasny, Robert; Tlupova, Svetlana 3 2020 A high order central DG method of the two-layer shallow water equations. Zbl 1473.65187Cheng, Yongping; Dong, Haiyun; Li, Maojun; Xian, Weizhi 3 2020 A high-order cell-centered discontinuous Galerkin multi-material arbitrary Lagrangian-Eulerian method. Zbl 1473.65212Qing, Fang; Yu, Xijun; Jia, Zupeng; Qiu, Meilan; Zhao, Xiaolong 3 2020 Random batch algorithms for quantum Monte Carlo simulations. Zbl 1473.65008Jin, Shi; Li, Xiantao 3 2020 An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation. Zbl 1473.65223Zhang, Min; Cheng, Juan; Huang, Weizhang; Qiu, Jianxian 3 2020 A decoupled and positivity-preserving DDFVS scheme for diffusion problems on polyhedral meshes. Zbl 1473.65136Dong, Qiannan; Su, Shuai; Wu, Jiming 3 2020 Modified ghost fluid method with axisymmetric source correction (MGFM/ASC). Zbl 07419109Feng, Chengliang; Liu, Tiegang; Xu, Liang; Yu, Changsheng 2 2020 ...and 1049 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,566 Authors 79 Shu, Chi-Wang 74 Dumbser, Michael 53 Xu, Kun 50 Yang, Xiaofeng 49 Huang, Yunqing 48 Chung, Tsz Shun Eric 48 Kurganov, Alexander 47 Qiu, Jianxian 39 Carrillo de la Plata, José Antonio 39 Kim, Junseok 36 Tang, Huazhong 36 Zhu, Jun 34 Liu, Hailiang 34 Liu, Tiegang 33 Li, Ruo 32 Xu, Yan 32 Yuan, Guangwei 31 Antoine, Xavier 31 Wang, Cheng 30 Boscheri, Walter 30 Shen, Jie 29 Chen, Yanping 29 Zhang, Jiwei 28 Efendiev, Yalchin R. 28 Hu, Guanghui 28 Loubère, Raphaël 28 Xing, Yulong 27 Gassner, Gregor J. 27 Wang, Zhijian 26 Chertock, Alina E. 25 He, Xiaoming 25 Karniadakis, George Em 25 Sun, Shuyu 25 Zhao, Jia 24 Dehghan Takht Fooladi, Mehdi 24 Li, Jichun 24 Qiu, Jingmei 24 Russo, Giovanni 24 Toro, Eleuterio Francisco 23 Huang, Weizhang 23 Jin, Shi 23 Tang, Tao 23 Wise, Steven M. 22 Wang, Qi 22 Yang, Junxiang 22 Zhou, Tao 21 Balsara, Dinshaw S. 21 Luo, Hong 21 Sun, Haiwei 21 Wang, Hong 21 Xia, Yinhua 20 Nordström, Jan 20 Xiu, Dongbin 19 Lai, Mingchih 19 Leung, Wingtat 19 Li, Qin 19 Titarev, Vladimir A. 19 Vasilyeva, Maria V. 19 Winters, Andrew R. 18 Abgrall, Rémi 18 Feng, Xinlong 18 Hong, Jialin 18 Kou, Jisheng 18 Li, Zhilin 18 Liang, Dong 18 Miranville, Alain M. 18 Zhai, Qilong 17 Cheng, Jian 17 Deng, Xiaogang 17 He, Yinnian 17 Liu, Chun 17 Lorin, Emmanuel 17 Lowengrub, John Samuel 17 Wang, Yushun 16 Cai, Wei 16 Cai, Zhenning 16 Du, Qiang 16 Gong, Yuezheng 16 Guo, Wei 16 Guo, Zhaoli 16 Hesthaven, Jan S. 16 Iollo, Angelo 16 Kreiss, Gunilla 16 Li, Yibao 16 Narayan, Akil C. 16 Pareschi, Lorenzo 16 Shyy, Wei 16 Wang, Lilian 16 Xiao, Feng 16 Zheng, Chunxiong 15 Chen, Ke 15 Chen, Wenbin 15 Degond, Pierre 15 Fox, Rodney O. 15 Khoo, Boo Cheong 15 Li, Peijun 15 Lin, Guang 15 Liu, Xin 15 Lu, Benzhuo 15 Sjogreen, Bjorn ...and 9,466 more Authors all top 5 Cited in 373 Journals 1,594 Journal of Computational Physics 501 Journal of Scientific Computing 429 Computers and Fluids 284 Journal of Computational and Applied Mathematics 284 Communications in Computational Physics 268 Computer Methods in Applied Mechanics and Engineering 239 Computers & Mathematics with Applications 205 SIAM Journal on Scientific Computing 175 Applied Mathematics and Computation 172 Applied Numerical Mathematics 94 Journal of Fluid Mechanics 79 SIAM Journal on Numerical Analysis 77 Advances in Applied Mathematics and Mechanics 70 Numerische Mathematik 62 International Journal of Computer Mathematics 62 Multiscale Modeling & Simulation 60 Numerical Algorithms 57 Mathematics and Computers in Simulation 57 Engineering Analysis with Boundary Elements 56 Advances in Computational Mathematics 53 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 51 International Journal for Numerical Methods in Engineering 50 Mathematics of Computation 50 Applied Mathematical Modelling 45 East Asian Journal on Applied Mathematics 44 Computational Mechanics 44 Numerical Methods for Partial Differential Equations 44 Computational Geosciences 40 BIT 37 Discrete and Continuous Dynamical Systems. 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