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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: 3,871 Publications (since 1986)
References Indexed: 3,606 Publications with 128,752 References.
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...and 181 more Volumes
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Authors

44 Shu, Chi-Wang
39 Zhang, Zhimin
29 Orszag, Steven Alan
29 Osher, Stanley Joel
27 Qiu, Jianxian
26 Cockburn, Bernardo
26 Gelb, Anne
23 Nordström, Jan
22 Xu, Yan
21 Gottlieb, Sigal
19 Huang, Yunqing
19 Kirby, Robert M. II
19 Kopriva, David Alan
18 Gassner, Gregor J.
18 Jameson, Antony
18 Kang, Myungjoo
18 Shen, Jie
17 Feng, Xinlong
17 Guo, Ben-Yu
17 Hesthaven, Jan S.
16 Abgrall, Rémi
16 Don, Wai Sun
16 He, Yinnian
16 Li, Fengyan
16 Rozza, Gianluigi
16 Wang, Cheng
15 Dumbser, Michael
15 Karageorghis, Andreas
15 Rui, Hongxing
15 Ryan, Jennifer K.
15 Wang, Hong
15 Yin, Wotao
14 Gao, Zhen
14 Hu, Jun
14 Liu, Steve Wenbin
14 Pani, Amiya Kumar
14 Tang, Tao
13 Chen, Yanping
13 Deng, Weihua
13 Feng, Xiaobing
13 Kurganov, Alexander
13 Li, Ruo
13 Qiu, Jingmei
13 Wang, Lilian
13 Xing, Yulong
13 Zhang, Qiang
12 Chen, Long
12 Chen, Wenbin
12 Gottlieb, David I.
12 Huang, Ting-Zhu
12 Lui, Lok Ming
12 Ng, Michael Kwok-Po
12 Sun, Zhizhong
11 Brenner, Susanne Cecelia
11 Cheng, Yingda
11 Dawson, Clint N.
11 Fernández-Nieto, Enrique Domingo
11 Gatica, Gabriel N.
11 Glowinski, Roland
11 Gustafsson, Bertil
11 Guzmán, Johnny
11 Ju, Lili
11 Jung, Jae-Hun
11 Ketcheson, David I.
11 Li, Jichun
11 Ruiz-Baier, Ricardo
11 Sun, Haiwei
11 Tai, Xuecheng
11 Wang, Zhongqing
11 Zeng, Tie Yong
11 Zhang, Yongtao
10 Antonietti, Paola Francesca
10 Baccouch, Mahboub
10 Boyd, John Philip
10 Chen, Minghua
10 Christlieb, Andrew J.
10 Chung, Tsz Shun Eric
10 Deville, Michel O.
10 Ditkowski, Adi
10 Fischer, Paul F.
10 Fu, Guosheng
10 Leung, Shingyu
10 Mattsson, Ken
10 Parés Madroñal, Carlos
10 Qian, Jianliang
10 Sjogreen, Bjorn
10 Succi, Sauro
10 Sung, Li-Yeng
10 Temam, Roger Meyer
10 Xia, Yinhua
10 Xie, Hehu
10 Yang, Xiaofeng
10 Zhang, Jiwei
10 Zingg, David W.
9 Cao, Waixiang
9 Chertock, Alina E.
9 Fu, Hongfei
9 Gao, Huadong
9 Ha, Youngsoo
9 Han, Weimin
...and 5,233 more Authors
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Fields

3,291 Numerical analysis (65-XX)
1,657 Partial differential equations (35-XX)
1,163 Fluid mechanics (76-XX)
192 Calculus of variations and optimal control; optimization (49-XX)
185 Mechanics of deformable solids (74-XX)
170 Operations research, mathematical programming (90-XX)
168 Computer science (68-XX)
162 Optics, electromagnetic theory (78-XX)
121 Information and communication theory, circuits (94-XX)
108 Statistical mechanics, structure of matter (82-XX)
101 Approximations and expansions (41-XX)
99 Linear and multilinear algebra; matrix theory (15-XX)
98 Ordinary differential equations (34-XX)
85 Probability theory and stochastic processes (60-XX)
83 Biology and other natural sciences (92-XX)
77 Classical thermodynamics, heat transfer (80-XX)
76 Real functions (26-XX)
74 Integral equations (45-XX)
57 Geophysics (86-XX)
52 Operator theory (47-XX)
49 Statistics (62-XX)
45 Harmonic analysis on Euclidean spaces (42-XX)
42 Systems theory; control (93-XX)
34 Special functions (33-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
31 Dynamical systems and ergodic theory (37-XX)
28 Quantum theory (81-XX)
24 Global analysis, analysis on manifolds (58-XX)
21 Potential theory (31-XX)
16 Astronomy and astrophysics (85-XX)
14 Functions of a complex variable (30-XX)
14 Integral transforms, operational calculus (44-XX)
12 General and overarching topics; collections (00-XX)
12 Functional analysis (46-XX)
9 Mechanics of particles and systems (70-XX)
7 Relativity and gravitational theory (83-XX)
6 Differential geometry (53-XX)
5 History and biography (01-XX)
5 Combinatorics (05-XX)
5 Convex and discrete geometry (52-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 General topology (54-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

3,108 Publications have been cited 38,691 times in 22,138 Documents Cited by Year
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
760
2001
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
253
2005
Spectral methods on triangles and other domains. Zbl 0742.76059
Dubiner, Moshe
249
1991
Aerodynamic design via control theory. Zbl 0676.76055
Jameson, Antony
228
1988
Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040
Yakhot, Victor; Orszag, Steven A.
212
1986
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
202
2000
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
202
2002
\(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. Zbl 1071.65151
Brenner, Susanne C.; Sung, Li-Yeng
175
2005
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
146
2019
On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036
Deng, Wei; Yin, Wotao
146
2016
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
141
2011
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
137
2007
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
132
2015
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
130
2011
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
129
2009
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
127
2010
Boundary conditions for incompressible flows. Zbl 0648.76023
Orszag, Steven A.; Israeli, Moshe; Deville, Michel O.
126
1986
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
125
2012
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
113
2003
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
108
2005
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
107
2011
Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032
Ding, Weiyang; Wei, Yimin
105
2016
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.
104
2012
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
103
2002
Spectral difference method for unstructured grids. II. Extension to the Euler equations. Zbl 1151.76543
Wang, Z. J.; Liu, Yen; May, Georg; Jameson, Antony
98
2007
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
95
1988
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
95
2014
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
94
2005
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
92
2015
Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269
Kopriva, David A.
91
2006
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.
90
1990
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
90
2006
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
89
2003
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
88
1991
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
87
2003
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
86
2013
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.
84
2006
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
84
2017
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
82
2010
Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055
Mattsson, Ken
81
2012
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
81
2007
Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044
Goldstein, Tom; Bresson, Xavier; Osher, Stanley
81
2010
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
81
2012
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
79
2003
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
79
2016
A fully automatic \(hp\)-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
78
2002
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
78
2005
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
77
2010
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
77
2006
Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
76
2017
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063
Hou, Tianliang; Tang, Tao; Yang, Jiang
75
2017
Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. Zbl 1297.76126
Gottlieb, Sigal; Wang, Cheng
75
2012
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
75
2004
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
74
2002
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
73
2006
A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028
Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E.
73
2014
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.
72
2004
Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem. Zbl 1419.65010
Chen, Hu; Stynes, Martin
72
2019
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
72
2013
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
71
1990
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
71
2006
On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199
Kopriva, David A.; Gassner, Gregor
70
2010
\(hp\)-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.
69
2007
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.
69
2014
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
68
2002
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
Constantinescu, Emil M.; Sandu, Adrian
68
2007
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
67
2008
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
67
2011
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
66
2015
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
66
2010
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
66
2010
Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. Zbl 1335.65077
Semplice, M.; Coco, A.; Russo, G.
65
2016
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
65
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
64
2015
Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065
Pan, Hao; Rui, Hongxing
64
2012
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
64
2019
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
63
2009
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
62
2017
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.
62
2015
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
62
2015
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
61
2015
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
61
2007
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
61
2005
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.
60
2017
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231
Hidalgo, Arturo; Dumbser, Michael
60
2011
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
60
2005
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
60
2012
A new class of high-order energy stable flux reconstruction schemes for triangular elements. Zbl 1457.65101
Castonguay, P.; Vincent, P. E.; Jameson, A.
60
2012
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
60
2017
Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091
Després, Bruno; Lagoutière, Frédéric
59
2001
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. Zbl 1282.76134
Xing, Yulong; Zhang, Xiangxiong
59
2013
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
59
2019
High-order numerical algorithms for Riesz derivatives via constructing new generating functions. Zbl 1398.65030
Ding, Hengfei; Li, Changpin
58
2017
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
58
2007
High order semi-implicit schemes for time dependent partial differential equations. Zbl 1353.65075
Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni
58
2016
Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237
Cancès, Eric; Chakir, Rachida; Maday, Yvon
57
2010
A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382
Adams, Scot; Cockburn, Bernardo
57
2005
High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields. Zbl 1260.76022
Xing, Yulong; Shu, Chi-Wang
57
2013
On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes. Zbl 1343.65116
Cravero, I.; Semplice, M.
57
2016
On coordinate transformations for summation-by-parts operators. Zbl 1057.65054
Svärd, M.
56
2004
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
5
2023
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
4
2023
Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation. Zbl 07708330
Ciallella, Mirco; Torlo, Davide; Ricchiuto, Mario
4
2023
Generalised latent assimilation in heterogeneous reduced spaces with machine learning surrogate models. Zbl 07637331
Cheng, Sibo; Chen, Jianhua; Anastasiou, Charitos; Angeli, Panagiota; Matar, Omar K.; Guo, Yi-Ke; Pain, Christopher C.; Arcucci, Rossella
3
2023
Eigenvalues of quaternion tensors with applications to color video processing. Zbl 1504.15023
He, Zhuo-Heng; Wang, Xiang-Xiang; Zhao, Yun-Fan
3
2023
An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows. Zbl 07682840
Hou, Dianming; Qiao, Zhonghua
3
2023
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
3
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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
3
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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
3
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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
3
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Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling. Zbl 07698951
Gopalakrishnan, J.; Kogler, L.; Lederer, P. L.; Schöberl, J.
3
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Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. Zbl 1504.65226
Tominec, Igor; Nazarov, Murtazo
2
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Rank properties and computational methods for orthogonal tensor decompositions. Zbl 1504.15087
Zeng, Chao
2
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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
2
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Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. Zbl 07682839
Siena, Pierfrancesco; Girfoglio, Michele; Ballarin, Francesco; Rozza, Gianluigi
2
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Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations. Zbl 07682842
Carter, John; Han, Daozhi; Jiang, Nan
2
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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 07698833
Izuchukwu, Chinedu; Reich, Simeon; Shehu, Yekini; Taiwo, Adeolu
2
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An adaptive time-stepping method for the binary fluid-surfactant phase field model on evolving surfaces. Zbl 07698842
Huang, Shijie; Xiao, Xufeng; Feng, Xinlong
2
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A positivity-preserving, energy stable BDF2 scheme with variable steps for the Cahn-Hilliard equation with logarithmic potential. Zbl 07698850
Liu, Qianqian; Jing, Jianyu; Yuan, Maoqin; Chen, Wenbin
2
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Goal-oriented sensitivity analysis of hyperparameters in deep learning. Zbl 07698881
Novello, Paul; Poëtte, Gaël; Lugato, David; Congedo, Pietro Marco
2
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Stability and interpolation properties for Stokes-like virtual element spaces. Zbl 1516.65137
Meng, Jian; Beirão da Veiga, Lourenço; Mascotto, Lorenzo
2
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Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes. Zbl 07708326
Yu, Fan; Chen, Minghua
2
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An extended range of energy stable flux reconstruction methods on triangles. Zbl 07708333
Trojak, Will; Vincent, Peter
2
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Element-free Galerkin analysis of Stokes problems using the reproducing kernel gradient smoothing integration. Zbl 07708344
Li, Xiaolin
2
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Second order convergence of a modified MAC scheme for Stokes interface problems. Zbl 07708369
Dong, Haixia; Zhao, Zhongshu; Li, Shuwang; Ying, Wenjun; Zhang, Jiwei
2
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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
1
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First-order positivity-preserving entropy stable scheme for the 3-D compressible Navier-Stokes equations. Zbl 1504.65215
Upperman, Johnathon; Yamaleev, Nail K.
1
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Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. Zbl 1505.76059
Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon
1
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Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds. Zbl 1504.65237
Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F.
1
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A family of fast multi-resolution ENO schemes for compressible flows. Zbl 07682616
Li, Yue; Fu, Lin; Adams, Nikolaus A.
1
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A multiscale RBF method for severely ill-posed problems on spheres. Zbl 07682797
Zhong, Min; Gia, Quoc Thong Le; Sloan, Ian Hugh
1
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A line search based proximal stochastic gradient algorithm with dynamical variance reduction. Zbl 1518.90104
Franchini, Giorgia; Porta, Federica; Ruggiero, Valeria; Trombini, Ilaria
1
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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
1
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Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems. Zbl 1517.65060
Zhang, Mingzhu; Yi, Lijun
1
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Discrete adjoint computations for relaxation Runge-Kutta methods. Zbl 1517.49005
Bencomo, Mario J.; Chan, Jesse
1
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On spectral Petrov-Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise. Zbl 07698826
Li, Shengyue; Cao, Wanrong
1
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An efficient spectral trust-region deflation method for multiple solutions. Zbl 1516.65146
Li, Lin; Wang, Li-Lian; Li, Huiyuan
1
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Numerical computation of partial differential equations by hidden-layer concatenated extreme learning machine. Zbl 1515.65046
Ni, Naxian; Dong, Suchuan
1
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A viscoelastic Timoshenko beam model: regularity and numerical approximation. Zbl 07698863
Li, Yiqun; Wang, Hong; Zheng, Xiangcheng
1
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Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection. Zbl 1515.65233
De Sterck, H.; Falgout, R. D.; Krzysik, O. A.; Schroder, J. B.
1
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Sequential image recovery using joint hierarchical Bayesian learning. Zbl 07698875
Xiao, Yao; Glaubitz, Jan
1
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A fictitious domain spectral method for solving the Helmholtz equation in exterior domains. Zbl 07698882
Gu, Yiqi; Shen, Jie
1
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The Cartesian grid active flux method with adaptive mesh refinement. Zbl 1516.65072
Calhoun, Donna; Chudzik, Erik; Helzel, Christiane
1
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Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems. Zbl 07698899
Liao, Yulei; Ming, Pingbing; Xu, Yun
1
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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
1
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ReLU neural network Galerkin BEM. Zbl 07698915
Aylwin, Rubén; Henríquez, Fernando; Schwab, Christoph
1
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A dynamic mode decomposition based reduced-order model for parameterized time-dependent partial differential equations. Zbl 07698930
Lin, Yifan; Gao, Zhen; Chen, Yuanhong; Sun, Xiang
1
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New analysis of mixed finite element methods for incompressible magnetohydrodynamics. Zbl 1516.65132
Huang, Yuchen; Qiu, Weifeng; Sun, Weiwei
1
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Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations. Zbl 07698939
Gatica, Gabriel N.; Núñez, Nicolás; Ruiz-Baier, Ricardo
1
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A corrected L1 method for a time-fractional subdiffusion equation. Zbl 07698945
Yang, Zheng; Zeng, Fanhai
1
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Gradient robust mixed methods for nearly incompressible elasticity. Zbl 1516.65122
Basava, Seshadri R.; Wollner, Winnifried
1
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High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. Zbl 07708312
Sebastiano, Boscarino
1
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Numerical estimation of the inverse eigenvalue problem for a weighted Helmholtz equation. Zbl 07708317
Zhang, Zhengfang; Gao, Xiangjing; Cheng, Xiaoliang
1
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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
Fu, Hongfei; Zhang, Bingyin; Zheng, Xiangcheng
1
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A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation. Zbl 07708340
Zhang, Guoyu; Huang, Chengming; Alikhanov, Anatoly A.; Yin, Baoli
1
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A primal-dual finite element method for scalar and vectorial total variation minimization. Zbl 1522.90252
Hilb, Stephan; Langer, Andreas; Alkämper, Martin
1
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A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points. Zbl 07720243
Pechstein, Clemens
1
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A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential. Zbl 07722595
Chen, Wenbin; Jing, Jianyu; Wu, Hao
1
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Residual a posteriori error estimation for frictional contact with Nitsche method. Zbl 07730750
Araya, Rodolfo; Chouly, Franz
1
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Multiple-relaxation Runge Kutta methods for conservative dynamical systems. Zbl 1520.65056
Biswas, Abhijit; Ketcheson, David I.
1
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Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities. Zbl 07742008
Thomann, Andrea; Dumbser, Michael
1
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A FEAST SVDsolver based on Chebyshev-Jackson series for computing partial singular triplets of large matrices. Zbl 1526.65013
Jia, Zhongxiao; Zhang, Kailiang
1
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An adaptive superfast inexact proximal augmented Lagrangian method for smooth nonconvex composite optimization problems. Zbl 1522.90142
Sujanani, Arnesh; Monteiro, Renato D. C.
1
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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
35
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Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems. Zbl 1510.47092
Ogwo, G. N.; Izuchukwu, C.; Shehu, Y.; Mewomo, O. T.
16
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Subgradient extragradient method with double inertial steps for variational inequalities. Zbl 07458297
Yao, Yonghong; Iyiola, Olaniyi S.; Shehu, Yekini
13
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Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations. Zbl 1492.65239
Ju, Lili; Li, Xiao; Qiao, Zhonghua
12
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A sharp \(\alpha\)-robust \(L^\infty (H^1)\) error bound for a time-fractional Allen-Cahn problem discretised by the Alikhanov \(L2-1_\sigma\) scheme and a standard FEM. Zbl 1490.65199
Huang, Chaobao; Stynes, Martin
11
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Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model. Zbl 1492.35397
Liao, Hong-lin; Ji, Bingquan; Wang, Lin; Zhang, Zhimin
10
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A class of new high-order finite-volume TENO schemes for hyperbolic conservation laws with unstructured meshes. Zbl 1503.65201
Ji, Zhe; Liang, Tian; Fu, Lin
10
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\(\beta\)-robust superconvergent analysis of a finite element method for the distributed order time-fractional diffusion equation. Zbl 1480.65258
Huang, Chaobao; Chen, Hu; An, Na
10
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A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations. Zbl 1497.65130
Lyu, Pin; Vong, Seakweng
9
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A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach. Zbl 1481.65131
Hou, Dianming; Xu, Chuanju
9
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Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations. Zbl 1518.65113
Yang, Jiang; Yuan, Zhaoming; Zhou, Zhi
9
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Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws. Zbl 07488731
Kuzmin, Dmitri; Quezada de Luna, Manuel; Ketcheson, David I.; Grüll, Johanna
8
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Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations. Zbl 07435301
Zhang, Hong; Yan, Jingye; Qian, Xu; Chen, Xiaowei; Song, Songhe
8
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Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084
Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong
8
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Immersed virtual element methods for elliptic interface problems in two dimensions. Zbl 1497.65223
Cao, Shuhao; Chen, Long; Guo, Ruchi; Lin, Frank
7
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Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations. Zbl 1490.65217
Zhang, Tong; Yuan, JinYun
7
2022
Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations. Zbl 1483.90161
Waziri, Mohammed Yusuf; Ahmed, Kabiru
7
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Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. Zbl 1481.65060
Reichel, Lothar; Ugwu, Ugochukwu O.
7
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High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation. Zbl 1481.65134
Jiang, Chaolong; Cui, Jin; Qian, Xu; Song, Songhe
7
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Constrained high-index saddle dynamics for the solution landscape with equality constraints. Zbl 1501.37081
Yin, Jianyuan; Huang, Zhen; Zhang, Lei
6
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Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection. Zbl 1490.74008
Kang, Yuanyuan; Liao, Hong-lin
6
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Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows. Zbl 1504.35184
Thein, Ferdinand; Romenski, Evgeniy; Dumbser, Michael
6
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Preconditioners with symmetrized techniques for space fractional Cahn-Hilliard equations. Zbl 1492.65238
Huang, Xin; Li, Dongfang; Sun, Hai-Wei; Zhang, Fan
6
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Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. Zbl 1478.65079
Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano
6
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On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions. Zbl 1481.35401
Hendy, A. S.; Van Bockstal, K.
6
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A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. Zbl 1490.65249
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin
6
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Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics. Zbl 07454946
Su, Haiyan; Zhang, Guo-Dong
6
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Variational framework for structure-preserving electromagnetic particle-in-cell methods. Zbl 1494.35145
Campos Pinto, Martin; Kormann, Katharina; Sonnendrücker, Eric
5
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A class of unconditioned stable 4-point WSGD schemes and fast iteration methods for space fractional diffusion equations. Zbl 07549606
She, Zi-Hang
5
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Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1504.65208
Li, Meng
5
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Stability issues of entropy-stable and/or split-form high-order schemes. Analysis of linear stability. Zbl 07477386
Gassner, Gregor J.; Svärd, Magnus; Hindenlang, Florian J.
5
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Accelerated information gradient flow. Zbl 1484.90059
Wang, Yifei; Li, Wuchen
5
2022
Error analysis of a decoupled finite element method for quad-curl problems. Zbl 1479.65026
Cao, Shuhao; Chen, Long; Huang, Xuehai
5
2022
A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier. Zbl 1481.65139
Lee, Hyun Geun; Shin, Jaemin; Lee, June-Yub
5
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A finite difference method for the variational \(p\)-Laplacian. Zbl 1486.65224
del Teso, Félix; Lindgren, Erik
5
2022
A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition. Zbl 07458294
Yang, Zhipeng; Ming, Ju; Qiu, Changxin; Li, Maojun; He, Xiaoming
5
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A fully divergence-free finite element scheme for stationary inductionless magnetohydrodynamic equations. Zbl 1481.65234
Zhang, Xiaodi; Wang, Xiaorong
5
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Cited by 21,984 Authors

215 Shu, Chi-Wang
121 Dumbser, Michael
118 Huang, Yunqing
111 Nordström, Jan
109 Chen, Yanping
108 Dehghan Takht Fooladi, Mehdi
91 Zhang, Zhimin
88 Shi, Dongyang
83 Qiu, Jianxian
78 He, Yinnian
76 Yang, Xiaofeng
74 Cockburn, Bernardo
71 Wang, Cheng
66 Karniadakis, George Em
65 Li, Jichun
65 Rui, Hongxing
64 Shen, Jie
62 Zhang, Shangyou
61 Kim, Junseok
60 Feng, Xinlong
59 Hesthaven, Jan S.
59 Wang, Hong
57 Abgrall, Rémi
57 Xu, Yan
56 Rozza, Gianluigi
55 Gassner, Gregor J.
53 Huang, Ting-Zhu
52 Zhu, Jun
51 Toro, Eleuterio Francisco
50 Antonietti, Paola Francesca
50 Ju, Lili
49 Karageorghis, Andreas
49 Ye, Xiu
49 Zheng, Xiangcheng
47 Liu, Yang
47 Wise, Steven M.
46 Baccouch, Mahboub
46 Li, Hong
46 Osher, Stanley Joel
45 Kurganov, Alexander
45 Munz, Claus-Dieter
44 Brenner, Susanne Cecelia
44 Gibou, Frédéric
44 Zaky, Mahmoud A.
43 Boscheri, Walter
43 Xu, Da
42 Abbaszadeh, Mostafa
42 He, Xiaoming
42 Hou, Yanren
42 Huang, Chengming
42 Li, Meng
42 Ruiz-Baier, Ricardo
42 Simos, Theodore E.
41 Chung, Tsz Shun Eric
41 Dawson, Clint N.
41 Li, Ruo
41 Liu, Hailiang
41 Temam, Roger Meyer
41 Xing, Yulong
40 Balsara, Dinshaw S.
40 Liu, Fawang
40 Xia, Yinhua
39 Cheng, Yingda
39 Gelb, Anne
39 Jameson, Antony
39 Russo, Giovanni
39 Sun, Haiwei
39 Sun, Zhizhong
39 Vong, Seakweng
39 Wang, Lilian
38 Bürger, Raimund
38 Gatica, Gabriel N.
38 Li, Dongfang
38 Mei, Liquan
38 Pan, Kejia
38 Qiu, Jingmei
38 Wang, Zhijian
38 Yang, Junxiang
38 Yang, Yidu
37 Boyd, John Philip
37 Gunzburger, Max D.
37 Guo, Ben-Yu
37 Kirby, Robert M. II
37 Wu, Boying
36 Chen, Chuanjun
36 Chen, Wenbin
36 Don, Wai Sun
36 Mu, Lin
36 Sun, Shuyu
35 Fu, Hongfei
35 Li, Xiaoli
35 Lowengrub, John Samuel
35 Maday, Yvon
35 Ng, Michael Kwok-Po
35 Sung, Li-Yeng
35 Wang, Yushun
35 Zhang, Mengping
34 Deng, Weihua
34 Qiao, Zhonghua
34 Quarteroni, Alfio M.
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