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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
Comments: Journal
Documents Indexed: 1,856 Publications (since 2006)
References Indexed: 816 Publications with 35,361 References.
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...and 70 more Volumes
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Authors

23 Shu, Chi-Wang
18 Liu, Tiegang
18 Xu, Kun
17 Cai, Wei
17 Succi, Sauro
17 Zhang, Pingwen
16 Li, Ruo
16 Yuan, Guangwei
14 Qiu, Jianxian
14 Zhang, Zhimin
13 Xu, Yan
12 Sjogreen, Bjorn
12 Tang, Tao
11 Hu, Guanghui
11 Huang, Yunqing
11 Khoo, Boo Cheong
11 Sheu, Tony Wen-Hann
11 Ying, Wenjun
10 Guo, Zhaoli
10 Huang, Huaxiong
10 Karniadakis, George Em
10 Shi, Baochang
9 Bao, Weizhu
9 Du, Qiang
9 E, Weinan
9 Hesthaven, Jan S.
9 Kurganov, Alexander
9 Shen, Jie
9 Toro, Eleuterio Francisco
9 Xiu, Dongbin
9 Zhang, Jiwei
8 Cao, Yanzhao
8 Chai, Zhenhua
8 Chen, Wenbin
8 Chung, Tsz Shun Eric
8 Cui, Junzhi
8 Efendiev, Yalchin R.
8 Filippi, Simonetta
8 Ju, Lili
8 Liang, Dong
8 Liu, Hailiang
8 Mishra, Siddhartha
8 Tang, Huazhong
8 Tian, Baolin
8 Xia, Yinhua
8 Xu, Chuanju
8 Xu, Zhenli
8 Zeng, Tie Yong
8 Zheng, Chunxiong
8 Zhu, Jun
7 Bao, Gang
7 Brull, Stephane
7 Chen, Ching-Shyang
7 Chen, Shiyi
7 Cherubini, Christian
7 Deng, Xiaogang
7 Dumbser, Michael
7 Falcucci, Giacomo
7 Han, Houde
7 Hong, Jialin
7 Jin, Shi
7 Li, Peijun
7 Liu, Jianguo
7 Ming, Pingbing
7 Nakshatrala, Kalyana B.
7 Sheng, Zhiqiang
7 Shu, Shi
7 Sun, Pengtao
7 Wang, Zhijian
7 Xiao, Heng
7 Yang, Jerry Zhijian
7 Zhou, Tao
6 Antoine, Xavier
6 Cheng, Juan
6 Diaz, Julien
6 Dutykh, Denys
6 Fu, Lin
6 Gao, Zhen
6 Gunzburger, Max D.
6 Huang, Jingfang
6 Jiang, Song
6 Khakimzyanov, Gayaz Salimovich
6 Leung, Shingyu
6 Li, Jingzhi
6 Li, Zhihui
6 Li, Zhilin
6 Lin, Guang
6 Lin, Ping
6 Lu, Benzhuo
6 Petersson, N. Anders
6 Russo, Giovanni
6 Tan, Zhijun
6 Toschi, Federico
6 Wang, Cheng
6 Wang, Desheng
6 Wang, Yushun
6 Wise, Steven M.
6 Xing, Yulong
6 Yue, Xiaoqiang
6 Zhang, Bo
...and 3,381 more Authors
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Fields

1,211 Numerical analysis (65-XX)
822 Fluid mechanics (76-XX)
528 Partial differential equations (35-XX)
195 Mechanics of deformable solids (74-XX)
161 Statistical mechanics, structure of matter (82-XX)
135 Optics, electromagnetic theory (78-XX)
105 Computer science (68-XX)
99 Biology and other natural sciences (92-XX)
81 Geophysics (86-XX)
71 Quantum theory (81-XX)
54 Classical thermodynamics, heat transfer (80-XX)
53 Probability theory and stochastic processes (60-XX)
42 Statistics (62-XX)
32 Dynamical systems and ergodic theory (37-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
27 Information and communication theory, circuits (94-XX)
24 Integral equations (45-XX)
22 Approximations and expansions (41-XX)
18 Ordinary differential equations (34-XX)
16 Operations research, mathematical programming (90-XX)
16 Systems theory; control (93-XX)
14 General and overarching topics; collections (00-XX)
14 Mechanics of particles and systems (70-XX)
11 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)
6 Real functions (26-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 History and biography (01-XX)
4 Convex and discrete geometry (52-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Combinatorics (05-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)
2 Mathematics education (97-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

1,418 Publications have been cited 14,459 times in 10,279 Documents Cited by Year
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
267
2017
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
211
2007
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
206
2010
Phase-field models for multi-component fluid flows. Zbl 1373.76030
Kim, Junseok
194
2012
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
164
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
147
2008
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin
134
2009
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121
Chandrashekar, Praveen
127
2013
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
123
2018
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.
122
2018
Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302
Xiu, Dongbin
121
2007
Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001
Hou, Gene; Wang, Jin; Layton, Anita
113
2012
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077
Carrillo, José A.; Chertock, Alina; Huang, Yanghong
111
2015
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
107
2020
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang
101
2009
All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129
Degond, Pierre; Tang, Min
93
2011
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme. Zbl 1488.65306
Yan, Yonggui; Sun, Zhi-Zhong; Zhang, Jiwei
93
2017
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
86
2009
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin
85
2009
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
84
2011
The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200
Liu, Hailiang; Yan, Jue
80
2010
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.
80
2008
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
79
2006
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien
79
2007
An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. Zbl 1518.65115
Cheng, Kelong; Wang, Cheng; Wise, Steven M.
77
2019
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
73
2020
An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284
Haack, Jeffrey; Jin, Shi; Liu, Jian-guo
71
2012
An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072
Zhang, Zhengru; Qiao, Zhonghua
68
2012
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin
66
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
65
2014
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
64
2007
Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109
Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria
61
2011
A unified gas-kinetic scheme for continuum and rarefied flows. II: Multi-dimensional cases. Zbl 1373.76216
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
61
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
59
2011
Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381
Liska, Richard; Shashkov, Mikhail
59
2008
WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121
Titarev, V. A.; Tsoutsanis, P.; Drikakis, D.
58
2010
A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem. Zbl 1473.65110
Liao, Hong-Lin; McLean, William; Zhang, Jiwei
57
2021
Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146
Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael
55
2014
An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161
Collins, Craig; Shen, Jie; Wise, Steven M.
55
2013
Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117
Chen, Feng; Shen, Jie
49
2013
Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049
van Leer, B.
48
2006
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
48
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
48
2009
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael
48
2013
Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138
Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel
46
2011
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.
45
2016
A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan
44
2014
Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124
Huang, Weizhang
43
2006
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao
43
2011
Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706
Wight, Colby L.; Zhao, Jia
42
2021
A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108
Zhai, Qilong; Zhang, Ran; Mu, Lin
41
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
41
2016
Numerical approximations for Allen-Cahn type phase field model of two-phase incompressible fluids with moving contact lines. Zbl 1488.65266
Ma, Lina; Chen, Rui; Yang, Xiaofeng; Zhang, Hui
41
2017
On the volume conservation of the immersed boundary method. Zbl 1373.74098
Griffith, Boyce E.
40
2012
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato
40
2013
Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066
Qiu, Jing-Mei; Shu, Chi-Wang
40
2011
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
40
2019
Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309
Liao, Yulei; Ming, Pingbing
40
2021
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
39
2009
Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130
Chen, Minghua; Deng, Weihua
39
2014
A third order BDF energy stable linear scheme for the no-slope-selection thin film model. Zbl 1528.65086
Hao, Yonghong; Huang, Qiumei; Wang, Cheng
39
2021
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S.
38
2006
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. Zbl 1528.65045
Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru
38
2020
A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Zbl 1364.76111
Cheng, Juan; Shu, Chi-Wang
37
2008
A compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018
Mathelin, L.; Gallivan, K. A.
37
2012
PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169
Malhotra, Dhairya; Biros, George
37
2015
A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225
He, X.-M.; Lin, T.; Lin, Y.
37
2009
Particle based gPC methods for mean-field models of swarming with uncertainty. Zbl 1473.65252
Carrillo Antonio, José; Pareschi, Lorenzo; Zanella, Mattia
37
2019
Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084
Titarev, V. A.
36
2012
Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun
36
2014
Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057
Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi
36
2015
Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085
Dolejsi, Vit
36
2008
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.
36
2008
Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127
Narayan, Akil; Zhou, Tao
35
2015
Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317
Shen, Jie; Yang, Xiaofeng; Wang, Qi
35
2013
Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140
Puppo, Gabriella; Semplice, Matteo
35
2011
Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422
Liu, Chun; Shen, Jie; Yang, Xiaofeng
34
2007
Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079
Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping
33
2006
Fourth order exponential time differencing method with local discontinuous Galerkin approximation for coupled nonlinear Schrödinger equations. Zbl 1388.65086
Liang, Xiao; Khaliq, A. Q. M.; Xing, Yulong
33
2015
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089
Elliott, Charles M.; Stinner, Björn
33
2013
A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
33
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
33
2014
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
33
2016
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
33
2017
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
33
2011
Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034
Britt, Steven; Tsynkov, Semyon; Turkel, Eli
33
2011
Deep network approximation characterized by number of neurons. Zbl 1507.68276
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
33
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
33
2020
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
32
2008
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
31
2009
Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193
Wu, J.; Shu, C.
31
2010
Truncation errors, exact and heuristic stability analysis of two-relaxation-times lattice Boltzmann schemes for anisotropic advection-diffusion equation. Zbl 1373.76241
Ginzburg, Irina
31
2012
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.
31
2012
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
30
2016
Frequency principle: Fourier analysis sheds light on deep neural networks. Zbl 1507.68279
Xu, Zhi-Qin John; Zhang, Yaoyu; Luo, Tao; Xiao, Yanyang; Ma, Zheng
30
2020
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
29
2012
Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field. Zbl 1373.82075
Frénod, Emmanuel; Hirstoaga, Sever A.; Lutz, Mathieu; Sonnendrücker, Eric
29
2015
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha
29
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
28
2009
Convergence analysis for stochastic collocation methods to scalar hyperbolic equations with a random wave speed. Zbl 1364.65215
Tang, Tao; Zhou, Tao
28
2010
A decreasing upper bound of the energy for time-fractional phase-field equations. Zbl 1514.65105
Quan, Chaoyu; Tang, Tao; Wang, Boyi; Yang, Jiang
6
2023
Entropic multi-relaxation-time lattice Boltzmann model for large density ratio two-phase flows. Zbl 1524.76490
Hosseini, S. A.; Dorschner, B.; Karlin, I. V.
3
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A characteristic boundary condition for multispeed lattice Boltzmann methods. Zbl 1524.76286
Klass, Friedemann; Gabbana, Alessandro; Bartel, Andreas
3
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Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes. Zbl 1512.74099
Park, Jea-Hyun; Salgado, Abner J.; Wise, Steven M.
3
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Convergence of physics-informed neural networks applied to linear second-order elliptic interface problems. Zbl 1509.65145
Wu, Sidi; Zhu, Aiqing; Tang, Yifa; Lu, Benzhuo
3
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The bulk-surface virtual element method for reaction-diffusion PDEs: analysis and applications. Zbl 07708276
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne
2
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Efficient splitting methods based on modified potentials: numerical integration of linear parabolic problems and imaginary time propagation of the Schrödinger equation. Zbl 1514.65115
Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild
2
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Modeling thermal regulation in thin vascular systems: a mathematical analysis. Zbl 1524.35661
Nakshatrala, Kalyana B.
2
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Investigating and mitigating failure modes in physics-informed neural networks (PINNs). Zbl 1514.65146
Basir, Shamsulhaq
2
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Numerical solution of the incompressible Navier-Stokes equation by a deep branching Algorithm. Zbl 07738853
Nguwi, Jiang Yu; Penent, Guillaume; Privault, Nicolas
2
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Neural networks with local converging inputs (NNLCI) for solving conservation laws. I: 1D problems. Zbl 1519.65018
Huang, Haoxiang; Yang, Vigor; Liu, Yingjie
2
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Fifth-order A-WENO path-conservative central-upwind scheme for behavioral non-equilibrium traffic models. Zbl 1520.76057
Chu, Shaoshuai; Kurganov, Alexander; Mohammadian, Saeed; Zheng, Zuduo
1
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Implicit quadrature-free direct reconstruction method for efficient scale-resolving simulations. Zbl 1524.76234
You, Hojun; Kim, Juhyun; Kim, Chongam
1
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A new family of nonconforming elements with \(\boldsymbol{H}(\operatorname{curl})\)-continuity for the 3D quad-curl problem. Zbl 1515.65303
Zhang, Baiju; Zhang, Zhimin
1
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An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications. Zbl 1514.65150
Hu, Wei-Fan; Lin, Te-Sheng; Tseng, Yu-Hau; Lai, Ming-Chih
1
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A five-point TENO scheme with adaptive dissipation based on a new scale sensor. Zbl 07708289
Huang, Haohan; Liang, Tian; Fu, Lin
1
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The effect of the width of the incident pulse to the dielectric transition layer in the scattering of an electromagnetic pulse – a qubit lattice algorithm simulation. Zbl 1512.78032
Vahala, George; Vahala, Linda; Ram, Abhay K.; Soe, Min
1
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Multiscale hybrid modeling of proteins in solvent: SARS-CoV2 spike protein as test case for lattice Boltzmann – all atom molecular dynamics coupling. Zbl 1508.92084
Lauricella, Marco; Chiodo, Letizia; Bonaccorso, Fabio; Durve, Mihir; Montessori, Andrea; Tiribocchi, Adriano; Loppini, Alessandro; Filippi, Simonetta; Succi, Sauro
1
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A fourth-order kernel-free boundary integral method for interface problems. Zbl 1518.65138
Xie, Yaning; Li, Shuwang; Ying, Wenjun
1
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An iterative thresholding method for the minimum compliance problem. Zbl 1514.74072
Cen, Luyu; Hu, Wei; Wang, Dong; Wang, Xiaoping
1
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New superconvergent structures with optional superconvergent points for the finite volume element method. Zbl 1514.65113
Wang, Xiang; Zhang, Yuqing; Zhang, Zhimin
1
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Lattice Boltzmann modeling of cholesteric liquid crystal droplets under an oscillatory electric field. Zbl 1520.76060
Fadda, F.; Lamura, A.; Tiribocchi, A.
1
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Prediction of moments in the particles on demand method for LBM. Zbl 1518.76045
Zipunova, Elizaveta; Perepelkina, Anastasia; Levchenko, Vadim; Zvezdin, German
1
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Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates. Zbl 1524.76537
Simeoni, Daniele; Gabbana, Alessandro; Succi, Sauro
1
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Hyperbolic divergence cleaning in lattice Boltzmann magnetohydrodynamics. Zbl 1524.76512
Dellar, Paul J.
1
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Chromodynamic lattice Boltzmann method for the simulation of drops, erythrocytes, and other vesicles. Zbl 1512.76074
Spendlove, J.; Xu, X.; Schenkel, T.; Gunn, J. P.; Halliday, I.
1
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Lattice Boltzmann simulations of two linear microswimmers using the immersed boundary method. Zbl 1512.76071
Geyer, D.; Ziegler, S.; Sukhov, A.; Hubert, M.; Smith, A.-S.; Aouane, O.; Malgaretti, P.; Harting, J.
1
2023
Numerical stability analysis for a stationary and translating droplet at extremely low viscosity values using the lattice Boltzmann method color-gradient multi-component model with central moments formulation. Zbl 1522.76059
Datadien, Karun P. N.; Di Staso, Gianluca; Toschi, Federico
1
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Effective force stabilising technique for the immersed boundary method. Zbl 1508.76084
Ghosh, Arnab; Gabbana, Alessandro; Wijshoff, Herman; Toschi, Federico
1
2023
Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors. Zbl 1519.65037
Bergermann, Kai; Deibel, Carsten; Herzog, Roland; Mackenzie, Roderick C. I.; Pietschmann, Jan-Frederik; Stoll, Martin
1
2023
Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence. Zbl 07738849
Gao, Yuan; Liu, Jian-Guo
1
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General synthetic iterative scheme for unsteady rarefied gas flows. Zbl 1522.76056
Zeng, Jianan; Su, Wei; Wu, Lei
1
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Monotonic diamond and DDFV type finite-volume schemes for 2D elliptic problems. Zbl 1519.65047
Blanc, Xavier; Hermeline, Francois; Labourasse, Emmanuel; Patela, Julie
1
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A normalizing field flow induced two-stage stochastic homogenization method for random composite materials. Zbl 07783560
Yang, Zihao; Wang, Xintong; Guan, Xiaofei; Huang, Jizu; Wu, Xixin
1
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Learning specialized activation functions for physics-informed neural networks. Zbl 07783913
Wang, Honghui; Lu, Lu; Song, Shiji; Huang, Gao
1
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Sixth-order compact finite difference method for 2D Helmholtz equations with singular sources and reduced pollution effect. Zbl 07783557
Feng, Qiwei; Han, Bin; Michelle, Michelle
1
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Convergence rate analysis for deep Ritz method. Zbl 1491.65117
Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian
17
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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
11
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Deep unfitted Nitsche method for elliptic interface problems. Zbl 1493.65203
Guo, Hailong; Yang, Xu
10
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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.
9
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An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. Zbl 1482.65226
Huang, Jianguo; Wang, Haoqin; Zhou, Tao
9
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A rate of convergence of physics informed neural networks for the linear second order elliptic PDEs. Zbl 1491.65118
Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Wang, Fengru; Wang, Yang; Yang, Jerry Zhijian
7
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High-order positivity-preserving well-balanced discontinuous Galerkin methods for Euler equations with gravitation on unstructured meshes. Zbl 1482.65191
Zhang, Weijie; Xing, Yulong; Xia, Yinhua; Xu, Yan
6
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A consensus-based global optimization method with adaptive momentum estimation. Zbl 1508.68283
Chen, Jingrun; Jin, Shi; Lyu, Liyao
6
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Solving time dependent Fokker-Planck equations via temporal normalizing flow. Zbl 1495.65187
Feng, Xiaodong; Zeng, Li; Zhou, Tao
6
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Well-balanced central scheme for the system of MHD equations with gravitational source term. Zbl 1496.65138
Kanbar, Farah; Touma, Rony; Klingenberg, Christian
6
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A new mapped WENO scheme using order-preserving mapping. Zbl 1482.65147
Li, Ruo; Zhong, Wei
6
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Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. Zbl 1496.65120
Li, Jiayin; Shu, Chi-Wang; Qiu, Jianxian
5
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A new directional algebraic fast multipole method based iterative solver for the Lippmann-Schwinger equation accelerated with HODLR preconditioner. Zbl 1508.65149
Gujjula, Vaishnavi; Ambikasaran, Sivaram
5
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A colocalized scheme for three-temperature grey diffusion radiation hydrodynamics. Zbl 1482.65160
Chauvin, R.; Guisset, S.; Manach-Perennou, B.; Martaud, L.
4
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Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011
Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio
4
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On a hybrid approach for recovering multiple obstacles. Zbl 1482.62044
Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu
4
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Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction. Zbl 1508.92070
Bucelli, Michele; Dede, Luca; Quarteroni, Alfio; Vergara, Christian
4
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Integral equation method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1486.65234
Ma, Yunyun; Sun, Jiguang
4
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Random batch particle methods for the homogeneous Landau equation. Zbl 1486.65013
Carrillo, José Antonio; Jin, Shi; Tang, Yijia
4
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VAE-KRnet and its applications to variational Bayes. Zbl 1486.62096
Wan, Xiaoliang; Wei, Shuangqing
4
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An efficient iterative method for the formulation of flow networks. Zbl 1490.35323
Hu, Wei; Wang, Dong; Wang, Xiao-Ping
4
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Continuous finite element subgrid basis functions for discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. Zbl 1492.65261
Boscheri, Walter; Dumbser, Michael; Gaburro, Elena
4
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Physics-driven learning of the steady Navier-Stokes equations using deep convolutional neural networks. Zbl 1500.76071
Ma, Hao; Zhang, Yuxuan; Thuerey, Nils; Hu, Xiangyu; Haidn, Oskar J.
4
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A weak Galerkin mixed finite element method for second order elliptic equations on 2D curved domains. Zbl 1498.65204
Liu, Yi; Chen, Wenbin; Wang, Yanqiu
4
2022
Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. Zbl 1486.65281
Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei
3
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A general improvement in the WENO-Z-type schemes. Zbl 1486.65114
Li, Ruo; Zhong, Wei
3
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A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. Zbl 1486.65242
Chen, Huangxin; Pani, Amiya K.; Qiu, Weifeng
3
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MOD-Net: a machine learning approach via model-operator-data network for solving PDEs. Zbl 1497.35088
Zhang, Lulu; Luo, Tao; Zhang, Yaoyu; E, Weinan; Xu, Zhi-Qin John; Ma, Zheng
3
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A NURBS-enhanced finite volume method for steady Euler equations with goal-oriented \(h\)-adaptivity. Zbl 1497.76058
Meng, Xucheng; Hu, Guanghui
3
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A holomorphic operator function approach for the transmission eigenvalue problem of elastic waves. Zbl 1495.65204
Xi, Yingxia; Ji, Xia
3
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Fourier collocation and reduced basis methods for fast modeling of compressible flows. Zbl 1500.76064
Yu, Jian; Ray, Deep; Hesthaven, Jan S.
3
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PFNN-2: a domain decomposed penalty-free neural network method for solving partial differential equations. Zbl 1498.65155
Sheng, Hailong; Yang, Chao
3
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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
2
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A conservative and monotone characteristic finite element solver for three-dimensional transport and incompressible Navier-Stokes equations on unstructured grids. Zbl 1482.65182
Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed
2
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High order deep neural network for solving high frequency partial differential equations. Zbl 07493166
Chang, Zhipeng; Li, Ke; Zou, Xiufen; Xiang, Xueshuang
2
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Unified gas-kinetic wave-particle methods. VI: Disperse dilute gas-particle multiphase flow. Zbl 1482.65166
Yang, Xiaojian; Liu, Chang; Ji, Xing; Shyy, Wei; Xu, Kun
2
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Anomalous sorption kinetics of self-interacting particles by a spherical trap. Zbl 1493.92024
Raudino, Antonio; Grassi, Antonio; Lombardo, Giuseppe; Russo, Giovanni; Astuto, Clarissa; Corti, Mario
2
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VPVnet: a velocity-pressure-vorticity neural network method for the Stokes’ equations under reduced regularity. Zbl 1492.76040
Liu, Yujie; Yang, Chao
2
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Kinetic slip boundary condition for isothermal rarefied gas flows through static non-planar geometries based on the regularized lattice-Boltzmann method. Zbl 1492.76091
Tucny, Jean-Michel; Vidal, David; Leclaire, Sébastien; Bertrand, François
2
2022
Incorporating the maximum entropy on the mean framework with kernel error for robust non-blind image deblurring. Zbl 1482.65087
Wong, Hok Shing; Zhang, Hao; Li, Lihua; Zeng, Tieyong; Fang, Yingying
2
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Active nematodynamics on curved surfaces – the influence of geometric forces on motion patterns of topological defects. Zbl 07493183
Nestler, Michael; Voigt, Axel
2
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Tuning symplectic integrators is easy and worthwhile. Zbl 1482.65228
McLachlan, Robert I.
2
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An adaptive modal discontinuous Galerkin finite element parallel method using unsplit multi-axial perfectly matched layer for seismic wave modeling. Zbl 1486.86001
Xu, Yang; Chen, Xiaofei; Zhang, Wei; Pan, Xiao
2
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
2
2022
Some random batch particle methods for the Poisson-Nernst-Planck and Poisson-Boltzmann equations. Zbl 1492.35371
Li, Lei; Liu, Jian-Guo; Tang, Yijia
2
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An adaptive moving mesh method for the five-equation model. Zbl 07569001
Gu, Yaguang; Luo, Dongmi; Gao, Zhen; Chen, Yibing
2
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Frame invariance and scalability of neural operators for partial differential equations. Zbl 1495.65202
Zafar, Muhammad I.; Han, Jiequn; Zhou, Xu-Hui; Xiao, Heng
2
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A high-order direct discontinuous Galerkin method for variable density incompressible flows. Zbl 1500.65076
Zhang, Fan; Liu, Tiegang
2
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A new artificial neural network method for solving Schrödinger equations on unbounded domains. Zbl 1498.65189
Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C.
2
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Approximating the Gaussian as a sum of exponentials and its applications to the fast Gauss transform. Zbl 1486.30107
Jiang, Shidong; Greengard, Leslie
2
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A deep spatio-temporal forecasting model for multi-site weather prediction post-processing. Zbl 1482.86030
Kong, Wenjia; Li, Haochen; Yu, Chen; Xia, Jiangjiang; Kang, Yanyan; Zhang, Pingwen
1
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A deep learning modeling framework to capture mixing patterns in reactive-transport systems. Zbl 1507.35182
Jagtap, N. V.; Mudunuru, M. K.; Nakshatrala, K. B.
1
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Immersed boundary approach to biofilm spread on surfaces. Zbl 1486.92117
Carpio, Ana; González-Albaladejo, Rafael
1
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Fractional buffer layers: absorbing boundary conditions for wave propagation. Zbl 1485.35376
Cai, Min; Kharazmi, Ehsan; Li, Changpin; Karniadakis, George Em
1
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An LDG method for stochastic Cahn-Hilliard type equation driven by general multiplicative noise involving second-order derivative. Zbl 1482.65016
Zhou, Li; Li, Yunzhang
1
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A mixed wavelet-learning method of predicting macroscopic effective heat transfer conductivities of braided composite materials. Zbl 1492.74007
Dong, Hao; Kou, Wenbo; Han, Junyan; Linghu, Jiale; Zou, Minqiang; Cui, Junzhi
1
2022
Nonlinear reduced DNN models for state estimation. Zbl 1492.65291
Dahmen, Wolfgang; Wang, Min; Wang, Zhu
1
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New insights on convergence properties of peridynamic models for transient diffusion and elastodynamics. Zbl 1509.74006
Zhou, Zhikun; Peng, Xuhao; Wu, Pan; Chen, Ziguang; Bobaru, Florin
1
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The effect of global smoothness on the accuracy of treecodes. Zbl 1518.70002
Boateng, Henry A.; Tlupova, Svetlana
1
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The corrected finite volume element methods for diffusion equations satisfying discrete extremum principle. Zbl 1505.65286
Li, Ang; Yang, Hongtao; Li, Yonghai; Yuan, Guangwei
1
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Numerical integrators for dispersion-managed KdV equation. Zbl 1486.65143
He, Ying; Zhao, Xiaofei
1
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The hyperbolic Schrödinger equation and the quantum lattice Boltzmann approximation. Zbl 1490.81072
Spigler, Renato
1
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Monotonicity correction for the finite element method of anisotropic diffusion problems. Zbl 1486.65269
Yu, Boyang; Yang, Hongtao; Li, Yonghai; Yuan, Guangwei
1
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An improved peridynamic model with energy-based micromodulus correction method for fracture in particle reinforced composites. Zbl 1497.74072
Yang, Zihao; Zheng, Shaoqi; Han, Fei; Shen, Shangkun; Guan, Xiaofei
1
2022
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Cited by 12,962 Authors

94 Shu, Chi-Wang
89 Dumbser, Michael
72 Huang, Yunqing
71 Chung, Tsz Shun Eric
71 Yang, Xiaofeng
66 Kim, Junseok
65 Xu, Kun
63 Kurganov, Alexander
62 Qiu, Jianxian
51 Zhu, Jun
49 Wang, Cheng
49 Zhang, Jiwei
48 Yang, Junxiang
47 Yuan, Guangwei
45 Carrillo de la Plata, José Antonio
45 Xu, Yan
41 Karniadakis, George Em
41 Liu, Tiegang
41 Shen, Jie
40 Hu, Guanghui
40 Li, Ruo
39 Antoine, Xavier
39 Chen, Yanping
39 Tang, Huazhong
38 Boscheri, Walter
37 Liu, Hailiang
37 Wise, Steven M.
36 Wang, Hong
35 Zhao, Jia
34 Efendiev, Yalchin R.
34 He, Xiaoming
34 Jin, Shi
34 Xing, Yulong
33 Li, Jichun
33 Zhang, Zhimin
32 Sun, Haiwei
31 Feng, Xinlong
31 Toro, Eleuterio Francisco
31 Xia, Yinhua
30 Li, Yibao
30 Loubère, Raphaël
30 Russo, Giovanni
30 Sun, Shuyu
30 Wang, Yushun
29 Chertock, Alina E.
29 Dehghan Takht Fooladi, Mehdi
29 Gassner, Gregor J.
29 Wang, Qi
28 Chen, Wenbin
28 Leung, Wingtat
28 Zhou, Tao
27 Li, Dongfang
27 Pareschi, Lorenzo
27 Qiu, Jingmei
27 Tan, Zhijun
27 Tang, Tao
27 Wang, Zhijian
26 Fu, Lin
26 Gong, Yuezheng
26 Lai, Mingchih
26 Xu, Chuanju
26 Ying, Wenjun
25 Guo, Zhaoli
25 Huang, Weizhang
25 Rozza, Gianluigi
25 Song, Songhe
24 Balsara, Dinshaw S.
24 Luo, Hong
24 Nordström, Jan
24 Qiao, Zhonghua
24 Zhong, Chengwen
23 Bao, Weizhu
23 Cai, Wei
23 Du, Qiang
23 Li, Peijun
23 Li, Qin
23 Lowengrub, John Samuel
23 Shu, Chang
23 Zhai, Qilong
23 Zhang, Zhengru
22 Kou, Jisheng
22 Liang, Dong
22 Liao, HongLin
22 Liu, Chun
22 Lukáčová-Medviďová, Mária
22 Zhang, Pingwen
21 Hong, Jialin
21 Ju, Lili
21 Mei, Liquan
21 Pan, Kejia
21 Qian, Xu
21 Titarev, Vladimir A.
21 Vasilyeva, Maria V.
21 Xiu, Dongbin
21 Zhao, Weidong
20 Cai, Zhenning
20 He, Yinnian
20 Hesthaven, Jan S.
20 Li, Zhilin
20 Nie, Yufeng
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229 Applied Mathematics and Computation
162 Computer Physics Communications
155 Numerical Methods for Partial Differential Equations
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126 SIAM Journal on Numerical Analysis
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81 Advances in Computational Mathematics
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65 Applied Mathematics Letters
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58 Computational Mechanics
53 Discrete and Continuous Dynamical Systems. Series B
51 Computational Geosciences
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43 International Journal of Numerical Analysis and Modeling
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40 International Journal for Numerical Methods in Fluids
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33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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31 SIAM/ASA Journal on Uncertainty Quantification
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22 Journal of Mathematical Analysis and Applications
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19 Calcolo
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15 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
15 Fractional Calculus & Applied Analysis
15 Networks and Heterogeneous Media
15 AMM. Applied Mathematics and Mechanics. (English Edition)
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14 Journal of Mathematical Physics
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14 Acta Numerica
14 Inverse Problems in Science and Engineering
14 SMAI Journal of Computational Mathematics
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12 Applicable Analysis
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3 Convex and discrete geometry (52-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Manifolds and cell complexes (57-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

Citations by Year