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: 1,710 Publications (since 2006) References Indexed: 671 Publications with 28,095 References. all top 5 Latest Issues 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) 12, No. 4 (2012) 12, No. 3 (2012) ...and 55 more Volumes all top 5 Authors 22 Shu, Chi-Wang 17 Xu, Kun 16 Zhang, Pingwen 15 Cai, Wei 15 Li, Ruo 15 Yuan, Guangwei 14 Liu, Tiegang 14 Qiu, Jianxian 12 Sjogreen, Bjorn 12 Succi, Sauro 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 Huang, Huaxiong 9 Shen, Jie 9 Toro, Eleuterio F. 9 Xiu, Dongbin 9 Zhang, Jiwei 8 Chung, Tsz Shun Eric 8 Efendiev, Yalchin R. 8 Hesthaven, Jan S. 8 Karniadakis, George Em 8 Liang, Dong 8 Liu, Hailiang 8 Mishra, Siddhartha 8 Shi, Baochang 8 Xu, Zhenli 8 Zheng, Chunxiong 7 Brull, Stephane 7 Chen, Shiyi 7 Chen, Wenbin 7 Cherubini, Christian 7 Cui, Junzhi 7 Dumbser, Michael 7 Filippi, Simonetta 7 Han, Houde 7 Hong, Jialin 7 Ju, Lili 7 Li, Peijun 7 Sheng, Zhiqiang 7 Sun, Pengtao 7 Tang, Huazhong 7 Tian, Baolin 7 Wang, Cheng 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 Chai, Zhenhua 6 Chen, Ching-Shyang 6 Cheng, Jian 6 Deng, Xiaogang 6 Diaz, Julien 6 Dutykh, Denys 6 Huang, Jingfang 6 Jiang, Song 6 Jin, Shi 6 Khakimzyanov, Gayaz Salimovich 6 Kurganov, Alexander 6 Li, Jingzhi 6 Li, Zhihui 6 Li, Zhilin 6 Lin, Guang 6 Ming, Pingbing 6 Petersson, N. Anders 6 Russo, Giovanni 6 Shu, Shi 6 Tan, Zhijun 6 Wang, Desheng 6 Wang, Yushun 6 Xing, Yulong 6 Yang, Jerry Zhijian 6 Yang, Xiaofeng 6 Zhang, Bo 5 Abgrall, Rémi 5 Azaïez, Mejdi 5 Cheng, Juan 5 Cheng, Xiaoliang 5 Chertock, Alina E. 5 Dubroca, Bruno 5 Gao, Zhen 5 Gunzburger, Max D. 5 Guo, Ruihan 5 Leung, Shingyu 5 Li, Jiequan 5 Li, Xiantao 5 Lin, Ping ...and 3,033 more Authors all top 5 Fields 1,103 Numerical analysis (65-XX) 756 Fluid mechanics (76-XX) 468 Partial differential equations (35-XX) 177 Mechanics of deformable solids (74-XX) 151 Statistical mechanics, structure of matter (82-XX) 127 Optics, electromagnetic theory (78-XX) 89 Biology and other natural sciences (92-XX) 82 Computer science (68-XX) 77 Geophysics (86-XX) 65 Quantum theory (81-XX) 49 Probability theory and stochastic processes (60-XX) 45 Classical thermodynamics, heat transfer (80-XX) 35 Statistics (62-XX) 30 Dynamical systems and ergodic theory (37-XX) 27 Information and communication theory, circuits (94-XX) 23 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 Operations research, mathematical programming (90-XX) 12 Mechanics of particles and systems (70-XX) 11 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) 6 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 Mathematics education (97-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) 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 1,113 Publications have been cited 9,042 times in 6,841 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 175 2010 Heterogeneous multiscale methods: a review. Zbl 1164.65496E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric 164 2007 Phase-field models for multi-component fluid flows. Zbl 1373.76030Kim, Junseok 141 2012 Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205Xu, Yan; Shu, Chi-Wang 118 2010 Fast numerical methods for stochastic computations: a review. Zbl 1364.65019Xiu, Dongbin 114 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 112 2008 Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302Xiu, Dongbin 103 2007 A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077Carrillo, José A.; Chertock, Alina; Huang, Yanghong 87 2015 Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121Chandrashekar, Praveen 86 2013 Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001Hou, Gene; Wang, Jin; Layton, Anita 83 2012 Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177Zhang, Yong-Tao; Shu, Chi-Wang 76 2009 All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129Degond, Pierre; Tang, Min 75 2011 Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265Shen, Jie; Wang, Li-Lian 75 2009 A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064Marzouk, Youssef; Xiu, Dongbin 73 2009 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 71 2011 The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200Liu, Hailiang; Yan, Jue 69 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 65 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. 61 2008 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 Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009Gottlieb, David; Xiu, Dongbin 58 2008 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455Kurganov, Alexander; Lin, Chitien 56 2007 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 Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 1488.65247Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin 51 2017 An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072Zhang, Zhengru; Qiao, Zhonghua 50 2012 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 49 2014 Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381Liska, Richard; Shashkov, Mikhail 48 2008 An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161Collins, Craig; Shen, Jie; Wise, Steven M. 47 2013 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 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 44 2011 Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049van Leer, B. 43 2006 WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121Titarev, V. A.; Tsoutsanis, P.; Drikakis, D. 43 2010 Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124Huang, Weizhang 42 2006 Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria 42 2011 Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117Chen, Feng; Shen, Jie 40 2013 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 40 2013 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 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 39 2014 Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel 39 2011 Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael 38 2014 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. 35 2016 A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 34 2014 Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127Narayan, Akil; Zhou, Tao 34 2015 Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066Qiu, Jing-Mei; Shu, Chi-Wang 34 2011 Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084Titarev, V. A. 32 2012 On the volume conservation of the immersed boundary method. Zbl 1373.74098Griffith, Boyce E. 32 2012 Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085Dolejsi, Vit 32 2008 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 compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018Mathelin, L.; Gallivan, K. A. 31 2012 A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226Hu, Guanghui; Li, Ruo; Tang, Tao 31 2011 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 A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108Zhai, Qilong; Zhang, Ran; Mu, Lin 30 2016 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 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. 30 2008 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 Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317Shen, Jie; Yang, Xiaofeng; Wang, Qi 29 2013 A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217Huang, Juan-Chen; Xu, Kun; Yu, Pubing 29 2013 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 29 2009 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 Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008Joly, P.; Li, J.-R.; Fliss, S. 28 2006 Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi 28 2015 Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140Puppo, Gabriella; Semplice, Matteo 28 2011 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 Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034Britt, Steven; Tsynkov, Semyon; Turkel, Eli 28 2011 A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. Zbl 1488.65367Yan, Yue; Chen, Wenbin; Wang, Cheng; Wise, Steven M. 26 2018 Analysis of \(L1\)-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 1488.65431Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei 26 2018 Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping 26 2006 Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362Toro, Eleuterio F.; Siviglia, Annunziato 26 2013 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 26 2011 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 26 2009 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 numerical method for solving elasticity equations with interfaces. Zbl 1373.74091Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei 25 2012 Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193Wu, J.; Shu, C. 25 2010 Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping 24 2007 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 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 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 24 2020 A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems. Zbl 1373.76080Chung, Eric T.; Leung, Wing Tat 23 2013 PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169Malhotra, Dhairya; Biros, George 23 2015 Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097Cao, Waixiang; Li, Dongfang; Zhang, Zhimin 23 2017 Velocity-based moving mesh methods for nonlinear partial differential equations. Zbl 1388.65094Baines, M. J.; Hubbard, M. E.; Jimack, P. K. 23 2011 A reconstructed discontinuous Galerkin method for the Euler equations on arbitrary grids. Zbl 1388.65124Luo, Hong; Luo, Luqing; Nourgaliev, Robert 23 2012 Recent developments in numerical techniques for transport-based medical imaging methods. Zbl 1364.94100Ren, Kui 23 2010 An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. Zbl 07418059Cheng, Kelong; Wang, Cheng; Wise, Steven M. 23 2019 An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303Xiu, Dongbin; Shen, Jie 22 2007 Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422Liu, Chun; Shen, Jie; Yang, Xiaofeng 22 2007 Spectral-element and adjoint methods in seismology. Zbl 1183.74320Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya 22 2008 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 22 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 22 2013 Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Zbl 1364.76225Popov, Peter; Efendiev, Yalchin; Qin, Guan 22 2009 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 22 2020 Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun 21 2014 Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha 21 2016 Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089Elliott, Charles M.; Stinner, Björn 21 2013 Phase-field models for biofilms. II: 2-D numerical simulations of biofilm-flow interaction. Zbl 1365.92024Zhang, Tianyu; Cogan, Nick; Wang, Qi 21 2008 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 21 2020 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 An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. Zbl 1482.65226Huang, Jianguo; Wang, Haoqin; Zhou, Tao 2 2022 A consensus-based global optimization method with adaptive momentum estimation. Zbl 07529229Chen, Jingrun; Jin, Shi; Lyu, Liyao 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 High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. Zbl 1484.65188Ren, Yupeng; Xing, Yulong; Qiu, Jianxian 1 2022 Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio 1 2022 A new mapped WENO scheme using order-preserving mapping. Zbl 1482.65147Li, Ruo; Zhong, Wei 1 2022 Convergence rate analysis for deep Ritz method. Zbl 1491.65117Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian 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 Deep unfitted Nitsche method for elliptic interface problems. Zbl 07529224Guo, Hailong; Yang, Xu 1 2022 A third order BDF energy stable linear scheme for the No-slope-selection thin film model. Zbl 07419705Hao, Yonghong; Huang, Qiumei; Wang, Cheng 15 2021 Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309Liao, Yulei; Ming, Pingbing 14 2021 Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706Wight, Colby L.; Zhao, Jia 10 2021 A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem. Zbl 1473.65110Liao, Hong-Lin; McLean, William; Zhang, Jiwei 9 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 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 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 modified adaptive improved mapped WENO method. Zbl 1482.65146Li, Ruo; Zhong, Wei 2 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 DL-PDE: deep-learning based data-driven discovery of partial differential equations from discrete and noisy data. Zbl 07419698Xu, Hao; Chang, Haibin; Zhang, Dongxiao 2 2021 A broad class of conservative numerical methods for dispersive wave equations. Zbl 1473.65154Ranocha, Hendrik; Mitsotakis, Dimitrios; Ketcheson, David I. 2 2021 A wavelet-adaptive method for multiscale simulation of turbulent flows in flying insects. Zbl 1473.65101Engels, Thomas; Schneider, Kai; Reiss, Julius; Farge, Marie 2 2021 EMPIRE-PIC: a performance portable unstructured particle-in-cell code. Zbl 07423021Bettencourt, 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. 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 Adaptive order WENO reconstructions for the semi-Lagrangian finite difference scheme for advection problem. Zbl 07423045Chen, Jiajie; Cai, Xiaofeng; Qiu, Jianxian; Qiu, Jing-Mei 2 2021 Ensemble gradient for learning turbulence models from indirect observations. Zbl 1491.76040Ströfer, Carlos A. Michelén; Zhang, Xin-Lei; Xiao, Heng 1 2021 Numerical approximations of phase field models using a general class of linear time-integration schemes. Zbl 1482.65139Chen, Lizhen; Zhang, Zengyan; Zhao, Jia 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 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 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 Algebraic multigrid block preconditioning for multi-group radiation diffusion equations. Zbl 1473.65031Yue, Xiaoqiang; Zhang, Shulei; Xu, Xiaowen; Shu, Shi; Shi, Weidong 1 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 1 2021 A fast time splitting finite difference approach to Gross-Pitaevskii equations. Zbl 1473.65096Caliari, Marco; Zuccher, Simone 1 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. 1 2021 Fast one-dimensional convolution with general kernels using sum-of-exponential approximation. Zbl 07419727Zhang, Yong; Zhuang, Chijie; Jiang, Shidong 1 2021 DAFI: an open-source framework for ensemble-based data assimilation and field inversion. Zbl 07419728Michelén Ströfer, Carlos A.; Zhang, Xin-Lei; Xiao, Heng 1 2021 On false accuracy verification of UMUSCL scheme. Zbl 1473.65118Nishikawa, Hiroaki 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 Enforcing imprecise constraints on generative adversarial networks for emulating physical systems. Zbl 1490.76120Zeng, Yang; Wu, Jin-Long; Xiao, Heng 1 2021 High order discretely well-balanced methods for arbitrary hydrostatic atmospheres. 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Zbl 1473.65227Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian 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 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 24 2020 On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs. 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Zbl 1473.65282Xi, Yingxia; Ji, Xia 2 2020 Weak Galerkin and continuous Galerkin coupled finite element methods for the Stokes-Darcy interface problem. Zbl 1473.65313Peng, Hui; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou 2 2020 Local discrete velocity grids for multi-species rarefied flow simulations. Zbl 1476.76058Brull, Stéphane; Prigent, Corentin 2 2020 Effective two-level domain decomposition preconditioners for elastic crack problems modeled by extended finite element method. Zbl 1473.65294Chen, Xingding; Cai, Xiao-Chuan 2 2020 A higher order interpolation scheme of finite volume method for compressible flow on curvilinear grids. Zbl 07419146Jiang, Zhen-Hua; Deng, Xi; Xiao, Feng; Yan, Chao; Yu, Jian 2 2020 Random batch algorithms for quantum Monte Carlo simulations. Zbl 1473.65008Jin, Shi; Li, Xiantao 2 2020 Multi-scale deep neural network (MscaleDNN) methods for oscillatory Stokes flows in complex domains. Zbl 1473.35541Wang, Bo; Zhang, Wenzhong; Cai, Wei 2 2020 Learning to discretize: solving 1D scalar conservation laws via deep reinforcement learning. Zbl 1473.65124Wang, Yufei; Shen, Ziju; Long, Zichao; Dong, Bin 2 2020 An implicit scheme for moving walls and multi-material interfaces in weakly compressible materials. Zbl 1474.65306Abbate, Emanuela; Iollo, Angelo; Puppo, Gabriella 1 2020 The Riemann problem for a blood flow model in arteries. Zbl 1476.35139Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi 1 2020 ...and 1013 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,127 Authors 77 Shu, Chi-Wang 69 Dumbser, Michael 53 Xu, Kun 48 Chung, Tsz Shun Eric 47 Huang, Yunqing 46 Kurganov, Alexander 46 Qiu, Jianxian 45 Yang, Xiaofeng 38 Carrillo de la Plata, José Antonio 36 Tang, Huazhong 34 Liu, Tiegang 34 Zhu, Jun 33 Kim, Junseok 33 Liu, Hailiang 32 Wang, Cheng 31 Xu, Yan 31 Yuan, Guangwei 30 Antoine, Xavier 30 Boscheri, Walter 30 Li, Ruo 30 Shen, Jie 29 Zhang, Jiwei 28 Efendiev, Yalchin R. 28 Loubère, Raphaël 28 Xing, Yulong 27 Chen, Yanping 26 Gassner, Gregor J. 25 Chertock, Alina E. 25 Hu, Guanghui 24 Dehghan Takht Fooladi, Mehdi 24 He, Xiaoming 24 Karniadakis, George Em 24 Russo, Giovanni 24 Sun, Shuyu 23 Li, Jichun 23 Qiu, Jingmei 22 Huang, Weizhang 22 Tang, Tao 22 Toro, Eleuterio F. 22 Wise, Steven M. 22 Zhao, Jia 21 Luo, Hong 21 Sun, Haiwei 21 Wang, Hong 21 Zhou, Tao 20 Balsara, Dinshaw S. 20 Nordström, Jan 20 Xia, Yinhua 20 Xiu, Dongbin 19 Lai, Mingchih 19 Leung, Wingtat 19 Li, Qin 19 Titarev, Vladimir A. 19 Vasilyeva, Maria V. 19 Wang, Qi 19 Winters, Andrew R. 19 Yang, Junxiang 18 Hong, Jialin 18 Jin, Shi 18 Li, Zhilin 18 Miranville, Alain M. 18 Zhai, Qilong 17 Cheng, Jian 17 Deng, Xiaogang 17 Liang, Dong 17 Liu, Chun 17 Lowengrub, John Samuel 17 Wang, Yushun 16 Abgrall, Rémi 16 Cai, Zhenning 16 Du, Qiang 16 Feng, Xinlong 16 Guo, Wei 16 Guo, Zhaoli 16 He, Yinnian 16 Hesthaven, Jan S. 16 Kou, Jisheng 16 Kreiss, Gunilla 16 Lorin, Emmanuel 16 Pareschi, Lorenzo 16 Shyy, Wei 16 Zheng, Chunxiong 15 Cai, Wei 15 Chen, Ke 15 Chen, Wenbin 15 Fox, Rodney O. 15 Gong, Yuezheng 15 Iollo, Angelo 15 Khoo, Boo Cheong 15 Li, Peijun 15 Lin, Guang 15 Narayan, Akil C. 15 Sjogreen, Bjorn 15 Wang, Lilian 15 Wang, Liqun 15 Xu, Chuanju 15 Yuan, Li 15 Zhang, Kai 15 Zhang, Ran 15 Zhang, Zhimin ...and 9,027 more Authors all top 5 Cited in 360 Journals 1,540 Journal of Computational Physics 487 Journal of Scientific Computing 419 Computers and Fluids 272 Communications in Computational Physics 264 Journal of Computational and Applied Mathematics 256 Computer Methods in Applied Mechanics and Engineering 226 Computers & Mathematics with Applications 201 SIAM Journal on Scientific Computing 167 Applied Numerical Mathematics 161 Applied Mathematics and Computation 92 Journal of Fluid Mechanics 76 SIAM Journal on Numerical Analysis 73 Advances in Applied Mathematics and Mechanics 70 Numerische Mathematik 61 Multiscale Modeling & Simulation 60 International Journal of Computer Mathematics 58 Numerical Algorithms 57 Engineering Analysis with Boundary Elements 55 Advances in Computational Mathematics 53 Mathematics and Computers in Simulation 51 International Journal for Numerical Methods in Engineering 50 Mathematics of Computation 49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 45 East Asian Journal on Applied Mathematics 44 Numerical Methods for Partial Differential Equations 44 Applied Mathematical Modelling 44 Computational Geosciences 43 Computational Mechanics 38 BIT 34 Discrete and Continuous Dynamical Systems. 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