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: 1,767 Publications (since 2006) References Indexed: 728 Publications with 31,038 References. all top 5 Latest Issues 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) 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) ...and 60 more Volumes all top 5 Authors 22 Shu, Chi-Wang 18 Xu, Kun 17 Succi, Sauro 16 Li, Ruo 16 Yuan, Guangwei 16 Zhang, Pingwen 15 Cai, Wei 15 Liu, Tiegang 14 Qiu, Jianxian 13 Xu, Yan 12 Sjogreen, Bjorn 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 Filippi, Simonetta 8 Karniadakis, George Em 8 Liang, Dong 8 Liu, Hailiang 8 Mishra, Siddhartha 8 Xu, Chuanju 8 Xu, Zhenli 8 Ying, Wenjun 8 Zheng, Chunxiong 7 Brull, Stephane 7 Chai, Zhenhua 7 Chen, Shiyi 7 Cherubini, Christian 7 Cui, Junzhi 7 Dumbser, Michael 7 Falcucci, Giacomo 7 Han, Houde 7 Hong, Jialin 7 Jin, Shi 7 Ju, Lili 7 Li, Peijun 7 Ming, Pingbing 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 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 Lu, Benzhuo 6 Petersson, N. Anders 6 Russo, Giovanni 6 Tan, Zhijun 6 Wang, Cheng 6 Wang, Desheng 6 Wang, Yushun 6 Wise, Steven M. 6 Xing, Yulong 6 Yang, Jerry Zhijian 6 Yang, Xiaofeng 6 Yue, Xiaoqiang 6 Zhang, Bo 6 Zhang, Hui 6 Zhang, Ran 5 Abgrall, Rémi 5 Azaïez, Mejdi 5 Cheng, Juan 5 Cheng, Xiaoliang 5 Chertock, Alina E. ...and 3,211 more Authors all top 5 Fields 1,136 Numerical analysis (65-XX) 790 Fluid mechanics (76-XX) 483 Partial differential equations (35-XX) 182 Mechanics of deformable solids (74-XX) 156 Statistical mechanics, structure of matter (82-XX) 129 Optics, electromagnetic theory (78-XX) 94 Biology and other natural sciences (92-XX) 92 Computer science (68-XX) 77 Geophysics (86-XX) 67 Quantum theory (81-XX) 51 Probability theory and stochastic processes (60-XX) 48 Classical thermodynamics, heat transfer (80-XX) 35 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) 18 Approximations and expansions (41-XX) 17 Ordinary differential equations (34-XX) 15 Mechanics of particles and systems (70-XX) 14 General and overarching topics; collections (00-XX) 13 Operations research, mathematical programming (90-XX) 13 Systems theory; control (93-XX) 11 Astronomy and astrophysics (85-XX) 10 Relativity and gravitational theory (83-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 Convex and discrete geometry (52-XX) 5 Harmonic analysis on Euclidean spaces (42-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 1,244 Publications have been cited 10,662 times in 7,737 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 183 2010 Heterogeneous multiscale methods: a review. Zbl 1164.65496E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric 173 2007 Phase-field models for multi-component fluid flows. Zbl 1373.76030Kim, Junseok 156 2012 Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205Xu, Yan; Shu, Chi-Wang 136 2010 Fast numerical methods for stochastic computations: a review. Zbl 1364.65019Xiu, Dongbin 120 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 117 2008 Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302Xiu, Dongbin 107 2007 Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121Chandrashekar, Praveen 103 2013 A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077Carrillo, José A.; Chertock, Alina; Huang, Yanghong 92 2015 Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001Hou, Gene; Wang, Jin; Layton, Anita 90 2012 Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 1488.65247Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin 88 2017 Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177Zhang, Yong-Tao; Shu, Chi-Wang 84 2009 All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129Degond, Pierre; Tang, Min 79 2011 Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265Shen, Jie; Wang, Li-Lian 78 2009 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 77 2011 A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064Marzouk, Youssef; Xiu, Dongbin 76 2009 The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200Liu, Hailiang; Yan, Jue 74 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 69 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. 69 2008 On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455Kurganov, Alexander; Lin, Chitien 63 2007 An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284Haack, Jeffrey; Jin, Shi; Liu, Jian-guo 61 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 60 2014 Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009Gottlieb, David; Xiu, Dongbin 59 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 57 2007 A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. Zbl 1488.65367Yan, Yue; Chen, Wenbin; Wang, Cheng; Wise, Steven M. 55 2018 A unified gas-kinetic scheme for continuum and rarefied flows. II: Multi-dimensional cases. Zbl 1373.76216Huang, Juan-Chen; Xu, Kun; Yu, Pubing 52 2012 Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381Liska, Richard; Shashkov, Mikhail 51 2008 An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072Zhang, Zhengru; Qiao, Zhonghua 50 2012 An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161Collins, Craig; Shen, Jie; Wise, Steven M. 50 2013 Analysis of \(L1\)-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 1488.65431Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei 50 2018 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 50 2011 WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121Titarev, V. A.; Tsoutsanis, P.; Drikakis, D. 49 2010 Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria 49 2011 Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael 46 2014 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 45 2013 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 45 2020 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 44 2014 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 Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117Chen, Feng; Shen, Jie 42 2013 An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. Zbl 07418059Cheng, Kelong; Wang, Cheng; Wise, Steven M. 42 2019 Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel 41 2011 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 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 39 2020 A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027Gesho, Masakazu; Olson, Eric; Titi, Edriss S. 38 2016 Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130Chen, Minghua; Deng, Weihua 37 2014 Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066Qiu, Jing-Mei; Shu, Chi-Wang 37 2011 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 36 2017 A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan 35 2014 On the volume conservation of the immersed boundary method. Zbl 1373.74098Griffith, Boyce E. 35 2012 A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226Hu, Guanghui; Li, Ruo; Tang, Tao 35 2011 Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127Narayan, Akil; Zhou, Tao 34 2015 An all-regime Lagrange-projection like scheme for the gas dynamics equations on unstructured meshes. Zbl 1373.76120Chalons, Christophe; Girardin, Mathieu; Kokh, Samuel 34 2016 Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008Joly, P.; Li, J.-R.; Fliss, S. 34 2006 Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085Dolejsi, Vit 33 2008 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 A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Zbl 1364.76111Cheng, Juan; Shu, Chi-Wang 32 2008 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 32 2009 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 32 2015 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 32 2011 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225He, X.-M.; Lin, T.; Lin, Y. 31 2009 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 31 2014 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 Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362Toro, Eleuterio F.; Siviglia, Annunziato 31 2013 A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217Huang, Juan-Chen; Xu, Kun; Yu, Pubing 30 2013 Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317Shen, Jie; Yang, Xiaofeng; Wang, Qi 30 2013 Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi 29 2015 Adaptive finite element modeling techniques for the Poisson-Boltzmann equation. Zbl 1373.82077Holst, M.; McCammon, J. A.; Yu, Z.; Zhou, Y. C.; Zhu, Y. 29 2012 Truncation errors, exact and heuristic stability analysis of two-relaxation-times lattice Boltzmann schemes for anisotropic advection-diffusion equation. Zbl 1373.76241Ginzburg, Irina 29 2012 Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034Britt, Steven; Tsynkov, Semyon; Turkel, Eli 29 2011 Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping 29 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 29 2008 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 28 2009 PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169Malhotra, Dhairya; Biros, George 28 2015 Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097Cao, Waixiang; Li, Dongfang; Zhang, Zhimin 28 2017 Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter. Zbl 1373.76113Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian 27 2016 Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha 27 2016 Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422Liu, Chun; Shen, Jie; Yang, Xiaofeng 27 2007 A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016Appelo, Daniel; Petersson, N. Anders 26 2009 Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193Wu, J.; Shu, C. 26 2010 A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei 26 2012 Velocity-based moving mesh methods for nonlinear partial differential equations. Zbl 1388.65094Baines, M. J.; Hubbard, M. E.; Jimack, P. K. 25 2011 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 25 2020 Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300Runborg, Olof 25 2007 Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping 25 2007 Phase-field models for biofilms. II: 2-D numerical simulations of biofilm-flow interaction. Zbl 1365.92024Zhang, Tianyu; Cogan, Nick; Wang, Qi 24 2008 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 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 A reconstructed discontinuous Galerkin method for the Euler equations on arbitrary grids. Zbl 1388.65124Luo, Hong; Luo, Luqing; Nourgaliev, Robert 24 2012 Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089Elliott, Charles M.; Stinner, Björn 24 2013 Spectral-element and adjoint methods in seismology. Zbl 1183.74320Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya 24 2008 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 Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun 23 2014 A third order BDF energy stable linear scheme for the No-slope-selection thin film model. Zbl 07419705Hao, Yonghong; Huang, Qiumei; Wang, Cheng 23 2021 Entropic multi-relaxation-time lattice Boltzmann model for large density ratio two-phase flows. Zbl 07674030Hosseini, S. A.; Dorschner, B.; Karlin, I. V. 1 2023 Convergence rate analysis for deep Ritz method. Zbl 1491.65117Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian 4 2022 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 Deep unfitted Nitsche method for elliptic interface problems. Zbl 1493.65203Guo, Hailong; Yang, Xu 3 2022 A consensus-based global optimization method with adaptive momentum estimation. Zbl 1508.68283Chen, 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 A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. Zbl 1482.65176Zhang, Min; Huang, Weizhang; Qiu, Jianxian 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 A colocalized scheme for three-temperature grey diffusion radiation hydrodynamics. Zbl 1482.65160Chauvin, R.; Guisset, S.; Manach-Perennou, B.; Martaud, L. 2 2022 Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio 2 2022 Random batch particle methods for the homogeneous Landau equation. Zbl 1486.65013Carrillo, José Antonio; Jin, Shi; Tang, Yijia 2 2022 VAE-KRnet and its applications to variational Bayes. Zbl 1486.62096Wan, Xiaoliang; Wei, Shuangqing 2 2022 A general improvement in the WENO-Z-type schemes. Zbl 1486.65114Li, Ruo; Zhong, Wei 2 2022 Solving time dependent Fokker-Planck equations via temporal normalizing flow. Zbl 1495.65187Feng, Xiaodong; Zeng, Li; Zhou, Tao 2 2022 Nonlinear reduced DNN models for state estimation. Zbl 1492.65291Dahmen, Wolfgang; Wang, Min; Wang, Zhu 1 2022 Some random batch particle methods for the Poisson-Nernst-Planck and Poisson-Boltzmann equations. Zbl 1492.35371Li, Lei; Liu, Jian-Guo; Tang, Yijia 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 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 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 Anomalous sorption kinetics of self-interacting particles by a spherical trap. Zbl 1493.92024Raudino, Antonio; Grassi, Antonio; Lombardo, Giuseppe; Russo, Giovanni; Astuto, Clarissa; Corti, Mario 1 2022 On a hybrid approach for recovering multiple obstacles. Zbl 1482.62044Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu 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 Frame invariance and scalability of neural operators for partial differential equations. Zbl 1495.65202Zafar, Muhammad I.; Han, Jiequn; Zhou, Xu-Hui; Xiao, Heng 1 2022 Physics-driven learning of the steady Navier-Stokes equations using deep convolutional neural networks. Zbl 1500.76071Ma, Hao; Zhang, Yuxuan; Thuerey, Nils; Hu, Xiangyu; Haidn, Oskar J. 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 A third order BDF energy stable linear scheme for the No-slope-selection thin film model. Zbl 07419705Hao, Yonghong; Huang, Qiumei; Wang, Cheng 23 2021 Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706Wight, Colby L.; Zhao, Jia 19 2021 Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309Liao, Yulei; Ming, Pingbing 19 2021 A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem. 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Zbl 07419717Larios, Adam; Victor, Collin 4 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. 4 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 High order discretely well-balanced methods for arbitrary hydrostatic atmospheres. Zbl 1490.76141Berberich, Jonas P.; Käppeli, Roger; Chandrashekar, Praveen; Klingenberg, Christian 4 2021 Localized exponential time differencing method for shallow water equations: algorithms and numerical study. 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Zbl 1473.00035E, Weinan 8 2020 Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. Zbl 1473.65263Liu, Hailiang; Maimaitiyiming, Wumaier 7 2020 ...and 1144 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,248 Authors 84 Shu, Chi-Wang 81 Dumbser, Michael 55 Xu, Kun 54 Yang, Xiaofeng 52 Huang, Yunqing 52 Kurganov, Alexander 50 Chung, Tsz Shun Eric 50 Qiu, Jianxian 42 Kim, Junseok 40 Carrillo de la Plata, José Antonio 40 Zhu, Jun 38 Tang, Huazhong 37 Xu, Yan 36 Liu, Hailiang 36 Liu, Tiegang 36 Wang, Cheng 35 Yuan, Guangwei 34 Boscheri, Walter 34 Li, Ruo 32 Antoine, Xavier 32 Shen, Jie 32 Zhang, Jiwei 31 Hu, Guanghui 30 Chen, Yanping 30 Xing, Yulong 29 Efendiev, Yalchin R. 29 Gassner, Gregor J. 29 Karniadakis, George Em 29 Loubère, Raphaël 29 Zhao, Jia 27 Chertock, Alina E. 27 Russo, Giovanni 27 Toro, Eleuterio Francisco 27 Wang, Zhijian 26 Sun, Shuyu 26 Wise, Steven M. 25 He, Xiaoming 25 Qiu, Jingmei 25 Wang, Qi 25 Yang, Junxiang 24 Dehghan Takht Fooladi, Mehdi 24 Huang, Weizhang 24 Li, Jichun 23 Balsara, Dinshaw S. 23 Jin, Shi 23 Nordström, Jan 23 Sun, Haiwei 23 Tang, Tao 23 Xia, Yinhua 22 Liang, Dong 22 Luo, Hong 22 Wang, Hong 22 Zhou, Tao 20 Feng, Xinlong 20 Lai, Mingchih 20 Leung, Wingtat 20 Xiu, Dongbin 19 Cai, Wei 19 Guo, Zhaoli 19 Hong, Jialin 19 Titarev, Vladimir A. 19 Vasilyeva, Maria V. 19 Wang, Yushun 19 Winters, Andrew R. 19 Xu, Chuanju 18 Abgrall, Rémi 18 Cheng, Jian 18 Du, Qiang 18 Hesthaven, Jan S. 18 Kou, Jisheng 18 Li, Yibao 18 Li, Zhilin 18 Lowengrub, John Samuel 18 Miranville, Alain M. 18 Pareschi, Lorenzo 18 Rozza, Gianluigi 18 Zhai, Qilong 18 Zhang, Zhimin 17 Deng, Xiaogang 17 Gong, Yuezheng 17 He, Yinnian 17 Li, Peijun 17 Li, Qin 17 Liu, Chun 17 Lorin, Emmanuel 17 Narayan, Akil C. 17 Shu, Chang 17 Xiao, Feng 17 Yi, Nianyu 17 Zhao, Shan 17 Zhong, Chengwen 16 Bao, Weizhu 16 Cai, Zhenning 16 Chen, Wenbin 16 Guo, Wei 16 Iollo, Angelo 16 Kreiss, Gunilla 16 Lin, Guang 16 Qiao, Zhonghua 16 Shyy, Wei ...and 10,148 more Authors all top 5 Cited in 382 Journals 1,779 Journal of Computational Physics 516 Journal of Scientific Computing 441 Computers and Fluids 369 Communications in Computational Physics 287 Journal of Computational and Applied Mathematics 285 Computer Methods in Applied Mechanics and Engineering 253 Computers & Mathematics with Applications 213 SIAM Journal on Scientific Computing 191 Applied Mathematics and Computation 182 Applied Numerical Mathematics 99 Journal of Fluid Mechanics 91 Advances in Applied Mathematics and Mechanics 86 SIAM Journal on Numerical Analysis 70 Numerische Mathematik 70 International Journal of Computer Mathematics 65 Numerical Algorithms 65 Multiscale Modeling & Simulation 62 Mathematics and Computers in Simulation 62 Engineering Analysis with Boundary Elements 58 Advances in Computational Mathematics 56 Applied Mathematical Modelling 54 Mathematics of Computation 54 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 51 International Journal for Numerical Methods in Engineering 46 Communications in Nonlinear Science and Numerical Simulation 46 East Asian Journal on Applied Mathematics 45 Computational Mechanics 45 Computational and Applied Mathematics 45 Computational Geosciences 44 Numerical Methods for Partial Differential Equations 43 Applied Mathematics Letters 43 Communications on Applied Mathematics and Computation 41 BIT 38 Discrete and Continuous Dynamical Systems. 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