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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: 3,215 Publications (since 1986)
References Indexed: 2,954 Publications with 100,096 References.
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...and 158 more Volumes
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Authors

42 Shu, Chi-Wang
36 Zhang, Zhimin
29 Orszag, Steven Alan
28 Osher, Stanley Joel
26 Cockburn, Bernardo
24 Gelb, Anne
24 Qiu, Jianxian
21 Gottlieb, Sigal
21 Nordström, Jan
19 Kopriva, David Alan
18 Gassner, Gregor J.
18 Kang, Myungjoo
18 Xu, Yan
17 Guo, Ben-Yu
17 Hesthaven, Jan S.
17 Huang, Yunqing
17 Jameson, Antony
17 Shen, Jie
17 Wang, Cheng
16 Li, Fengyan
15 He, Yinnian
15 Karageorghis, Andreas
14 Abgrall, Rémi
14 Don, Wai Sun
14 Li, Ruo
14 Liu, Steve Wenbin
14 Ryan, Jennifer K.
13 Chen, Yanping
13 Feng, Xiaobing
13 Qiu, Jingmei
13 Rui, Hongxing
12 Chen, Long
12 Gao, Zhen
12 Gottlieb, David I.
12 Lui, Lok Ming
12 Sun, Zhizhong
12 Tang, Tao
12 Wang, Hong
12 Yin, Wotao
11 Dawson, Clint N.
11 Dumbser, Michael
11 Feng, Xinlong
11 Gustafsson, Bertil
11 Jung, Jae-Hun
11 Li, Jichun
11 Wang, Lilian
11 Zhang, Qiang
11 Zhang, Yongtao
10 Antonietti, Paola Francesca
10 Baccouch, Mahboub
10 Boyd, John Philip
10 Brenner, Susanne Cecelia
10 Cheng, Yingda
10 Deng, Weihua
10 Deville, Michel O.
10 Ditkowski, Adi
10 Fernández-Nieto, Enrique Domingo
10 Fischer, Paul F.
10 Houston, Paul
10 Hu, Jun
10 Kurganov, Alexander
10 Mattsson, Ken
10 Ng, Michael Kwok-Po
10 Pani, Amiya Kumar
10 Parés Madroñal, Carlos
10 Qian, Jianliang
10 Rozza, Gianluigi
10 Sjogreen, Bjorn
10 Succi, Sauro
10 Xing, Yulong
9 Chertock, Alina E.
9 Christlieb, Andrew J.
9 Fu, Guosheng
9 Guzmán, Johnny
9 Ha, Youngsoo
9 Higueras, Inmaculada
9 Kao, Chiu-Yen
9 Ketcheson, David I.
9 Leung, Shingyu
9 Quarteroni, Alfio M.
9 Schötzau, Dominik
9 Tai, Xuecheng
9 Temam, Roger Meyer
9 Tsynkov, Semyon V.
9 Turkel, Eli L.
9 Wang, Zhongqing
8 Chen, Wenbin
8 Chung, Tsz Shun Eric
8 Croisille, Jean-Pierre
8 Gao, Huadong
8 Glowinski, Roland
8 Guo, Wei
8 Huang, Ting-Zhu
8 Jackiewicz, Zdzislaw
8 Jung, Miyoun
8 Kreiss, Gunilla
8 Liu, Hailiang
8 Maday, Yvon
8 Min, Chohong
8 Mulet, Pep
...and 4,285 more Authors
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Fields

2,707 Numerical analysis (65-XX)
1,315 Partial differential equations (35-XX)
983 Fluid mechanics (76-XX)
150 Calculus of variations and optimal control; optimization (49-XX)
140 Optics, electromagnetic theory (78-XX)
132 Mechanics of deformable solids (74-XX)
114 Operations research, mathematical programming (90-XX)
97 Information and communication theory, circuits (94-XX)
96 Computer science (68-XX)
91 Statistical mechanics, structure of matter (82-XX)
90 Ordinary differential equations (34-XX)
84 Approximations and expansions (41-XX)
70 Biology and other natural sciences (92-XX)
66 Classical thermodynamics, heat transfer (80-XX)
65 Linear and multilinear algebra; matrix theory (15-XX)
64 Probability theory and stochastic processes (60-XX)
61 Integral equations (45-XX)
56 Real functions (26-XX)
45 Geophysics (86-XX)
39 Harmonic analysis on Euclidean spaces (42-XX)
34 Systems theory; control (93-XX)
30 Special functions (33-XX)
29 Operator theory (47-XX)
29 Statistics (62-XX)
27 Dynamical systems and ergodic theory (37-XX)
25 Quantum theory (81-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Global analysis, analysis on manifolds (58-XX)
15 Potential theory (31-XX)
12 Functions of a complex variable (30-XX)
12 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)
4 History and biography (01-XX)
4 Differential geometry (53-XX)
3 Combinatorics (05-XX)
3 Convex and discrete geometry (52-XX)
3 General topology (54-XX)
2 Difference and functional equations (39-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

2,582 Publications have been cited 28,366 times in 17,005 Documents Cited by Year
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
658
2001
Spectral methods on triangles and other domains. Zbl 0742.76059
Dubiner, Moshe
230
1991
Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040
Yakhot, Victor; Orszag, Steven A.
197
1986
Aerodynamic design via control theory. Zbl 0676.76055
Jameson, Antony
196
1988
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
195
2005
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
183
2000
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
155
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
139
2005
On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036
Deng, Wei; Yin, Wotao
125
2016
Boundary conditions for incompressible flows. Zbl 0648.76023
Orszag, Steven A.; Israeli, Moshe; Deville, Michel O.
114
1986
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
113
2009
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
106
2010
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
105
2011
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
105
2011
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
99
2007
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
94
2011
Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes. Zbl 1247.65131
Zhang, Xiangxiong; Xia, Yinhua; Shu, Chi-Wang
93
2012
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
92
2003
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
87
2019
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
86
2002
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
86
1988
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
85
2005
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
85
2015
An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. Zbl 0724.76070
Maday, Y.; Patera, Anthony T.; Rønquist, Einar M.
84
1990
Spectral difference method for unstructured grids. II. Extension to the Euler equations. Zbl 1151.76543
Wang, Z. J.; Liu, Yen; May, Georg; Jameson, Antony
83
2007
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
81
2006
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
79
2003
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
77
2005
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
77
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.
76
2006
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
75
2003
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
75
1991
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
73
2007
Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269
Kopriva, David A.
72
2006
Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032
Ding, Weiyang; Wei, Yimin
72
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.
69
2012
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
69
2003
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
69
2010
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
68
2012
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
68
2006
Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044
Goldstein, Tom; Bresson, Xavier; Osher, Stanley
68
2010
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
67
2002
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.
66
2004
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
66
2015
A fully automatic \(hp\)-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
64
2002
Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055
Mattsson, Ken
63
2012
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
61
1990
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
60
2006
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
60
2014
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
60
2005
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
60
2004
On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199
Kopriva, David A.; Gassner, Gregor
60
2010
A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028
Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E.
59
2014
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
59
2017
Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
57
2017
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
57
2005
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
57
2003
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
57
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.
56
2014
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
56
2002
\(hp\)-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.
56
2007
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
55
2010
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
Constantinescu, Emil M.; Sandu, Adrian
55
2007
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
53
2006
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
53
2007
Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091
Després, Bruno; Lagoutière, Frédéric
52
2001
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231
Hidalgo, Arturo; Dumbser, Michael
52
2011
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
52
2015
A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382
Adams, Scot; Cockburn, Bernardo
51
2005
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
51
2000
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
51
2010
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
50
2007
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
50
2011
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
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
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
49
2005
Hybrid multigrid/Schwarz algorithms for the spectral element method. Zbl 1078.65570
Lottes, James W.; Fischer, Paul F.
49
2005
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
49
2013
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.
49
2015
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
49
2012
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
49
2008
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
48
2002
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
48
2003
Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055
Rønquist, Einar M.; Patera, Anthony T.
48
1987
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
48
2017
Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065
Pan, Hao; Rui, Hongxing
47
2012
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
47
2015
On the non-linear stability of flux reconstruction schemes. Zbl 1457.65116
Jameson, A.; Vincent, P. E.; Castonguay, P.
46
2012
On the stability and accuracy of the spectral difference method. Zbl 1203.65132
Den Abeele, Kris Van; Lacor, Chris; Wang, Z. J.
46
2008
On coordinate transformations for summation-by-parts operators. Zbl 1057.65054
Svärd, M.
45
2004
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
45
2009
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
45
2015
A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. Zbl 1218.76027
Gassner, G.; Lörcher, F.; Munz, C.-D.
45
2008
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
45
2016
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063
Hou, Tianliang; Tang, Tao; Yang, Jiang
45
2017
A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153
Chen, Long; Wang, Junping; Ye, Xiu
44
2014
Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
44
2001
A new class of high-order energy stable flux reconstruction schemes for triangular elements. Zbl 1457.65101
Castonguay, P.; Vincent, P. E.; Jameson, A.
44
2012
General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128
Melenk, J. M.; Parsania, A.; Sauter, S.
44
2013
A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
43
2014
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
1
2022
Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems. Zbl 07435303
Ogwo, G. N.; Izuchukwu, C.; Shehu, Y.; Mewomo, O. T.
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
Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications. Zbl 07444775
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
Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations. Zbl 1483.90161
Waziri, Mohammed Yusuf; Ahmed, Kabiru
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
Parallel-in-time high-order multiderivative IMEX solvers. Zbl 1481.65105
Schütz, Jochen; Seal, David C.; Zeifang, Jonas
1
2022
The operator-splitting method for Cahn-Hilliard is stable. Zbl 07454945
Li, Dong; Quan, Chaoyu
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
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
1
2022
Subgradient extragradient method with double inertial steps for variational inequalities. Zbl 07458297
Yao, Yonghong; Iyiola, Olaniyi S.; Shehu, Yekini
1
2022
Entropy stable flux correction for scalar hyperbolic conservation laws. Zbl 07488720
Kivva, Sergii
1
2022
Inertial-type algorithm for solving split common fixed point problems in Banach spaces. Zbl 07301290
Taiwo, A.; Jolaoso, L. O.; Mewomo, O. T.
10
2021
Solving the Kolmogorov PDE by means of deep learning. Zbl 07389370
Beck, Christian; Becker, Sebastian; Grohs, Philipp; Jaafari, Nor; Jentzen, Arnulf
8
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
8
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
8
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
8
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
7
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
6
2021
IDENT: identifying differential equations with numerical time evolution. Zbl 1467.65102
Kang, Sung Ha; Liao, Wenjing; Liu, Yingjie
5
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
5
2021
Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems. Zbl 1471.35277
Liu, Hailiang; Maimaitiyiming, Wumaier
5
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
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
A virtual element method for the Steklov eigenvalue problem allowing small edges. Zbl 1479.35677
Lepe, Felipe; Mora, David; Rivera, Gonzalo; Velásquez, Iván
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
The unified theory of shifted convolution quadrature for fractional calculus. Zbl 07395830
Liu, Yang; Yin, Baoli; Li, Hong; Zhang, Zhimin
3
2021
Preconditioning techniques for the numerical solution of flow in fractured porous media. Zbl 1456.65139
Antonietti, Paola F.; De Ponti, Jacopo; Formaggia, Luca; Scotti, Anna
3
2021
DeC and ADER: similarities, differences and a unified framework. Zbl 1459.76086
Han Veiga, Maria; Öffner, Philipp; Torlo, Davide
3
2021
Implicit multirate GARK methods. Zbl 1471.65084
Roberts, Steven; Loffeld, John; Sarshar, Arash; Woodward, Carol S.; Sandu, Adrian
3
2021
Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling. Zbl 1466.65225
Lu, Chuan; Zhu, Xueyu
3
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
3
2021
Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. Zbl 1475.65065
Carrillo, H.; Parés, C.; Zorío, D.
3
2021
Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248
Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane
3
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
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 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
3
2021
Registration-based model reduction in complex two-dimensional geometries. Zbl 07389376
Taddei, Tommaso; Zhang, Lei
2
2021
Relaxed forward-backward splitting methods for solving variational inclusions and applications. Zbl 07389382
Cholamjiak, Prasit; Van Hieu, Dang; Cho, Yeol Je
2
2021
Mixed finite element method for a hemivariational inequality of stationary Navier-Stokes equations. Zbl 1477.65216
Han, Weimin; Czuprynski, Kenneth; Jing, Feifei
2
2021
An unfitted finite element method for two-phase Stokes problems with slip between phases. Zbl 07413659
Olshanskii, Maxim; Quaini, Annalisa; Sun, Qi
2
2021
A relaxed interior point method for low-rank semidefinite programming problems with applications to matrix completion. Zbl 1479.90152
Bellavia, Stefania; Gondzio, Jacek; Porcelli, Margherita
2
2021
The active flux scheme for nonlinear problems. Zbl 1457.65068
Barsukow, Wasilij
2
2021
A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms. Zbl 1456.65056
Abreu, E.; Matos, V.; Pérez, J.; Rodríguez-Bermúdez, P.
2
2021
Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems. Zbl 07384735
Bonaventura, Luca; Calzola, Elisa; Carlini, Elisabetta; Ferretti, Roberto
2
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
2
2021
A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. Zbl 1466.65099
Chen, Hao; Sun, Hai-Wei
2
2021
Adaptive HDG methods for the steady-state incompressible Navier-Stokes equations. Zbl 1471.65199
Leng, Haitao
2
2021
An efficient iterative method for reconstructing surface from point clouds. Zbl 1471.49002
Wang, Dong
2
2021
Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws. Zbl 1465.65087
Wibisono, Indra; Yanuar; Kosasih, Engkos A.
2
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
2
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
2
2021
Topology-preserving 3D image segmentation based on hyperelastic regularization. Zbl 1470.94027
Zhang, Daoping; Lui, Lok Ming
2
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
2
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
2
2021
Matrix equation techniques for certain evolutionary partial differential equations. Zbl 1470.65069
Palitta, Davide
2
2021
A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations. Zbl 1481.65151
Qin, Hongyu; Li, Dongfang; Zhang, Zhimin
2
2021
Operator inference of non-Markovian terms for learning reduced models from partially observed state trajectories. Zbl 1470.93035
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin
1
2021
Variance-based subgradient extragradient method for stochastic variational inequality problems. Zbl 07388743
Yang, Zhen-Ping; Zhang, Jin; Wang, Yuliang; Lin, Gui-Hua
1
2021
Coupled iterative analysis for stationary inductionless magnetohydrodynamic system based on charge-conservative finite element method. Zbl 07389336
Zhang, Xiaodi; Ding, Qianqian
1
2021
An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation. Zbl 1476.90318
Zhu, Hong; Ng, Michael K.; Song, Guang-Jing
1
2021
Sensitivity parameter-independent characteristic-wise well-balanced finite volume WENO scheme for the Euler equations under gravitational fields. Zbl 07389344
Li, Peng; Wang, Bao-Shan; Don, Wai-Sun
1
2021
A second-order fast Huygens sweeping method for time-dependent Schrödinger equations with perfectly matched layers. Zbl 07389346
Gao, Yijin; Mayfield, Jay; Luo, Songting
1
2021
Generalized continuation Newton methods and the trust-region updating strategy for the underdetermined system. Zbl 07389353
Luo, Xin-long; Xiao, Hang
1
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
1
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
1
2021
Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis. Zbl 07389366
Deng, Beichuan; Shen, Jie; Zhuang, Qingqu
1
2021
FDTD schemes for Maxwell’s equations with embedded perfect electric conductors based on the correction function method. Zbl 1479.35852
Law, Yann-Meing; Nave, Jean-Christophe
1
2021
A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation. Zbl 07389371
Qi, Longzhao; Hou, Yanren
1
2021
Last-passage Monte Carlo algorithm for charge density on a conducting spherical surface. Zbl 07389379
Yu, Unjong; Lee, Young-Min; Hwang, Chi-Ok
1
2021
Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation. Zbl 07394066
Dehghan, Mehdi; Gharibi, Zeinab
1
2021
Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation. Zbl 1480.65247
Benedusi, Pietro; Ferrari, Paola; Garoni, Carlo; Krause, Rolf; Serra-Capizzano, Stefano
1
2021
Pseudospectral roaming contour integral methods for convection-diffusion equations. Zbl 07395834
Guglielmi, Nicola; López-Fernández, María; Manucci, Mattia
1
2021
Single pass computation of first seismic wave travel time in three dimensional heterogeneous media with general anisotropy. Zbl 07395835
Desquilbet, François; Cao, Jian; Cupillard, Paul; Métivier, Ludovic; Mirebeau, Jean-Marie
1
2021
Inverses of SBP-SAT finite difference operators approximating the first and second derivative. Zbl 07408885
Eriksson, Sofia
1
2021
The BDF3/EP3 scheme for MBE with no slope selection is stable. Zbl 07408888
Li, Dong; Quan, Chaoyu; Yang, Wen
1
2021
Singularly perturbed reaction-diffusion problems as first order systems. Zbl 07413656
Franz, Sebastian
1
2021
Accurate boundary treatment for Riesz space fractional diffusion equations. Zbl 07413660
Tang, Shaoqiang; Pang, Gang
1
2021
Efficient spectral methods for quasi-equilibrium closure approximations of symmetric problems on unit circle and sphere. Zbl 07413661
Jiang, Shan; Yu, Haijun
1
2021
Parallel algorithms for successive convolution. Zbl 1458.65122
Christlieb, Andrew J.; Guthrey, Pierson T.; Sands, William A.; Thavappiragasm, Mathialakan
1
2021
FFT-based high order central difference schemes for Poisson’s equation with staggered boundaries. Zbl 1456.65140
Feng, Hongsong; Long, Guangqing; Zhao, Shan
1
2021
Stability and error estimate of the operator splitting method for the phase field crystal equation. Zbl 1456.65136
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; He, Yinnian
1
2021
Exact splitting methods for kinetic and Schrödinger equations. Zbl 1459.35341
Bernier, Joackim; Crouseilles, Nicolas; Li, Yingzhe
1
2021
Complexity of proximal augmented Lagrangian for nonconvex optimization with nonlinear equality constraints. Zbl 07316869
Xie, Yue; Wright, Stephen J.
1
2021
Locking-free and gradient-robust \(H(\operatorname{div})\)-conforming HDG methods for linear elasticity. Zbl 1460.65146
Fu, Guosheng; Lehrenfeld, Christoph; Linke, Alexander; Streckenbach, Timo
1
2021
Extremal rearrangement problems involving Poisson’s equation with Robin boundary conditions. Zbl 1462.35422
Kao, Chiu-Yen; Mohammadi, Seyyed Abbas
1
2021
Stable dynamical adaptive mesh refinement. Zbl 1459.76093
Lundquist, Tomas; Nordström, Jan; Malan, Arnaud
1
2021
Unconditional energy dissipation and error estimates of the SAV Fourier spectral method for nonlinear fractional generalized wave equation. Zbl 1480.35349
Wang, Nan; Li, Meng; Huang, Chengming
1
2021
Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach. Zbl 1480.35358
Li, Xin; Gong, Yuezheng; Zhang, Luming
1
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
1
2021
Smoothing strategy along with conjugate gradient algorithm for signal reconstruction. Zbl 1462.90143
Wu, Caiying; Wang, Jing; Alcantara, Jan Harold; Chen, Jein-Shan
1
2021
A linearized compact ADI scheme for semilinear parabolic problems with distributed delay. Zbl 1466.65076
Qin, Hongyu; Wu, Fengyan; Zhang, Jiwei; Mu, Chunlai
1
2021
Superconvergent flux recovery of the Rannacher-Turek nonconforming element. Zbl 1462.65195
Li, Yuwen
1
2021
Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data. Zbl 1467.65006
Cavoretto, Roberto
1
2021
Two dimensional analysis of hybrid spectral/finite difference schemes for linearized compressible Navier-Stokes equations. Zbl 1471.65165
Tan, Raynold; Ooi, Andrew; Sandberg, Richard D.
1
2021
Adaptive HDG methods for the Brinkman equations with application to optimal control. Zbl 1462.49055
Leng, Haitao; Chen, Huangxin
1
2021
Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers’ equation. Zbl 1468.35178
Zhang, Qifeng; Liu, Lingling
1
2021
Orthogonal dual graph-regularized nonnegative matrix factorization for co-clustering. Zbl 1466.62359
Tang, Jiayi; Wan, Zhong
1
2021
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186 Shu, Chi-Wang
101 Dumbser, Michael
89 Dehghan Takht Fooladi, Mehdi
89 Nordström, Jan
88 Huang, Yunqing
81 Chen, Yanping
76 Zhang, Zhimin
69 Cockburn, Bernardo
68 Qiu, Jianxian
66 He, Yinnian
65 Shi, Dongyang
62 Wang, Cheng
58 Shen, Jie
57 Yang, Xiaofeng
56 Karniadakis, George Em
55 Li, Jichun
52 Rui, Hongxing
50 Hesthaven, Jan S.
48 Karageorghis, Andreas
47 Wang, Hong
47 Zhang, Shangyou
46 Xu, Yan
45 Gassner, Gregor J.
43 Abgrall, Rémi
43 Feng, Xinlong
43 Toro, Eleuterio F.
42 Huang, Ting-Zhu
41 Brenner, Susanne Cecelia
40 Baccouch, Mahboub
40 Kim, Junseok
40 Munz, Claus-Dieter
40 Rozza, Gianluigi
40 Temam, Roger Meyer
40 Ye, Xiu
39 Antonietti, Paola Francesca
38 Jameson, Antony
38 Osher, Stanley Joel
37 Dawson, Clint N.
37 Guo, Ben-Yu
37 Liu, Hailiang
37 Wise, Steven M.
36 Bürger, Raimund
36 Cheng, Yingda
36 Chung, Tsz Shun Eric
36 Gibou, Frédéric
36 Ju, Lili
36 Zhu, Jun
35 Boyd, John Philip
35 Huang, Chengming
35 Wang, Lilian
34 Abbaszadeh, Mostafa
34 Balsara, Dinshaw S.
34 Wu, Boying
33 He, Xiaoming
33 Kurganov, Alexander
33 Lowengrub, John Samuel
33 Mu, Lin
32 Gelb, Anne
32 Li, Ruo
32 Qiu, Jingmei
32 Sun, Zhizhong
31 Hou, Yanren
31 Li, Huiyuan
31 Ruiz-Baier, Ricardo
31 Wang, Zhongqing
31 Xing, Yulong
31 Yang, Yidu
30 Gunzburger, Max D.
30 Houston, Paul
30 Sengupta, Tapan Kumar
30 Simos, Theodore E.
29 Castro, Manuel J.
29 Kang, Myungjoo
29 Maday, Yvon
29 Mei, Liquan
29 Qian, Jianliang
29 Sun, Shuyu
29 Vong, Seakweng
29 Zhang, Mengping
28 Boscheri, Walter
28 Deng, Weihua
28 Don, Wai Sun
28 Fu, Hongfei
28 Li, Hong
28 Li, Xiaoli
28 Mulet, Pep
28 Nelakanti, Gnaneshwar
28 Quarteroni, Alfio M.
28 Sherwin, Spencer J.
28 Shi, Baochang
28 Yang, Yang
28 Zheng, Xiangcheng
27 Chen, Wenbin
27 Gatica, Gabriel N.
27 Jackiewicz, Zdzislaw
27 Kopriva, David Alan
27 Pareschi, Lorenzo
27 Xu, Da
26 Burman, Erik
26 Christlieb, Andrew J.
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