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 Comments: Journal Documents Indexed: 1,836 Publications (since 2006) References Indexed: 796 Publications with 34,475 References. all top 5 Latest Issues 34, No. 5 (2023) 34, No. 4 (2023) 34, No. 3 (2023) 34, No. 2 (2023) 34, No. 1 (2023) 33, No. 5 (2023) 33, No. 4 (2023) 33, No. 3 (2023) 33, No. 2 (2023) 33, No. 1 (2023) 32, No. 5 (2022) 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) ...and 68 more Volumes all top 5 Authors 23 Shu, Chi-Wang 18 Liu, Tiegang 18 Xu, Kun 17 Cai, Wei 17 Succi, Sauro 16 Li, Ruo 16 Yuan, Guangwei 16 Zhang, Pingwen 14 Qiu, Jianxian 14 Zhang, Zhimin 13 Xu, Yan 12 Sjogreen, Bjorn 12 Tang, Tao 11 Hu, Guanghui 11 Huang, Yunqing 11 Khoo, Boo Cheong 11 Sheu, Tony Wen-Hann 11 Ying, Wenjun 10 Guo, Zhaoli 10 Huang, Huaxiong 10 Shi, Baochang 9 Bao, Weizhu 9 Du, Qiang 9 E, Weinan 9 Hesthaven, Jan S. 9 Karniadakis, George Em 9 Kurganov, Alexander 9 Shen, Jie 9 Toro, Eleuterio Francisco 9 Xiu, Dongbin 9 Zhang, Jiwei 8 Chai, Zhenhua 8 Chen, Wenbin 8 Chung, Tsz Shun Eric 8 Cui, Junzhi 8 Efendiev, Yalchin R. 8 Filippi, Simonetta 8 Ju, Lili 8 Liang, Dong 8 Liu, Hailiang 8 Mishra, Siddhartha 8 Tang, Huazhong 8 Xia, Yinhua 8 Xu, Chuanju 8 Xu, Zhenli 8 Zheng, Chunxiong 8 Zhu, Jun 7 Brull, Stephane 7 Cao, Yanzhao 7 Chen, Shiyi 7 Cherubini, Christian 7 Deng, Xiaogang 7 Dumbser, Michael 7 Falcucci, Giacomo 7 Han, Houde 7 Hong, Jialin 7 Jin, Shi 7 Li, Peijun 7 Liu, Jianguo 7 Ming, Pingbing 7 Sheng, Zhiqiang 7 Shu, Shi 7 Sun, Pengtao 7 Tian, Baolin 7 Wang, Zhijian 7 Xiao, Heng 7 Yang, Jerry Zhijian 7 Zeng, Tie Yong 7 Zhou, Tao 6 Antoine, Xavier 6 Bao, Gang 6 Chen, Ching-Shyang 6 Cheng, Juan 6 Diaz, Julien 6 Dutykh, Denys 6 Fu, Lin 6 Gunzburger, Max D. 6 Huang, Jingfang 6 Jiang, Song 6 Khakimzyanov, Gayaz Salimovich 6 Leung, Shingyu 6 Li, Jingzhi 6 Li, Zhihui 6 Li, Zhilin 6 Lin, Guang 6 Lin, Ping 6 Lu, Benzhuo 6 Nakshatrala, Kalyana B. 6 Petersson, N. Anders 6 Russo, Giovanni 6 Tan, Zhijun 6 Toschi, Federico 6 Wang, Cheng 6 Wang, Desheng 6 Wang, Yushun 6 Wise, Steven M. 6 Xing, Yulong 6 Yue, Xiaoqiang 6 Zhang, Bo 6 Zhang, Hui ...and 3,346 more Authors all top 5 Fields 1,194 Numerical analysis (65-XX) 818 Fluid mechanics (76-XX) 519 Partial differential equations (35-XX) 193 Mechanics of deformable solids (74-XX) 160 Statistical mechanics, structure of matter (82-XX) 135 Optics, electromagnetic theory (78-XX) 102 Computer science (68-XX) 96 Biology and other natural sciences (92-XX) 81 Geophysics (86-XX) 71 Quantum theory (81-XX) 52 Probability theory and stochastic processes (60-XX) 51 Classical thermodynamics, heat transfer (80-XX) 42 Statistics (62-XX) 32 Dynamical systems and ergodic theory (37-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Information and communication theory, circuits (94-XX) 24 Integral equations (45-XX) 21 Approximations and expansions (41-XX) 17 Ordinary differential equations (34-XX) 16 Operations research, mathematical programming (90-XX) 16 Systems theory; control (93-XX) 15 Mechanics of particles and systems (70-XX) 14 General and overarching topics; collections (00-XX) 11 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) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 2 Potential theory (31-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) 2 Mathematics education (97-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 1,388 Publications have been cited 13,274 times in 9,503 Documents Cited by ▼ Year ▼ Heterogeneous multiscale methods: a review. Zbl 1164.65496 E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric 203 2007 Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 1488.65247 Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin 200 2017 Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation. Zbl 1364.35424 Li, Xianjuan; Xu, Chuanju 199 2010 Phase-field models for multi-component fluid flows. Zbl 1373.76030 Kim, Junseok 184 2012 Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205 Xu, Yan; Shu, Chi-Wang 155 2010 A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178 Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim 139 2008 Fast numerical methods for stochastic computations: a review. Zbl 1364.65019 Xiu, Dongbin 127 2009 Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121 Chandrashekar, Praveen 119 2013 Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302 Xiu, Dongbin 116 2007 Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001 Hou, Gene; Wang, Jin; Layton, Anita 108 2012 A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077 Carrillo, José A.; Chertock, Alina; Huang, Yanghong 107 2015 Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177 Zhang, Yong-Tao; Shu, Chi-Wang 95 2009 Analysis of \(L1\)-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 1488.65431 Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei 94 2018 All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129 Degond, Pierre; Tang, Min 92 2011 Extended physics-informed neural networks (XPINNs): a generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations. Zbl 07419158 Jagtap, Ameya D.; Karniadakis, George Em 90 2020 A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. Zbl 1488.65367 Yan, Yue; Chen, Wenbin; Wang, Cheng; Wise, Steven M. 88 2018 Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265 Shen, Jie; Wang, Li-Lian 83 2009 A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064 Marzouk, Youssef; Xiu, Dongbin 82 2009 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125 Dumbser, Michael; Toro, Eleuterio F. 81 2011 The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200 Liu, Hailiang; Yan, Jue 78 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 1115.65096 Xing, Yulong; Shu, Chi-Wang 77 2006 Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Zbl 1186.92005 Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A. 76 2008 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455 Kurganov, Alexander; Lin, Chitien 75 2007 Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme. Zbl 1488.65306 Yan, Yonggui; Sun, Zhi-Zhong; Zhang, Jiwei 74 2017 An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284 Haack, Jeffrey; Jin, Shi; Liu, Jian-guo 67 2012 An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. Zbl 1518.65115 Cheng, Kelong; Wang, Cheng; Wise, Steven M. 67 2019 Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009 Gottlieb, David; Xiu, Dongbin 66 2008 On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs. Zbl 1473.65349 Shin, Yeonjong; Darbon, Jérôme; Karniadakis, George Em 66 2020 A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137 Loubère, Raphaël; Dumbser, Michael; Diot, Steven 65 2014 An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072 Zhang, Zhengru; Qiao, Zhonghua 64 2012 A high-order multidomain spectral difference method for the Navier-Stokes equations on unstructured hexahedral grids. Zbl 1164.76360 Sun, Yuzhi; Wang, Z. J.; Liu, Yen 63 2007 Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381 Liska, Richard; Shashkov, Mikhail 58 2008 A unified gas-kinetic scheme for continuum and rarefied flows. II: Multi-dimensional cases. Zbl 1373.76216 Huang, Juan-Chen; Xu, Kun; Yu, Pubing 58 2012 On the order of accuracy and numerical performance of two classes of finite volume WENO schemes. Zbl 1364.65176 Zhang, Rui; Zhang, Mengping; Shu, Chi-Wang 58 2011 Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109 Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria 58 2011 WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121 Titarev, V. A.; Tsoutsanis, P.; Drikakis, D. 55 2010 An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161 Collins, Craig; Shen, Jie; Wise, Steven M. 53 2013 Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146 Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael 53 2014 A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem. Zbl 1473.65110 Liao, Hong-Lin; McLean, William; Zhang, Jiwei 49 2021 Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049 van Leer, B. 47 2006 Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117 Chen, Feng; Shen, Jie 47 2013 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075 Boscheri, Walter; Dumbser, Michael 46 2013 Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation. Zbl 1373.76026 Dijkstra, 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 46 2014 Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138 Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel 45 2011 Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203 Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 45 2009 Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124 Huang, Weizhang 43 2006 A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027 Gesho, Masakazu; Olson, Eric; Titi, Edriss S. 43 2016 A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156 Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 41 2014 An all-regime Lagrange-projection like scheme for the gas dynamics equations on unstructured meshes. Zbl 1373.76120 Chalons, Christophe; Girardin, Mathieu; Kokh, Samuel 41 2016 A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226 Hu, Guanghui; Li, Ruo; Tang, Tao 41 2011 On the volume conservation of the immersed boundary method. Zbl 1373.74098 Griffith, Boyce E. 40 2012 Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130 Chen, Minghua; Deng, Weihua 39 2014 Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066 Qiu, Jing-Mei; Shu, Chi-Wang 39 2011 Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362 Toro, Eleuterio F.; Siviglia, Annunziato 38 2013 Exponentially-convergent strategies for defeating the Runge phenomenon for the approximation of non-periodic functions. I: Single-interval schemes. Zbl 1364.65025 Boyd, John P.; Ong, Jun Rong 38 2009 Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008 Joly, P.; Li, J.-R.; Fliss, S. 37 2006 A compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018 Mathelin, L.; Gallivan, K. A. 37 2012 Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706 Wight, Colby L.; Zhao, Jia 37 2021 A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108 Zhai, Qilong; Zhang, Ran; Mu, Lin 36 2016 Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309 Liao, Yulei; Ming, Pingbing 36 2021 Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084 Titarev, V. A. 35 2012 Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317 Shen, Jie; Yang, Xiaofeng; Wang, Qi 35 2013 Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119 Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun 35 2014 Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127 Narayan, Akil; Zhou, Tao 35 2015 PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169 Malhotra, Dhairya; Biros, George 35 2015 Lumped parameter outflow models for 1-D blood flow simulations: effect on pulse waves and parameter estimation. Zbl 1364.76248 Alastruey, J.; Parker, K. H.; Peiro, J.; Sherwin, S. J. 35 2008 A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Zbl 1364.76111 Cheng, Juan; Shu, Chi-Wang 35 2008 A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. Zbl 1528.65045 Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru 35 2020 A third order BDF energy stable linear scheme for the no-slope-selection thin film model. Zbl 1528.65086 Hao, Yonghong; Huang, Qiumei; Wang, Cheng 35 2021 Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057 Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi 34 2015 Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140 Puppo, Gabriella; Semplice, Matteo 34 2011 Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085 Dolejsi, Vit 34 2008 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225 He, X.-M.; Lin, T.; Lin, Y. 34 2009 Fourth order exponential time differencing method with local discontinuous Galerkin approximation for coupled nonlinear Schrödinger equations. Zbl 1388.65086 Liang, Xiao; Khaliq, A. Q. M.; Xing, Yulong 33 2015 A parallel, reconstructed discontinuous Galerkin method for the compressible flows on arbitrary grids. Zbl 1364.76090 Luo, Hong; Luo, Luqing; Ali, Amjad; Nourgaliev, Robert; Cai, Chunpei 33 2011 Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422 Liu, Chun; Shen, Jie; Yang, Xiaofeng 33 2007 On linear and unconditionally energy stable algorithms for variable mobility Cahn-Hilliard type equation with logarithmic Flory-Huggins potential. Zbl 1473.65218 Yang, Xiaofeng; Zhao, Jia 33 2019 A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217 Huang, Juan-Chen; Xu, Kun; Yu, Pubing 32 2013 IMEX large time step finite volume methods for low Froude number shallow water flows. Zbl 1373.76117 Bispen, Georgij; Arun, K. R.; Lukáčová-Medvid’ová, Mária; Noelle, Sebastian 32 2014 Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097 Cao, Waixiang; Li, Dongfang; Zhang, Zhimin 32 2017 Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034 Britt, Steven; Tsynkov, Semyon; Turkel, Eli 32 2011 Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079 Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping 31 2006 Simulations of compressible two-medium flow by Runge-Kutta discontinuous Galerkin methods with the ghost fluid method. Zbl 1195.76262 Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong 31 2008 Truncation errors, exact and heuristic stability analysis of two-relaxation-times lattice Boltzmann schemes for anisotropic advection-diffusion equation. Zbl 1373.76241 Ginzburg, Irina 31 2012 Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter. Zbl 1373.76113 Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian 31 2016 Adaptive finite element modeling techniques for the Poisson-Boltzmann equation. Zbl 1373.82077 Holst, M.; McCammon, J. A.; Yu, Z.; Zhou, Y. C.; Zhu, Y. 31 2012 Numerical approximations for Allen-Cahn type phase field model of two-phase incompressible fluids with moving contact lines. Zbl 1488.65266 Ma, Lina; Chen, Rui; Yang, Xiaofeng; Zhang, Hui 31 2017 Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193 Wu, J.; Shu, C. 30 2010 Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089 Elliott, Charles M.; Stinner, Björn 29 2013 Multi-scale deep neural network (MscaleDNN) for solving Poisson-Boltzmann equation in complex domains. Zbl 1473.65348 Liu, Ziqi; Cai, Wei; Xu, Zhi-Qin John 29 2020 A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091 Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei 28 2012 Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143 Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha 28 2016 Two-grid method for miscible displacement problem by mixed finite element methods and mixed finite element method of characteristics. Zbl 1373.76079 Chen, Yanping; Hu, Hanzhang 28 2016 A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016 Appelo, Daniel; Petersson, N. Anders 28 2009 Efficient implicit non-linear LU-SGS approach for compressible flow computation using high-order spectral difference method. Zbl 1364.76139 Sun, Yuzhi; Wang, Z. J.; Liu, Yen 28 2009 Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456 Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping 28 2007 On diffuse interface modeling and simulation of surfactants in two-phase fluid flow. Zbl 1373.76334 Engblom, Stefan; Do-Quang, Minh; Amberg, Gustav; Tornberg, Anna-Karin 27 2013 Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field. Zbl 1373.82075 Frénod, Emmanuel; Hirstoaga, Sever A.; Lutz, Mathieu; Sonnendrücker, Eric 27 2015 Computing the ground and first excited states of the fractional Schrödinger equation in an infinite potential well. Zbl 1388.65051 Duo, Siwei; Zhang, Yanzhi 27 2015 Velocity-based moving mesh methods for nonlinear partial differential equations. Zbl 1388.65094 Baines, M. J.; Hubbard, M. E.; Jimack, P. K. 27 2011 A decreasing upper bound of the energy for time-fractional phase-field equations. Zbl 1514.65105 Quan, Chaoyu; Tang, Tao; Wang, Boyi; Yang, Jiang 5 2023 Entropic multi-relaxation-time lattice Boltzmann model for large density ratio two-phase flows. Zbl 1524.76490 Hosseini, S. A.; Dorschner, B.; Karlin, I. V. 3 2023 A characteristic boundary condition for multispeed lattice Boltzmann methods. Zbl 1524.76286 Klass, Friedemann; Gabbana, Alessandro; Bartel, Andreas 3 2023 Convergence of physics-informed neural networks applied to linear second-order elliptic interface problems. Zbl 1509.65145 Wu, Sidi; Zhu, Aiqing; Tang, Yifa; Lu, Benzhuo 3 2023 The bulk-surface virtual element method for reaction-diffusion PDEs: analysis and applications. Zbl 07708276 Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne 2 2023 Efficient splitting methods based on modified potentials: numerical integration of linear parabolic problems and imaginary time propagation of the Schrödinger equation. Zbl 1514.65115 Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild 2 2023 Numerical solution of the incompressible Navier-Stokes equation by a deep branching Algorithm. Zbl 07738853 Nguwi, Jiang Yu; Penent, Guillaume; Privault, Nicolas 2 2023 Neural networks with local converging inputs (NNLCI) for solving conservation laws. I: 1D problems. Zbl 1519.65018 Huang, Haoxiang; Yang, Vigor; Liu, Yingjie 2 2023 Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes. Zbl 1512.74099 Park, Jea-Hyun; Salgado, Abner J.; Wise, Steven M. 2 2023 Sixth-order compact finite difference method for 2D Helmholtz equations with singular sources and reduced pollution effect. Zbl 07783557 Feng, Qiwei; Han, Bin; Michelle, Michelle 1 2023 A normalizing field flow induced two-stage stochastic homogenization method for random composite materials. Zbl 07783560 Yang, Zihao; Wang, Xintong; Guan, Xiaofei; Huang, Jizu; Wu, Xixin 1 2023 Fifth-order A-WENO path-conservative central-upwind scheme for behavioral non-equilibrium traffic models. Zbl 1520.76057 Chu, Shaoshuai; Kurganov, Alexander; Mohammadian, Saeed; Zheng, Zuduo 1 2023 Implicit quadrature-free direct reconstruction method for efficient scale-resolving simulations. Zbl 1524.76234 You, Hojun; Kim, Juhyun; Kim, Chongam 1 2023 Modeling thermal regulation in thin vascular systems: a mathematical analysis. Zbl 1524.35661 Nakshatrala, Kalyana B. 1 2023 A new family of nonconforming elements with \(\boldsymbol{H}(\operatorname{curl})\)-continuity for the 3D quad-curl problem. Zbl 1515.65303 Zhang, Baiju; Zhang, Zhimin 1 2023 An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications. Zbl 1514.65150 Hu, Wei-Fan; Lin, Te-Sheng; Tseng, Yu-Hau; Lai, Ming-Chih 1 2023 A five-point TENO scheme with adaptive dissipation based on a new scale sensor. Zbl 07708289 Huang, Haohan; Liang, Tian; Fu, Lin 1 2023 An iterative thresholding method for the minimum compliance problem. Zbl 1514.74072 Cen, Luyu; Hu, Wei; Wang, Dong; Wang, Xiaoping 1 2023 Investigating and mitigating failure modes in physics-informed neural networks (PINNs). Zbl 1514.65146 Basir, Shamsulhaq 1 2023 Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence. Zbl 07738849 Gao, Yuan; Liu, Jian-Guo 1 2023 The effect of the width of the incident pulse to the dielectric transition layer in the scattering of an electromagnetic pulse – a qubit lattice algorithm simulation. Zbl 1512.78032 Vahala, George; Vahala, Linda; Ram, Abhay K.; Soe, Min 1 2023 Multiscale hybrid modeling of proteins in solvent: SARS-CoV2 spike protein as test case for lattice Boltzmann – all atom molecular dynamics coupling. Zbl 1508.92084 Lauricella, Marco; Chiodo, Letizia; Bonaccorso, Fabio; Durve, Mihir; Montessori, Andrea; Tiribocchi, Adriano; Loppini, Alessandro; Filippi, Simonetta; Succi, Sauro 1 2023 Lattice Boltzmann modeling of cholesteric liquid crystal droplets under an oscillatory electric field. Zbl 1520.76060 Fadda, F.; Lamura, A.; Tiribocchi, A. 1 2023 Prediction of moments in the particles on demand method for LBM. Zbl 1518.76045 Zipunova, Elizaveta; Perepelkina, Anastasia; Levchenko, Vadim; Zvezdin, German 1 2023 Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates. Zbl 1524.76537 Simeoni, Daniele; Gabbana, Alessandro; Succi, Sauro 1 2023 Hyperbolic divergence cleaning in lattice Boltzmann magnetohydrodynamics. Zbl 1524.76512 Dellar, Paul J. 1 2023 Chromodynamic lattice Boltzmann method for the simulation of drops, erythrocytes, and other vesicles. Zbl 1512.76074 Spendlove, J.; Xu, X.; Schenkel, T.; Gunn, J. P.; Halliday, I. 1 2023 Lattice Boltzmann simulations of two linear microswimmers using the immersed boundary method. Zbl 1512.76071 Geyer, D.; Ziegler, S.; Sukhov, A.; Hubert, M.; Smith, A.-S.; Aouane, O.; Malgaretti, P.; Harting, J. 1 2023 Numerical stability analysis for a stationary and translating droplet at extremely low viscosity values using the lattice Boltzmann method color-gradient multi-component model with central moments formulation. Zbl 1522.76059 Datadien, Karun P. N.; Di Staso, Gianluca; Toschi, Federico 1 2023 Effective force stabilising technique for the immersed boundary method. Zbl 1508.76084 Ghosh, Arnab; Gabbana, Alessandro; Wijshoff, Herman; Toschi, Federico 1 2023 Convergence rate analysis for deep Ritz method. Zbl 1491.65117 Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian 16 2022 Deep unfitted Nitsche method for elliptic interface problems. Zbl 1493.65203 Guo, Hailong; Yang, Xu 10 2022 A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. Zbl 1482.65176 Zhang, Min; Huang, Weizhang; Qiu, Jianxian 9 2022 An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. Zbl 1482.65226 Huang, Jianguo; Wang, Haoqin; Zhou, Tao 9 2022 A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157 Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 8 2022 Solving time dependent Fokker-Planck equations via temporal normalizing flow. Zbl 1495.65187 Feng, Xiaodong; Zeng, Li; Zhou, Tao 6 2022 A new mapped WENO scheme using order-preserving mapping. Zbl 1482.65147 Li, Ruo; Zhong, Wei 6 2022 A rate of convergence of physics informed neural networks for the linear second order elliptic PDEs. Zbl 1491.65118 Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Wang, Fengru; Wang, Yang; Yang, Jerry Zhijian 5 2022 A consensus-based global optimization method with adaptive momentum estimation. Zbl 1508.68283 Chen, Jingrun; Jin, Shi; Lyu, Liyao 5 2022 A new directional algebraic fast multipole method based iterative solver for the Lippmann-Schwinger equation accelerated with HODLR preconditioner. Zbl 1508.65149 Gujjula, Vaishnavi; Ambikasaran, Sivaram 5 2022 VAE-KRnet and its applications to variational Bayes. Zbl 1486.62096 Wan, Xiaoliang; Wei, Shuangqing 4 2022 High-order positivity-preserving well-balanced discontinuous Galerkin methods for Euler equations with gravitation on unstructured meshes. Zbl 1482.65191 Zhang, Weijie; Xing, Yulong; Xia, Yinhua; Xu, Yan 4 2022 An efficient iterative method for the formulation of flow networks. Zbl 1490.35323 Hu, Wei; Wang, Dong; Wang, Xiao-Ping 3 2022 A general improvement in the WENO-Z-type schemes. Zbl 1486.65114 Li, Ruo; Zhong, Wei 3 2022 A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. Zbl 1486.65242 Chen, Huangxin; Pani, Amiya K.; Qiu, Weifeng 3 2022 Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. Zbl 1486.65281 Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei 3 2022 Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. Zbl 1496.65120 Li, Jiayin; Shu, Chi-Wang; Qiu, Jianxian 3 2022 Physics-driven learning of the steady Navier-Stokes equations using deep convolutional neural networks. Zbl 1500.76071 Ma, Hao; Zhang, Yuxuan; Thuerey, Nils; Hu, Xiangyu; Haidn, Oskar J. 3 2022 Well-balanced central scheme for the system of MHD equations with gravitational source term. Zbl 1496.65138 Kanbar, Farah; Touma, Rony; Klingenberg, Christian 3 2022 PFNN-2: a domain decomposed penalty-free neural network method for solving partial differential equations. Zbl 1498.65155 Sheng, Hailong; Yang, Chao 3 2022 A colocalized scheme for three-temperature grey diffusion radiation hydrodynamics. Zbl 1482.65160 Chauvin, R.; Guisset, S.; Manach-Perennou, B.; Martaud, L. 3 2022 On a hybrid approach for recovering multiple obstacles. Zbl 1482.62044 Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu 3 2022 Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction. Zbl 1508.92070 Bucelli, Michele; Dede, Luca; Quarteroni, Alfio; Vergara, Christian 3 2022 Random batch particle methods for the homogeneous Landau equation. Zbl 1486.65013 Carrillo, José Antonio; Jin, Shi; Tang, Yijia 2 2022 A DDG method with a residual-based artificial viscosity for the transonic/supersonic compressible flow. Zbl 1490.76121 He, Xiaofeng; Wang, Kun; Feng, Yiwei; Liu, Tiegang; Wang, Xiaojun 2 2022 Integral equation method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1486.65234 Ma, Yunyun; Sun, Jiguang 2 2022 Some random batch particle methods for the Poisson-Nernst-Planck and Poisson-Boltzmann equations. Zbl 1492.35371 Li, Lei; Liu, Jian-Guo; Tang, Yijia 2 2022 An adaptive moving mesh method for the five-equation model. Zbl 07569001 Gu, Yaguang; Luo, Dongmi; Gao, Zhen; Chen, Yibing 2 2022 Continuous finite element subgrid basis functions for discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. Zbl 1492.65261 Boscheri, Walter; Dumbser, Michael; Gaburro, Elena 2 2022 MOD-Net: a machine learning approach via model-operator-data network for solving PDEs. Zbl 1497.35088 Zhang, Lulu; Luo, Tao; Zhang, Yaoyu; E., Weinan; Xu, Zhi-Qin John; Ma, Zheng 2 2022 Frame invariance and scalability of neural operators for partial differential equations. Zbl 1495.65202 Zafar, Muhammad I.; Han, Jiequn; Zhou, Xu-Hui; Xiao, Heng 2 2022 A NURBS-enhanced finite volume method for steady Euler equations with goal-oriented \(h\)-adaptivity. Zbl 1497.76058 Meng, Xucheng; Hu, Guanghui 2 2022 Fourier collocation and reduced basis methods for fast modeling of compressible flows. Zbl 1500.76064 Yu, Jian; Ray, Deep; Hesthaven, Jan S. 2 2022 A new artificial neural network method for solving Schrödinger equations on unbounded domains. Zbl 1498.65189 Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. 2 2022 High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. Zbl 1484.65188 Ren, Yupeng; Xing, Yulong; Qiu, Jianxian 2 2022 A conservative and monotone characteristic finite element solver for three-dimensional transport and incompressible Navier-Stokes equations on unstructured grids. Zbl 1482.65182 Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed 2 2022 High order deep neural network for solving high frequency partial differential equations. Zbl 07493166 Chang, Zhipeng; Li, Ke; Zou, Xiufen; Xiang, Xueshuang 2 2022 Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011 Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio 2 2022 Anomalous sorption kinetics of self-interacting particles by a spherical trap. Zbl 1493.92024 Raudino, Antonio; Grassi, Antonio; Lombardo, Giuseppe; Russo, Giovanni; Astuto, Clarissa; Corti, Mario 2 2022 VPVnet: a velocity-pressure-vorticity neural network method for the Stokes’ equations under reduced regularity. Zbl 1492.76040 Liu, Yujie; Yang, Chao 2 2022 Incorporating the maximum entropy on the mean framework with kernel error for robust non-blind image deblurring. Zbl 1482.65087 Wong, Hok Shing; Zhang, Hao; Li, Lihua; Zeng, Tieyong; Fang, Yingying 2 2022 Active nematodynamics on curved surfaces – the influence of geometric forces on motion patterns of topological defects. Zbl 07493183 Nestler, Michael; Voigt, Axel 2 2022 Tuning symplectic integrators is easy and worthwhile. Zbl 1482.65228 McLachlan, Robert I. 2 2022 An adaptive modal discontinuous Galerkin finite element parallel method using unsplit multi-axial perfectly matched layer for seismic wave modeling. Zbl 1486.86001 Xu, Yang; Chen, Xiaofei; Zhang, Wei; Pan, Xiao 1 2022 Numerical integrators for dispersion-managed KdV equation. Zbl 1486.65143 He, Ying; Zhao, Xiaofei 1 2022 The hyperbolic Schrödinger equation and the quantum lattice Boltzmann approximation. Zbl 1490.81072 Spigler, Renato 1 2022 Nonlinear reduced DNN models for state estimation. Zbl 1492.65291 Dahmen, Wolfgang; Wang, Min; Wang, Zhu 1 2022 An improved peridynamic model with energy-based micromodulus correction method for fracture in particle reinforced composites. Zbl 1497.74072 Yang, Zihao; Zheng, Shaoqi; Han, Fei; Shen, Shangkun; Guan, Xiaofei 1 2022 A quantitative comparison of physical accuracy and numerical stability of lattice Boltzmann color gradient and pseudopotential multicomponent models for microfluidic applications. Zbl 1497.76062 Datadien, Karun P. N.; Di Staso, Gianluca; Wijshoff, Herman M. A.; Toschi, Federico 1 2022 A holomorphic operator function approach for the transmission eigenvalue problem of elastic waves. Zbl 1495.65204 Xi, Yingxia; Ji, Xia 1 2022 Numerical identification of nonlocal potentials in aggregation. Zbl 1500.65054 He, Yuchen; Kang, Sung Ha; Liao, Wenjing; Liu, Hao; Liu, Yingjie 1 2022 Transition pathways in cylinder-gyroid interface. Zbl 1496.82027 Yao, Xiaomei; Xu, Jie; Zhang, Lei 1 2022 Two physics-based Schwarz preconditioners for three-temperature radiation diffusion equations in high dimensions. Zbl 1497.65066 Yue, Xiaoqiang; He, Jianmeng; Xu, Xiaowen; Shu, Shi; Wang, Libo 1 2022 A high-order direct discontinuous Galerkin method for variable density incompressible flows. Zbl 1500.65076 Zhang, Fan; Liu, Tiegang 1 2022 High-order unified gas-kinetic scheme. Zbl 1498.65144 Lim, Gyuha; Zhu, Yajun; Xu, Kun 1 2022 A weak Galerkin mixed finite element method for second order elliptic equations on 2D curved domains. Zbl 1498.65204 Liu, Yi; Chen, Wenbin; Wang, Yanqiu 1 2022 Approximating the Gaussian as a sum of exponentials and its applications to the fast Gauss transform. Zbl 1486.30107 Jiang, Shidong; Greengard, Leslie 1 2022 A deep spatio-temporal forecasting model for multi-site weather prediction post-processing. Zbl 1482.86030 Kong, Wenjia; Li, Haochen; Yu, Chen; Xia, Jiangjiang; Kang, Yanyan; Zhang, Pingwen 1 2022 A deep learning modeling framework to capture mixing patterns in reactive-transport systems. Zbl 1507.35182 Jagtap, N. V.; Mudunuru, M. K.; Nakshatrala, K. B. 1 2022 Immersed boundary approach to biofilm spread on surfaces. Zbl 1486.92117 Carpio, Ana; González-Albaladejo, Rafael 1 2022 Fractional buffer layers: absorbing boundary conditions for wave propagation. Zbl 1485.35376 Cai, Min; Kharazmi, Ehsan; Li, Changpin; Karniadakis, George Em 1 2022 An LDG method for stochastic Cahn-Hilliard type equation driven by general multiplicative noise involving second-order derivative. Zbl 1482.65016 Zhou, Li; Li, Yunzhang 1 2022 A mixed wavelet-learning method of predicting macroscopic effective heat transfer conductivities of braided composite materials. Zbl 1492.74007 Dong, Hao; Kou, Wenbo; Han, Junyan; Linghu, Jiale; Zou, Minqiang; Cui, Junzhi 1 2022 Unified gas-kinetic wave-particle methods. VI: Disperse dilute gas-particle multiphase flow. Zbl 1482.65166 Yang, Xiaojian; Liu, Chang; Ji, Xing; Shyy, Wei; Xu, Kun 1 2022 Kinetic slip boundary condition for isothermal rarefied gas flows through static non-planar geometries based on the regularized lattice-Boltzmann method. Zbl 1492.76091 Tucny, Jean-Michel; Vidal, David; Leclaire, Sébastien; Bertrand, François 1 2022 New insights on convergence properties of peridynamic models for transient diffusion and elastodynamics. Zbl 1509.74006 Zhou, Zhikun; Peng, Xuhao; Wu, Pan; Chen, Ziguang; Bobaru, Florin 1 2022 The effect of global smoothness on the accuracy of treecodes. Zbl 1518.70002 Boateng, Henry A.; Tlupova, Svetlana 1 2022 The corrected finite volume element methods for diffusion equations satisfying discrete extremum principle. Zbl 1505.65286 Li, Ang; Yang, Hongtao; Li, Yonghai; Yuan, Guangwei 1 2022 A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem. Zbl 1473.65110 Liao, Hong-Lin; McLean, William; Zhang, Jiwei 49 2021 Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706 Wight, Colby L.; Zhao, Jia 37 2021 ...and 1288 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,161 Authors 90 Shu, Chi-Wang 87 Dumbser, Michael 66 Yang, Xiaofeng 65 Chung, Tsz Shun Eric 65 Huang, Yunqing 63 Kurganov, Alexander 61 Xu, Kun 57 Qiu, Jianxian 54 Kim, Junseok 47 Zhu, Jun 45 Zhang, Jiwei 44 Carrillo de la Plata, José Antonio 44 Xu, Yan 44 Yuan, Guangwei 42 Wang, Cheng 42 Yang, Junxiang 41 Liu, Tiegang 40 Li, Ruo 39 Hu, Guanghui 39 Tang, Huazhong 37 Boscheri, Walter 37 Liu, Hailiang 36 Antoine, Xavier 36 Chen, Yanping 35 Karniadakis, George Em 34 Efendiev, Yalchin R. 34 Zhao, Jia 33 Shen, Jie 32 Xing, Yulong 31 He, Xiaoming 31 Sun, Haiwei 31 Wise, Steven M. 31 Zhang, Zhimin 30 Li, Jichun 30 Loubère, Raphaël 30 Russo, Giovanni 30 Sun, Shuyu 29 Chertock, Alina E. 29 Feng, Xinlong 29 Gassner, Gregor J. 29 Jin, Shi 29 Toro, Eleuterio Francisco 28 Leung, Wingtat 28 Wang, Qi 28 Xia, Yinhua 27 Dehghan Takht Fooladi, Mehdi 27 Tang, Tao 27 Wang, Hong 27 Wang, Yushun 27 Wang, Zhijian 26 Qiu, Jingmei 26 Zhou, Tao 25 Chen, Wenbin 25 Huang, Weizhang 25 Lai, Mingchih 25 Li, Yibao 24 Balsara, Dinshaw S. 24 Fu, Lin 24 Pareschi, Lorenzo 24 Qiao, Zhonghua 24 Tan, Zhijun 24 Xu, Chuanju 23 Gong, Yuezheng 23 Luo, Hong 23 Nordström, Jan 23 Rozza, Gianluigi 23 Ying, Wenjun 22 Cai, Wei 22 Du, Qiang 22 Kou, Jisheng 22 Li, Dongfang 22 Li, Peijun 22 Liang, Dong 22 Lukáčová-Medviďová, Mária 22 Shu, Chang 21 Guo, Zhaoli 21 Hong, Jialin 21 Li, Qin 21 Titarev, Vladimir A. 21 Vasilyeva, Maria V. 21 Zhai, Qilong 21 Zhang, Pingwen 21 Zhong, Chengwen 20 Bao, Weizhu 20 He, Yinnian 20 Liu, Chun 20 Lowengrub, John Samuel 20 Wang, Liqun 20 Xiu, Dongbin 20 Zhang, Zhengru 19 Hesthaven, Jan S. 19 Ju, Lili 19 Li, Zhilin 19 Lorin, Emmanuel 19 Nie, Yufeng 19 Song, Songhe 19 Winters, Andrew R. 19 Xiao, Feng 19 Zhao, Shan 19 Zhao, Weidong ...and 12,061 more Authors all top 5 Cited in 414 Journals 1,936 Journal of Computational Physics 631 Journal of Scientific Computing 486 Computers and Fluids 438 Communications in Computational Physics 379 Computer Methods in Applied Mechanics and Engineering 343 Computers & Mathematics with Applications 337 Journal of Computational and Applied Mathematics 258 SIAM Journal on Scientific Computing 220 Applied Numerical Mathematics 216 Applied Mathematics and Computation 131 Computer Physics Communications 117 Journal of Fluid Mechanics 116 SIAM Journal on Numerical Analysis 116 Numerical Methods for Partial Differential Equations 113 Advances in Applied Mathematics and Mechanics 87 Numerical Algorithms 81 Multiscale Modeling & Simulation 80 International Journal of Computer Mathematics 78 International Journal for Numerical Methods in Engineering 76 Advances in Computational Mathematics 74 Mathematics and Computers in Simulation 73 Numerische Mathematik 72 Engineering Analysis with Boundary Elements 72 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 70 Communications in Nonlinear Science and Numerical Simulation 68 Applied Mathematical Modelling 67 East Asian Journal on Applied Mathematics 60 Mathematics of Computation 59 Applied Mathematics Letters 59 Computational and Applied Mathematics 54 Mathematical Methods in the Applied Sciences 54 Computational Mechanics 51 Communications on Applied Mathematics and Computation 50 Computational Geosciences 48 Discrete and Continuous Dynamical Systems. 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