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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.html
http://www.global-sci.com/issue/contents/index.html
https://www.cambridge.org/core/journals/communications-in-computational-physics/all-issues
Documents Indexed: 1,710 Publications (since 2006)
References Indexed: 671 Publications with 28,095 References.
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...and 55 more Volumes
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Authors

22 Shu, Chi-Wang
17 Xu, Kun
16 Zhang, Pingwen
15 Cai, Wei
15 Li, Ruo
15 Yuan, Guangwei
14 Liu, Tiegang
14 Qiu, Jianxian
12 Sjogreen, Bjorn
12 Succi, Sauro
12 Xu, Yan
11 Hu, Guanghui
11 Huang, Yunqing
11 Khoo, Boo Cheong
11 Sheu, Tony Wen-Hann
11 Tang, Tao
10 Guo, Zhaoli
10 Zhang, Zhimin
9 Bao, Weizhu
9 Du, Qiang
9 E, Weinan
9 Huang, Huaxiong
9 Shen, Jie
9 Toro, Eleuterio F.
9 Xiu, Dongbin
9 Zhang, Jiwei
8 Chung, Tsz Shun Eric
8 Efendiev, Yalchin R.
8 Hesthaven, Jan S.
8 Karniadakis, George Em
8 Liang, Dong
8 Liu, Hailiang
8 Mishra, Siddhartha
8 Shi, Baochang
8 Xu, Zhenli
8 Zheng, Chunxiong
7 Brull, Stephane
7 Chen, Shiyi
7 Chen, Wenbin
7 Cherubini, Christian
7 Cui, Junzhi
7 Dumbser, Michael
7 Filippi, Simonetta
7 Han, Houde
7 Hong, Jialin
7 Ju, Lili
7 Li, Peijun
7 Sheng, Zhiqiang
7 Sun, Pengtao
7 Tang, Huazhong
7 Tian, Baolin
7 Wang, Cheng
7 Xia, Yinhua
7 Xiao, Heng
7 Xu, Chuanju
7 Ying, Wenjun
7 Zhou, Tao
7 Zhu, Jun
6 Antoine, Xavier
6 Bao, Gang
6 Cao, Yanzhao
6 Chai, Zhenhua
6 Chen, Ching-Shyang
6 Cheng, Jian
6 Deng, Xiaogang
6 Diaz, Julien
6 Dutykh, Denys
6 Huang, Jingfang
6 Jiang, Song
6 Jin, Shi
6 Khakimzyanov, Gayaz Salimovich
6 Kurganov, Alexander
6 Li, Jingzhi
6 Li, Zhihui
6 Li, Zhilin
6 Lin, Guang
6 Ming, Pingbing
6 Petersson, N. Anders
6 Russo, Giovanni
6 Shu, Shi
6 Tan, Zhijun
6 Wang, Desheng
6 Wang, Yushun
6 Xing, Yulong
6 Yang, Jerry Zhijian
6 Yang, Xiaofeng
6 Zhang, Bo
5 Abgrall, Rémi
5 Azaïez, Mejdi
5 Cheng, Juan
5 Cheng, Xiaoliang
5 Chertock, Alina E.
5 Dubroca, Bruno
5 Gao, Zhen
5 Gunzburger, Max D.
5 Guo, Ruihan
5 Leung, Shingyu
5 Li, Jiequan
5 Li, Xiantao
5 Lin, Ping
...and 3,033 more Authors
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Fields

1,103 Numerical analysis (65-XX)
756 Fluid mechanics (76-XX)
468 Partial differential equations (35-XX)
177 Mechanics of deformable solids (74-XX)
151 Statistical mechanics, structure of matter (82-XX)
127 Optics, electromagnetic theory (78-XX)
89 Biology and other natural sciences (92-XX)
82 Computer science (68-XX)
77 Geophysics (86-XX)
65 Quantum theory (81-XX)
49 Probability theory and stochastic processes (60-XX)
45 Classical thermodynamics, heat transfer (80-XX)
35 Statistics (62-XX)
30 Dynamical systems and ergodic theory (37-XX)
27 Information and communication theory, circuits (94-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
22 Integral equations (45-XX)
17 Ordinary differential equations (34-XX)
15 Approximations and expansions (41-XX)
13 General and overarching topics; collections (00-XX)
13 Operations research, mathematical programming (90-XX)
12 Mechanics of particles and systems (70-XX)
11 Systems theory; control (93-XX)
10 Relativity and gravitational theory (83-XX)
10 Astronomy and astrophysics (85-XX)
9 Operator theory (47-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Special functions (33-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Convex and discrete geometry (52-XX)
4 History and biography (01-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Combinatorics (05-XX)
3 Real functions (26-XX)
3 Mathematics education (97-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

Publications by Year

Citations contained in zbMATH Open

1,113 Publications have been cited 9,042 times in 6,841 Documents Cited by Year
Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation. Zbl 1364.35424
Li, Xianjuan; Xu, Chuanju
175
2010
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
164
2007
Phase-field models for multi-component fluid flows. Zbl 1373.76030
Kim, Junseok
141
2012
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
118
2010
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin
114
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
112
2008
Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302
Xiu, Dongbin
103
2007
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077
Carrillo, José A.; Chertock, Alina; Huang, Yanghong
87
2015
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121
Chandrashekar, Praveen
86
2013
Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001
Hou, Gene; Wang, Jin; Layton, Anita
83
2012
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang
76
2009
All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129
Degond, Pierre; Tang, Min
75
2011
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
75
2009
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
73
2009
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
71
2011
The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200
Liu, Hailiang; Yan, Jue
69
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
65
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.
61
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
60
2012
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
58
2008
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien
56
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
56
2007
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 1488.65247
Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin
51
2017
An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072
Zhang, Zhengru; Qiao, Zhonghua
50
2012
A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137
Loubère, Raphaël; Dumbser, Michael; Diot, Steven
49
2014
Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381
Liska, Richard; Shashkov, Mikhail
48
2008
An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161
Collins, Craig; Shen, Jie; Wise, Steven M.
47
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
46
2012
On the order of accuracy and numerical performance of two classes of finite volume WENO schemes. Zbl 1364.65176
Zhang, Rui; Zhang, Mengping; Shu, Chi-Wang
44
2011
Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049
van Leer, B.
43
2006
WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121
Titarev, V. A.; Tsoutsanis, P.; Drikakis, D.
43
2010
Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124
Huang, Weizhang
42
2006
Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109
Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria
42
2011
Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117
Chen, Feng; Shen, Jie
40
2013
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael
40
2013
Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
40
2009
Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation. Zbl 1373.76026
Dijkstra, Henk A.; Wubs, Fred W.; Cliffe, Andrew K.; Doedel, Eusebius; Dragomirescu, Ioana F.; Eckhardt, Bruno; Gelfgat, Alexander Yu.; Hazel, Andrew L.; Lucarini, Valerio; Salinger, Andy G.; Phipps, Erik T.; Sanchez-Umbria, Juan; Schuttelaars, Henk; Tuckerman, Laurette S.; Thiele, Uwe
39
2014
Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138
Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel
39
2011
Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146
Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael
38
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
36
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.
35
2016
A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
34
2014
Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127
Narayan, Akil; Zhou, Tao
34
2015
Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066
Qiu, Jing-Mei; Shu, Chi-Wang
34
2011
Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084
Titarev, V. A.
32
2012
On the volume conservation of the immersed boundary method. Zbl 1373.74098
Griffith, Boyce E.
32
2012
Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085
Dolejsi, Vit
32
2008
Fourth order exponential time differencing method with local discontinuous Galerkin approximation for coupled nonlinear Schrödinger equations. Zbl 1388.65086
Liang, Xiao; Khaliq, A. Q. M.; Xing, Yulong
31
2015
A compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018
Mathelin, L.; Gallivan, K. A.
31
2012
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
31
2011
IMEX large time step finite volume methods for low Froude number shallow water flows. Zbl 1373.76117
Bispen, Georgij; Arun, K. R.; Lukáčová-Medvid’ová, Mária; Noelle, Sebastian
30
2014
A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108
Zhai, Qilong; Zhang, Ran; Mu, Lin
30
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
30
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.
30
2008
A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Zbl 1364.76111
Cheng, Juan; Shu, Chi-Wang
30
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.
30
2009
Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317
Shen, Jie; Yang, Xiaofeng; Wang, Qi
29
2013
A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
29
2013
Exponentially-convergent strategies for defeating the Runge phenomenon for the approximation of non-periodic functions. I: Single-interval schemes. Zbl 1364.65025
Boyd, John P.; Ong, Jun Rong
29
2009
Simulations of compressible two-medium flow by Runge-Kutta discontinuous Galerkin methods with the ghost fluid method. Zbl 1195.76262
Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong
28
2008
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S.
28
2006
Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057
Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi
28
2015
Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140
Puppo, Gabriella; Semplice, Matteo
28
2011
Truncation errors, exact and heuristic stability analysis of two-relaxation-times lattice Boltzmann schemes for anisotropic advection-diffusion equation. Zbl 1373.76241
Ginzburg, Irina
28
2012
Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034
Britt, Steven; Tsynkov, Semyon; Turkel, Eli
28
2011
A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. Zbl 1488.65367
Yan, Yue; Chen, Wenbin; Wang, Cheng; Wise, Steven M.
26
2018
Analysis of \(L1\)-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 1488.65431
Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei
26
2018
Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079
Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping
26
2006
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
26
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
26
2011
Efficient implicit non-linear LU-SGS approach for compressible flow computation using high-order spectral difference method. Zbl 1364.76139
Sun, Yuzhi; Wang, Z. J.; Liu, Yen
26
2009
Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300
Runborg, Olof
25
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.
25
2012
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
25
2012
Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193
Wu, J.; Shu, C.
25
2010
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
24
2007
Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter. Zbl 1373.76113
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
24
2016
A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016
Appelo, Daniel; Petersson, N. Anders
24
2009
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
24
2010
Numerical simulation of moving contact lines with surfactant by immersed boundary method. Zbl 1364.76125
Lai, Ming-Chih; Tseng, Yu-Hau; Huang, Huaxiong
24
2010
Extended physics-informed neural networks (XPINNs): a generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations. Zbl 07419158
Jagtap, Ameya D.; Karniadakis, George Em
24
2020
A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems. Zbl 1373.76080
Chung, Eric T.; Leung, Wing Tat
23
2013
PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169
Malhotra, Dhairya; Biros, George
23
2015
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
23
2017
Velocity-based moving mesh methods for nonlinear partial differential equations. Zbl 1388.65094
Baines, M. J.; Hubbard, M. E.; Jimack, P. K.
23
2011
A reconstructed discontinuous Galerkin method for the Euler equations on arbitrary grids. Zbl 1388.65124
Luo, Hong; Luo, Luqing; Nourgaliev, Robert
23
2012
Recent developments in numerical techniques for transport-based medical imaging methods. Zbl 1364.94100
Ren, Kui
23
2010
An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. Zbl 07418059
Cheng, Kelong; Wang, Cheng; Wise, Steven M.
23
2019
An efficient spectral method for acoustic scattering from rough surfaces. Zbl 1164.65303
Xiu, Dongbin; Shen, Jie
22
2007
Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422
Liu, Chun; Shen, Jie; Yang, Xiaofeng
22
2007
Spectral-element and adjoint methods in seismology. Zbl 1183.74320
Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya
22
2008
On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126
Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo
22
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
22
2013
Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Zbl 1364.76225
Popov, Peter; Efendiev, Yalchin; Qin, Guan
22
2009
On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs. Zbl 1473.65349
Shin, Yeonjong; Darbon, Jérôme; Karniadakis, George Em
22
2020
Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun
21
2014
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha
21
2016
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089
Elliott, Charles M.; Stinner, Björn
21
2013
Phase-field models for biofilms. II: 2-D numerical simulations of biofilm-flow interaction. Zbl 1365.92024
Zhang, Tianyu; Cogan, Nick; Wang, Qi
21
2008
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. Zbl 07419121
Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru
21
2020
A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157
Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
2
2022
An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. Zbl 1482.65226
Huang, Jianguo; Wang, Haoqin; Zhou, Tao
2
2022
A consensus-based global optimization method with adaptive momentum estimation. Zbl 07529229
Chen, Jingrun; Jin, Shi; Lyu, Liyao
2
2022
Approximating the Gaussian as a sum of exponentials and its applications to the fast Gauss transform. Zbl 1486.30107
Jiang, Shidong; Greengard, Leslie
1
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
1
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
1
2022
Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011
Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio
1
2022
A new mapped WENO scheme using order-preserving mapping. Zbl 1482.65147
Li, Ruo; Zhong, Wei
1
2022
Convergence rate analysis for deep Ritz method. Zbl 1491.65117
Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian
1
2022
VAE-KRnet and its applications to variational Bayes. Zbl 1486.62096
Wan, Xiaoliang; Wei, Shuangqing
1
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
1
2022
Deep unfitted Nitsche method for elliptic interface problems. Zbl 07529224
Guo, Hailong; Yang, Xu
1
2022
A third order BDF energy stable linear scheme for the No-slope-selection thin film model. Zbl 07419705
Hao, Yonghong; Huang, Qiumei; Wang, Cheng
15
2021
Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309
Liao, Yulei; Ming, Pingbing
14
2021
Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706
Wight, Colby L.; Zhao, Jia
10
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
9
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
6
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
3
2021
A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
3
2021
Structure-preserving numerical methods for stochastic Poisson systems. Zbl 1481.65261
Hong, Jialin; Ruan, Jialin; Sun, Liying; Wang, Lijin
3
2021
A mixed finite element scheme for quad-curl source and eigenvalue problems. Zbl 1473.65279
Chen, Huangxin; Li, Jingzhi; Qiu, Weifeng; Wang, Chao
3
2021
Continuous data assimilation with a moving cluster of data points for a reaction diffusion equation: a computational study. Zbl 07419717
Larios, Adam; Victor, Collin
3
2021
A modified adaptive improved mapped WENO method. Zbl 1482.65146
Li, Ruo; Zhong, Wei
2
2021
An adaptive threshold dynamics method for three-dimensional wetting on rough surfaces. Zbl 1473.65149
Xu, Xianmin; Ying, Wenjun
2
2021
Well-organized MZT-ME-PML approach for THz BP metasurface implementations. Zbl 1473.78015
Li, Xue-Shi; Feng, Naixing; Zhang, Yuxian
2
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
2
2021
A broad class of conservative numerical methods for dispersive wave equations. Zbl 1473.65154
Ranocha, Hendrik; Mitsotakis, Dimitrios; Ketcheson, David I.
2
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
2
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.
2
2021
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
2
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
2
2021
Ensemble gradient for learning turbulence models from indirect observations. Zbl 1491.76040
Ströfer, Carlos A. Michelén; Zhang, Xin-Lei; Xiao, Heng
1
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
1
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.
1
2021
Full discretization scheme for the dynamics of elliptic membrane shell model. Zbl 1473.65315
Shen, Xiaoqin; Yang, Qian; Bai, Lin; Li, Kaitai
1
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
Sajjadi, Hasan; Delouei, Amin Amiri; Mohebbi, Rasul; Izadi, Mohsen; Succi, Sauro
1
2021
A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation. Zbl 1474.65465
Leng, Wei; Ju, Lili
1
2021
The immersed interface method for non-smooth rigid objects in incompressible viscous flows. Zbl 1480.76084
Liu, Yang; Xu, Sheng
1
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
1
2021
Algebraic multigrid block preconditioning for multi-group radiation diffusion equations. Zbl 1473.65031
Yue, Xiaoqiang; Zhang, Shulei; Xu, Xiaowen; Shu, Shi; Shi, Weidong
1
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
1
2021
A fast time splitting finite difference approach to Gross-Pitaevskii equations. Zbl 1473.65096
Caliari, Marco; Zuccher, Simone
1
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.
1
2021
Fast one-dimensional convolution with general kernels using sum-of-exponential approximation. Zbl 07419727
Zhang, Yong; Zhuang, Chijie; Jiang, Shidong
1
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
1
2021
On false accuracy verification of UMUSCL scheme. Zbl 1473.65118
Nishikawa, Hiroaki
1
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
1
2021
Enforcing imprecise constraints on generative adversarial networks for emulating physical systems. Zbl 1490.76120
Zeng, Yang; Wu, Jin-Long; Xiao, Heng
1
2021
High order discretely well-balanced methods for arbitrary hydrostatic atmospheres. Zbl 1490.76141
Berberich, Jonas P.; Käppeli, Roger; Chandrashekar, Praveen; Klingenberg, Christian
1
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
1
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
1
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
1
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
1
2021
A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. Zbl 1473.65227
Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian
1
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
1
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
1
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
24
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
22
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
21
2020
A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046
Yu, Jian; Hesthaven, Jan S.
10
2020
An adaptive surrogate modeling based on deep neural networks for large-scale Bayesian inverse problems. Zbl 1482.65206
Yan, Liang; Zhou, Tao
10
2020
A novel full-Euler low Mach number IMEX splitting. Zbl 07418366
Zeifang, Jonas; Schütz, Jochen; Kaiser, Klaus; Beck, Andrea; Lukáčová-Medvid’ová, Maria; Noelle, Sebastian
8
2020
Finite neuron method and convergence analysis. Zbl 1473.65350
Xu, Jinchao
8
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
7
2020
Deep network approximation characterized by number of neurons. Zbl 07419151
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
7
2020
Machine learning and computational mathematics. Zbl 1473.00035
E, Weinan
6
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
5
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
5
2020
Dying ReLU and initialization: theory and numerical examples. Zbl 07419148
Lu, Lu; Shin, Yeonjong; Su, Yanhui; Karniadakis, George Em
5
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
5
2020
Entropies and symmetrization of hyperbolic stochastic Galerkin formulations. Zbl 07418512
Gerster, Stephan; Herty, Michael
4
2020
Performance enhancement for high-order gas-kinetic scheme based on WENO-adaptive-order reconstruction. Zbl 1480.76079
Ji, Xing; Xu, Kun
4
2020
An all speed second order IMEX relaxation scheme for the Euler equations. Zbl 1480.76083
Thomann, Andrea; Zenk, Markus; Puppo, Gabriella; Klingenberg, Christian
4
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
4
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
4
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
3
2020
An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation. Zbl 1473.65223
Zhang, Min; Cheng, Juan; Huang, Weizhang; Qiu, Jianxian
3
2020
A decoupled and positivity-preserving DDFVS scheme for diffusion problems on polyhedral meshes. Zbl 1473.65136
Dong, Qiannan; Su, Shuai; Wu, Jiming
3
2020
Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. Zbl 1473.65263
Liu, Hailiang; Maimaitiyiming, Wumaier
3
2020
\(H^2\)-conforming methods and two-grid discretizations for the elastic transmission eigenvalue problem. Zbl 1473.65283
Yang, Yidu; Han, Jiayu; Bi, Hai
3
2020
A kernel-independent treecode based on barycentric Lagrange interpolation. Zbl 1473.65025
Wang, Lei; Krasny, Robert; Tlupova, Svetlana
3
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
3
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
3
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.
2
2020
Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method. Zbl 1473.76042
Reis, Timothy
2
2020
Long wave interaction with a partially immersed body. I: Mathematical models. Zbl 1490.76039
Khakimzyanov, Gayaz; Dutykh, Denys
2
2020
Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. Zbl 1473.65353
Wang, Jialing; Wang, Yushun; Liang, Dong
2
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
2
2020
Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327
Chen, C. S.; Karageorghis, Andreas; Zheng, Hui
2
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
2
2020
A lowest-order mixed finite element method for the elastic transmission eigenvalue problem. Zbl 1473.65282
Xi, Yingxia; Ji, Xia
2
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
2
2020
Local discrete velocity grids for multi-species rarefied flow simulations. Zbl 1476.76058
Brull, Stéphane; Prigent, Corentin
2
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
2
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
2
2020
Random batch algorithms for quantum Monte Carlo simulations. Zbl 1473.65008
Jin, Shi; Li, Xiantao
2
2020
Multi-scale deep neural network (MscaleDNN) methods for oscillatory Stokes flows in complex domains. Zbl 1473.35541
Wang, Bo; Zhang, Wenzhong; Cai, Wei
2
2020
Learning to discretize: solving 1D scalar conservation laws via deep reinforcement learning. Zbl 1473.65124
Wang, Yufei; Shen, Ziju; Long, Zichao; Dong, Bin
2
2020
An implicit scheme for moving walls and multi-material interfaces in weakly compressible materials. Zbl 1474.65306
Abbate, Emanuela; Iollo, Angelo; Puppo, Gabriella
1
2020
The Riemann problem for a blood flow model in arteries. Zbl 1476.35139
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi
1
2020
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Cited by 9,127 Authors

77 Shu, Chi-Wang
69 Dumbser, Michael
53 Xu, Kun
48 Chung, Tsz Shun Eric
47 Huang, Yunqing
46 Kurganov, Alexander
46 Qiu, Jianxian
45 Yang, Xiaofeng
38 Carrillo de la Plata, José Antonio
36 Tang, Huazhong
34 Liu, Tiegang
34 Zhu, Jun
33 Kim, Junseok
33 Liu, Hailiang
32 Wang, Cheng
31 Xu, Yan
31 Yuan, Guangwei
30 Antoine, Xavier
30 Boscheri, Walter
30 Li, Ruo
30 Shen, Jie
29 Zhang, Jiwei
28 Efendiev, Yalchin R.
28 Loubère, Raphaël
28 Xing, Yulong
27 Chen, Yanping
26 Gassner, Gregor J.
25 Chertock, Alina E.
25 Hu, Guanghui
24 Dehghan Takht Fooladi, Mehdi
24 He, Xiaoming
24 Karniadakis, George Em
24 Russo, Giovanni
24 Sun, Shuyu
23 Li, Jichun
23 Qiu, Jingmei
22 Huang, Weizhang
22 Tang, Tao
22 Toro, Eleuterio F.
22 Wise, Steven M.
22 Zhao, Jia
21 Luo, Hong
21 Sun, Haiwei
21 Wang, Hong
21 Zhou, Tao
20 Balsara, Dinshaw S.
20 Nordström, Jan
20 Xia, Yinhua
20 Xiu, Dongbin
19 Lai, Mingchih
19 Leung, Wingtat
19 Li, Qin
19 Titarev, Vladimir A.
19 Vasilyeva, Maria V.
19 Wang, Qi
19 Winters, Andrew R.
19 Yang, Junxiang
18 Hong, Jialin
18 Jin, Shi
18 Li, Zhilin
18 Miranville, Alain M.
18 Zhai, Qilong
17 Cheng, Jian
17 Deng, Xiaogang
17 Liang, Dong
17 Liu, Chun
17 Lowengrub, John Samuel
17 Wang, Yushun
16 Abgrall, Rémi
16 Cai, Zhenning
16 Du, Qiang
16 Feng, Xinlong
16 Guo, Wei
16 Guo, Zhaoli
16 He, Yinnian
16 Hesthaven, Jan S.
16 Kou, Jisheng
16 Kreiss, Gunilla
16 Lorin, Emmanuel
16 Pareschi, Lorenzo
16 Shyy, Wei
16 Zheng, Chunxiong
15 Cai, Wei
15 Chen, Ke
15 Chen, Wenbin
15 Fox, Rodney O.
15 Gong, Yuezheng
15 Iollo, Angelo
15 Khoo, Boo Cheong
15 Li, Peijun
15 Lin, Guang
15 Narayan, Akil C.
15 Sjogreen, Bjorn
15 Wang, Lilian
15 Wang, Liqun
15 Xu, Chuanju
15 Yuan, Li
15 Zhang, Kai
15 Zhang, Ran
15 Zhang, Zhimin
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1,540 Journal of Computational Physics
487 Journal of Scientific Computing
419 Computers and Fluids
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264 Journal of Computational and Applied Mathematics
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226 Computers & Mathematics with Applications
201 SIAM Journal on Scientific Computing
167 Applied Numerical Mathematics
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92 Journal of Fluid Mechanics
76 SIAM Journal on Numerical Analysis
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70 Numerische Mathematik
61 Multiscale Modeling & Simulation
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38 BIT
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27 Communications in Nonlinear Science and Numerical Simulation
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27 SIAM/ASA Journal on Uncertainty Quantification
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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)

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