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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: http://link.springer.com/journal/volumesAndIssues/10915
Comments: Indexed cover-to-cover
Documents Indexed: 3,420 Publications (since 1986)
References Indexed: 3,159 Publications with 108,885 References.
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...and 165 more Volumes
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Authors

43 Shu, Chi-Wang
38 Zhang, Zhimin
29 Orszag, Steven Alan
29 Osher, Stanley Joel
26 Cockburn, Bernardo
25 Gelb, Anne
25 Qiu, Jianxian
21 Gottlieb, Sigal
21 Nordström, Jan
20 Xu, Yan
19 Kirby, Robert M. II
19 Kopriva, David Alan
18 Gassner, Gregor J.
18 Kang, Myungjoo
18 Wang, Cheng
17 Guo, Ben-Yu
17 Hesthaven, Jan S.
17 Huang, Yunqing
17 Jameson, Antony
17 Shen, Jie
16 He, Yinnian
16 Li, Fengyan
15 Karageorghis, Andreas
15 Ryan, Jennifer K.
15 Yin, Wotao
14 Abgrall, Rémi
14 Don, Wai Sun
14 Feng, Xinlong
14 Li, Ruo
14 Liu, Steve Wenbin
14 Wang, Hong
13 Chen, Long
13 Chen, Yanping
13 Feng, Xiaobing
13 Gao, Zhen
13 Qiu, Jingmei
13 Rui, Hongxing
13 Tang, Tao
12 Gottlieb, David I.
12 Lui, Lok Ming
12 Sun, Zhizhong
12 Xing, Yulong
11 Brenner, Susanne Cecelia
11 Dawson, Clint N.
11 Deng, Weihua
11 Dumbser, Michael
11 Glowinski, Roland
11 Gustafsson, Bertil
11 Jung, Jae-Hun
11 Kurganov, Alexander
11 Li, Jichun
11 Mattsson, Ken
11 Pani, Amiya Kumar
11 Rozza, Gianluigi
11 Wang, Lilian
11 Zhang, Qiang
11 Zhang, Yongtao
10 Antonietti, Paola Francesca
10 Baccouch, Mahboub
10 Boyd, John Philip
10 Cheng, Yingda
10 Deville, Michel O.
10 Ditkowski, Adi
10 Fernández-Nieto, Enrique Domingo
10 Fischer, Paul F.
10 Fu, Guosheng
10 Guzmán, Johnny
10 Houston, Paul
10 Hu, Jun
10 Huang, Ting-Zhu
10 Ketcheson, David I.
10 Ng, Michael Kwok-Po
10 Parés Madroñal, Carlos
10 Qian, Jianliang
10 Sjogreen, Bjorn
10 Succi, Sauro
10 Tai, Xuecheng
10 Temam, Roger Meyer
10 Wang, Zhongqing
10 Zeng, Tie Yong
9 Chen, Minghua
9 Chen, Wenbin
9 Chertock, Alina E.
9 Christlieb, Andrew J.
9 Chung, Tsz Shun Eric
9 Ha, Youngsoo
9 Higueras, Inmaculada
9 Ju, Lili
9 Kao, Chiu-Yen
9 Kreiss, Gunilla
9 Leung, Shingyu
9 Quarteroni, Alfio M.
9 Ruuth, Steven J.
9 Schötzau, Dominik
9 Stynes, Martin
9 Tsynkov, Semyon V.
9 Turkel, Eli L.
9 Xia, Yinhua
9 Yang, Xiaofeng
9 Zingg, David W.
...and 4,545 more Authors
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Fields

2,891 Numerical analysis (65-XX)
1,434 Partial differential equations (35-XX)
1,039 Fluid mechanics (76-XX)
164 Calculus of variations and optimal control; optimization (49-XX)
150 Mechanics of deformable solids (74-XX)
146 Optics, electromagnetic theory (78-XX)
131 Operations research, mathematical programming (90-XX)
117 Computer science (68-XX)
102 Information and communication theory, circuits (94-XX)
96 Ordinary differential equations (34-XX)
92 Statistical mechanics, structure of matter (82-XX)
88 Approximations and expansions (41-XX)
73 Linear and multilinear algebra; matrix theory (15-XX)
72 Biology and other natural sciences (92-XX)
71 Probability theory and stochastic processes (60-XX)
68 Classical thermodynamics, heat transfer (80-XX)
63 Integral equations (45-XX)
61 Real functions (26-XX)
51 Geophysics (86-XX)
40 Harmonic analysis on Euclidean spaces (42-XX)
40 Systems theory; control (93-XX)
35 Operator theory (47-XX)
32 Statistics (62-XX)
31 Special functions (33-XX)
30 Dynamical systems and ergodic theory (37-XX)
26 Quantum theory (81-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Global analysis, analysis on manifolds (58-XX)
17 Potential theory (31-XX)
13 Functions of a complex variable (30-XX)
13 Astronomy and astrophysics (85-XX)
11 General and overarching topics; collections (00-XX)
11 Functional analysis (46-XX)
9 Integral transforms, operational calculus (44-XX)
8 Mechanics of particles and systems (70-XX)
6 Relativity and gravitational theory (83-XX)
5 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Convex and discrete geometry (52-XX)
4 Differential geometry (53-XX)
2 Difference and functional equations (39-XX)
2 General topology (54-XX)
1 Number theory (11-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)

Publications by Year

Citations contained in zbMATH Open

2,726 Publications have been cited 30,607 times in 18,130 Documents Cited by Year
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
683
2001
Spectral methods on triangles and other domains. Zbl 0742.76059
Dubiner, Moshe
232
1991
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
211
2005
Aerodynamic design via control theory. Zbl 0676.76055
Jameson, Antony
199
1988
Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040
Yakhot, Victor; Orszag, Steven A.
198
1986
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
185
2000
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
162
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
148
2005
On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036
Deng, Wei; Yin, Wotao
128
2016
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
117
2009
Boundary conditions for incompressible flows. Zbl 0648.76023
Orszag, Steven A.; Israeli, Moshe; Deville, Michel O.
115
1986
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
110
2010
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
108
2011
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
107
2011
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
104
2007
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
101
2012
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
98
2019
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
97
2011
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
97
2015
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
93
2003
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
90
2002
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
89
1988
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
87
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.
85
2012
Spectral difference method for unstructured grids. II. Extension to the Euler equations. Zbl 1151.76543
Wang, Z. J.; Liu, Yen; May, Georg; Jameson, Antony
85
2007
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.
85
1990
Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032
Ding, Weiyang; Wei, Yimin
84
2016
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
84
2006
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
81
2005
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
79
2003
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
79
2013
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
77
1991
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.
77
2006
Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269
Kopriva, David A.
76
2006
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
75
2003
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
74
2007
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
72
2010
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
71
2003
Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044
Goldstein, Tom; Bresson, Xavier; Osher, Stanley
71
2010
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
71
2015
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
70
2006
Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055
Mattsson, Ken
69
2012
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
69
2002
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
69
2012
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.
67
2004
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
67
2017
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
66
2014
A fully automatic \(hp\)-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
66
2002
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
65
2005
On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199
Kopriva, David A.; Gassner, Gregor
65
2010
A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028
Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E.
65
2014
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
62
1990
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
61
2004
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
61
2006
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
Constantinescu, Emil M.; Sandu, Adrian
61
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.
61
2014
\(hp\)-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.
60
2007
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
59
2010
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
59
2010
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
59
2015
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
58
2003
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
58
2005
Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
58
2017
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
57
2016
Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091
Després, Bruno; Lagoutière, Frédéric
57
2001
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
57
2002
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
55
2005
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
55
2008
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
55
2012
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
55
2011
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
54
2007
A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382
Adams, Scot; Cockburn, Bernardo
54
2005
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231
Hidalgo, Arturo; Dumbser, Michael
53
2011
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
53
2010
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
53
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
53
2017
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
52
2000
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
52
2007
Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065
Pan, Hao; Rui, Hongxing
51
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
51
2017
Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055
Rønquist, Einar M.; Patera, Anthony T.
50
1987
Hybrid multigrid/Schwarz algorithms for the spectral element method. Zbl 1078.65570
Lottes, James W.; Fischer, Paul F.
50
2005
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
50
2015
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.
50
2015
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.
50
2017
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
50
2013
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
49
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
49
2015
A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153
Chen, Long; Wang, Junping; Ye, Xiu
49
2014
A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Zbl 1014.65115
Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel
49
2002
Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. Zbl 1297.76126
Gottlieb, Sigal; Wang, Cheng
48
2012
A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
48
2014
On the non-linear stability of flux reconstruction schemes. Zbl 1457.65116
Jameson, A.; Vincent, P. E.; Castonguay, P.
48
2012
On the stability and accuracy of the spectral difference method. Zbl 1203.65132
Den Abeele, Kris Van; Lacor, Chris; Wang, Z. J.
47
2008
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
47
2009
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. Zbl 1282.76134
Xing, Yulong; Zhang, Xiangxiong
47
2013
On coordinate transformations for summation-by-parts operators. Zbl 1057.65054
Svärd, M.
46
2004
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
46
2015
Adapted BDF algorithms: Higher-order methods and their stability. Zbl 1125.65067
Martín-Vaquero, J.; Vigo-Aguiar, J.
46
2007
A new class of high-order energy stable flux reconstruction schemes for triangular elements. Zbl 1457.65101
Castonguay, P.; Vincent, P. E.; Jameson, A.
46
2012
Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems. Zbl 07435303
Ogwo, G. N.; Izuchukwu, C.; Shehu, Y.; Mewomo, O. T.
4
2022
Subgradient extragradient method with double inertial steps for variational inequalities. Zbl 07458297
Yao, Yonghong; Iyiola, Olaniyi S.; Shehu, Yekini
4
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
3
2022
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.
2
2022
An immersed Raviart-Thomas mixed finite element method for elliptic interface problems on unfitted meshes. Zbl 1490.65278
Ji, Haifeng
2
2022
Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 07435302
Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong
2
2022
Accelerated information gradient flow. Zbl 1484.90059
Wang, Yifei; Li, Wuchen
2
2022
Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations. Zbl 1483.90161
Waziri, Mohammed Yusuf; Ahmed, Kabiru
2
2022
A virtual element method for the wave equation on curved edges in two dimensions. Zbl 1489.65139
Dassi, Franco; Fumagalli, Alessio; Mazzieri, Ilario; Scotti, Anna; Vacca, Giuseppe
2
2022
Parallel-in-time high-order multiderivative IMEX solvers. Zbl 1481.65105
Schütz, Jochen; Seal, David C.; Zeifang, Jonas
2
2022
An efficient low-dissipation high-order TENO scheme for MHD flows. Zbl 07454837
Fu, Lin
2
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
2
2022
Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations. Zbl 07458302
Yang, Jiang; Yuan, Zhaoming; Zhou, Zhi
2
2022
Staggered DG method with small edges for Darcy flows in fractured porous media. Zbl 07477390
Zhao, Lina; Kim, Dohyun; Park, Eun-Jae; Chung, Eric
1
2022
Optimal convergence and long-time conservation of exponential integration for Schrödinger equations in a normal or highly oscillatory regime. Zbl 07488706
Wang, Bin; Jiang, Yaolin
1
2022
Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws. Zbl 1486.65098
Chouchoulis, Jeremy; Schütz, Jochen; Zeifang, Jonas
1
2022
A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density. Zbl 1484.65225
Li, Buyang; Qiu, Weifeng; Yang, Zongze
1
2022
A local curvature based adaptive particle level set method. Zbl 07488713
Wang, Cheng; Wang, Wanli; Pan, Shucheng; Zhao, Fuyu
1
2022
Entropy stable flux correction for scalar hyperbolic conservation laws. Zbl 1486.65110
Kivva, Sergii
1
2022
Local error estimates for Runge-Kutta discontinuous Galerkin methods with upwind-biased numerical fluxes for a linear hyperbolic equation in one-dimension with discontinuous initial data. Zbl 1491.65103
Xu, Yuan; Zhao, Di; Zhang, Qiang
1
2022
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
1
2022
An efficient jet marcher for computing the quasipotential for 2D SDEs. Enhancing accuracy and efficiency of quasipotential solvers. Zbl 1491.60106
Paskal, Nicholas; Cameron, Maria
1
2022
Convergence rates of monotone schemes for conservation laws for data with unbounded total variation. Zbl 07543420
Fjordholm, Ulrik Skre; Lye, Kjetil Olsen
1
2022
Convergence analysis of the fully discrete hybridizable discontinuous Galerkin method for the Allen-Cahn equation based on the invariant energy quadratization approach. Zbl 1490.65286
Wang, Jiangxing; Pan, Kejia; Yang, Xiaofeng
1
2022
Cubic regularized Newton method for the saddle point models: a global and local convergence analysis. Zbl 1489.90115
Huang, Kevin; Zhang, Junyu; Zhang, Shuzhong
1
2022
Spectral coarse spaces for the substructured parallel Schwarz method. Zbl 1490.65303
Ciaramella, Gabriele; Vanzan, Tommaso
1
2022
Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. Zbl 07547969
Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander
1
2022
Tensor completion via fully-connected tensor network decomposition with regularized factors. Zbl 07547975
Zheng, Yu-Bang; Huang, Ting-Zhu; Zhao, Xi-Le; Zhao, Qibin
1
2022
Primal hybrid method for quasilinear parabolic problems. Zbl 1490.65209
Shokeen, Ravina; Patel, Ajit; Pani, Amiya K.
1
2022
The Arrow-Hurwicz iterative finite element method for the stationary thermally coupled incompressible magnetohydrodynamics flow. Zbl 07549323
Keram, Aytura; Huang, Pengzhan
1
2022
Adaptive quasi-Monte Carlo finite element methods for parametric elliptic PDEs. Zbl 07549607
Longo, Marcello
1
2022
An asymptotic-preserving IMEX method for nonlinear radiative transfer equation. Zbl 07549615
Fu, Jinxue; Li, Weiming; Song, Peng; Wang, Yanli
1
2022
A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. Zbl 07550024
Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming
1
2022
A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems. Zbl 1490.65193
Futai, Kouta; Kolbe, Niklas; Notsu, Hirofumi; Suzuki, Tasuku
1
2022
A three-dimensional continuum simulation method for grain boundary motion incorporating dislocation structure. Zbl 07435296
Qin, Xiaoxue; Zhang, Luchan; Xiang, Yang
1
2022
On the asymptotic convergence and acceleration of gradient methods. Zbl 1481.90309
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao
1
2022
Free-boundary conformal parameterization of point clouds. Zbl 1483.65032
Choi, Gary P. T.; Liu, Yechen; Lui, Lok Ming
1
2022
A parallel-in-time implementation of the Numerov method for wave equations. Zbl 1483.65056
Sun, Yafei; Wu, Shu-Lin; Xu, Yingxiang
1
2022
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
1
2022
Error analysis of a decoupled finite element method for quad-curl problems. Zbl 1479.65026
Cao, Shuhao; Chen, Long; Huang, Xuehai
1
2022
Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications. Zbl 1484.65110
Meli, Enrico; Morini, Benedetta; Porcelli, Margherita; Sgattoni, Cristina
1
2022
On the application of stable generalized finite element method for quasilinear elliptic two-point BVP. Zbl 07444778
Aryeni, T.; Deng, Q.; Ginting, V.
1
2022
A class of positive semi-discrete Lagrangian-Eulerian schemes for multidimensional systems of hyperbolic conservation laws. Zbl 07454822
Abreu, Eduardo; François, Jean; Lambert, Wanderson; Pérez, John
1
2022
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.
1
2022
A new local and parallel finite element method for the coupled Stokes-Darcy model. Zbl 07454825
Du, Guangzhi; Zuo, Liyun; Zhang, Yuhong
1
2022
\(\beta\)-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
1
2022
A compact subcell WENO limiting strategy using immediate neighbors for Runge-Kutta discontinuous Galerkin methods for unstructured meshes. Zbl 07454830
Kochi, S. R. Siva Prasad; Ramakrishna, M.
1
2022
A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach. Zbl 1481.65131
Hou, Dianming; Xu, Chuanju
1
2022
Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. Zbl 1481.65060
Reichel, Lothar; Ugwu, Ugochukwu O.
1
2022
The operator-splitting method for Cahn-Hilliard is stable. Zbl 07454945
Li, Dong; Quan, Chaoyu
1
2022
Tailored finite point method for diffusion equations with interfaces on distorted meshes. Zbl 07454948
Tang, Min; Chang, Lina; Wang, Yihong
1
2022
High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation. Zbl 1481.65134
Jiang, Chaolong; Cui, Jin; Qian, Xu; Song, Songhe
1
2022
Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model. Zbl 07568372
Liao, Hong-lin; Ji, Bingquan; Wang, Lin; Zhang, Zhimin
1
2022
Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations. Zbl 07568386
Ju, Lili; Li, Xiao; Qiao, Zhonghua
1
2022
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
1
2022
Solving the Kolmogorov PDE by means of deep learning. Zbl 1490.65006
Beck, Christian; Becker, Sebastian; Grohs, Philipp; Jaafari, Nor; Jentzen, Arnulf
16
2021
An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels. Zbl 1473.65219
Yuan, Maoqin; Chen, Wenbin; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
14
2021
Inertial-type algorithm for solving split common fixed point problems in Banach spaces. Zbl 07301290
Taiwo, A.; Jolaoso, L. O.; Mewomo, O. T.
14
2021
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
13
2021
On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060
Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey
13
2021
A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation. Zbl 07384719
Wang, Min; Huang, Qiumei; Wang, Cheng
11
2021
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. Zbl 1465.65154
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
10
2021
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 07384714
Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya
10
2021
Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems. Zbl 1471.35277
Liu, Hailiang; Maimaitiyiming, Wumaier
7
2021
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Zbl 1476.65178
Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong
7
2021
IDENT: identifying differential equations with numerical time evolution. Zbl 1467.65102
Kang, Sung Ha; Liao, Wenjing; Liu, Yingjie
7
2021
Implicit multirate GARK methods. Zbl 1471.65084
Roberts, Steven; Loffeld, John; Sarshar, Arash; Woodward, Carol S.; Sandu, Adrian
6
2021
Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. Zbl 1475.65065
Carrillo, H.; Parés, C.; Zorío, D.
5
2021
Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248
Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane
5
2021
Relaxed forward-backward splitting methods for solving variational inclusions and applications. Zbl 1490.65100
Cholamjiak, Prasit; Van Hieu, Dang; Cho, Yeol Je
5
2021
Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation. Zbl 07394066
Dehghan, Mehdi; Gharibi, Zeinab
5
2021
The unified theory of shifted convolution quadrature for fractional calculus. Zbl 07395830
Liu, Yang; Yin, Baoli; Li, Hong; Zhang, Zhimin
5
2021
Strong convergence of self-adaptive inertial algorithms for solving split variational inclusion problems with applications. Zbl 1472.65064
Tan, Bing; Qin, Xiaolong; Yao, Jen-Chih
4
2021
Accurate computations with collocation and Wronskian matrices of Jacobi polynomials. Zbl 1468.65034
Mainar, E.; Peña, J. M.; Rubio, B.
4
2021
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. Zbl 1476.65226
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
4
2021
A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. Zbl 1476.65244
Luo, Dongmi; Qiu, Jianxian; Zhu, Jun; Chen, Yibing
4
2021
The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations. Zbl 1477.65176
Li, Yetong; Zhao, Tengjin; Zhang, Zhiyue; Wang, Tongke
4
2021
A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps. Zbl 1468.76055
Zhao, Yong-Liang; Gu, Xian-Ming; Ostermann, Alexander
4
2021
Numerical solution of the parametric diffusion equation by deep neural networks. Zbl 1473.35331
Geist, Moritz; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold; Kutyniok, Gitta
4
2021
A virtual element method for the Steklov eigenvalue problem allowing small edges. Zbl 1479.35677
Lepe, Felipe; Mora, David; Rivera, Gonzalo; Velásquez, Iván
4
2021
Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes. Zbl 07389357
Li, Qi; Mei, Liquan
4
2021
A high order compact FD framework for elliptic BVPs involving singular sources, interfaces, and irregular domains. Zbl 1480.65315
Pan, Kejia; He, Dongdong; Li, Zhilin
4
2021
DeC and ADER: similarities, differences and a unified framework. Zbl 1459.76086
Han Veiga, Maria; Öffner, Philipp; Torlo, Davide
4
2021
Mortar-based entropy-stable discontinuous Galerkin methods on non-conforming quadrilateral and hexahedral meshes. Zbl 07431329
Chan, Jesse; Bencomo, Mario J.; Del Rey Fernández, David C.
4
2021
The BDF3/EP3 scheme for MBE with no slope selection is stable. Zbl 07408888
Li, Dong; Quan, Chaoyu; Yang, Wen
3
2021
Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines. Zbl 1486.65273
Fabiani, Gianluca; Calabrò, Francesco; Russo, Lucia; Siettos, Constantinos
3
2021
An efficient iterative method for reconstructing surface from point clouds. Zbl 1471.49002
Wang, Dong
3
2021
Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data. Zbl 1467.65006
Cavoretto, Roberto
3
2021
Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws. Zbl 1465.65087
Wibisono, Indra; Yanuar; Kosasih, Engkos A.
3
2021
On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions. Zbl 1475.65063
Balashov, Vladislav; Zlotnik, Alexander
3
2021
Weak convergence rates for an explicit full-discretization of stochastic Allen-Cahn equation with additive noise. Zbl 1477.65165
Cai, Meng; Gan, Siqing; Wang, Xiaojie
3
2021
A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics. Zbl 1475.65091
Gaburro, Elena; Dumbser, Michael
3
2021
The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations. Zbl 1480.65237
Le, Thuy T.; Nguyen, Loc H.; Nguyen, Thi-Phong; Powell, William
3
2021
Matrix equation techniques for certain evolutionary partial differential equations. Zbl 1470.65069
Palitta, Davide
3
2021
Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps. Zbl 1476.65317
Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan
3
2021
A robust high order alternative WENO scheme for the five-equation model. Zbl 1467.76037
Gu, Yaguang; Gao, Zhen; Hu, Guanghui; Li, Peng; Wang, Lifeng
3
2021
Convergence and supercloseness in a balanced norm of finite element methods on Bakhvalov-type meshes for reaction-diffusion problems. Zbl 1477.65250
Zhang, Jin; Liu, Xiaowei
3
2021
A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes. Zbl 07389348
Duru, Kenneth; Rannabauer, Leonhard; Gabriel, Alice-Agnes; Igel, Heiner
3
2021
Two \(L1\) schemes on graded meshes for fractional Feynman-Kac equation. Zbl 07389355
Chen, Minghua; Jiang, Suzhen; Bu, Weiping
3
2021
Registration-based model reduction in complex two-dimensional geometries. Zbl 07389376
Taddei, Tommaso; Zhang, Lei
3
2021
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Cited by 18,436 Authors

195 Shu, Chi-Wang
103 Dumbser, Michael
95 Huang, Yunqing
93 Dehghan Takht Fooladi, Mehdi
92 Nordström, Jan
90 Chen, Yanping
81 Zhang, Zhimin
74 Qiu, Jianxian
71 Cockburn, Bernardo
70 He, Yinnian
67 Wang, Cheng
66 Shi, Dongyang
60 Yang, Xiaofeng
59 Shen, Jie
56 Karniadakis, George Em
56 Li, Jichun
56 Rui, Hongxing
52 Zhang, Shangyou
51 Hesthaven, Jan S.
48 Feng, Xinlong
48 Karageorghis, Andreas
48 Wang, Hong
48 Xu, Yan
46 Gassner, Gregor J.
46 Kim, Junseok
46 Rozza, Gianluigi
44 Huang, Ting-Zhu
43 Abgrall, Rémi
43 Toro, Eleuterio F.
43 Ye, Xiu
42 Antonietti, Paola Francesca
41 Baccouch, Mahboub
41 Brenner, Susanne Cecelia
41 Temam, Roger Meyer
40 Munz, Claus-Dieter
40 Wise, Steven M.
39 Ju, Lili
39 Osher, Stanley Joel
39 Zhu, Jun
38 Chung, Tsz Shun Eric
38 Dawson, Clint N.
38 Gibou, Frédéric
38 Jameson, Antony
37 Bürger, Raimund
37 Guo, Ben-Yu
37 Liu, Hailiang
36 Abbaszadeh, Mostafa
36 Cheng, Yingda
36 Huang, Chengming
36 Kurganov, Alexander
36 Xing, Yulong
35 Balsara, Dinshaw S.
35 Boyd, John Philip
35 He, Xiaoming
35 Qiu, Jingmei
35 Simos, Theodore E.
35 Wang, Lilian
34 Gelb, Anne
34 Kirby, Robert M. II
34 Wu, Boying
33 Li, Ruo
33 Lowengrub, John Samuel
33 Mu, Lin
33 Russo, Giovanni
32 Boscheri, Walter
32 Hou, Yanren
32 Houston, Paul
32 Li, Hong
32 Ruiz-Baier, Ricardo
32 Sun, Zhizhong
32 Wang, Zhongqing
31 Li, Huiyuan
31 Li, Xiaoli
31 Liu, Yang
31 Vong, Seakweng
31 Yang, Yidu
31 Zhang, Mengping
31 Zheng, Xiangcheng
30 Deng, Weihua
30 Fu, Hongfei
30 Gunzburger, Max D.
30 Kang, Myungjoo
30 Mei, Liquan
30 Pan, Kejia
30 Sengupta, Tapan Kumar
30 Sun, Shuyu
30 Xia, Yinhua
29 Burman, Erik
29 Castro, Manuel J.
29 Chen, Wenbin
29 Don, Wai Sun
29 Gao, Zhen
29 Li, Dongfang
29 Liu, Fawang
29 Maday, Yvon
29 Mulet, Pep
29 Nelakanti, Gnaneshwar
29 Qian, Jianliang
29 Quarteroni, Alfio M.
29 Sherwin, Spencer J.
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2,495 Journal of Computational Physics
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