## 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: 1,669 Publications (since 2006) References Indexed: 630 Publications with 26,279 References.
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### Authors

 21 Shu, Chi-Wang 17 Xu, Kun 16 Zhang, Pingwen 15 Cai, Wei 14 Li, Ruo 13 Liu, Tiegang 13 Qiu, Jianxian 13 Yuan, Guangwei 12 Sjogreen, Bjorn 12 Succi, Sauro 12 Xu, Yan 11 Huang, Yunqing 11 Khoo, Boo Cheong 11 Sheu, Tony Wen-Hann 11 Tang, Tao 10 Guo, Zhaoli 10 Hu, Guanghui 10 Zhang, Zhimin 9 Bao, Weizhu 9 Du, Qiang 9 Shen, Jie 9 Toro, Eleuterio F. 9 Xiu, Dongbin 9 Zhang, Jiwei 8 Chung, Tsz Shun Eric 8 E, Weinan 8 Efendiev, Yalchin R. 8 Hesthaven, Jan S. 8 Huang, Huaxiong 8 Karniadakis, George Em 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 Filippi, Simonetta 7 Han, Houde 7 Hong, Jialin 7 Ju, Lili 7 Li, Peijun 7 Liang, Dong 7 Tang, Huazhong 7 Tian, Baolin 7 Wang, Cheng 7 Xia, Yinhua 7 Xu, Chuanju 7 Ying, Wenjun 7 Zhou, Tao 7 Zhu, Jun 6 Antoine, Xavier 6 Bao, Gang 6 Chai, Zhenhua 6 Chen, Ching-Shyang 6 Cheng, Jian 6 Deng, Xiaogang 6 Diaz, Julien 6 Dumbser, Michael 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 Sheng, Zhiqiang 6 Shu, Shi 6 Sun, Pengtao 6 Tan, Zhijun 6 Wang, Desheng 6 Wang, Yushun 6 Xiao, Heng 6 Xing, Yulong 6 Yang, Xiaofeng 6 Zhang, Bo 5 Abgrall, Rémi 5 Azaïez, Mejdi 5 Cao, Yanzhao 5 Cheng, Juan 5 Cheng, Xiaoliang 5 Chertock, Alina E. 5 Dubroca, Bruno 5 Gunzburger, Max D. 5 Guo, Ruihan 5 Leung, Shingyu 5 Li, Jiequan 5 Li, Xiantao 5 Lin, Ping 5 Lu, Benzhuo 5 Luo, Hong 5 Ng, Michael Kwok-Po ...and 2,974 more Authors
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### Fields

 1,080 Numerical analysis (65-XX) 742 Fluid mechanics (76-XX) 455 Partial differential equations (35-XX) 175 Mechanics of deformable solids (74-XX) 152 Statistical mechanics, structure of matter (82-XX) 124 Optics, electromagnetic theory (78-XX) 83 Biology and other natural sciences (92-XX) 76 Computer science (68-XX) 75 Geophysics (86-XX) 62 Quantum theory (81-XX) 48 Probability theory and stochastic processes (60-XX) 45 Classical thermodynamics, heat transfer (80-XX) 32 Statistics (62-XX) 30 Dynamical systems and ergodic theory (37-XX) 24 Information and communication theory, circuits (94-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Ordinary differential equations (34-XX) 18 Integral equations (45-XX) 16 Approximations and expansions (41-XX) 13 General and overarching topics; collections (00-XX) 12 Mechanics of particles and systems (70-XX) 12 Operations research, mathematical programming (90-XX) 11 Relativity and gravitational theory (83-XX) 11 Systems theory; control (93-XX) 10 Astronomy and astrophysics (85-XX) 9 Operator theory (47-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Special functions (33-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 3 Mathematics education (97-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-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

1,029 Publications have been cited 8,332 times in 6,362 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
Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001
Hou, Gene; Wang, Jin; Layton, Anita
2012
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121
Chandrashekar, Praveen
2013
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
2009
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang
2009
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
2011
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
2009
All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129
Degond, Pierre; Tang, Min
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
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
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 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 adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072
Zhang, Zhengru; Qiao, Zhonghua
2012
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
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
Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117
Chen, Feng; Shen, Jie
2013
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
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
Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138
Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel
2011
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael
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
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
Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127
Narayan, Akil; Zhou, Tao
2015
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
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
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 07413965
Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin
2017
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
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
A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108
Zhai, Qilong; Zhang, Ran; Mu, Lin
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
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
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 unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
2013
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 robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
2011
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
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
Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317
Shen, Jie; Yang, Xiaofeng; Wang, Qi
2013
Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057
Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi
2015
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
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
Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079
Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping
2006
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S.
2006
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
Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140
Puppo, Gabriella; Semplice, Matteo
2011
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
Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300
Runborg, Olof
2007
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
2012
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
A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016
2009
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
2007
Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193
Wu, J.; Shu, C.
2010
Recent developments in numerical techniques for transport-based medical imaging methods. Zbl 1364.94100
Ren, Kui
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
Velocity-based moving mesh methods for nonlinear partial differential equations. Zbl 1388.65094
Baines, M. J.; Hubbard, M. E.; Jimack, P. K.
2011
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 reconstructed discontinuous Galerkin method for the Euler equations on arbitrary grids. Zbl 1388.65124
Luo, Hong; Luo, Luqing; Nourgaliev, Robert
2012
Spectral-element and adjoint methods in seismology. Zbl 1183.74320
Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya
2008
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
2010
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
PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169
Malhotra, Dhairya; Biros, George
2015
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
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
2017
On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126
Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo
2013
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
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
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha
2016
Adaptive conservative cell average spectral element methods for transient Wigner equation in quantum transport. Zbl 1364.65211
Shao, Sihong; Lu, Tiao; Cai, Wei
2011
Two-dimensional multi-domain hybrid spectral-WENO methods for conservation laws. Zbl 1114.76050
Costa, B.; Don, W. S.; Gottlieb, D.; Sendersky, R.
2006
A moving mesh method for the Euler flow calculations using a directional monitor function. Zbl 1115.76362
Tang, H.-Z.
2006
A high-order accurate gas-kinetic scheme for one- and two-dimensional flow simulation. Zbl 1373.76259
Liu, Na; Tang, Huazhong
2014
Accuracy of the adaptive GRP scheme and the simulation of 2-D Riemann problems for compressible Euler equations. Zbl 1373.76130
Han, Ee; Li, Jiequan; Tang, Huazhong
2011
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 Cartesian embedded boundary method for hyperbolic conservation laws. Zbl 1164.76354
2007
Computing the ground and first excited states of the fractional Schrödinger equation in an infinite potential well. Zbl 1388.65051
Duo, Siwei; Zhang, Yanzhi
2015
Numerical regularized moment method for high Mach number flow. Zbl 1373.76296
Cai, Zhenning; Li, Ruo; Wang, Yanli
2012
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 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
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
Structure-preserving numerical methods for stochastic Poisson systems. Zbl 1481.65261
Hong, Jialin; Ruan, Jialin; Sun, Liying; Wang, Lijin
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
Continuous data assimilation with a moving cluster of data points for a reaction diffusion equation: a computational study. Zbl 07419717
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
An adaptive threshold dynamics method for three-dimensional wetting on rough surfaces. Zbl 1473.65149
Xu, Xianmin; Ying, Wenjun
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
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 nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
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
A broad class of conservative numerical methods for dispersive wave equations. Zbl 1473.65154
Ranocha, Hendrik; Mitsotakis, Dimitrios; Ketcheson, David I.
2021
A hybrid immersed boundary-lattice Boltzmann method for simulation of viscoelastic fluid flows interaction with complex boundaries. Zbl 07419722
Sedaghat, M. H.; Bagheri, A. A. H.; Shahmardan, M. M.; Norouzi, M.; Khoo, B. C.; Jayathilake, P. G.
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
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
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
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
Ensemble gradient for learning turbulence models from indirect observations. Zbl 07493143
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
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 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
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
An adaptive surrogate modeling based on deep neural networks for large-scale Bayesian inverse problems. Zbl 1482.65206
Yan, Liang; Zhou, Tao
2020
Deep network approximation characterized by number of neurons. Zbl 07419151
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
2020
A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 07418534
Yu, Jian; Hesthaven, Jan S.
2020
Machine learning and computational mathematics. Zbl 1473.00035
E, Weinan
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
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
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
A kernel-independent treecode based on barycentric Lagrange interpolation. Zbl 1473.65025
Wang, Lei; Krasny, Robert; Tlupova, Svetlana
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
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
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
Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. Zbl 1473.65263
Liu, Hailiang; Maimaitiyiming, Wumaier
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
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
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
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 07418367
Khakimzyanov, Gayaz; Dutykh, Denys
2020
Entropies and symmetrization of hyperbolic stochastic Galerkin formulations. Zbl 07418512
Gerster, Stephan; Herty, Michael
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
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
A data-driven random subfeature ensemble learning algorithm for weather forecasting. Zbl 1473.62382
Yu, Chen; Li, Haochen; Xia, Jiangjiang; Wen, Hanqiuzi; Zhang, Pingwen
2020
High-order gas-kinetic scheme in curvilinear coordinates for the Euler and Navier-Stokes solutions. Zbl 1476.76054
Pan, Liang; Xu, Kun
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 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
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
Dying ReLU and initialization: theory and numerical examples. Zbl 07419148
Lu, Lu; Shin, Yeonjong; Su, Yanhui; Karniadakis, George Em
2020
Multifidelity data fusion via gradient-enhanced Gaussian process regression. Zbl 1477.62238
Deng, Yixiang; Lin, Guang; Yang, Xiu
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
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
The Riemann problem for a blood flow model in arteries. Zbl 1476.35139
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi
2020
A fast state-based peridynamic numerical model. Zbl 1473.65037
Du, Ning; Guo, Xu; Wang, Hong
2020
Lévy backward SDE filter for jump diffusion processes and its applications in material sciences. Zbl 1473.65012
Bao, Feng; Archibald, Richard; Maksymovych, Peter
2020
A three-level multi-continua upscaling method for flow problems in fractured porous media. Zbl 1473.65264
Vasilyeva, Maria; Chung, Eric T.; Efendiev, Yalchin; Tyrylgin, Aleksey
2020
A new type of high-order WENO schemes for Hamilton-Jacobi equations on triangular meshes. Zbl 1473.65226
Zhu, Jun; Qiu, Jianxian
2020
Vectorial kinetic relaxation model with central velocity. Application to implicit relaxations schemes. Zbl 07418523
Coulette, David; Courtès, Clémentine; Franck, Emmanuel; Navoret, Laurent
2020
Decoupled, energy stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system with logarithmic Flory-Huggins potential. Zbl 1473.35404
Jia, Hong-En; Guo, Ya-Yu; Li, Ming; Huang, Yunqing; Feng, Guo-Rui
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
Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327
Chen, C. S.; Karageorghis, Andreas; Zheng, Hui
2020
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
On linear and unconditionally energy stable algorithms for variable mobility Cahn-Hilliard type equation with logarithmic Flory-Huggins potential. Zbl 1473.65218
Yang, Xiaofeng; Zhao, Jia
2019
Locating multiple multipolar acoustic sources using the direct sampling method. Zbl 1473.65275
Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu
2019
Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity. Zbl 07418058
Bao, Weizhu; Feng, Yue; Yi, Wenfan
2019
A new multi-component diffuse interface model with Peng-Robinson equation of state and its scalar auxiliary variable (SAV) approach. Zbl 1473.65260
Qiao, Zhonghua; Sun, Shuyu; Zhang, Tao; Zhang, Yuze
2019
Detonation simulations with a fifth-order TENO scheme. Zbl 07417538
Dong, Haibo; Fu, Lin; Zhang, Fan; Liu, Yu; Liu, Jun
2019
Simulation of bipolar charge transport in graphene by using a discontinuous Galerkin method. Zbl 1473.82030
Majorana, Armando; Nastasi, Giovanni; Romano, Vittorio
2019
A targeted ENO scheme as implicit model for turbulent and genuine subgrid scales. Zbl 07418020
Fu, Lin; Hu, Xiangyu; Adams, Nikolaus A.
2019
High accuracy benchmark problems for Allen-Cahn and Cahn-Hilliard dynamics. Zbl 1473.65099
Church, Jon Matteo; Guo, Zhenlin; Jimack, Peter K.; Madzvamuse, Anotida; Promislow, Keith; Wetton, Brian; Wise, Steven M.; Yang, Fengwei
2019
A hybrid method with TENO based discontinuity indicator for hyperbolic conservation laws. Zbl 07418046
Fu, Lin
2019
Mass- and energy-conserved numerical schemes for nonlinear Schrödinger equations. Zbl 1473.65102
Feng, Xiaobing; Liu, Hailiang; Ma, Shu
2019
Efficient numerical computation of time-fractional nonlinear Schrödinger equations in unbounded domain. Zbl 07416715
Zhang, Jiwei; Li, Dongfang; Antoine, Xavier
2019
Particle based gPC methods for mean-field models of swarming with uncertainty. Zbl 1473.65252
Carrillo Antonio, José; Pareschi, Lorenzo; Zanella, Mattia
2019
Reconstructed discontinuous Galerkin methods for hyperbolic diffusion equations on unstructured grids. Zbl 1479.76063
Lou, Jialin; Liu, Xiaodong; Luo, Hong; Nishikawa, Hiroaki
2019
Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes. Zbl 1474.65307
Boscheri, Walter; Semplice, Matteo; Dumbser, Michael
2019
Discontinuous bubble immersed finite element method for Poisson-Boltzmann equation. Zbl 1473.65307
Kwon, In; Kwak, Do Y.
2019
A novel second-order scheme for the molecular beam epitaxy model with slope selection. Zbl 1473.65276
Chen, Lizhen; Zhao, Jia; Gong, Yuezheng
2019
Physics-constrained, data-driven discovery of coarse-grained dynamics. Zbl 1473.62088
Felsberger, Lukas; Koutsourelakis, Phaedon-Stelios
2019
Computational optimal design of random rough surfaces in thin-film solar cells. Zbl 1479.35248
Bao, Gang; Cao, Yanzhao; Lin, Junshan; van Wyk, Hans Werner
2019
A posteriori error estimates for the weak Galerkin finite element methods on polytopal meshes. Zbl 1473.65268
Li, Hengguang; Mu, Lin; Ye, Xiu
2019
...and 929 more Documents
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### Cited by 8,610 Authors

 72 Shu, Chi-Wang 68 Dumbser, Michael 51 Xu, Kun 44 Chung, Tsz Shun Eric 44 Huang, Yunqing 44 Qiu, Jianxian 43 Yang, Xiaofeng 42 Kurganov, Alexander 35 Carrillo de la Plata, José Antonio 34 Tang, Huazhong 33 Liu, Hailiang 32 Zhu, Jun 30 Liu, Tiegang 30 Shen, Jie 30 Xu, Yan 29 Antoine, Xavier 28 Boscheri, Walter 28 Kim, Junseok 28 Li, Ruo 27 Loubère, Raphaël 27 Wang, Cheng 27 Yuan, Guangwei 26 Efendiev, Yalchin R. 26 Zhang, Jiwei 25 Gassner, Gregor J. 24 Chertock, Alina E. 23 Dehghan Takht Fooladi, Mehdi 23 He, Xiaoming 23 Hu, Guanghui 23 Li, Jichun 23 Qiu, Jingmei 23 Sun, Shuyu 23 Xing, Yulong 22 Chen, Yanping 22 Karniadakis, George Em 22 Toro, Eleuterio F. 22 Zhao, Jia 21 Huang, Weizhang 21 Tang, Tao 20 Balsara, Dinshaw S. 20 Luo, Hong 20 Nordström, Jan 20 Wang, Hong 20 Xiu, Dongbin 20 Zhou, Tao 19 Wang, Qi 19 Winters, Andrew R. 19 Wise, Steven M. 18 Lai, Mingchih 18 Li, Qin 18 Li, Zhilin 18 Titarev, Vladimir A. 18 Vasilyeva, Maria V. 18 Zhai, Qilong 17 Hong, Jialin 17 Jin, Shi 17 Lowengrub, John Samuel 16 Abgrall, Rémi 16 Cai, Zhenning 16 Cheng, Jian 16 Guo, Wei 16 Guo, Zhaoli 16 Leung, Wingtat 16 Liang, Dong 16 Liu, Chun 16 Lorin, Emmanuel 16 Sun, Haiwei 16 Wang, Yushun 16 Xia, Yinhua 16 Zheng, Chunxiong 15 Cai, Wei 15 Chen, Ke 15 Deng, Xiaogang 15 Fox, Rodney O. 15 He, Yinnian 15 Khoo, Boo Cheong 15 Kou, Jisheng 15 Kreiss, Gunilla 15 Miranville, Alain M. 15 Narayan, Akil C. 15 Sjogreen, Bjorn 15 Wang, Lilian 15 Wang, Liqun 15 Zhang, Kai 15 Zhang, Ran 14 Brull, Stephane 14 Castro, Manuel J. 14 Du, Qiang 14 Gong, Yuezheng 14 Hesthaven, Jan S. 14 Iollo, Angelo 14 Pareschi, Lorenzo 14 Shyy, Wei 14 Sun, Weiwei 14 Titi, Edriss Saleh 14 Torrilhon, Manuel 14 Xu, Chuanju 14 Yi, Nianyu 14 Yuan, Li 14 Zhang, Pingwen ...and 8,510 more Authors
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### Cited in 341 Journals

 1,461 Journal of Computational Physics 435 Journal of Scientific Computing 403 Computers and Fluids 249 Communications in Computational Physics 247 Journal of Computational and Applied Mathematics 239 Computer Methods in Applied Mechanics and Engineering 206 Computers & Mathematics with Applications 181 SIAM Journal on Scientific Computing 159 Applied Numerical Mathematics 145 Applied Mathematics and Computation 85 Journal of Fluid Mechanics 72 SIAM Journal on Numerical Analysis 67 Advances in Applied Mathematics and Mechanics 66 Numerische Mathematik 58 Multiscale Modeling & Simulation 57 International Journal of Computer Mathematics 56 Numerical Algorithms 56 Engineering Analysis with Boundary Elements 51 International Journal for Numerical Methods in Engineering 51 Advances in Computational Mathematics 48 Mathematics of Computation 48 Mathematics and Computers in Simulation 46 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 44 Numerical Methods for Partial Differential Equations 44 Applied Mathematical Modelling 43 Computational Geosciences 42 Computational Mechanics 41 East Asian Journal on Applied Mathematics 38 BIT 32 Discrete and Continuous Dynamical Systems. Series B 30 Computational and Applied Mathematics 27 International Journal of Numerical Analysis and Modeling 27 SIAM/ASA Journal on Uncertainty Quantification 26 International Journal for Numerical Methods in Fluids 26 Mathematical Methods in the Applied Sciences 25 International Journal of Computational Fluid Dynamics 25 European Journal of Mechanics. B. Fluids 25 Kinetic and Related Models 24 Computer Physics Communications 24 SIAM Journal on Applied Mathematics 23 Applied Mathematics Letters 23 Communications on Applied Mathematics and Computation 22 Communications in Nonlinear Science and Numerical Simulation 21 Wave Motion 21 Science China. Mathematics 20 Journal of Statistical Physics 20 Physica D 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Mathematical Problems in Engineering 20 International Journal of Computational Methods 20 Advances in Difference Equations 19 Journal of Mathematical Analysis and Applications 19 Discrete and Continuous Dynamical Systems. Series S 18 Inverse Problems 18 Computational Methods in Applied Mathematics 17 Archive for Rational Mechanics and Analysis 17 Acta Mechanica Sinica 15 Journal of Engineering Mathematics 15 SIAM Journal on Mathematical Analysis 15 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 14 Inverse Problems and Imaging 13 Journal of Differential Equations 13 Computational Mathematics and Mathematical Physics 13 SIAM Journal on Applied Dynamical Systems 13 AMM. Applied Mathematics and Mechanics. (English Edition) 13 Electronic Research Archive 12 Bulletin of Mathematical Biology 12 Matematicheskoe Modelirovanie 12 Archives of Computational Methods in Engineering 12 Inverse Problems in Science and Engineering 11 Journal of Mathematical Biology 11 Physica A 11 Results in Applied Mathematics 10 Journal of Nonlinear Science 10 Foundations of Computational Mathematics 10 Frontiers of Mathematics in China 9 Journal of Mathematical Physics 9 Mathematical Biosciences 9 SMAI Journal of Computational Mathematics 8 Fluid Dynamics 8 Nonlinearity 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Calcolo 8 Communications on Pure and Applied Analysis 8 Journal of Applied Mathematics and Computing 8 Networks and Heterogeneous Media 8 Molecular Based Mathematical Biology 8 Research in the Mathematical Sciences 8 International Journal of Applied and Computational Mathematics 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 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 7 Abstract and Applied Analysis 7 SIAM Journal on Imaging Sciences 7 SN Partial Differential Equations and Applications 6 Acta Mechanica 6 Applicable Analysis 6 Chaos, Solitons and Fractals ...and 241 more Journals
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### Cited in 55 Fields

 4,433 Numerical analysis (65-XX) 2,825 Fluid mechanics (76-XX) 2,556 Partial differential equations (35-XX) 592 Mechanics of deformable solids (74-XX) 439 Statistical mechanics, structure of matter (82-XX) 323 Biology and other natural sciences (92-XX) 305 Optics, electromagnetic theory (78-XX) 240 Probability theory and stochastic processes (60-XX) 138 Classical thermodynamics, heat transfer (80-XX) 138 Geophysics (86-XX) 137 Ordinary differential equations (34-XX) 136 Computer science (68-XX) 130 Statistics (62-XX) 126 Calculus of variations and optimal control; optimization (49-XX) 114 Dynamical systems and ergodic theory (37-XX) 104 Quantum theory (81-XX) 103 Approximations and expansions (41-XX) 82 Integral equations (45-XX) 77 Real functions (26-XX) 68 Information and communication theory, circuits (94-XX) 49 Systems theory; control (93-XX) 45 Operations research, mathematical programming (90-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 37 Special functions (33-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 28 Operator theory (47-XX) 28 Astronomy and astrophysics (85-XX) 23 Mechanics of particles and systems (70-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Functional analysis (46-XX) 15 Relativity and gravitational theory (83-XX) 13 Potential theory (31-XX) 13 Integral transforms, operational calculus (44-XX) 7 Combinatorics (05-XX) 7 Difference and functional equations (39-XX) 6 General and overarching topics; collections (00-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)