# zbMATH — the first resource for mathematics

## 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: 1,036 Publications (since 2006) References Indexed: 1 Publication with 8 References.
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#### Authors

 16 Shu, Chi-Wang 12 Cai, Wei 12 Sjogreen, Bjorn 11 Zhang, Pingwen 10 Sheu, Tony Wen-Hann 10 Tang, Tao 9 Li, Ruo 9 Succi, Sauro 9 Xu, Kun 8 Guo, Zhaoli 8 Khoo, Boo Cheong 8 Shen, Jie 7 Han, Houde 7 Mishra, Siddhartha 7 Shi, Baochang 7 Xiu, Dongbin 7 Xu, Yan 6 Bao, Weizhu 6 Diaz, Julien 6 Du, Qiang 6 Hesthaven, Jan S. 6 Hong, Jialin 6 Huang, Huaxiong 6 Huang, Yunqing 6 Li, Zhilin 6 Liang, Dong 6 Petersson, N. Anders 6 Wang, Desheng 6 Yuan, Guangwei 5 Chai, Zhenhua 5 Cheng, Xiaoliang 5 Cherubini, Christian 5 Dumbser, Michael 5 E, Weinan 5 Filippi, Simonetta 5 Gunzburger, Max D. 5 Hu, Guanghui 5 Liu, Tiegang 5 Ng, Michael Kwok-Po 5 Qiu, Jianxian 5 Tan, Zhijun 5 Toro, Eleuterio F. 5 Ubertini, Stefano 5 Xu, Zhenli 5 Yang, Jaw-Yen 5 Yee, Helen C. 5 Zheng, Chunxiong 4 Abgrall, Rémi 4 Barucq, Hélène 4 Brull, Stephane 4 Chen, Shiyi 4 Degond, Pierre 4 Deng, Xiaogang 4 Efendiev, Yalchin R. 4 Huang, Jingfang 4 Jin, Shi 4 Joly, Patrick 4 Kurganov, Alexander 4 Leung, Shingyu 4 Li, Xiaofan 4 Lim, Kian-Meng 4 Liu, Hailiang 4 Lu, Benzhuo 4 Lu, Tiao 4 Ming, Pingbing 4 Nordström, Jan 4 Palpacelli, Silvia 4 Qiao, Zhonghua 4 Shao, Sihong 4 Shashkov, Mikhail J. 4 Shih, Yintzer 4 Tang, Huazhong 4 Torrilhon, Manuel 4 Wang, Qi 4 Wang, Yushun 4 Yao, Jun 4 Ying, Wenjun 4 Zhang, Hanxin 4 Zhou, Tao 4 Zhu, Jun 3 Ansumali, Santosh 3 Antoine, Xavier 3 Auteri, Franco 3 Banks, Jeffrey W. 3 Bao, Gang 3 Beale, J. Thomas 3 Bella, Gino 3 Besse, Christophe 3 Cai, Xiao-Chuan 3 Chen, Jingrun 3 Chen, Ke 3 Chen, Long-Qing 3 Chen, Wenbin 3 Chen, Xiaopeng 3 Cheng, Juan 3 Chertock, Alina E. 3 Chiappini, Daniele 3 Cohen, Gary C. 3 Cui, Junzhi 3 Don, Wai Sun ...and 1,833 more Authors
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#### Fields

 652 Numerical analysis (65-XX) 503 Fluid mechanics (76-XX) 229 Partial differential equations (35-XX) 100 Mechanics of deformable solids (74-XX) 100 Statistical mechanics, structure of matter (82-XX) 85 Optics, electromagnetic theory (78-XX) 51 Biology and other natural sciences (92-XX) 41 Geophysics (86-XX) 39 Quantum theory (81-XX) 34 Probability theory and stochastic processes (60-XX) 30 Classical thermodynamics, heat transfer (80-XX) 28 Computer science (68-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Information and communication theory, circuits (94-XX) 15 Statistics (62-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Integral equations (45-XX) 8 General and overarching topics; collections (00-XX) 8 Operations research, mathematical programming (90-XX) 7 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Relativity and gravitational theory (83-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Mechanics of particles and systems (70-XX) 5 Systems theory; control (93-XX) 4 Convex and discrete geometry (52-XX) 4 Astronomy and astrophysics (85-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

790 Publications have been cited 6,537 times in 5,126 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
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin
2009
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
2010
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
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang
2009
Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001
Hou, Gene; Wang, Jin; Layton, Anita
2012
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
2011
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
2009
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
All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129
Degond, Pierre; Tang, Min
2011
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121
Chandrashekar, Praveen
2013
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
2009
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
The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200
Liu, Hailiang; Yan, Jue
2010
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 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
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
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
2008
Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049
van Leer, B.
2006
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
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
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
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
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
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
A compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018
Mathelin, L.; Gallivan, K. A.
2012
On the volume conservation of the immersed boundary method. Zbl 1373.74098
Griffith, Boyce E.
2012
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
Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085
Dolejsi, Vit
2008
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael
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
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
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
Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084
Titarev, V. A.
2012
Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146
Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael
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
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
Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127
Narayan, Akil; Zhou, Tao
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
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
Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066
Qiu, Jing-Mei; Shu, Chi-Wang
2011
Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317
Shen, Jie; Yang, Xiaofeng; Wang, Qi
2013
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
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 third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Zbl 1364.76111
Cheng, Juan; Shu, Chi-Wang
2008
A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016
2009
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S.
2006
Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140
Puppo, Gabriella; Semplice, Matteo
2011
A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
2014
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
2007
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
2012
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 all-regime Lagrange-projection like scheme for the gas dynamics equations on unstructured meshes. Zbl 1373.76120
Chalons, Christophe; Girardin, Mathieu; Kokh, Samuel
2016
Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300
Runborg, Olof
2007
Recent developments in numerical techniques for transport-based medical imaging methods. Zbl 1364.94100
Ren, Kui
2010
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
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
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
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
2013
On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126
Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo
2013
Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193
Wu, J.; Shu, C.
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
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 robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
2011
Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Zbl 1364.76225
Popov, Peter; Efendiev, Yalchin; Qin, Guan
2009
Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079
Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping
2006
Two-dimensional multi-domain hybrid spectral-WENO methods for conservation laws. Zbl 1114.76050
Costa, B.; Don, W. S.; Gottlieb, D.; Sendersky, R.
2006
Spectral-element and adjoint methods in seismology. Zbl 1183.74320
Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya
2008
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
Phase-field models for biofilms. II: 2-D numerical simulations of biofilm-flow interaction. Zbl 1365.92024
Zhang, Tianyu; Cogan, Nick; Wang, Qi
2008
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
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
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
PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169
Malhotra, Dhairya; Biros, George
2015
A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108
Zhai, Qilong; Zhang, Ran; Mu, Lin
2016
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
2010
A moving mesh method for the Euler flow calculations using a directional monitor function. Zbl 1115.76362
Tang, H.-Z.
2006
A review of residual distribution schemes for hyperbolic and parabolic problems: the July 2010 state of the art. Zbl 1373.76114
Abgrall, Remi
2012
Numerical regularized moment method for high Mach number flow. Zbl 1373.76296
Cai, Zhenning; Li, Ruo; Wang, Yanli
2012
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
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
Discontinuous-Galerkin discretization of a new class of Green-Naghdi equations. Zbl 1373.76082
Duran, Arnaud; Marche, Fabien
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
Phase field model of thermo-induced Marangoni effects in the mixtures and its numerical simulations with mixed finite element method. Zbl 1364.76097
Sun, Pengtao; Liu, Chun; Xu, Jinchao
2009
Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422
Liu, Chun; Shen, Jie; Yang, Xiaofeng
2007
A Cartesian embedded boundary method for hyperbolic conservation laws. Zbl 1164.76354
2007
A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows. Zbl 1195.76252
Di, Yana; Li, Ruo; Tang, Tao
2008
A parallel second order Cartesian method for elliptic interface problems. Zbl 1388.65131
Cisternino, Marco; Weynans, Lisl
2012
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089
Elliott, Charles M.; Stinner, Björn
2013
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
2017
High order accurate direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for non-conservative hyperbolic systems with stiff source terms. Zbl 1388.65076
Boscheri, Walter; Loubère, Raphaël
2017
Artificial boundary conditions for nonlocal heat equations on unbounded domain. Zbl 1373.45011
Zhang, Wei; Yang, Jiang; Zhang, Jiwei; Du, Qiang
2017
A compact scheme for coupled stochastic nonlinear Schrödinger equations. Zbl 1373.60108
Chen, Chuchu; Hong, Jialin; Ji, Lihai; Kong, Linghua
2017
Construction of symplectic Runge-Kutta methods for stochastic Hamiltonian systems. Zbl 1388.65183
Wang, Peng; Hong, Jialin; Xu, Dongsheng
2017
Numerical study of partially conservative moment equations in kinetic theory. Zbl 1373.82079
Koellermeier, Julian; Torrilhon, Manuel
2017
Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106
Wu, Jilian; Feng, Xinlong; Liu, Fei
2017
A robust and efficient adaptive multigrid solver for the optimal control of phase field formulations of geometric evolution laws. Zbl 1373.49030
Yang, Feng Wei; Venkataraman, Chandrasekhar; Styles, Vanessa; Madzvamuse, Anotida
2017
A simple explanation of superconvergence for discontinuous Galerkin solutions to $$u_t+u_x=0$$. Zbl 1388.65105
Roe, Philip
2017
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
2017
Nonconforming finite element method applied to the driven cavity problem. Zbl 1373.76095
Lim, Roktaek; Sheen, Dongwoo
2017
Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
2017
Second-order two-scale computational method for nonlinear dynamic thermo-mechanical problems of composites with cylindrical periodicity. Zbl 1373.74088
Dong, Hao; Cui, Junzhi; Nie, Yufeng; Yang, Zihao
2017
Computing optimal interfacial structure of modulated phases. Zbl 1373.82032
Xu, Jie; Wang, Chu; Shi, An-Chang; Zhang, Pingwen
2017
A mathematical analysis of scale similarity. Zbl 1373.76051
Wang, Z. J.; Li, Yanan
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
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 new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108
Zhai, Qilong; Zhang, Ran; Mu, Lin
2016
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
Two-grid method for miscible displacement problem by mixed finite element methods and mixed finite element method of characteristics. Zbl 1373.76079
Chen, Yanping; Hu, Hanzhang
2016
A comparative study of rosenbrock-type and implicit Runge-Kutta time integration for discontinuous Galerkin method for unsteady 3D compressible Navier-Stokes equations. Zbl 1373.76096
Liu, Xiaodong; Xia, Yidong; Luo, Hong; Xuan, Lijun
2016
Divergence-free WENO reconstruction-based finite volume scheme for solving ideal MHD equations on triangular meshes. Zbl 1373.76149
Xu, Zhiliang; Balsara, Dinshaw S.; Du, Huijing
2016
On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities. Zbl 1373.76089
Grün, Günther; Guillén-González, Francisco; Metzger, Stefan
2016
Solving Maxwell’s equation in meta-materials by a CG-DG method. Zbl 1388.65111
Xie, Ziqing; Wang, Jiangxing; Wang, Bo; Chen, Chuanmiao
2016
A posteriori error estimates for conservative local discontinuous Galerkin methods for the generalized Korteweg-de Vries equation. Zbl 1388.65100
Karakashian, Ohannes; Xing, Yulong
2016
On the disclination lines of nematic liquid crystals. Zbl 1373.76012
Hu, Yucheng; Qu, Yang; Zhang, Pingwen
2016
The mass-preserving S-DDM scheme for two-dimensional parabolic equations. Zbl 1388.65073
Zhou, Zhongguo; Liang, Dong
2016
A 3D multi-phase hydrodynamic model for cytokinesis of eukaryotic cells. Zbl 1373.92036
Zhao, Jia; Wang, Qi
2016
A simple method for computing singular or nearly singular integrals on closed surfaces. Zbl 1388.65167
Beale, J. Thomas; Ying, Wenjun; Wilson, Jason R.
2016
Asymptotic-preserving scheme for the M1-Maxwell system in the quasi-neutral regime. Zbl 1373.76169
Guisset, S.; Brull, S.; Dubroca, B.; D&rsquo;humières, E.; Karpov, S.; Potapenko, I.
2016
Parameter-free time adaptivity based on energy evolution for the Cahn-Hilliard equation. Zbl 1388.65060
Luo, Fuesheng; Tang, Tao; Xie, Hehu
2016
High order numerical methods for the dynamic SGS model of turbulent flows with shocks. Zbl 1373.76061
Kotov, D. V.; Yee, H. C.; Wray, A. A.; Hadjadj, A.; Sjögreen, B.
2016
A multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1373.82042
Xie, Hehu; Xie, Manting
2016
Finite volume lattice Boltzmann method for nearly incompressible flows on arbitrary unstructured meshes. Zbl 1373.76256
Li, Weidong; Luo, Li-Shi
2016
An energy-preserving wavelet collocation method for general multi-symplectic formulations of Hamiltonian PDEs. Zbl 1388.65120
Gong, Yuezheng; Wang, Yushun
2016
A numerical methodology for enforcing maximum principles and the non-negative constraint for transient diffusion equations. Zbl 1388.65087
Nakshatrala, K. B.; Nagarajan, H.; Shabouei, M.
2016
An adaptive perfectly matched layer method for multiple cavity scattering problems. Zbl 1388.65160
Wu, Xinming; Zheng, Weiying
2016
A second-order finite difference method for two-dimensional fractional percolation equations. Zbl 1388.65053
Guo, Boling; Xu, Qiang; Zhu, Ailing
2016
Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT. Zbl 1388.65115
Bao, Weizhu; Tang, Qinglin; Zhang, Yong
2016
Two-size moment multi-fluid model: A robust and high-fidelity description of polydisperse moderately dense evaporating sprays. Zbl 1373.76322
Laurent, Frédérique; Sibra, Alaric; Doisneau, François
2016
An efficient immersed boundary-lattice Boltzmann method for the simulation of thermal flow problems. Zbl 1373.76244
Hu, Yang; Li, Decai; Shu, Shi; Niu, Xiaodong
2016
Geometric numerical integration for peakon $$b$$-family equations. Zbl 1388.65116
Cai, Wenjun; Sun, Yajuan; Wang, Yushun
2016
RECFMM: recursive parallelization of the adaptive fast multipole method for Coulomb and screened Coulomb interactions. Zbl 1373.78001
Zhang, Bo; Huang, Jingfang; Pitsianis, Nikos P.; Sun, Xiaobai
2016
Particle methods for viscous flows: analogies and differences between the SPH and DVH methods. Zbl 1373.76233
Colagrossi, Andrea; Rossi, Emanuele; Marrone, Salvatore; Le Touzé, David
2016
High order fixed-point sweeping WENO methods for steady state of hyperbolic conservation laws and its convergence study. Zbl 1388.65068
Wu, Liang; Zhang, Yong-Tao; Zhang, Shuhai; Shu, Chi-Wang
2016
DASHMM: dynamic adaptive system for hierarchical multipole methods. Zbl 1373.70002
Debuhr, J.; Zhang, B.; Tsueda, A.; Tilstra-Smith, V.; Sterling, T.
2016
A fast solver for an H1 regularized PDE-constrained optimization problem. Zbl 1373.49028
Barker, Andrew T.; Rees, Tyrone; Stoll, Martin
2016
Practical techniques in ghost fluid method for compressible multi-medium flows. Zbl 1373.76223
Xu, Liang; Feng, Chengliang; Liu, Tiegang
2016
A comparison of higher-order weak numerical schemes for stopped stochastic differential equations. Zbl 1388.65013
Bernal, Francisco; Acebrón, Juan A.
2016
Scale transitions in magnetisation dynamics. Zbl 1373.78033
Poluektov, Mikhail; Eriksson, Olle; Kreiss, Gunilla
2016
An adaptive grid method for singularly perturbed time-dependent convection-diffusion problems. Zbl 1388.65049
Chen, Yanping; Liu, Li-Bin
2016
A new coupled complex boundary method for bioluminescence tomography. Zbl 1373.74095
Gong, Rongfang; Cheng, Xiaoliang; Han, Weimin
2016
Simulating biofilm deformation and detachment with the immersed boundary method. Zbl 1373.76014
Sudarsan, Rangarajan; Ghosh, Sudeshna; Stockie, John M.; Eberl, Hermann J.
2016
A two-stage image segmentation model for multi-channel images. Zbl 1373.94246
Li, Zhi; Zeng, Tieyong
2016
Single component multiphase lattice Boltzmann method for Taylor/Bretherton bubble train flow simulations. Zbl 1373.76318
Dzikowski, Michał; Łaniewski-Wołłk, Łukasz; Rokicki, Jacek
2016
Pseudo-arclength continuation algorithms for binary Rydberg-dressed Bose-Einstein condensates. Zbl 1388.65039
Sriburadet, Sirilak; Wang, Y.-S.; Chien, C.-S.; Shih, Y.
2016
Direct calculation of permeability by high-accurate finite difference and numerical integration methods. Zbl 1373.76198
Wang, Yi; Sun, Shuyu
2016
Fast solution of three-dimensional modified Helmholtz equations by the method of fundamental solutions. Zbl 1388.65180
Lin, Ji; Chen, C. S.; Liu, Chein-Shan
2016
Reinitialization of the level-set function in 3d simulation of moving contact lines. Zbl 1373.76201
Xu, Shixin; Ren, Weiqing
2016
An element decomposition method for the Helmholtz equation. Zbl 1388.65159
Wang, Gang; Cui, Xiangyang; Li, Guangyao
2016
A discrete-ordinate discontinuous-streamline diffusion method for the radiative transfer equation. Zbl 1388.65158
Wang, Cheng; Sheng, Qiwei; Han, Weimin
2016
Towards translational invariance of total energy with finite element methods for Kohn-Sham equation. Zbl 1388.65141
Bao, Gang; Hu, Guanghui; Liu, Di
2016
Relaxation schemes for the $$M_1$$ model with space-dependent flux: application to radiotherapy dose calculation. Zbl 1388.65089
Pichard, Teddy; Aregba-Driollet, Denise; Brull, Stéphane; Dubroca, Bruno; Frank, Martin
2016
Patch-recovery filters for curvature in discontinuous Galerkin-based level-set methods. Zbl 1388.65102
Kummer, Florian; Warburton, Tim
2016
Development of a combined compact difference scheme to simulate soliton collision in a shallow water equation. Zbl 1373.76204
Yu, Ching-Hao; Sheu, Tony Wen-Hann
2016
A semi-Lagrangian approach for dilute non-collisional fluid-particle flows. Zbl 1388.65074
Bernard-Champmartin, Aude; Braeunig, Jean-Philippe; Fochesato, Christophe; Goudon, Thierry
2016
On invariant-preserving finite difference schemes for the Camassa-Holm equation and the two-component Camassa-Holm system. Zbl 1388.65059
Liu, Hailiang; Pendleton, Terrance
2016
A dimensional splitting of ETD schemes for reaction-diffusion systems. Zbl 1388.65045
Asante-Asamani, E. O.; Wade, Bruce A.
2016
Analysis of a two-level algorithm for HDG methods for diffusion problems. Zbl 1388.65153
Li, Binjie; Xie, Xiaoping; Zhang, Shiquan
2016
Do current lattice Boltzmann methods for diffusion and advection-diffusion equations respect maximum principle and the non-negative constraint? Zbl 1373.76250
Karimi, S.; Nakshatrala, K. B.
2016
Extended hydrodynamic models and multigrid solver of a silicon diode simulation. Zbl 1373.82009
Hu, Zhicheng; Li, Ruo; Qiao, Zhonghua
2016
Application of the LS-STAG immersed boundary/cut-cell method to viscoelastic flow computations. Zbl 1373.76118
Botella, Olivier; Cheny, Yoann; Nikfarjam, Farhad; Stoica, Marcela
2016
Hybrid and multiplicative overlapping Schwarz algorithms with standard coarse spaces for mixed linear elasticity and Stokes problems. Zbl 1373.74104
Cai, Mingchao; Pavarino, Luca F.
2016
Quadrature weights on tensor-product nodes for accurate integration of hypersingular functions over some simple 3-D geometric shapes. Zbl 1388.65026
Zinser, Brian; Cai, Wei; Chen, Duan
2016
A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083
Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding
2016
ADI-FDTD method for two-dimensional transient electromagnetic problems. Zbl 1373.78437
Li, Wanshan; Zhang, Yile; Wong, Yau Shu; Liang, Dong
2016
A front tracking method for the simulation of compressible multimedium flows. Zbl 1373.76180
Lu, Haitian; Zhao, Ning; Wang, Donghong
2016
Monotone finite difference schemes for anisotropic diffusion problems via nonnegative directional splittings. Zbl 1388.65137
Ngo, Cuong; Huang, Weizhang
2016
Stability of soft quasicrystals in a coupled-mode Swift-Hohenberg model for three-component systems. Zbl 1373.82094
Jiang, Kai; Tong, Jiajun; Zhang, Pingwen
2016
Efficient implementation of smoothed particle hydrodynamics (SPH) with plane sweep algorithm. Zbl 1373.76270
Wang, Dong; Zhou, Yisong; Shao, Sihong
2016
Investigating the selectivity of KcsA channel by an image charge solvation method (ICSM) in molecular dynamics simulations. Zbl 1373.94035
Baker, Katherine; Chen, Duan; Cai, Wei
2016
A numerical study of complex reconstruction in inverse elastic scattering. Zbl 1373.74055
Hu, Guanghui; Li, Jingzhi; Liu, Hongyu; Wang, Qi
2016
A novel technique for constructing difference schemes for systems of singularly perturbed equations. Zbl 1388.65133
Hsieh, Po-Wen; Shih, Yin-Tzer; Yang, Suh-Yuh; You, Cheng-Shu
2016
A full space-time convergence order analysis of operator splittings for linear dissipative evolution equations. Zbl 1388.65099
Hansen, Eskil; Henningsson, Erik
2016
Near-field imaging point-like scatterers and extended elastic solid in a fluid. Zbl 1373.74057
Yin, Tao; Hu, Guanghui; Xu, Liwei
2016
Novel symplectic discrete singular convolution method for Hamiltonian PDEs. Zbl 1388.65181
Cai, Wenjun; Zhang, Huai; Wang, Yushun
2016
Construction and analysis of an adapted spectral finite element method to convective acoustic equations. Zbl 1373.76209
Hüppe, Andreas; Cohen, Gary; Imperiale, Sébastien; Kaltenbacher, Manfred
2016
A time-space adaptive method for the Schrödinger equation. Zbl 1388.65101
Kormann, Katharina
2016
A robust immersed boundary-lattice Boltzmann method for simulation of fluid-structure interaction problems. Zbl 1373.76277
Wu, Jie; Wu, Jing; Zhan, Jiapu; Zhao, Ning; Wang, Tongguang
2016
The kinematic effects of the defects in liquid crystal dynamics. Zbl 1373.76011
Chen, Rui; Bao, Weizhu; Zhang, Hui
2016
Efficient semi-Lagrangian Vlasov-Maxwell simulations of high order harmonic generation from relativistic laser-plasma interactions. Zbl 1373.82010
Lehmann, Götz
2016
Towards a unified macroscopic description of exciton diffusion in organic semiconductors. Zbl 1373.82100
Chen, Jingrun; Lin, Jason D. A.; Nguyen, Thuc-Quyen
2016
Estimation of impacts of removing arbitrarily constrained domain details to the analysis of incompressible fluid flows. Zbl 1373.76036
Zhang, Kai; Li, Ming; Li, Jingzhi
2016
Numerical analysis of inverse elasticity problem with Signorini’s condition. Zbl 1373.74092
Zheng, Cong; Cheng, Xiaoliang; Liang, Kewei
2016
Godunov-type numerical methods for a model of granular flow on open tables with walls. Zbl 1373.76115
Adimurthi; Aggarwal, Aekta; Gowda, G. D. Veerappa
2016
Mechanics-based solution verification for porous media models. Zbl 1373.76315
Shabouei, M.; Nakshatrala, K. B.
2016
On the dynamics of the weak Fréedericksz transition for nematic liquid crystals. Zbl 1373.76010
Aursand, Peder; Napoli, Gaetano; Ridder, Johanna
2016
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077
Carrillo, José A.; Chertock, Alina; Huang, Yanghong
2015
Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127
Narayan, Akil; Zhou, Tao
2015
...and 690 more Documents
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#### Cited by 7,189 Authors

 65 Shu, Chi-Wang 60 Dumbser, Michael 37 Xu, Kun 36 Huang, Yunqing 35 Kurganov, Alexander 33 Carrillo de la Plata, José Antonio 32 Qiu, Jianxian 32 Yang, Xiaofeng 30 Chung, Tsz Shun Eric 29 Liu, Hailiang 27 Shen, Jie 26 Tang, Huazhong 25 Loubère, Raphaël 25 Xu, Yan 23 Antoine, Xavier 22 Li, Ruo 22 Sun, Shuyu 22 Zhu, Jun 21 Gassner, Gregor J. 21 Tang, Tao 21 Toro, Eleuterio F. 21 Yuan, Guangwei 20 Boscheri, Walter 20 Chertock, Alina E. 20 Dehghan Takht Fooladi, Mehdi 20 Liu, Tiegang 20 Qiu, Jingmei 19 Balsara, Dinshaw S. 19 He, Xiaoming 19 Wang, Cheng 19 Xing, Yulong 19 Xiu, Dongbin 19 Zhang, Jiwei 18 Efendiev, Yalchin R. 18 Kim, Junseok 18 Li, Jichun 18 Nordström, Jan 18 Titarev, Vladimir A. 18 Wang, Qi 17 Hu, Guanghui 17 Huang, Weizhang 17 Jin, Shi 17 Luo, Hong 17 Winters, Andrew R. 17 Zhao, Jia 17 Zhou, Tao 16 Chen, Yanping 16 Hong, Jialin 16 Karniadakis, George Em 16 Lai, Mingchih 15 Abgrall, Rémi 15 Fox, Rodney O. 15 Guo, Zhaoli 15 Li, Zhilin 15 Lowengrub, John Samuel 15 Wang, Hong 15 Wise, Steven M. 14 Cai, Wei 14 Cai, Zhenning 14 Kou, Jisheng 14 Kreiss, Gunilla 14 Li, Qin 14 Liang, Dong 14 Lorin, Emmanuel 14 Miranville, Alain M. 14 Sjogreen, Bjorn 14 Titi, Edriss Saleh 14 Wang, Lilian 13 Degond, Pierre 13 Du, Qiang 13 Guo, Wei 13 Khoo, Boo Cheong 13 Narayan, Akil C. 13 Torrilhon, Manuel 13 Vasilyeva, Maria V. 13 Wang, Yushun 13 Yao, Jun 13 Zheng, Chunxiong 12 Castro, Manuel J. 12 Chen, Ke 12 Hesthaven, Jan S. 12 Mattsson, Ken 12 Morgan, Nathaniel R. 12 Qiao, Zhonghua 12 Wang, Liqun 12 Xia, Yinhua 12 Yi, Nianyu 12 Zabaras, Nicholas J. 12 Zhang, Pingwen 11 Banks, Jeffrey W. 11 Boyd, John Philip 11 Cheng, Jian 11 Dimarco, Giacomo 11 Gong, Yuezheng 11 Iollo, Angelo 11 Jiang, Song 11 Leung, Wingtat 11 Lin, Tao 11 Lu, Benzhuo 11 Montecinos, Gino I. ...and 7,089 more Authors
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#### Cited in 315 Journals

 1,238 Journal of Computational Physics 398 Journal of Scientific Computing 356 Computers and Fluids 222 Journal of Computational and Applied Mathematics 199 Computer Methods in Applied Mechanics and Engineering 184 Computers & Mathematics with Applications 165 SIAM Journal on Scientific Computing 144 Applied Numerical Mathematics 126 Applied Mathematics and Computation 70 Journal of Fluid Mechanics 68 SIAM Journal on Numerical Analysis 55 Numerische Mathematik 51 International Journal for Numerical Methods in Engineering 51 Multiscale Modeling & Simulation 50 Engineering Analysis with Boundary Elements 45 Mathematics of Computation 44 Numerical Methods for Partial Differential Equations 44 Advances in Computational Mathematics 43 Numerical Algorithms 40 Mathematics and Computers in Simulation 40 Applied Mathematical Modelling 38 Computational Geosciences 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 Computational Mechanics 33 BIT 30 East Asian Journal on Applied Mathematics 27 SIAM/ASA Journal on Uncertainty Quantification 26 International Journal for Numerical Methods in Fluids 26 Mathematical Methods in the Applied Sciences 25 Discrete and Continuous Dynamical Systems. Series B 24 Computer Physics Communications 20 Journal of Statistical Physics 20 Mathematical Problems in Engineering 20 Communications in Nonlinear Science and Numerical Simulation 19 International Journal of Computational Methods 18 International Journal of Computer Mathematics 18 SIAM Journal on Applied Mathematics 18 Computational and Applied Mathematics 18 European Journal of Mechanics. B. Fluids 18 Kinetic and Related Models 17 Archive for Rational Mechanics and Analysis 17 Journal of Mathematical Analysis and Applications 17 Wave Motion 17 Advances in Difference Equations 17 Acta Mechanica Sinica 17 Science China. Mathematics 16 Inverse Problems 15 Applied Mathematics Letters 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Journal of Differential Equations 13 Physica D 13 Computational Mathematics and Mathematical Physics 13 Computational Methods in Applied Mathematics 13 Inverse Problems and Imaging 12 Bulletin of Mathematical Biology 12 SIAM Journal on Mathematical Analysis 12 Archives of Computational Methods in Engineering 12 SIAM Journal on Applied Dynamical Systems 11 Matematicheskoe Modelirovanie 11 AMM. Applied Mathematics and Mechanics. (English Edition) 10 Foundations of Computational Mathematics 10 Inverse Problems in Science and Engineering 10 Frontiers of Mathematics in China 9 Journal of Engineering Mathematics 9 Journal of Mathematical Biology 9 Journal of Mathematical Physics 9 Journal of Nonlinear Science 9 Discrete and Continuous Dynamical Systems. Series S 9 SMAI Journal of Computational Mathematics 8 Fluid Dynamics 8 Mathematical Biosciences 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Molecular Based Mathematical Biology 8 Research in the Mathematical Sciences 8 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 8 Electronic Research Archive 8 Results in Applied Mathematics 7 Physica A 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 7 Abstract and Applied Analysis 7 Networks and Heterogeneous Media 7 SIAM Journal on Imaging Sciences 6 Nonlinearity 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 SIAM Review 6 Calculus of Variations and Partial Differential Equations 6 Fractional Calculus & Applied Analysis 6 Acta Numerica 6 International Journal of Applied and Computational Mathematics 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Communications on Applied Mathematics and Computation 5 Calcolo 5 Acta Applicandae Mathematicae 5 Japan Journal of Industrial and Applied Mathematics 5 Journal of Mathematical Imaging and Vision 5 Continuum Mechanics and Thermodynamics 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 Complexity 5 Discrete and Continuous Dynamical Systems 5 Journal of Mathematical Chemistry ...and 215 more Journals
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#### Cited in 54 Fields

 3,564 Numerical analysis (65-XX) 2,285 Fluid mechanics (76-XX) 2,044 Partial differential equations (35-XX) 488 Mechanics of deformable solids (74-XX) 348 Statistical mechanics, structure of matter (82-XX) 266 Biology and other natural sciences (92-XX) 253 Optics, electromagnetic theory (78-XX) 201 Probability theory and stochastic processes (60-XX) 117 Classical thermodynamics, heat transfer (80-XX) 113 Ordinary differential equations (34-XX) 110 Geophysics (86-XX) 102 Statistics (62-XX) 101 Calculus of variations and optimal control; optimization (49-XX) 96 Dynamical systems and ergodic theory (37-XX) 82 Approximations and expansions (41-XX) 82 Quantum theory (81-XX) 69 Computer science (68-XX) 68 Integral equations (45-XX) 56 Information and communication theory, circuits (94-XX) 47 Real functions (26-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Operations research, mathematical programming (90-XX) 36 Systems theory; control (93-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 30 Special functions (33-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 22 Operator theory (47-XX) 21 Astronomy and astrophysics (85-XX) 19 Mechanics of particles and systems (70-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Functional analysis (46-XX) 11 Integral transforms, operational calculus (44-XX) 11 Relativity and gravitational theory (83-XX) 10 Potential theory (31-XX) 6 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 5 Difference and functional equations (39-XX) 5 Differential geometry (53-XX) 4 Functions of a complex variable (30-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) 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 Algebraic topology (55-XX) 1 Mathematics education (97-XX)