## Communications in Computational Physics

 Short Title: Commun. Comput. Phys. Publisher: Global Science Press, Hong Kong; Cambridge University Press, Cambridge ISSN: 1815-2406; 1991-7120/e Online: http://www.global-sci.com/cicp/periodical_list.htmlhttp://www.global-sci.com/issue/contents/index.htmlhttps://www.cambridge.org/core/journals/communications-in-computational-physics/all-issues
 Documents Indexed: 1,731 Publications (since 2006) References Indexed: 692 Publications with 29,318 References.
all top 5

### Latest Issues

 32, No. 4 (2022) 32, No. 3 (2022) 32, No. 2 (2022) 32, No. 1 (2022) 31, No. 5 (2022) 31, No. 4 (2022) 31, No. 3 (2022) 31, No. 2 (2022) 31, No. 1 (2022) 30, No. 5 (2021) 30, No. 4 (2021) 30, No. 3 (2021) 30, No. 2 (2021) 30, No. 1 (2021) 29, No. 5 (2021) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 5 (2020) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 5 (2020) 27, No. 4 (2020) 27, No. 3 (2020) 27, No. 2 (2020) 27, No. 1 (2020) 26, No. 5 (2019) 26, No. 4 (2019) 26, No. 3 (2019) 26, No. 2 (2019) 26, No. 1 (2019) 25, No. 5 (2019) 25, No. 4 (2019) 25, No. 3 (2019) 25, No. 2 (2019) 25, No. 1 (2019) 24, No. 5 (2018) 24, No. 4 (2018) 24, No. 3 (2018) 24, No. 2 (2018) 24, No. 1 (2018) 23, No. 5 (2018) 23, No. 4 (2018) 23, No. 3 (2018) 23, No. 2 (2018) 23, No. 1 (2018) 22, No. 5 (2017) 22, No. 4 (2017) 22, No. 3 (2017) 22, No. 2 (2017) 22, No. 1 (2017) 21, No. 5 (2017) 21, No. 4 (2017) 21, No. 3 (2017) 21, No. 2 (2017) 21, No. 1 (2017) 20, No. 5 (2016) 20, No. 4 (2016) 20, No. 3 (2016) 20, No. 2 (2016) 20, No. 1 (2016) 19, No. 5 (2016) 19, No. 4 (2016) 19, No. 3 (2016) 19, No. 2 (2016) 19, No. 1 (2016) 18, No. 5 (2015) 18, No. 4 (2015) 18, No. 3 (2015) 18, No. 2 (2015) 18, No. 1 (2015) 17, No. 5 (2015) 17, No. 4 (2015) 17, No. 3 (2015) 17, No. 2 (2015) 17, No. 1 (2015) 16, No. 5 (2014) 16, No. 4 (2014) 16, No. 3 (2014) 16, No. 2 (2014) 16, No. 1 (2014) 15, No. 5 (2014) 15, No. 4 (2014) 15, No. 3 (2014) 15, No. 2 (2014) 15, No. 1 (2014) 14, No. 5 (2013) 14, No. 4 (2013) 14, No. 3 (2013) 14, No. 2 (2013) 14, No. 1 (2013) 13, No. 5 (2013) 13, No. 4 (2013) 13, No. 3 (2013) 13, No. 2 (2013) 13, No. 1 (2013) 12, No. 5 (2012) ...and 57 more Volumes
all top 5

### Authors

 22 Shu, Chi-Wang 18 Xu, Kun 16 Zhang, Pingwen 15 Cai, Wei 15 Li, Ruo 15 Liu, Tiegang 15 Yuan, Guangwei 14 Qiu, Jianxian 13 Succi, Sauro 12 Sjogreen, Bjorn 12 Xu, Yan 11 Hu, Guanghui 11 Huang, Yunqing 11 Khoo, Boo Cheong 11 Sheu, Tony Wen-Hann 11 Tang, Tao 10 Guo, Zhaoli 10 Zhang, Zhimin 9 Bao, Weizhu 9 Du, Qiang 9 E, Weinan 9 Hesthaven, Jan S. 9 Huang, Huaxiong 9 Shen, Jie 9 Shi, Baochang 9 Toro, Eleuterio Francisco 9 Xiu, Dongbin 9 Zhang, Jiwei 8 Chen, Wenbin 8 Chung, Tsz Shun Eric 8 Efendiev, Yalchin R. 8 Karniadakis, George Em 8 Liang, Dong 8 Liu, Hailiang 8 Mishra, Siddhartha 8 Xu, Zhenli 8 Zheng, Chunxiong 7 Brull, Stephane 7 Chai, Zhenhua 7 Chen, Shiyi 7 Cherubini, Christian 7 Cui, Junzhi 7 Dumbser, Michael 7 Filippi, Simonetta 7 Han, Houde 7 Hong, Jialin 7 Jin, Shi 7 Ju, Lili 7 Li, Peijun 7 Sheng, Zhiqiang 7 Shu, Shi 7 Sun, Pengtao 7 Tang, Huazhong 7 Tian, Baolin 7 Wang, Zhijian 7 Xia, Yinhua 7 Xiao, Heng 7 Xu, Chuanju 7 Ying, Wenjun 7 Zhou, Tao 7 Zhu, Jun 6 Antoine, Xavier 6 Bao, Gang 6 Cao, Yanzhao 6 Chen, Ching-Shyang 6 Cheng, Jian 6 Deng, Xiaogang 6 Diaz, Julien 6 Dutykh, Denys 6 Huang, Jingfang 6 Jiang, Song 6 Khakimzyanov, Gayaz Salimovich 6 Kurganov, Alexander 6 Li, Jingzhi 6 Li, Zhihui 6 Li, Zhilin 6 Lin, Guang 6 Liu, Jianguo 6 Ming, Pingbing 6 Petersson, N. Anders 6 Russo, Giovanni 6 Tan, Zhijun 6 Wang, Cheng 6 Wang, Desheng 6 Wang, Yushun 6 Xing, Yulong 6 Yang, Jerry Zhijian 6 Yang, Xiaofeng 6 Zhang, Bo 6 Zhang, Hui 5 Abgrall, Rémi 5 Azaïez, Mejdi 5 Cheng, Juan 5 Cheng, Xiaoliang 5 Chertock, Alina E. 5 Dubroca, Bruno 5 Falcucci, Giacomo 5 Gao, Zhen 5 Gunzburger, Max D. 5 Guo, Ruihan ...and 3,118 more Authors
all top 5

### Fields

 1,119 Numerical analysis (65-XX) 766 Fluid mechanics (76-XX) 476 Partial differential equations (35-XX) 177 Mechanics of deformable solids (74-XX) 153 Statistical mechanics, structure of matter (82-XX) 127 Optics, electromagnetic theory (78-XX) 90 Biology and other natural sciences (92-XX) 87 Computer science (68-XX) 77 Geophysics (86-XX) 65 Quantum theory (81-XX) 51 Probability theory and stochastic processes (60-XX) 46 Classical thermodynamics, heat transfer (80-XX) 36 Statistics (62-XX) 31 Dynamical systems and ergodic theory (37-XX) 27 Information and communication theory, circuits (94-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 22 Integral equations (45-XX) 17 Ordinary differential equations (34-XX) 15 Approximations and expansions (41-XX) 13 General and overarching topics; collections (00-XX) 13 Mechanics of particles and systems (70-XX) 13 Operations research, mathematical programming (90-XX) 13 Systems theory; control (93-XX) 10 Relativity and gravitational theory (83-XX) 10 Astronomy and astrophysics (85-XX) 9 Operator theory (47-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Special functions (33-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 4 History and biography (01-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Mathematics education (97-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

1,149 Publications have been cited 9,513 times in 7,131 Documents Cited by Year
Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation. Zbl 1364.35424
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
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121
Chandrashekar, Praveen
2013
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077
Carrillo, José A.; Chertock, Alina; Huang, Yanghong
2015
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
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
2009
All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129
Degond, Pierre; Tang, Min
2011
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
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 all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284
Haack, Jeffrey; Jin, Shi; Liu, Jian-guo
2012
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien
2007
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
2008
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
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
An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072
Zhang, Zhengru; Qiao, Zhonghua
2012
Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381
Liska, Richard; Shashkov, Mikhail
2008
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
An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161
Collins, Craig; Shen, Jie; Wise, Steven M.
2013
WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121
Titarev, V. A.; Tsoutsanis, P.; Drikakis, D.
2010
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
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
Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049
van Leer, B.
2006
Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124
Huang, Weizhang
2006
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael
2013
Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146
Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael
2014
Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117
Chen, Feng; Shen, Jie
2013
Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation. Zbl 1373.76026
Dijkstra, Henk A.; Wubs, Fred W.; Cliffe, Andrew K.; Doedel, Eusebius; Dragomirescu, Ioana F.; Eckhardt, Bruno; Gelfgat, Alexander Yu.; Hazel, Andrew L.; Lucarini, Valerio; Salinger, Andy G.; Phipps, Erik T.; Sanchez-Umbria, Juan; Schuttelaars, Henk; Tuckerman, Laurette S.; Thiele, Uwe
2014
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
Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138
Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel
2011
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
Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066
Qiu, Jing-Mei; Shu, Chi-Wang
2011
Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127
Narayan, Akil; Zhou, Tao
2015
Lumped parameter outflow models for 1-D blood flow simulations: effect on pulse waves and parameter estimation. Zbl 1364.76248
Alastruey, J.; Parker, K. H.; Peiro, J.; Sherwin, S. J.
2008
Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084
Titarev, V. A.
2012
A compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018
Mathelin, L.; Gallivan, K. A.
2012
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
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
Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085
Dolejsi, Vit
2008
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
2011
On the volume conservation of the immersed boundary method. Zbl 1373.74098
Griffith, Boyce E.
2012
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
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S.
2006
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 new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108
Zhai, Qilong; Zhang, Ran; Mu, Lin
2016
Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140
Puppo, Gabriella; Semplice, Matteo
2011
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
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
Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317
Shen, Jie; Yang, Xiaofeng; Wang, Qi
2013
IMEX large time step finite volume methods for low Froude number shallow water flows. Zbl 1373.76117
Bispen, Georgij; Arun, K. R.; Lukáčová-Medvid’ová, Mária; Noelle, Sebastian
2014
An all-regime Lagrange-projection like scheme for the gas dynamics equations on unstructured meshes. Zbl 1373.76120
Chalons, Christophe; Girardin, Mathieu; Kokh, Samuel
2016
A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
2013
Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057
Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi
2015
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
Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034
Britt, Steven; Tsynkov, Semyon; Turkel, Eli
2011
Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079
Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping
2006
Simulations of compressible two-medium flow by Runge-Kutta discontinuous Galerkin methods with the ghost fluid method. Zbl 1195.76262
Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong
2008
Truncation errors, exact and heuristic stability analysis of two-relaxation-times lattice Boltzmann schemes for anisotropic advection-diffusion equation. Zbl 1373.76241
Ginzburg, Irina
2012
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
2013
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
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
Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422
Liu, Chun; Shen, Jie; Yang, Xiaofeng
2007
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
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
2012
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
Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193
Wu, J.; Shu, C.
2010
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 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
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
2007
Spectral-element and adjoint methods in seismology. Zbl 1183.74320
Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya
2008
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
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
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha
2016
Velocity-based moving mesh methods for nonlinear partial differential equations. Zbl 1388.65094
Baines, M. J.; Hubbard, M. E.; Jimack, P. K.
2011
Recent developments in numerical techniques for transport-based medical imaging methods. Zbl 1364.94100
Ren, Kui
2010
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
A reconstructed discontinuous Galerkin method for the Euler equations on arbitrary grids. Zbl 1388.65124
Luo, Hong; Luo, Luqing; Nourgaliev, Robert
2012
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
Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Zbl 1364.76225
Popov, Peter; Efendiev, Yalchin; Qin, Guan
2009
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
2007
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
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme. Zbl 1488.65306
Yan, Yonggui; Sun, Zhi-Zhong; Zhang, Jiwei
2017
A new mapped WENO scheme using order-preserving mapping. Zbl 1482.65147
Li, Ruo; Zhong, Wei
2022
An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. Zbl 1482.65226
Huang, Jianguo; Wang, Haoqin; Zhou, Tao
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
A consensus-based global optimization method with adaptive momentum estimation. Zbl 07529229
Chen, Jingrun; Jin, Shi; Lyu, Liyao
2022
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. Zbl 1486.65242
Chen, Huangxin; Pani, Amiya K.; Qiu, Weifeng
2022
A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157
Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
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
Deep unfitted Nitsche method for elliptic interface problems. Zbl 1493.65203
Guo, Hailong; Yang, Xu
2022
A general improvement in the WENO-Z-type schemes. Zbl 1486.65114
Li, Ruo; Zhong, Wei
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
A conservative and monotone characteristic finite element solver for three-dimensional transport and incompressible Navier-Stokes equations on unstructured grids. Zbl 1482.65182
Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed
2022
Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011
Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio
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
Nonlinear reduced DNN models for state estimation. Zbl 1492.65291
Dahmen, Wolfgang; Wang, Min; Wang, Zhu
2022
Continuous finite element subgrid basis functions for discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. Zbl 1492.65261
Boscheri, Walter; Dumbser, Michael; Gaburro, Elena
2022
Solving time dependent Fokker-Planck equations via temporal normalizing flow. Zbl 1495.65187
Feng, Xiaodong; Zeng, Li; Zhou, Tao
2022
PFNN-2: a domain decomposed penalty-free neural network method for solving partial differential equations. Zbl 1498.65155
Sheng, Hailong; Yang, Chao
2022
Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309
Liao, Yulei; Ming, Pingbing
2021
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
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
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
A modified adaptive improved mapped WENO method. Zbl 1482.65146
Li, Ruo; Zhong, Wei
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
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 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 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
EMPIRE-PIC: a performance portable unstructured particle-in-cell code. Zbl 1494.78004
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
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
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
A broad class of conservative numerical methods for dispersive wave equations. Zbl 1473.65154
Ranocha, Hendrik; Mitsotakis, Dimitrios; Ketcheson, David I.
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
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
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
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
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
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
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
Discrete-velocity vector-BGK models based numerical methods for the incompressible Navier-Stokes equations. Zbl 1473.65130
Zhao, Jin
2021
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study. Zbl 1480.76166
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
One-dimensional blood flow with discontinuous properties and transport: mathematical analysis and numerical schemes. Zbl 1480.76171
Spilimbergo, Alessandra; Toro, Eleuterio F.; Müller, Lucas O.
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
Investigation of Riemann solver with internal reconstruction (RSIR) for the Euler equations. Zbl 1473.35419
Chiapolino, Alexandre; Saurel, Richard; Toro, Eleuterio
2021
A mortar spectral element method for full-potential electronic structure calculations. Zbl 1475.65182
Guo, Yichen; Jia, Lueling; Chen, Huajie; Li, Huiyuan; Zhang, Zhimin
2021
Fast one-dimensional convolution with general kernels using sum-of-exponential approximation. Zbl 07419727
Zhang, Yong; Zhuang, Chijie; Jiang, Shidong
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
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
Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. Zbl 1473.65225
Zhang, Qian; Xu, Yan; Shu, Chi-Wang
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 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
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
Consistent forcing scheme in the simplified lattice Boltzmann method for incompressible flows. Zbl 1485.76066
Gao, Yuan; Yang, Liuming; Yu, Yang; Hou, Guoxiang; Hou, Zhongbao
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
An adaptive surrogate modeling based on deep neural networks for large-scale Bayesian inverse problems. Zbl 1482.65206
Yan, Liang; Zhou, Tao
2020
Finite neuron method and convergence analysis. Zbl 1473.65350
Xu, Jinchao
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
A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046
Yu, Jian; Hesthaven, Jan S.
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
Machine learning and computational mathematics. Zbl 1473.00035
E, Weinan
2020
Deep network approximation characterized by number of neurons. Zbl 07419151
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
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
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
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
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
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
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
$$H^2$$-conforming methods and two-grid discretizations for the elastic transmission eigenvalue problem. Zbl 1473.65283
Yang, Yidu; Han, Jiayu; Bi, Hai
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
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
Entropies and symmetrization of hyperbolic stochastic Galerkin formulations. Zbl 07418512
Gerster, Stephan; Herty, Michael
2020
Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. Zbl 1473.65263
Liu, Hailiang; Maimaitiyiming, Wumaier
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
Random batch algorithms for quantum Monte Carlo simulations. Zbl 1473.65008
Jin, Shi; Li, Xiantao
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
Modified ghost fluid method with axisymmetric source correction (MGFM/ASC). Zbl 07419109
Feng, Chengliang; Liu, Tiegang; Xu, Liang; Yu, Changsheng
2020
...and 1049 more Documents
all top 5

### Cited by 9,566 Authors

 79 Shu, Chi-Wang 74 Dumbser, Michael 53 Xu, Kun 50 Yang, Xiaofeng 49 Huang, Yunqing 48 Chung, Tsz Shun Eric 48 Kurganov, Alexander 47 Qiu, Jianxian 39 Carrillo de la Plata, José Antonio 39 Kim, Junseok 36 Tang, Huazhong 36 Zhu, Jun 34 Liu, Hailiang 34 Liu, Tiegang 33 Li, Ruo 32 Xu, Yan 32 Yuan, Guangwei 31 Antoine, Xavier 31 Wang, Cheng 30 Boscheri, Walter 30 Shen, Jie 29 Chen, Yanping 29 Zhang, Jiwei 28 Efendiev, Yalchin R. 28 Hu, Guanghui 28 Loubère, Raphaël 28 Xing, Yulong 27 Gassner, Gregor J. 27 Wang, Zhijian 26 Chertock, Alina E. 25 He, Xiaoming 25 Karniadakis, George Em 25 Sun, Shuyu 25 Zhao, Jia 24 Dehghan Takht Fooladi, Mehdi 24 Li, Jichun 24 Qiu, Jingmei 24 Russo, Giovanni 24 Toro, Eleuterio Francisco 23 Huang, Weizhang 23 Jin, Shi 23 Tang, Tao 23 Wise, Steven M. 22 Wang, Qi 22 Yang, Junxiang 22 Zhou, Tao 21 Balsara, Dinshaw S. 21 Luo, Hong 21 Sun, Haiwei 21 Wang, Hong 21 Xia, Yinhua 20 Nordström, Jan 20 Xiu, Dongbin 19 Lai, Mingchih 19 Leung, Wingtat 19 Li, Qin 19 Titarev, Vladimir A. 19 Vasilyeva, Maria V. 19 Winters, Andrew R. 18 Abgrall, Rémi 18 Feng, Xinlong 18 Hong, Jialin 18 Kou, Jisheng 18 Li, Zhilin 18 Liang, Dong 18 Miranville, Alain M. 18 Zhai, Qilong 17 Cheng, Jian 17 Deng, Xiaogang 17 He, Yinnian 17 Liu, Chun 17 Lorin, Emmanuel 17 Lowengrub, John Samuel 17 Wang, Yushun 16 Cai, Wei 16 Cai, Zhenning 16 Du, Qiang 16 Gong, Yuezheng 16 Guo, Wei 16 Guo, Zhaoli 16 Hesthaven, Jan S. 16 Iollo, Angelo 16 Kreiss, Gunilla 16 Li, Yibao 16 Narayan, Akil C. 16 Pareschi, Lorenzo 16 Shyy, Wei 16 Wang, Lilian 16 Xiao, Feng 16 Zheng, Chunxiong 15 Chen, Ke 15 Chen, Wenbin 15 Degond, Pierre 15 Fox, Rodney O. 15 Khoo, Boo Cheong 15 Li, Peijun 15 Lin, Guang 15 Liu, Xin 15 Lu, Benzhuo 15 Sjogreen, Bjorn ...and 9,466 more Authors
all top 5

### Cited in 373 Journals

 1,594 Journal of Computational Physics 501 Journal of Scientific Computing 429 Computers and Fluids 284 Journal of Computational and Applied Mathematics 284 Communications in Computational Physics 268 Computer Methods in Applied Mechanics and Engineering 239 Computers & Mathematics with Applications 205 SIAM Journal on Scientific Computing 175 Applied Mathematics and Computation 172 Applied Numerical Mathematics 94 Journal of Fluid Mechanics 79 SIAM Journal on Numerical Analysis 77 Advances in Applied Mathematics and Mechanics 70 Numerische Mathematik 62 International Journal of Computer Mathematics 62 Multiscale Modeling & Simulation 60 Numerical Algorithms 57 Mathematics and Computers in Simulation 57 Engineering Analysis with Boundary Elements 56 Advances in Computational Mathematics 53 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 51 International Journal for Numerical Methods in Engineering 50 Mathematics of Computation 50 Applied Mathematical Modelling 45 East Asian Journal on Applied Mathematics 44 Computational Mechanics 44 Numerical Methods for Partial Differential Equations 44 Computational Geosciences 40 BIT 37 Discrete and Continuous Dynamical Systems. Series B 37 International Journal of Numerical Analysis and Modeling 35 Applied Mathematics Letters 34 Computational and Applied Mathematics 34 Communications in Nonlinear Science and Numerical Simulation 29 Communications on Applied Mathematics and Computation 28 SIAM Journal on Applied Mathematics 27 Physica D 27 International Journal of Computational Fluid Dynamics 27 European Journal of Mechanics. B. Fluids 27 Kinetic and Related Models 27 SIAM/ASA Journal on Uncertainty Quantification 26 International Journal for Numerical Methods in Fluids 26 Mathematical Methods in the Applied Sciences 24 Computer Physics Communications 24 Science China. Mathematics 23 Advances in Difference Equations 22 International Journal of Computational Methods 22 Discrete and Continuous Dynamical Systems. Series S 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 SIAM Journal on Mathematical Analysis 17 Acta Mechanica Sinica 16 Journal of Engineering Mathematics 16 Physica A 16 Numerical Mathematics: Theory, Methods and Applications 15 Inverse Problems and Imaging 15 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 14 Matematicheskoe Modelirovanie 14 Journal of Applied Mathematics and Computing 14 SIAM Journal on Applied Dynamical Systems 13 Journal of Differential Equations 13 AMM. Applied Mathematics and Mechanics. (English Edition) 13 Electronic Research Archive 12 Journal of Mathematical Biology 12 Bulletin of Mathematical Biology 12 Journal of Nonlinear Science 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 Computational Mathematics 11 International Journal of Applied and Computational Mathematics 11 SMAI Journal of Computational Mathematics 11 Results in Applied Mathematics 10 Mathematical Biosciences 10 Frontiers of Mathematics in China 10 SN Partial Differential Equations and Applications 9 Fluid Dynamics 9 Journal of Mathematical Physics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Fractional Calculus & Applied Analysis 9 Networks and Heterogeneous Media 9 AIMS Mathematics 8 Applicable Analysis 8 Nonlinearity 8 Calcolo 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Calculus of Variations and Partial Differential Equations 8 Abstract and Applied Analysis 8 Communications on Pure and Applied Analysis 8 Boundary Value Problems 8 Communications in Applied Mathematics and Computational Science 8 SIAM Journal on Imaging Sciences ...and 273 more Journals
all top 5

### Cited in 56 Fields

 5,016 Numerical analysis (65-XX) 3,146 Fluid mechanics (76-XX) 2,989 Partial differential equations (35-XX) 659 Mechanics of deformable solids (74-XX) 488 Statistical mechanics, structure of matter (82-XX) 350 Biology and other natural sciences (92-XX) 323 Optics, electromagnetic theory (78-XX) 277 Probability theory and stochastic processes (60-XX) 205 Computer science (68-XX) 157 Classical thermodynamics, heat transfer (80-XX) 155 Calculus of variations and optimal control; optimization (49-XX) 153 Geophysics (86-XX) 145 Statistics (62-XX) 144 Ordinary differential equations (34-XX) 127 Approximations and expansions (41-XX) 123 Dynamical systems and ergodic theory (37-XX) 121 Real functions (26-XX) 115 Quantum theory (81-XX) 95 Integral equations (45-XX) 72 Information and communication theory, circuits (94-XX) 55 Operations research, mathematical programming (90-XX) 53 Systems theory; control (93-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 40 Special functions (33-XX) 36 Operator theory (47-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 31 Astronomy and astrophysics (85-XX) 23 Mechanics of particles and systems (70-XX) 20 Functional analysis (46-XX) 20 Global analysis, analysis on manifolds (58-XX) 20 Relativity and gravitational theory (83-XX) 14 Potential theory (31-XX) 14 Integral transforms, operational calculus (44-XX) 9 Difference and functional equations (39-XX) 7 Combinatorics (05-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 4 Measure and integration (28-XX) 4 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 Manifolds and cell complexes (57-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)