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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: 3,911 Publications (since 1986)
References Indexed: 3,645 Publications with 130,654 References.
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...and 183 more Volumes
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Authors

44 Shu, Chi-Wang
44 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 Gassner, Gregor J.
19 Huang, Yunqing
19 Kirby, Robert M. II
19 Kopriva, David Alan
19 Shen, Jie
18 Jameson, Antony
18 Kang, Myungjoo
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 Qiu, Jingmei
14 Tang, Tao
13 Chen, Long
13 Chen, Wenbin
13 Chen, Yanping
13 Deng, Weihua
13 Feng, Xiaobing
13 Kurganov, Alexander
13 Li, Ruo
13 Wang, Lilian
13 Xing, Yulong
13 Zhang, Qiang
12 Gottlieb, David I.
12 Huang, Ting-Zhu
12 Ju, Lili
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 Jung, Jae-Hun
11 Ketcheson, David I.
11 Li, Jichun
11 Mattsson, Ken
11 Ruiz-Baier, Ricardo
11 Sun, Haiwei
11 Tai, Xuecheng
11 Wang, Zhongqing
11 Xia, Yinhua
11 Zeng, Tie Yong
11 Zhang, Yongtao
10 Antonietti, Paola Francesca
10 Baccouch, Mahboub
10 Boyd, John Philip
10 Cao, Waixiang
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 Houston, Paul
10 Leung, Shingyu
10 Parés Madroñal, Carlos
10 Qian, Jianliang
10 Quarteroni, Alfio M.
10 Sjogreen, Bjorn
10 Succi, Sauro
10 Sung, Li-Yeng
10 Temam, Roger Meyer
10 Xie, Hehu
10 Yang, Xiaofeng
10 Zhang, Jiwei
10 Zingg, David W.
9 Chertock, Alina E.
9 Fu, Hongfei
9 Gao, Huadong
...and 5,299 more Authors
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Fields

3,330 Numerical analysis (65-XX)
1,682 Partial differential equations (35-XX)
1,177 Fluid mechanics (76-XX)
199 Calculus of variations and optimal control; optimization (49-XX)
190 Mechanics of deformable solids (74-XX)
176 Operations research, mathematical programming (90-XX)
172 Computer science (68-XX)
163 Optics, electromagnetic theory (78-XX)
121 Information and communication theory, circuits (94-XX)
110 Statistical mechanics, structure of matter (82-XX)
104 Approximations and expansions (41-XX)
101 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)
79 Real functions (26-XX)
79 Classical thermodynamics, heat transfer (80-XX)
75 Integral equations (45-XX)
57 Geophysics (86-XX)
52 Operator theory (47-XX)
50 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)
30 Quantum theory (81-XX)
24 Global analysis, analysis on manifolds (58-XX)
22 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)
8 Mechanics of particles and systems (70-XX)
7 Combinatorics (05-XX)
7 Relativity and gravitational theory (83-XX)
6 Differential geometry (53-XX)
5 History and biography (01-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

3,196 Publications have been cited 41,907 times in 23,660 Documents Cited by Year
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
790
2001
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
274
2005
Spectral methods on triangles and other domains. Zbl 0742.76059
Dubiner, Moshe
256
1991
Aerodynamic design via control theory. Zbl 0676.76055
Jameson, Antony
241
1988
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
220
2002
Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040
Yakhot, Victor; Orszag, Steven A.
219
1986
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
208
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
182
2005
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
165
2019
On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036
Deng, Wei; Yin, Wotao
159
2016
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
154
2011
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
148
2007
Boundary conditions for incompressible flows. Zbl 0648.76023
Orszag, Steven A.; Israeli, Moshe; Deville, Michel O.
142
1986
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
141
2015
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
137
2009
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
134
2012
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
133
2011
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
132
2010
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
114
2003
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
112
2005
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.
112
2012
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
112
2011
Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032
Ding, Weiyang; Wei, Yimin
110
2016
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
109
2002
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
106
2014
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
105
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
99
2007
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
98
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
95
2015
Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269
Kopriva, David A.
95
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.
94
1990
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
93
2003
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
92
2006
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
90
2017
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
89
2003
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
89
1991
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
88
2010
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
88
2013
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
88
2007
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
87
2005
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.
86
2006
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063
Hou, Tianliang; Tang, Tao; Yang, Jiang
85
2017
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
85
2012
Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044
Goldstein, Tom; Bresson, Xavier; Osher, Stanley
82
2010
Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055
Mattsson, Ken
82
2012
Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
82
2017
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
81
2003
Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. Zbl 1297.76126
Gottlieb, Sigal; Wang, Cheng
81
2012
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
80
2016
A fully automatic \(hp\)-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
80
2002
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
80
2004
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
80
2006
Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem. Zbl 1419.65010
Chen, Hu; Stynes, Martin
79
2019
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
78
2010
A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028
Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E.
77
2014
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
77
2006
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
76
2002
On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199
Kopriva, David A.; Gassner, Gregor
76
2010
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.
75
2014
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
75
2006
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
75
2013
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
74
2019
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.
74
2004
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
74
1990
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
73
2015
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
72
2015
\(hp\)-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.
72
2007
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
71
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
70
2019
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
70
2011
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
Constantinescu, Emil M.; Sandu, Adrian
69
2007
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
69
2017
Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. Zbl 1335.65077
Semplice, M.; Coco, A.; Russo, G.
69
2016
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
68
2009
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
68
2010
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
68
2008
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.
68
2015
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
67
2003
Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065
Pan, Hao; Rui, Hongxing
67
2012
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
67
2007
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 new class of high-order energy stable flux reconstruction schemes for triangular elements. Zbl 1457.65101
Castonguay, P.; Vincent, P. E.; Jameson, A.
66
2012
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
66
2015
On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations. Zbl 1418.65149
E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
65
2019
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
65
2015
High order semi-implicit schemes for time dependent partial differential equations. Zbl 1353.65075
Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni
65
2016
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
65
2017
Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations. Zbl 1450.65078
Liao, Hong-lin; Yan, Yonggui; Zhang, Jiwei
64
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.
64
2017
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
64
2005
A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
63
2014
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
63
2012
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
62
2005
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231
Hidalgo, Arturo; Dumbser, Michael
62
2011
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
62
2007
Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations. Zbl 1397.65173
Li, Dongfang; Zhang, Jiwei; Zhang, Zhimin
62
2018
Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091
Després, Bruno; Lagoutière, Frédéric
61
2001
Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237
Cancès, Eric; Chakir, Rachida; Maday, Yvon
61
2010
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
60
2000
A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382
Adams, Scot; Cockburn, Bernardo
60
2005
Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system. Zbl 1517.35185
Tang, Yangyang; Zou, Guang-an; Li, Jian
8
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
7
2023
Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method. Zbl 07698834
Romor, Francesco; Stabile, Giovanni; Rozza, Gianluigi
6
2023
Eigenvalues of quaternion tensors with applications to color video processing. Zbl 1504.15023
He, Zhuo-Heng; Wang, Xiang-Xiang; Zhao, Yun-Fan
5
2023
An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows. Zbl 07682840
Hou, Dianming; Qiao, Zhonghua
5
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
5
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Large-scale Bayesian optimal experimental design with derivative-informed projected neural network. Zbl 1519.35348
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Generalised latent assimilation in heterogeneous reduced spaces with machine learning surrogate models. Zbl 07637331
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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
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4
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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
4
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Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations. Zbl 1529.65058
Carter, John; Han, Daozhi; Jiang, Nan
3
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Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations. Zbl 07698821
Jin, Shi; Ma, Zheng; Wu, Keke
3
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Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations. Zbl 07698831
Hu, Dongdong; Fu, Yayun; Cai, Wenjun; Wang, Yushun
3
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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
3
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A viscoelastic Timoshenko beam model: regularity and numerical approximation. Zbl 07698863
Li, Yiqun; Wang, Hong; Zheng, Xiangcheng
3
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The Cartesian grid active flux method with adaptive mesh refinement. Zbl 1516.65072
Calhoun, Donna; Chudzik, Erik; Helzel, Christiane
3
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Stability and interpolation properties for Stokes-like virtual element spaces. Zbl 1516.65137
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3
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New analysis of mixed finite element methods for incompressible magnetohydrodynamics. Zbl 1516.65132
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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
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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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Element-free Galerkin analysis of Stokes problems using the reproducing kernel gradient smoothing integration. Zbl 07708344
Li, Xiaolin
3
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A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion. Zbl 07766134
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3
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Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities. Zbl 07742008
Thomann, Andrea; Dumbser, Michael
2
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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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Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. Zbl 1505.76059
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2
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Rank properties and computational methods for orthogonal tensor decompositions. Zbl 1504.15087
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2
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A line search based proximal stochastic gradient algorithm with dynamical variance reduction. Zbl 1518.90104
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2
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Locking-free and locally-conservative enriched Galerkin method for poroelasticity. Zbl 1512.65212
Lee, Sanghyun; Yi, Son-Young
2
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The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models. Zbl 07682834
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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
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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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Numerical computation of partial differential equations by hidden-layer concatenated extreme learning machine. Zbl 1515.65046
Ni, Naxian; Dong, Suchuan
2
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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
2
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Goal-oriented sensitivity analysis of hyperparameters in deep learning. Zbl 07698881
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2
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On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation. Zbl 1518.65096
Zlotnik, Alexander; Čiegis, Raimondas
2
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Gradient robust mixed methods for nearly incompressible elasticity. Zbl 1516.65122
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2
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Convergence analysis of a new Bregman extragradient method for solving fixed point problems and variational inequality problems in reflexive Banach spaces. Zbl 07708320
Hu, Shaotao; Wang, Yuanheng; Dong, Qiao-Li
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
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A Ginzburg-Landau-\({H}^{-1}\) model and its SAV algorithm for image inpainting. Zbl 1522.65164
Bai, Xiangyu; Sun, Jiebao; Shen, Jie; Yao, Wenjuan; Guo, Zhichang
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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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 1529.74072
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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A modified Tseng splitting method with double inertial steps for solving monotone inclusion problems. Zbl 07730759
Wang, Zhong-bao; Lei, Zhen-yin; Long, Xin; Chen, Zhang-you
1
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An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model. Zbl 1522.65165
Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael
1
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A FEAST SVDsolver based on Chebyshev-Jackson series for computing partial singular triplets of large matrices. Zbl 1526.65013
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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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Efficient a posteriori error control of a concurrent multiscale method with sharp interface for crystalline defects. Zbl 1527.65132
Wang, Yangshuai; Wang, Hao
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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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Fast and accurate artificial compressibility ensemble algorithms for computing parameterized Stokes-Darcy flow ensembles. Zbl 1504.65205
Jiang, Nan; Yang, Huanhuan
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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Kernel-based methods for solving time-dependent advection-diffusion equations on manifolds. Zbl 1504.65007
Yan, Qile; Jiang, Shixiao W.; Harlim, John
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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Discontinuous Galerkin time stepping for semilinear parabolic problems with time constant delay. Zbl 1529.65090
Xu, Xiuxiu; Huang, Qiumei
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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An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit. Zbl 07777029
Arun, K. R.; Ghorai, Rahuldev; Kar, Mainak
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 1528.65029
Zhong, Min; Gia, Quoc Thong Le; Sloan, Ian Hugh
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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Data assimilation predictive GAN (DA-PredGAN) applied to a spatio-temporal compartmental model in epidemiology. Zbl 1510.68090
Silva, Vinicius L. S.; Heaney, Claire E.; Li, Yaqi; Pain, Christopher C.
1
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Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems. Zbl 07682802
Corallo, Daniele; Dörfler, Willy; Wieners, Christian
1
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An efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysis. Zbl 1518.65025
Kang, Hongchao; Wang, Hong
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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Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equations. Zbl 1512.65187
Zhang, Gengen; Jiang, Chaolong; Huang, Hao
1
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An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates. Zbl 1512.65255
Xie, Hehu; Xie, Manting; Yin, Xiaobo; Zhao, Gang
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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An interface/boundary-unfitted eXtended HDG method for linear elasticity problems. Zbl 07698825
Han, Yihui; Wang, Xiao-Ping; Xie, Xiaoping
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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Penalty-free any-order weak Galerkin FEMs for linear elasticity on quadrilateral meshes. Zbl 1516.65142
Wang, Ruishu; Wang, Zhuoran; Liu, Jiangguo
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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Truncated and sparse power methods with partially updating for large and sparse higher-order PageRank problems. Zbl 1515.65080
Huang, Jun; Wu, Gang
1
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Proximal quasi-Newton method for composite optimization over the Stiefel manifold. Zbl 1519.90233
Wang, Qinsi; Yang, Wei Hong
1
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Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. Zbl 1516.65107
Ling, Dan; Mao, Zhiping
1
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All-speed numerical methods for the Euler equations via a sequential explicit time integration. Zbl 07698859
Barsukow, Wasilij
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 1529.65135
Gu, Yiqi; Shen, Jie
1
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A fully-decoupled artificial compressible Crank-Nicolson-leapfrog time stepping scheme for the phase field model of two-phase incompressible flows. Zbl 1516.65098
Qian, Lingzhi; Wu, Chunya; Cai, Huiping; Feng, Xinlong; Qiao, Yuanyang
1
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Strong stability preserving multistep schemes for forward backward stochastic differential equations. Zbl 1516.65003
Fang, Shuixin; Zhao, Weidong; Zhou, Tao
1
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A reduced basis method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes. Zbl 1517.65102
Boon, Wietse M.; Fumagalli, Alessio
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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A HDG method for elliptic problems with integral boundary condition: theory and applications. Zbl 1516.65124
Bertoluzza, Silvia; Guidoboni, Giovanna; Hild, Romain; Prada, Daniele; Prud’homme, Christophe; Sacco, Riccardo; Sala, Lorenzo; Szopos, Marcela
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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Error analysis of fully discrete scheme for the Cahn-Hilliard-magneto-hydrodynamics problem. Zbl 1516.65099
Qiu, Hailong
1
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ReLU neural network Galerkin BEM. Zbl 07698915
Aylwin, Rubén; Henríquez, Fernando; Schwab, Christoph
1
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Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically. Zbl 07698916
Liu, Chein-Shan; Qiu, Lin
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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Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations. Zbl 1529.65126
Gatica, Gabriel N.; Núñez, Nicolás; Ruiz-Baier, Ricardo
1
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A corrected \(\mathrm{L}1\) method for a time-fractional subdiffusion equation. Zbl 07698945
Yang, Zheng; Zeng, Fanhai
1
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An efficient spectral-Galerkin method for elliptic equations in 2D complex geometries. Zbl 1516.65147
Wang, Zhongqing; Wen, Xian; Yao, Guoqing
1
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An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows. Zbl 1519.65039
Du, Jie; Liu, Yong; Yang, Yang
1
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Study on \(L_1\) over \(L_2\) Minimization for nonnegative signal recovery. Zbl 1519.90196
Tao, Min; Zhang, Xiao-Ping
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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Singly TASE operators for the numerical solution of stiff differential equations by explicit Runge-Kutta schemes. Zbl 07708318
Calvo, Manuel; Fu, Lin; Montijano, Juan I.; Rández, Luis
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 conforming virtual element method based on unfitted meshes for the elliptic interface problem. Zbl 1529.65132
Wang, Haimei; Wang, Feng; Chen, Jinru; Ji, Haifeng
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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220 Shu, Chi-Wang
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96 Shi, Dongyang
87 Yang, Xiaofeng
85 Qiu, Jianxian
83 He, Yinnian
75 Cockburn, Bernardo
75 Wang, Cheng
72 Kim, Junseok
72 Rui, Hongxing
71 Karniadakis, George Em
69 Feng, Xinlong
66 Hesthaven, Jan S.
66 Li, Jichun
66 Shen, Jie
65 Zhang, Shangyou
60 Abgrall, Rémi
60 Rozza, Gianluigi
60 Wang, Hong
59 Xu, Yan
58 Gassner, Gregor J.
54 Antonietti, Paola Francesca
54 Huang, Ting-Zhu
52 Zhu, Jun
51 Ju, Lili
51 Liu, Yang
51 Toro, Eleuterio Francisco
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50 Li, Hong
49 Karageorghis, Andreas
49 Kurganov, Alexander
49 Li, Meng
49 Wise, Steven M.
48 Li, Ruo
48 Osher, Stanley Joel
48 Zaky, Mahmoud A.
47 Baccouch, Mahboub
47 He, Xiaoming
47 Munz, Claus-Dieter
46 Gibou, Frédéric
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45 Brenner, Susanne Cecelia
45 Huang, Chengming
45 Ruiz-Baier, Ricardo
45 Yang, Junxiang
44 Boscheri, Walter
44 Xu, Da
43 Hou, Yanren
43 Simos, Theodore E.
43 Xia, Yinhua
43 Xing, Yulong
42 Boyd, John Philip
42 Chung, Tsz Shun Eric
42 Dawson, Clint N.
42 Jameson, Antony
42 Li, Dongfang
42 Liu, Fawang
42 Liu, Hailiang
42 Pan, Kejia
42 Sun, Haiwei
42 Sun, Zhizhong
41 Gelb, Anne
41 Kirby, Robert M. II
41 Mei, Liquan
41 Russo, Giovanni
41 Temam, Roger Meyer
41 Wang, Yushun
40 Balsara, Dinshaw S.
40 Gatica, Gabriel N.
40 Qiu, Jingmei
40 Wang, Lilian
40 Yang, Yidu
39 Bürger, Raimund
39 Chen, Wenbin
39 Cheng, Yingda
39 Vong, Seakweng
39 Wang, Zhijian
38 Chen, Chuanjun
38 Guo, Ben-Yu
38 Mewomo, Oluwatosin Temitope
38 Mu, Lin
38 Qiao, Zhonghua
38 Sun, Shuyu
38 Wu, Boying
37 Deng, Weihua
37 Fu, Hongfei
37 Gunzburger, Max D.
37 Li, Xiaoli
37 Lowengrub, John Samuel
37 Sengupta, Tapan Kumar
37 Song, Songhe
36 Don, Wai Sun
36 Hu, Guanghui
36 Lukáčová-Medviďová, Mária
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