## 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.
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### 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
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### 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)

### 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 1364.35424
Li, Xianjuan; Xu, Chuanju
2010
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
2007
Phase-field models for multi-component fluid flows. Zbl 1373.76030
Kim, Junseok
2012
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
2010
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin
2009
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
2008
Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302
Xiu, Dongbin
2007
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077
Carrillo, José A.; Chertock, Alina; Huang, Yanghong
2015
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121
Chandrashekar, Praveen
2013
Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001
Hou, Gene; Wang, Jin; Layton, Anita
2012
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang
2009
All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129
Degond, Pierre; Tang, Min
2011
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
2009
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
2009
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
2011
The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200
Liu, Hailiang; Yan, Jue
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
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.
2008
An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284
Haack, Jeffrey; Jin, Shi; Liu, Jian-guo
2012
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
2008
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien
2007
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
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
2017
An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072
Zhang, Zhengru; Qiao, Zhonghua
2012
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
2014
Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381
Liska, Richard; Shashkov, Mikhail
2008
An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161
Collins, Craig; Shen, Jie; Wise, Steven M.
2013
A unified gas-kinetic scheme for continuum and rarefied flows. II: Multi-dimensional cases. Zbl 1373.76216
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
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
2011
Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049
van Leer, B.
2006
WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121
Titarev, V. A.; Tsoutsanis, P.; Drikakis, D.
2010
Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124
Huang, Weizhang
2006
Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109
Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria
2011
Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117
Chen, Feng; Shen, Jie
2013
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael
2013
Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2009
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
2014
Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138
Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel
2011
Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146
Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael
2014
Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130
Chen, Minghua; Deng, Weihua
2014
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.
2016
A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
2014
Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127
Narayan, Akil; Zhou, Tao
2015
Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066
Qiu, Jing-Mei; Shu, Chi-Wang
2011
Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084
Titarev, V. A.
2012
On the volume conservation of the immersed boundary method. Zbl 1373.74098
Griffith, Boyce E.
2012
Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085
Dolejsi, Vit
2008
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
2015
A compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018
Mathelin, L.; Gallivan, K. A.
2012
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
2011
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
2014
A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108
Zhai, Qilong; Zhang, Ran; Mu, Lin
2016
An all-regime Lagrange-projection like scheme for the gas dynamics equations on unstructured meshes. Zbl 1373.76120
Chalons, Christophe; Girardin, Mathieu; Kokh, Samuel
2016
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.
2008
A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Zbl 1364.76111
Cheng, Juan; Shu, Chi-Wang
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.
2009
Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317
Shen, Jie; Yang, Xiaofeng; Wang, Qi
2013
A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
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
2009
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
2008
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S.
2006
Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057
Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi
2015
Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140
Puppo, Gabriella; Semplice, Matteo
2011
Truncation errors, exact and heuristic stability analysis of two-relaxation-times lattice Boltzmann schemes for anisotropic advection-diffusion equation. Zbl 1373.76241
Ginzburg, Irina
2012
Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034
Britt, Steven; Tsynkov, Semyon; Turkel, Eli
2011
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.
2018
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
2018
Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079
Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping
2006
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
2013
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
2011
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
2009
Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300
Runborg, Olof
2007
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.
2012
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
2012
Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193
Wu, J.; Shu, C.
2010
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
2007
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
2016
A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016
2009
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
2010
Numerical simulation of moving contact lines with surfactant by immersed boundary method. Zbl 1364.76125
Lai, Ming-Chih; Tseng, Yu-Hau; Huang, Huaxiong
2010
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
2020
A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems. Zbl 1373.76080
Chung, Eric T.; Leung, Wing Tat
2013
PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169
Malhotra, Dhairya; Biros, George
2015
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
2017
Velocity-based moving mesh methods for nonlinear partial differential equations. Zbl 1388.65094
Baines, M. J.; Hubbard, M. E.; Jimack, P. K.
2011
A reconstructed discontinuous Galerkin method for the Euler equations on arbitrary grids. Zbl 1388.65124
Luo, Hong; Luo, Luqing; Nourgaliev, Robert
2012
Recent developments in numerical techniques for transport-based medical imaging methods. Zbl 1364.94100
Ren, Kui
2010
An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. Zbl 07418059
Cheng, Kelong; Wang, Cheng; Wise, Steven M.
2019
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
2007
Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422
Liu, Chun; Shen, Jie; Yang, Xiaofeng
2007
Spectral-element and adjoint methods in seismology. Zbl 1183.74320
Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya
2008
On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126
Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo
2013
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
2013
Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Zbl 1364.76225
Popov, Peter; Efendiev, Yalchin; Qin, Guan
2009
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
2020
Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun
2014
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha
2016
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089
Elliott, Charles M.; Stinner, Björn
2013
Phase-field models for biofilms. II: 2-D numerical simulations of biofilm-flow interaction. Zbl 1365.92024
Zhang, Tianyu; Cogan, Nick; Wang, Qi
2008
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. Zbl 07419121
Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru
2020
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.
2022
An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. Zbl 1482.65226
Huang, Jianguo; Wang, Haoqin; Zhou, Tao
2022
A consensus-based global optimization method with adaptive momentum estimation. Zbl 07529229
Chen, Jingrun; Jin, Shi; Lyu, Liyao
2022
Approximating the Gaussian as a sum of exponentials and its applications to the fast Gauss transform. Zbl 1486.30107
Jiang, Shidong; Greengard, Leslie
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
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
2022
Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011
Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio
2022
A new mapped WENO scheme using order-preserving mapping. Zbl 1482.65147
Li, Ruo; Zhong, Wei
2022
Convergence rate analysis for deep Ritz method. Zbl 1491.65117
Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian
2022
VAE-KRnet and its applications to variational Bayes. Zbl 1486.62096
Wan, Xiaoliang; Wei, Shuangqing
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
2022
Deep unfitted Nitsche method for elliptic interface problems. Zbl 07529224
Guo, Hailong; Yang, Xu
2022
A third order BDF energy stable linear scheme for the No-slope-selection thin film model. Zbl 07419705
Hao, Yonghong; Huang, Qiumei; Wang, Cheng
2021
Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309
Liao, Yulei; Ming, Pingbing
2021
Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706
Wight, Colby L.; Zhao, Jia
2021
A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem. Zbl 1473.65110
Liao, Hong-Lin; McLean, William; Zhang, Jiwei
2021
High order conservative semi-Lagrangian scheme for the BGK model of the Boltzmann equation. Zbl 1474.65270
Boscarino, Sebastiano; Cho, Seung-Yeon; Russo, Giovanni; Yun, Seok-Bae
2021
Localized exponential time differencing method for shallow water equations: algorithms and numerical study. Zbl 1473.65141
Meng, Xucheng; Hoang, Thi-Thao-phuong; Wang, Zhu; Ju, Lili
2021
A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
2021
Structure-preserving numerical methods for stochastic Poisson systems. Zbl 1481.65261
Hong, Jialin; Ruan, Jialin; Sun, Liying; Wang, Lijin
2021
A mixed finite element scheme for quad-curl source and eigenvalue problems. Zbl 1473.65279
Chen, Huangxin; Li, Jingzhi; Qiu, Weifeng; Wang, Chao
2021
Continuous data assimilation with a moving cluster of data points for a reaction diffusion equation: a computational study. Zbl 07419717
2021
A modified adaptive improved mapped WENO method. Zbl 1482.65146
Li, Ruo; Zhong, Wei
2021
An adaptive threshold dynamics method for three-dimensional wetting on rough surfaces. Zbl 1473.65149
Xu, Xianmin; Ying, Wenjun
2021
Well-organized MZT-ME-PML approach for THz BP metasurface implementations. Zbl 1473.78015
Li, Xue-Shi; Feng, Naixing; Zhang, Yuxian
2021
DL-PDE: deep-learning based data-driven discovery of partial differential equations from discrete and noisy data. Zbl 07419698
Xu, Hao; Chang, Haibin; Zhang, Dongxiao
2021
A broad class of conservative numerical methods for dispersive wave equations. Zbl 1473.65154
Ranocha, Hendrik; Mitsotakis, Dimitrios; Ketcheson, David I.
2021
A wavelet-adaptive method for multiscale simulation of turbulent flows in flying insects. Zbl 1473.65101
Engels, Thomas; Schneider, Kai; Reiss, Julius; Farge, Marie
2021
EMPIRE-PIC: a performance portable unstructured particle-in-cell code. Zbl 07423021
Bettencourt, 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.
2021
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
2021
Adaptive order WENO reconstructions for the semi-Lagrangian finite difference scheme for advection problem. Zbl 07423045
Chen, Jiajie; Cai, Xiaofeng; Qiu, Jianxian; Qiu, Jing-Mei
2021
Ensemble gradient for learning turbulence models from indirect observations. Zbl 1491.76040
Ströfer, Carlos A. Michelén; Zhang, Xin-Lei; Xiao, Heng
2021
Numerical approximations of phase field models using a general class of linear time-integration schemes. Zbl 1482.65139
Chen, Lizhen; Zhang, Zengyan; Zhao, Jia
2021
Linear stability analysis and gas kinetic scheme (GKS) simulations of instabilities in compressible plane Poiseuille flow. Zbl 1485.76038
Mittal, Ankita; Sharma, Bajrang; Girimaji, Sharath S.
2021
Full discretization scheme for the dynamics of elliptic membrane shell model. Zbl 1473.65315
Shen, Xiaoqin; Yang, Qian; Bai, Lin; Li, Kaitai
2021
Natural convection heat transfer in a porous cavity with sinusoidal temperature distribution using Cu/water nanofluid: double MRT lattice Boltzmann method. Zbl 1480.76113
2021
A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation. Zbl 1474.65465
Leng, Wei; Ju, Lili
2021
The immersed interface method for non-smooth rigid objects in incompressible viscous flows. Zbl 1480.76084
Liu, Yang; Xu, Sheng
2021
A sufficient and necessary condition of the existence of WENO-like linear combination for finite difference schemes. Zbl 1473.65109
Kang, Jian; Li, Xinliang
2021
Algebraic multigrid block preconditioning for multi-group radiation diffusion equations. Zbl 1473.65031
Yue, Xiaoqiang; Zhang, Shulei; Xu, Xiaowen; Shu, Shi; Shi, Weidong
2021
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on tetrahedral meshes. Zbl 1474.65379
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian
2021
A fast time splitting finite difference approach to Gross-Pitaevskii equations. Zbl 1473.65096
Caliari, Marco; Zuccher, Simone
2021
A hybrid immersed boundary-lattice Boltzmann method for simulation of viscoelastic fluid flows interaction with complex boundaries. Zbl 1491.76051
Sedaghat, M. H.; Bagheri, A. A. H.; Shahmardan, M. M.; Norouzi, M.; Khoo, B. C.; Jayathilake, P. G.
2021
Fast one-dimensional convolution with general kernels using sum-of-exponential approximation. Zbl 07419727
Zhang, Yong; Zhuang, Chijie; Jiang, Shidong
2021
DAFI: an open-source framework for ensemble-based data assimilation and field inversion. Zbl 07419728
Michelén Ströfer, Carlos A.; Zhang, Xin-Lei; Xiao, Heng
2021
On false accuracy verification of UMUSCL scheme. Zbl 1473.65118
Nishikawa, Hiroaki
2021
Two nonlinear positivity-preserving finite volume schemes for three-dimensional heat conduction equations on general polyhedral meshes. Zbl 1474.65315
Liu, Menghuan; Shu, Shi; Yuan, Guangwei; Yue, Xiaoqiang
2021
Enforcing imprecise constraints on generative adversarial networks for emulating physical systems. Zbl 1490.76120
Zeng, Yang; Wu, Jin-Long; Xiao, Heng
2021
High order discretely well-balanced methods for arbitrary hydrostatic atmospheres. Zbl 1490.76141
Berberich, Jonas P.; Käppeli, Roger; Chandrashekar, Praveen; Klingenberg, Christian
2021
An understanding of the physical solutions and the blow-up phenomenon for nonlinear noisy leaky integrate and fire neuronal models. Zbl 1477.35280
Cáceres, María J.; Ramos-Lora, Alejandro
2021
A Hermite WENO method with modified ghost fluid method for compressible two-medium flow problems. Zbl 1474.65304
Zhao, Zhuang; Zhang, Yong-Tao; Chen, Yibing; Qiu, Jianxian
2021
Shallow water moment models for bedload transport problems. Zbl 1473.65138
Garres-Díaz, José; Díaz, Manuel J. Castro; Koellermeier, Julian; de Luna, Tomás Morales
2021
An efficient positivity-preserving finite volume scheme for the nonequilibrium three-temperature radiation diffusion equations on polygonal meshes. Zbl 1473.65145
Su, Shuai; Tang, Huazhong; Wu, Jiming
2021
A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. Zbl 1473.65227
Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian
2021
A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. Zbl 1473.65144
Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris
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 1473.65043
Wang, Cheng; Sun, Pengtao
2021
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
2020
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
2020
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. Zbl 07419121
Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru
2020
A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046
Yu, Jian; Hesthaven, Jan S.
2020
An adaptive surrogate modeling based on deep neural networks for large-scale Bayesian inverse problems. Zbl 1482.65206
Yan, Liang; Zhou, Tao
2020
A novel full-Euler low Mach number IMEX splitting. Zbl 07418366
Zeifang, Jonas; Schütz, Jochen; Kaiser, Klaus; Beck, Andrea; Lukáčová-Medvid&rsquo;ová, Maria; Noelle, Sebastian
2020
Finite neuron method and convergence analysis. Zbl 1473.65350
Xu, Jinchao
2020
Frequency principle: Fourier analysis sheds light on deep neural networks. Zbl 07419150
Xu, Zhi-Qin John; Zhang, Yaoyu; Luo, Tao; Xiao, Yanyang; Ma, Zheng
2020
Deep network approximation characterized by number of neurons. Zbl 07419151
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
2020
Machine learning and computational mathematics. Zbl 1473.00035
E, Weinan
2020
Better approximations of high dimensional smooth functions by deep neural networks with rectified power units. Zbl 1474.65031
Li, Bo; Tang, Shanshan; Yu, Haijun
2020
Fully decoupled, linear and unconditionally energy stable schemes for the binary fluid-surfactant model. Zbl 07419138
Qin, Yuzhe; Xu, Zhen; Zhang, Hui; Zhang, Zhengru
2020
Dying ReLU and initialization: theory and numerical examples. Zbl 07419148
Lu, Lu; Shin, Yeonjong; Su, Yanhui; Karniadakis, George Em
2020
Convolution neural network shock detector for numerical solution of conservation laws. Zbl 07419160
Sun, Zheng; Wang, Shuyi; Chang, Lo-Bin; Xing, Yulong; Xiu, Dongbin
2020
Entropies and symmetrization of hyperbolic stochastic Galerkin formulations. Zbl 07418512
Gerster, Stephan; Herty, Michael
2020
Performance enhancement for high-order gas-kinetic scheme based on WENO-adaptive-order reconstruction. Zbl 1480.76079
Ji, Xing; Xu, Kun
2020
An all speed second order IMEX relaxation scheme for the Euler equations. Zbl 1480.76083
Thomann, Andrea; Zenk, Markus; Puppo, Gabriella; Klingenberg, Christian
2020
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
2020
Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations. Zbl 1473.65251
Becker, Sebastian; Braunwarth, Ramon; Hutzenthaler, Martin; Jentzen, Arnulf; von Wurstemberger, Philippe
2020
A conservative numerical method for the Cahn-Hilliard equation with generalized mobilities on curved surfaces in three-dimensional space. Zbl 1486.65107
Jeong, Darae; Li, Yibao; Lee, Chaeyoung; Yang, Junxiang; Kim, Junseok
2020
An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation. Zbl 1473.65223
Zhang, Min; Cheng, Juan; Huang, Weizhang; Qiu, Jianxian
2020
A decoupled and positivity-preserving DDFVS scheme for diffusion problems on polyhedral meshes. Zbl 1473.65136
Dong, Qiannan; Su, Shuai; Wu, Jiming
2020
Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. Zbl 1473.65263
Liu, Hailiang; Maimaitiyiming, Wumaier
2020
$$H^2$$-conforming methods and two-grid discretizations for the elastic transmission eigenvalue problem. Zbl 1473.65283
Yang, Yidu; Han, Jiayu; Bi, Hai
2020
A kernel-independent treecode based on barycentric Lagrange interpolation. Zbl 1473.65025
Wang, Lei; Krasny, Robert; Tlupova, Svetlana
2020
A high order central DG method of the two-layer shallow water equations. Zbl 1473.65187
Cheng, Yongping; Dong, Haiyun; Li, Maojun; Xian, Weizhi
2020
A high-order cell-centered discontinuous Galerkin multi-material arbitrary Lagrangian-Eulerian method. Zbl 1473.65212
Qing, Fang; Yu, Xijun; Jia, Zupeng; Qiu, Meilan; Zhao, Xiaolong
2020
Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems. Zbl 1473.78016
Georgaka, Sokratia; Stabile, Giovanni; Rozza, Gianluigi; Bluck, Michael J.
2020
Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method. Zbl 1473.76042
Reis, Timothy
2020
Long wave interaction with a partially immersed body. I: Mathematical models. Zbl 1490.76039
Khakimzyanov, Gayaz; Dutykh, Denys
2020
Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. Zbl 1473.65353
Wang, Jialing; Wang, Yushun; Liang, Dong
2020
A new interpolation for auxiliary unknowns of the monotone finite volume scheme for 3D diffusion equations. Zbl 1473.65151
Zhao, Fei; Lai, Xiang; Yuan, Guangwei; Sheng, Zhiqiang
2020
Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327
Chen, C. S.; Karageorghis, Andreas; Zheng, Hui
2020
A two-dimensional second order conservative front-tracking method with an original marker advection approach based on jump relations. Zbl 1480.76087
Tavares, Mathilde; Koffi-Bi, Désir-André; Chénier, Eric; Vincent, Stéphane
2020
A lowest-order mixed finite element method for the elastic transmission eigenvalue problem. Zbl 1473.65282
Xi, Yingxia; Ji, Xia
2020
Weak Galerkin and continuous Galerkin coupled finite element methods for the Stokes-Darcy interface problem. Zbl 1473.65313
Peng, Hui; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
2020
Local discrete velocity grids for multi-species rarefied flow simulations. Zbl 1476.76058
Brull, Stéphane; Prigent, Corentin
2020
Effective two-level domain decomposition preconditioners for elastic crack problems modeled by extended finite element method. Zbl 1473.65294
Chen, Xingding; Cai, Xiao-Chuan
2020
A higher order interpolation scheme of finite volume method for compressible flow on curvilinear grids. Zbl 07419146
Jiang, Zhen-Hua; Deng, Xi; Xiao, Feng; Yan, Chao; Yu, Jian
2020
Random batch algorithms for quantum Monte Carlo simulations. Zbl 1473.65008
Jin, Shi; Li, Xiantao
2020
Multi-scale deep neural network (MscaleDNN) methods for oscillatory Stokes flows in complex domains. Zbl 1473.35541
Wang, Bo; Zhang, Wenzhong; Cai, Wei
2020
Learning to discretize: solving 1D scalar conservation laws via deep reinforcement learning. Zbl 1473.65124
Wang, Yufei; Shen, Ziju; Long, Zichao; Dong, Bin
2020
An implicit scheme for moving walls and multi-material interfaces in weakly compressible materials. Zbl 1474.65306
Abbate, Emanuela; Iollo, Angelo; Puppo, Gabriella
2020
The Riemann problem for a blood flow model in arteries. Zbl 1476.35139
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi
2020
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### 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
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### 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. Series B 31 International Journal of Numerical Analysis and Modeling 30 Computational and Applied Mathematics 29 Applied Mathematics Letters 28 SIAM Journal on Applied Mathematics 28 International Journal of Computational Fluid Dynamics 27 Communications in Nonlinear Science and Numerical Simulation 27 Kinetic and Related Models 27 SIAM/ASA Journal on Uncertainty Quantification 27 Communications on Applied Mathematics and Computation 26 International Journal for Numerical Methods in Fluids 26 Mathematical Methods in the Applied Sciences 26 European Journal of Mechanics. B. Fluids 24 Computer Physics Communications 23 Physica D 23 Advances in Difference Equations 22 International Journal of Computational Methods 22 Discrete and Continuous Dynamical Systems. Series S 22 Science China. Mathematics 21 Journal of Statistical Physics 21 Wave Motion 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Mathematical Problems in Engineering 20 Computational Methods in Applied Mathematics 19 Journal of Mathematical Analysis and Applications 18 Inverse Problems 18 Computational Mathematics and Mathematical Physics 17 Archive for Rational Mechanics and Analysis 17 Acta Mechanica Sinica 16 Journal of Engineering Mathematics 16 Physica A 16 Numerical Mathematics: Theory, Methods and Applications 15 SIAM Journal on Mathematical Analysis 15 Inverse Problems and Imaging 15 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 14 SIAM Journal on Applied Dynamical Systems 13 Journal of Differential Equations 13 Matematicheskoe Modelirovanie 13 AMM. Applied Mathematics and Mechanics. (English Edition) 13 Electronic Research Archive 12 Bulletin of Mathematical Biology 12 Archives of Computational Methods in Engineering 12 Foundations of Computational Mathematics 12 Inverse Problems in Science and Engineering 12 Research in the Mathematical Sciences 11 Journal of Mathematical Biology 11 Journal of Computational Mathematics 11 Journal of Nonlinear Science 11 International Journal of Applied and Computational Mathematics 11 Results in Applied Mathematics 10 Mathematical Biosciences 10 Frontiers of Mathematics in China 9 Journal of Mathematical Physics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Applied Mathematics and Computing 9 AIMS Mathematics 9 SMAI Journal of Computational Mathematics 9 SN Partial Differential Equations and Applications 8 Applicable Analysis 8 Fluid Dynamics 8 Nonlinearity 8 Chaos, Solitons and Fractals 8 Calcolo 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Communications on Pure and Applied Analysis 8 Networks and Heterogeneous Media 8 Molecular Based Mathematical Biology 8 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 8 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 7 SIAM Review 7 Calculus of Variations and Partial Differential Equations ...and 260 more Journals
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### Cited in 55 Fields

 4,786 Numerical analysis (65-XX) 3,022 Fluid mechanics (76-XX) 2,761 Partial differential equations (35-XX) 624 Mechanics of deformable solids (74-XX) 472 Statistical mechanics, structure of matter (82-XX) 343 Biology and other natural sciences (92-XX) 318 Optics, electromagnetic theory (78-XX) 264 Probability theory and stochastic processes (60-XX) 180 Computer science (68-XX) 146 Geophysics (86-XX) 145 Classical thermodynamics, heat transfer (80-XX) 144 Ordinary differential equations (34-XX) 142 Calculus of variations and optimal control; optimization (49-XX) 140 Statistics (62-XX) 120 Dynamical systems and ergodic theory (37-XX) 115 Approximations and expansions (41-XX) 112 Quantum theory (81-XX) 94 Real functions (26-XX) 92 Integral equations (45-XX) 70 Information and communication theory, circuits (94-XX) 53 Operations research, mathematical programming (90-XX) 49 Systems theory; control (93-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Special functions (33-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 34 Operator theory (47-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 28 Astronomy and astrophysics (85-XX) 22 Mechanics of particles and systems (70-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Functional analysis (46-XX) 17 Relativity and gravitational theory (83-XX) 14 Integral transforms, operational calculus (44-XX) 12 Potential theory (31-XX) 7 Combinatorics (05-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 3 Measure and integration (28-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)