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Journal of Scientific Computing

Short Title: J. Sci. Comput.
Publisher: Springer US, New York, NY
ISSN: 0885-7474; 1573-7691/e
Online: https://link.springer.com/journal/10915/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 4,198 Publications (since 1986)
References Indexed: 3,931 Publications with 143,648 References.
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...and 193 more Volumes
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Authors

47 Shu, Chi-Wang
47 Zhang, Zhimin
30 Qiu, Jianxian
29 Orszag, Steven Alan
29 Osher, Stanley Joel
26 Cockburn, Bernardo
26 Gelb, Anne
25 Shen, Jie
23 Nordström, Jan
22 Xu, Yan
21 Gottlieb, Sigal
20 Huang, Yunqing
19 Gassner, Gregor J.
19 Kirby, Robert M. II
19 Kopriva, David Alan
18 Abgrall, Rémi
18 Jameson, Antony
18 Kang, Myungjoo
18 Rui, Hongxing
17 Feng, Xinlong
17 Guo, Ben-Yu
17 Hesthaven, Jan S.
17 Qiu, Jingmei
17 Rozza, Gianluigi
17 Wang, Cheng
16 Don, Wai Sun
16 Dumbser, Michael
16 He, Yinnian
16 Li, Fengyan
15 Gao, Zhen
15 Hu, Jun
15 Huang, Ting-Zhu
15 Karageorghis, Andreas
15 Li, Ruo
15 Pani, Amiya Kumar
15 Ryan, Jennifer K.
15 Tang, Tao
15 Wang, Hong
15 Yin, Wotao
14 Liu, Steve Wenbin
14 Zeng, Tie Yong
14 Zhang, Qiang
13 Brenner, Susanne Cecelia
13 Chen, Long
13 Chen, Wenbin
13 Chen, Yanping
13 Deng, Weihua
13 Feng, Xiaobing
13 Ju, Lili
13 Jung, Jae-Hun
13 Kurganov, Alexander
13 Ng, Michael Kwok-Po
13 Wang, Lilian
13 Xing, Yulong
12 Chen, Minghua
12 Fu, Guosheng
12 Gottlieb, David I.
12 Ketcheson, David I.
12 Leung, Shingyu
12 Li, Jichun
12 Lui, Lok Ming
12 Sun, Zhizhong
12 Sung, Li-Yeng
12 Tai, Xuecheng
12 Wang, Zhongqing
12 Zhang, Yongtao
12 Zingg, David W.
11 Antonietti, Paola Francesca
11 Cheng, Yingda
11 Christlieb, Andrew J.
11 Chung, Tsz Shun Eric
11 Dawson, Clint N.
11 Fernández-Nieto, Enrique Domingo
11 Gatica, Gabriel N.
11 Glowinski, Roland
11 Gustafsson, Bertil
11 Guzmán, Johnny
11 Houston, Paul
11 Mattsson, Ken
11 Qian, Jianliang
11 Ruiz-Baier, Ricardo
11 Stynes, Martin Joseph
11 Xia, Yinhua
11 Xie, Hehu
10 Baccouch, Mahboub
10 Boyd, John Philip
10 Cao, Waixiang
10 Deville, Michel O.
10 Ditkowski, Adi
10 Fischer, Paul F.
10 Fu, Hongfei
10 Ha, Youngsoo
10 Hao, Wenrui
10 Li, Dongfang
10 Li, Huiyuan
10 Lou, Yifei
10 Mao, Shipeng
10 Mulet, Pep
10 Parés Madroñal, Carlos
10 Qiao, Zhonghua
...and 5,694 more Authors
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Fields

3,589 Numerical analysis (65-XX)
1,836 Partial differential equations (35-XX)
1,259 Fluid mechanics (76-XX)
224 Calculus of variations and optimal control; optimization (49-XX)
206 Operations research, mathematical programming (90-XX)
198 Mechanics of deformable solids (74-XX)
195 Computer science (68-XX)
181 Optics, electromagnetic theory (78-XX)
131 Information and communication theory, circuits (94-XX)
120 Approximations and expansions (41-XX)
119 Linear and multilinear algebra; matrix theory (15-XX)
118 Statistical mechanics, structure of matter (82-XX)
102 Ordinary differential equations (34-XX)
94 Real functions (26-XX)
93 Probability theory and stochastic processes (60-XX)
90 Biology and other natural sciences (92-XX)
82 Classical thermodynamics, heat transfer (80-XX)
80 Integral equations (45-XX)
60 Geophysics (86-XX)
57 Operator theory (47-XX)
57 Statistics (62-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
45 Systems theory; control (93-XX)
40 Special functions (33-XX)
33 Dynamical systems and ergodic theory (37-XX)
33 Quantum theory (81-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Global analysis, analysis on manifolds (58-XX)
24 Potential theory (31-XX)
17 Integral transforms, operational calculus (44-XX)
17 Astronomy and astrophysics (85-XX)
14 Functions of a complex variable (30-XX)
12 General and overarching topics; collections (00-XX)
12 Functional analysis (46-XX)
10 Combinatorics (05-XX)
8 Differential geometry (53-XX)
8 Mechanics of particles and systems (70-XX)
8 Relativity and gravitational theory (83-XX)
6 Convex and discrete geometry (52-XX)
5 History and biography (01-XX)
4 General topology (54-XX)
3 Difference and functional equations (39-XX)
2 Measure and integration (28-XX)
1 Number theory (11-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

Publications by Year

Citations contained in zbMATH Open

3,467 Publications have been cited 48,543 times in 26,970 Documents Cited by Year
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
834
2001
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
308
2005
Spectral methods on triangles and other domains. Zbl 0742.76059
Dubiner, Moshe
271
1991
Aerodynamic design via control theory. Zbl 0676.76055
Jameson, Antony
255
1988
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
233
2002
Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040
Yakhot, Victor; Orszag, Steven A.
221
1986
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
216
2000
\(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. Zbl 1071.65151
Brenner, Susanne C.; Sung, Li-Yeng
206
2005
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
205
2019
On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036
Deng, Wei; Yin, Wotao
170
2016
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
164
2007
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
158
2015
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
154
2011
Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes. Zbl 1247.65131
Zhang, Xiangxiong; Xia, Yinhua; Shu, Chi-Wang
150
2012
Boundary conditions for incompressible flows. Zbl 0648.76023
Orszag, Steven A.; Israeli, Moshe; Deville, Michel O.
148
1986
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
145
2009
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
143
2010
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
137
2011
Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032
Ding, Weiyang; Wei, Yimin
133
2016
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
128
2014
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
128
2005
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
123
2011
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
122
2003
A linear energy stable scheme for a thin film model without slope selection. Zbl 1326.76007
Chen, Wenbin; Conde, Sidafa; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
118
2012
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
116
2002
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
110
2005
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
109
1988
Spectral difference method for unstructured grids. II. Extension to the Euler equations. Zbl 1151.76543
Wang, Z. J.; Liu, Yen; May, Georg; Jameson, Antony
105
2007
Scientific machine learning through physics-informed neural networks: where we are and what’s next. Zbl 07568980
Cuomo, Salvatore; Schiano Di Cola, Vincenzo; Giampaolo, Fabio; Rozza, Gianluigi; Raissi, Maziar; Piccialli, Francesco
105
2022
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063
Hou, Tianliang; Tang, Tao; Yang, Jiang
104
2017
Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269
Kopriva, David A.
103
2006
A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications. Zbl 1325.65139
Safdari-Vaighani, Ali; Heryudono, Alfa; Larsson, Elisabeth
102
2015
An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. Zbl 0724.76070
Maday, Y.; Patera, Anthony T.; Rønquist, Einar M.
99
1990
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
98
2003
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
96
2012
A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028
Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E.
96
2014
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
96
2013
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
95
2005
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
94
2017
Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem. Zbl 1419.65010
Chen, Hu; Stynes, Martin
94
2019
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
94
2006
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
94
2010
A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method. Zbl 1375.65137
Cheng, Kelong; Wang, Cheng; Wise, Steven M.; Yue, Xingye
92
2016
Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032
Ainsworth, M.; Monk, P.; Muniz, W.
92
2006
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
92
2007
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
91
1991
Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. Zbl 1297.76126
Gottlieb, Sigal; Wang, Cheng
91
2012
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
88
2003
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
87
2015
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
87
2006
Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
87
2017
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
86
2003
Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density. Zbl 1326.76064
Liu, Chun; Shen, Jie; Yang, Xiaofeng
84
2015
On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199
Kopriva, David A.; Gassner, Gregor
84
2010
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
83
2004
Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044
Goldstein, Tom; Bresson, Xavier; Osher, Stanley
83
2010
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
83
2010
High order semi-implicit schemes for time dependent partial differential equations. Zbl 1353.65075
Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni
83
2016
A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability. Zbl 1427.65148
Cheng, Kelong; Qiao, Zhonghua; Wang, Cheng
83
2019
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
82
2006
Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055
Mattsson, Ken
81
2012
\(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation. Zbl 1116.65117
Mozolevski, Igor; Süli, Endre; Bösing, Paulo R.
80
2007
A fully automatic \(hp\)-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
80
2002
An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation. Zbl 1292.65030
Ambikasaran, Sivaram; Darve, Eric
79
2013
A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection. Zbl 1305.82034
Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
79
2014
A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. Zbl 1319.65079
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L.
79
2015
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
79
2006
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
79
2002
Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction. Zbl 1418.65179
Li, Dongfang; Wu, Chengda; Zhang, Zhimin
79
2019
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
78
2015
Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization. Zbl 1097.65100
Wang, Z. J.; Liu, Y.
78
2004
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
78
2009
Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065
Pan, Hao; Rui, Hongxing
77
2012
A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. Zbl 1470.65166
Fresca, Stefania; Dede’, Luca; Manzoni, Andrea
77
2021
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
76
2011
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
76
1990
The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations. Zbl 1381.65064
Gao, Guang-hua; Alikhanov, Anatoly A.; Sun, Zhi-zhong
76
2017
Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations. Zbl 1450.65078
Liao, Hong-lin; Yan, Yonggui; Zhang, Jiwei
76
2019
Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation. Zbl 1379.65062
Gu, Xian-Ming; Huang, Ting-Zhu; Ji, Cui-Cui; Carpentieri, Bruno; Alikhanov, Anatoly A.
75
2017
Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. Zbl 1335.65077
Semplice, M.; Coco, A.; Russo, G.
74
2016
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
74
2002
Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows. Zbl 1397.76070
Han, Daozhi; Brylev, Alex; Yang, Xiaofeng; Tan, Zhijun
74
2017
Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes. Zbl 1133.76031
Jameson, Antony
74
2008
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
74
2007
A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation. Zbl 1497.65196
Wang, Min; Huang, Qiumei; Wang, Cheng
73
2021
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
72
2015
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
Constantinescu, Emil M.; Sandu, Adrian
72
2007
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
72
2010
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
71
2012
A new type of finite volume WENO schemes for hyperbolic conservation laws. Zbl 1381.65074
Zhu, Jun; Qiu, Jianxian
71
2017
Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element. Zbl 1368.65162
Shi, Dongyang; Wang, Junjun; Yan, Fengna
70
2017
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
70
2005
On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes. Zbl 1343.65116
Cravero, I.; Semplice, M.
69
2016
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
69
2003
A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
69
2014
Error estimates and superconvergence of mixed finite element methods for convex optimal control problems. Zbl 1203.49042
Chen, Yanping; Huang, Yunqing; Liu, Wenbin; Yan, Ningning
69
2010
Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237
Cancès, Eric; Chakir, Rachida; Maday, Yvon
69
2010
A high-order kernel method for diffusion and reaction-diffusion equations on surfaces. Zbl 1275.65056
Fuselier, Edward J.; Wright, Grady B.
68
2013
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
68
2007
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes. Zbl 1203.65156
Zhu, Jun; Qiu, Jianxian
68
2009
A new finite element method for elliptic optimal control problems with pointwise state constraints in energy spaces. Zbl 07960910
Gong, Wei; Tan, Zhiyu
1
2025
Discontinuity computing using physics-informed neural networks. Zbl 1530.65138
Liu, Li; Liu, Shengping; Xie, Hui; Xiong, Fansheng; Yu, Tengchao; Xiao, Mengjuan; Liu, Lufeng; Yong, Heng
10
2024
Asymptotically compatible energy and dissipation law of the nonuniform \(\mathrm{L}2\)-\(1_{\sigma}\) scheme for time fractional Allen-Cahn model. Zbl 1541.65069
Liao, Hong-lin; Zhu, Xiaohan; Sun, Hong
4
2024
Analysis of a new NFV scheme preserving DMP for two-dimensional sub-diffusion equation on distorted meshes. Zbl 1546.65067
Yang, Xuehua; Zhang, Zhimin
4
2024
A novel boundary integral formulation for the biharmonic wave scattering problem. Zbl 1534.65260
Dong, Heping; Li, Peijun
3
2024
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3
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Block preconditioning methods for asymptotic preserving scheme arising in anisotropic elliptic problems. Zbl 1537.65162
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3
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A priori error estimate of deep mixed residual method for elliptic PDEs. Zbl 1537.65191
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Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time. Zbl 1531.65190
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2
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Convergence of Dirichlet energy minimization for spherical conformal parameterizations. Zbl 1530.53074
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2
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Structure preserving schemes for Fokker-Planck equations of irreversible processes. Zbl 1530.65087
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2
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Provable stochastic algorithm for large-scale fully-connected tensor network decomposition. Zbl 1530.65048
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2
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Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy. Zbl 1533.65045
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2
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Fast high-order compact finite difference methods based on the averaged \(L1\) formula for a time-fractional mobile-immobile diffusion problem. Zbl 1544.65152
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A rapid numerical method for the Mullins-Sekerka flow with application to contact angle problems. Zbl 1533.65192
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2
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Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data. Zbl 1532.65075
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2
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Structure preserving polytopal discontinuous Galerkin methods for the numerical modeling of neurodegenerative diseases. Zbl 07880222
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2
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Novel well-balanced continuous interior penalty stabilizations. Zbl 1544.65172
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2
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A novel energy-optimized technique of SAV-based (EOP-SAV) approaches for dissipative systems. Zbl 07935470
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High-order accurate entropy stable schemes for relativistic hydrodynamics with general Synge-type equation of state. Zbl 1537.76112
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1
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Free-boundary problems for wave-structure interactions in shallow-water: DG-ALE description and local subcell correction. Zbl 1531.76058
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Least-squares virtual element method for Stokes problems on polygonal meshes. Zbl 1531.65253
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Energy-stable global radial basis function methods on summation-by-parts form. Zbl 1535.65292
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1
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On finite volume methods for a Navier-Stokes variational inequality. Zbl 1531.65219
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1
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1
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1
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Second order unconditionally convergent fully discrete scheme for incompressible vector potential MHD system. Zbl 07870822
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1
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A unified \(L^2\) norm error analysis of SAV-BDF schemes for the incompressible Navier-Stokes equations. Zbl 1544.65136
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1
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Coupled and decoupled stabilized finite element methods for the Stokes-Darcy-transport problem. Zbl 1542.65117
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1
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Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data. Zbl 1530.65147
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1
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Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations. Zbl 1530.65124
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1
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The Helmholtz equation with uncertainties in the wavenumber. Zbl 1533.65233
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1
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1
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The nonconforming virtual element method with curved edges. Zbl 1534.65231
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Enhanced low-rank tensor recovery fusing reweighted tensor correlated total variation regularization for image denoising. Zbl 07845611
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1
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A quadratic discontinuous finite volume element scheme for Stokes problems. Zbl 1546.65097
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1
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Temporal second-order fast finite difference/compact difference schemes for time-fractional generalized Burgers’ equations. Zbl 07839670
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1
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Analysis of an energy-dissipating finite volume scheme on admissible mesh for the aggregation-diffusion equations. Zbl 1539.65097
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1
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Convergence and superconvergence analysis of a nonconforming finite element variable-time-step BDF2 implicit scheme for linear reaction-diffusion equations. Zbl 1533.65179
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1
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Double precision is not necessary for LSQR for solving discrete linear ill-posed problems. Zbl 1532.65019
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Transferable neural networks for partial differential equations. Zbl 1534.65219
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Low-regularity integrator for the Davey-Stewartson II system. Zbl 1534.65207
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Anderson acceleration as a Krylov method with application to convergence analysis. Zbl 1534.65072
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1
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Active flux methods for hyperbolic systems using the method of bicharacteristics. Zbl 1534.65153
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1
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Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations. Zbl 1535.65163
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1
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Numerical modeling and open-source implementation of variational partition-of-unity localizations of space-time dual-weighted residual estimators for parabolic problems. Zbl 07827776
Thiele, J. P.; Wick, T.
1
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A second-order exponential time differencing multi-step energy stable scheme for Swift-Hohenberg equation with quadratic-cubic nonlinear term. Zbl 07827777
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1
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Sharp error bounds for a fractional collocation method for weakly singular Volterra integral equations with variable exponent. Zbl 1548.65406
Ma, Zheng; Stynes, Martin
1
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The splitting characteristic finite difference domain decomposition scheme for solving time-fractional MIM nonlinear advection-diffusion equations. Zbl 1545.65348
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1
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Anisotropic weakly over-penalised symmetric interior penalty method for the Stokes equation. Zbl 1546.65110
Ishizaka, Hiroki
1
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Error analysis of serendipity virtual element methods for semilinear parabolic integro-differential equations. Zbl 1546.65079
Xu, Yang; Zhou, Zhenguo; Zhao, Jingjun
1
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Arbitrary high order ADER-DG method with local DG predictor for solutions of initial value problems for systems of first-order ordinary differential equations. Zbl 1543.65108
Popov, Ivan S.
1
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Efficient and exact multimarginal optimal transport with pairwise costs. Zbl 1543.49040
Zhou, Bohan; Parno, Matthew
1
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On approximate matrix factorization and TASE W-methods for the time integration of parabolic partial differential equations. Zbl 1545.65308
Conte, Dajana; González-Pinto, Severiano; Hernández-Abreu, Domingo; Pagano, Giovanni
1
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Superconvergence analysis of a robust orthogonal Gauss collocation method for 2D fourth-order subdiffusion equations. Zbl 1546.65089
Yang, Xuehua; Zhang, Zhimin
1
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A preconditioned MINRES method for block lower triangular Toeplitz systems. Zbl 1546.65021
Li, Congcong; Lin, Xuelei; Hon, Sean; Wu, Shu-Lin
1
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Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations. Zbl 1547.65032
Sutti, Marco; Vandereycken, Bart
1
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Riemannian Newton methods for energy minimization problems of Kohn-Sham type. Zbl 1547.65067
Altmann, R.; Peterseim, D.; Stykel, T.
1
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An alternating direction multiplier method for the inversion of FDEM data. Zbl 1547.65068
Buccini, Alessandro; de Alba, Patricia Díaz; Pes, Federica
1
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A fast algorithm for rank-\((L, M, N)\) block term decomposition of multi-dimensional data. Zbl 1547.65079
Zhang, Hao; Huang, Ting-Zhu; Zhao, Xi-Le; Che, Maolin
1
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A structure-preserving semi-implicit IMEX finite volume scheme for ideal magnetohydrodynamics at all Mach and Alfvén numbers. Zbl 07909816
Boscheri, Walter; Thomann, Andrea
1
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High-order gas-kinetic scheme in general curvilinear coordinate for iLES of compressible wall-bounded turbulent flows. Zbl 07935467
Cao, Guiyu; Pan, Liang; Xu, Kun; Chen, Shiyi
1
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An AI-aided algorithm for multivariate polynomial reconstruction on Cartesian grids and the PLG finite difference method. Zbl 07945517
Zhang, Qinghai; Zhu, Yuke; Li, Zhixuan
1
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Additive Schwarz methods for fourth-order variational inequalities. Zbl 07945525
Park, Jongho
1
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Very high-order A-stable stiffly accurate diagonally implicit Runge-Kutta methods with error estimators. Zbl 1547.65085
Alamri, Yousef; Ketcheson, David I.
1
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Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system. Zbl 1517.35185
Tang, Yangyang; Zou, Guang-an; Li, Jian
18
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Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method. Zbl 07698834
Romor, Francesco; Stabile, Giovanni; Rozza, Gianluigi
16
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Fully discrete discontinuous Galerkin numerical scheme with second-order temporal accuracy for the hydrodynamically coupled lipid vesicle model. Zbl 1517.35188
Zou, Guang-an; Li, Zhaohua; Yang, Xiaofeng
16
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Eigenvalues of quaternion tensors with applications to color video processing. Zbl 1504.15023
He, Zhuo-Heng; Wang, Xiang-Xiang; Zhao, Yun-Fan
13
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An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows. Zbl 07682840
Hou, Dianming; Qiao, Zhonghua
13
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Element-free Galerkin analysis of Stokes problems using the reproducing kernel gradient smoothing integration. Zbl 1545.65444
Li, Xiaolin
13
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Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems. Zbl 1515.65212
Dehghan, Mehdi; Gharibi, Zeinab; Ruiz-Baier, Ricardo
12
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Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation. Zbl 07708330
Ciallella, Mirco; Torlo, Davide; Ricchiuto, Mario
12
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Strong convergence of forward-reflected-backward splitting methods for solving monotone inclusions with applications to image restoration and optimal control. Zbl 1529.47114
Izuchukwu, Chinedu; Reich, Simeon; Shehu, Yekini; Taiwo, Adeolu
10
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Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities. Zbl 07742008
Thomann, Andrea; Dumbser, Michael
9
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An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension. Zbl 07682799
Chiocchetti, Simone; Dumbser, Michael
9
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Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations. Zbl 07698821
Jin, Shi; Ma, Zheng; Wu, Keke
9
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Scale-invariant multi-resolution alternative WENO scheme for the Euler equations. Zbl 1504.65239
Li, Peng; Li, Tingting; Don, Wai-Sun; Wang, Bao-Shan
8
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Optimal error estimates of SAV Crank-Nicolson finite element method for the coupled nonlinear Schrödinger equation. Zbl 1545.65339
Li, Dongfang; Li, Xiaoxi; Sun, Hai-wei
8
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Large-scale Bayesian optimal experimental design with derivative-informed projected neural network. Zbl 1519.35348
Wu, Keyi; O’Leary-Roseberry, Thomas; Chen, Peng; Ghattas, Omar
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High-order finite-volume TENO schemes with dual ENO-like stencil selection for unstructured meshes. Zbl 07698936
Ji, Zhe; Liang, Tian; Fu, Lin
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Locking-free and locally-conservative enriched Galerkin method for poroelasticity. Zbl 1512.65212
Lee, Sanghyun; Yi, Son-Young
7
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The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models. Zbl 07682834
Yu, Yue; Zhang, Jiansong; Qin, Rong
7
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A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates. Zbl 07708331
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Global-in-time \(H^1\)-stability of \(\mathrm{L}2\)-\(1_\sigma\) method on general nonuniform meshes for subdiffusion equation. Zbl 07698865
Quan, Chaoyu; Wu, Xu
7
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Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices. Zbl 1516.65010
Le Borne, Sabine; Leinen, Willi
7
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Generalised latent assimilation in heterogeneous reduced spaces with machine learning surrogate models. Zbl 1534.76069
Cheng, Sibo; Chen, Jianhua; Anastasiou, Charitos; Angeli, Panagiota; Matar, Omar K.; Guo, Yi-Ke; Pain, Christopher C.; Arcucci, Rossella
6
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A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion. Zbl 07766134
Huang, Qiong-Ao; Jiang, Wei; Yang, Jerry Zhijian; Yuan, Cheng
6
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Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations. Zbl 1529.65058
Carter, John; Han, Daozhi; Jiang, Nan
6
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A second order accurate, positivity preserving numerical method for the Poisson-Nernst-Planck system and its convergence analysis. Zbl 07751604
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120 Nordström, Jan
117 Shi, Dongyang
94 Qiu, Jianxian
93 He, Yinnian
93 Yang, Xiaofeng
87 Feng, Xinlong
87 Kim, Junseok
86 Shen, Jie
85 Rui, Hongxing
84 Zhang, Shangyou
80 Wang, Cheng
77 Karniadakis, George Em
76 Cockburn, Bernardo
69 Li, Jichun
68 Abgrall, Rémi
67 Hesthaven, Jan S.
65 Gassner, Gregor J.
64 Rozza, Gianluigi
64 Wang, Hong
63 Zhu, Jun
62 Antonietti, Paola Francesca
62 Xu, Yan
61 Zheng, Xiangcheng
59 Huang, Ting-Zhu
59 Liu, Yang
58 Ye, Xiu
57 Kurganov, Alexander
57 Li, Hong
56 Ju, Lili
56 Toro, Eleuterio Francisco
55 He, Xiaoming
55 Zaky, Mahmoud A.
54 Wise, Steven M.
52 Boscheri, Walter
52 Li, Ruo
52 Yang, Junxiang
51 Abbaszadeh, Mostafa
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50 Baccouch, Mahboub
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50 Huang, Chengming
50 Li, Dongfang
50 Osher, Stanley Joel
49 Mewomo, Oluwatosin Temitope
49 Ruiz-Baier, Ricardo
49 Xu, Da
48 Munz, Claus-Dieter
48 Pan, Kejia
48 Vong, Seakweng
48 Xia, Yinhua
47 Gibou, Frédéric
47 Simos, Theodore E.
47 Wang, Yushun
47 Wang, Zhongqing
46 Gelb, Anne
46 Hou, Yanren
46 Kirby, Robert M. II
46 Mei, Liquan
46 Xing, Yulong
45 Li, Meng
45 Sun, Shuyu
45 Yang, Yang
45 Yang, Yidu
44 Balsara, Dinshaw S.
44 Jameson, Antony
44 Liu, Fawang
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44 Mu, Lin
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44 Russo, Giovanni
44 Sun, Zhizhong
43 Chen, Wenbin
43 Ng, Michael Kwok-Po
43 Qiu, Jingmei
43 Tai, Xuecheng
43 Wang, Lilian
43 Wu, Boying
42 Boyd, John Philip
42 Cheng, Yingda
42 Chung, Tsz Shun Eric
42 Dawson, Clint N.
42 Fu, Hongfei
42 Gatica, Gabriel N.
41 Bürger, Raimund
41 Gao, Zhen
41 Li, Xiaoli
41 Song, Songhe
41 Sung, Li-Yeng
41 Temam, Roger Meyer
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