×

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: 3,896 Publications (since 1986)
References Indexed: 3,630 Publications with 129,814 References.
all top 5

Latest Issues

99, No. 1 (2024)
98, No. 3 (2024)
98, No. 2 (2024)
98, No. 1 (2024)
97, No. 3 (2023)
97, No. 2 (2023)
97, No. 1 (2023)
96, No. 3 (2023)
96, No. 2 (2023)
96, No. 1 (2023)
95, No. 3 (2023)
95, No. 2 (2023)
95, No. 1 (2023)
94, No. 3 (2023)
94, No. 2 (2023)
94, No. 1 (2023)
93, No. 3 (2022)
93, No. 2 (2022)
93, No. 1 (2022)
92, No. 3 (2022)
92, No. 2 (2022)
92, No. 1 (2022)
91, No. 3 (2022)
91, No. 2 (2022)
91, No. 1 (2022)
90, No. 3 (2022)
90, No. 2 (2022)
90, No. 1 (2022)
89, No. 3 (2021)
89, No. 2 (2021)
89, No. 1 (2021)
88, No. 3 (2021)
88, No. 2 (2021)
88, No. 1 (2021)
87, No. 3 (2021)
87, No. 2 (2021)
87, No. 1 (2021)
86, No. 3 (2021)
86, No. 2 (2021)
86, No. 1 (2021)
85, No. 3 (2020)
85, No. 2 (2020)
85, No. 1 (2020)
84, No. 3 (2020)
84, No. 2 (2020)
84, No. 1 (2020)
83, No. 3 (2020)
83, No. 2 (2020)
83, No. 1 (2020)
82, No. 3 (2020)
82, No. 2 (2020)
82, No. 1 (2020)
81, No. 3 (2019)
81, No. 2 (2019)
81, No. 1 (2019)
80, No. 3 (2019)
80, No. 2 (2019)
80, No. 1 (2019)
79, No. 3 (2019)
79, No. 2 (2019)
79, No. 1 (2019)
78, No. 3 (2019)
78, No. 2 (2019)
78, No. 1 (2019)
77, No. 3 (2018)
77, No. 2 (2018)
77, No. 1 (2018)
76, No. 3 (2018)
76, No. 2 (2018)
76, No. 1 (2018)
75, No. 3 (2018)
75, No. 2 (2018)
75, No. 1 (2018)
74, No. 3 (2018)
74, No. 2 (2018)
74, No. 1 (2018)
73, No. 2-3 (2017)
73, No. 1 (2017)
72, No. 3 (2017)
72, No. 2 (2017)
72, No. 1 (2017)
71, No. 3 (2017)
71, No. 2 (2017)
71, No. 1 (2017)
70, No. 3 (2017)
70, No. 2 (2017)
70, No. 1 (2017)
69, No. 3 (2016)
69, No. 2 (2016)
69, No. 1 (2016)
68, No. 3 (2016)
68, No. 2 (2016)
68, No. 1 (2016)
67, No. 3 (2016)
67, No. 2 (2016)
67, No. 1 (2016)
66, No. 3 (2016)
66, No. 2 (2016)
66, No. 1 (2016)
65, No. 3 (2015)
...and 182 more Volumes
all top 5

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 Huang, Yunqing
19 Kirby, Robert M. II
19 Kopriva, David Alan
19 Shen, Jie
18 Gassner, Gregor J.
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 5,278 more Authors
all top 5

Fields

3,316 Numerical analysis (65-XX)
1,674 Partial differential equations (35-XX)
1,172 Fluid mechanics (76-XX)
195 Calculus of variations and optimal control; optimization (49-XX)
187 Mechanics of deformable solids (74-XX)
172 Computer science (68-XX)
172 Operations research, mathematical programming (90-XX)
162 Optics, electromagnetic theory (78-XX)
121 Information and communication theory, circuits (94-XX)
109 Statistical mechanics, structure of matter (82-XX)
102 Approximations and expansions (41-XX)
100 Linear and multilinear algebra; matrix theory (15-XX)
99 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)
78 Classical thermodynamics, heat transfer (80-XX)
74 Integral equations (45-XX)
57 Geophysics (86-XX)
52 Operator theory (47-XX)
49 Statistics (62-XX)
45 Harmonic analysis on Euclidean spaces (42-XX)
42 Systems theory; control (93-XX)
34 Special functions (33-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
31 Dynamical systems and ergodic theory (37-XX)
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

3,176 Publications have been cited 40,857 times in 23,127 Documents Cited by Year
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
776
2001
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
262
2005
Spectral methods on triangles and other domains. Zbl 0742.76059
Dubiner, Moshe
251
1991
Aerodynamic design via control theory. Zbl 0676.76055
Jameson, Antony
235
1988
Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040
Yakhot, Victor; Orszag, Steven A.
213
1986
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
209
2002
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
206
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
180
2005
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
162
2019
On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036
Deng, Wei; Yin, Wotao
155
2016
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
150
2011
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
144
2007
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
138
2015
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
134
2009
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
132
2010
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
131
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
130
2012
Boundary conditions for incompressible flows. Zbl 0648.76023
Orszag, Steven A.; Israeli, Moshe; Deville, Michel O.
129
1986
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
114
2003
A linear energy stable scheme for a thin film model without slope selection. Zbl 1326.76007
Chen, Wenbin; Conde, Sidafa; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
111
2012
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
110
2005
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
109
2011
Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032
Ding, Weiyang; Wei, Yimin
109
2016
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
105
2002
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
103
2014
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
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
97
1988
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
97
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
94
2015
Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269
Kopriva, David A.
92
2006
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
92
2006
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
91
2003
An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. Zbl 0724.76070
Maday, Y.; Patera, Anthony T.; Rønquist, Einar M.
90
1990
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
89
2017
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
88
2003
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
88
1991
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
88
2013
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
85
2010
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
85
2012
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
84
2007
Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032
Ainsworth, M.; Monk, P.; Muniz, W.
84
2006
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
84
2005
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063
Hou, Tianliang; Tang, Tao; Yang, Jiang
83
2017
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
81
2012
Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
80
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
80
2016
Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. Zbl 1297.76126
Gottlieb, Sigal; Wang, Cheng
80
2012
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
79
2003
A fully automatic \(hp\)-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
79
2002
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
77
2010
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
77
2006
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
77
2006
A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028
Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E.
76
2014
Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem. Zbl 1419.65010
Chen, Hu; Stynes, Martin
76
2019
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
75
2004
An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
75
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.
74
2004
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
74
1990
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.
74
2014
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
73
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
73
2013
\(hp\)-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
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
72
2019
On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199
Kopriva, David A.; Gassner, Gregor
71
2010
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
70
2011
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
70
2015
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
70
2002
Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows. Zbl 1397.76070
Han, Daozhi; Brylev, Alex; Yang, Xiaofeng; Tan, Zhijun
69
2017
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
69
2015
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
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
Constantinescu, Emil M.; Sandu, Adrian
68
2007
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
67
2010
Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. Zbl 1335.65077
Semplice, M.; Coco, A.; Russo, G.
67
2016
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
67
2019
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 level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
66
2003
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.
66
2015
Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065
Pan, Hao; Rui, Hongxing
66
2012
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
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
65
2015
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
64
2009
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
64
2005
A new class of high-order energy stable flux reconstruction schemes for triangular elements. Zbl 1457.65101
Castonguay, P.; Vincent, P. E.; Jameson, A.
64
2012
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
63
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.
63
2017
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
63
2012
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
63
2019
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
62
2007
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
62
2005
Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations. Zbl 1450.65078
Liao, Hong-lin; Yan, Yonggui; Zhang, Jiwei
62
2019
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231
Hidalgo, Arturo; Dumbser, Michael
61
2011
High order semi-implicit schemes for time dependent partial differential equations. Zbl 1353.65075
Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni
61
2016
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
61
2018
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
60
2007
Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237
Cancès, Eric; Chakir, Rachida; Maday, Yvon
60
2010
A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
60
2014
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. Zbl 1282.76134
Xing, Yulong; Zhang, Xiangxiong
60
2013
High-order numerical algorithms for Riesz derivatives via constructing new generating functions. Zbl 1398.65030
Ding, Hengfei; Li, Changpin
59
2017
Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091
Després, Bruno; Lagoutière, Frédéric
59
2001
Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system. Zbl 1517.35185
Tang, Yangyang; Zou, Guang-an; Li, Jian
7
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
6
2023
Large-scale Bayesian optimal experimental design with derivative-informed projected neural network. Zbl 1519.35348
Wu, Keyi; O’Leary-Roseberry, Thomas; Chen, Peng; Ghattas, Omar
5
2023
Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation. Zbl 07708330
Ciallella, Mirco; Torlo, Davide; Ricchiuto, Mario
4
2023
Eigenvalues of quaternion tensors with applications to color video processing. Zbl 1504.15023
He, Zhuo-Heng; Wang, Xiang-Xiang; Zhao, Yun-Fan
4
2023
An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows. Zbl 07682840
Hou, Dianming; Qiao, Zhonghua
4
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
4
2023
Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method. Zbl 07698834
Romor, Francesco; Stabile, Giovanni; Rozza, Gianluigi
4
2023
Element-free Galerkin analysis of Stokes problems using the reproducing kernel gradient smoothing integration. Zbl 07708344
Li, Xiaolin
3
2023
Generalised latent assimilation in heterogeneous reduced spaces with machine learning surrogate models. Zbl 07637331
Cheng, Sibo; Chen, Jianhua; Anastasiou, Charitos; Angeli, Panagiota; Matar, Omar K.; Guo, Yi-Ke; Pain, Christopher C.; Arcucci, Rossella
3
2023
The Cartesian grid active flux method with adaptive mesh refinement. Zbl 1516.65072
Calhoun, Donna; Chudzik, Erik; Helzel, Christiane
3
2023
Stability and interpolation properties for Stokes-like virtual element spaces. Zbl 1516.65137
Meng, Jian; Beirão da Veiga, Lourenço; Mascotto, Lorenzo
3
2023
New analysis of mixed finite element methods for incompressible magnetohydrodynamics. Zbl 1516.65132
Huang, Yuchen; Qiu, Weifeng; Sun, Weiwei
3
2023
High-order finite-volume TENO schemes with dual ENO-like stencil selection for unstructured meshes. Zbl 07698936
Ji, Zhe; Liang, Tian; Fu, Lin
3
2023
Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling. Zbl 07698951
Gopalakrishnan, J.; Kogler, L.; Lederer, P. L.; Schöberl, J.
3
2023
A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion. Zbl 07766134
Huang, Qiong-Ao; Jiang, Wei; Yang, Jerry Zhijian; Yuan, Cheng
2
2023
Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes. Zbl 07708326
Yu, Fan; Chen, Minghua
2
2023
A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates. Zbl 07708331
Fu, Hongfei; Zhang, Bingyin; Zheng, Xiangcheng
2
2023
An extended range of energy stable flux reconstruction methods on triangles. Zbl 07708333
Trojak, Will; Vincent, Peter
2
2023
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
2023
Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities. Zbl 07742008
Thomann, Andrea; Dumbser, Michael
2
2023
Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. Zbl 1504.65226
Tominec, Igor; Nazarov, Murtazo
2
2023
Rank properties and computational methods for orthogonal tensor decompositions. Zbl 1504.15087
Zeng, Chao
2
2023
A line search based proximal stochastic gradient algorithm with dynamical variance reduction. Zbl 1518.90104
Franchini, Giorgia; Porta, Federica; Ruggiero, Valeria; Trombini, Ilaria
2
2023
The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models. Zbl 07682834
Yu, Yue; Zhang, Jiansong; Qin, Rong
2
2023
Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. Zbl 07682839
Siena, Pierfrancesco; Girfoglio, Michele; Ballarin, Francesco; Rozza, Gianluigi
2
2023
Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations. Zbl 07682842
Carter, John; Han, Daozhi; Jiang, Nan
2
2023
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
2
2023
Strong convergence of forward-reflected-backward splitting methods for solving monotone inclusions with applications to image restoration and optimal control. Zbl 07698833
Izuchukwu, Chinedu; Reich, Simeon; Shehu, Yekini; Taiwo, Adeolu
2
2023
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
2023
A positivity-preserving, energy stable BDF2 scheme with variable steps for the Cahn-Hilliard equation with logarithmic potential. Zbl 07698850
Liu, Qianqian; Jing, Jianyu; Yuan, Maoqin; Chen, Wenbin
2
2023
A viscoelastic Timoshenko beam model: regularity and numerical approximation. Zbl 07698863
Li, Yiqun; Wang, Hong; Zheng, Xiangcheng
2
2023
Goal-oriented sensitivity analysis of hyperparameters in deep learning. Zbl 07698881
Novello, Paul; Poëtte, Gaël; Lugato, David; Congedo, Pietro Marco
2
2023
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
2023
Gradient robust mixed methods for nearly incompressible elasticity. Zbl 1516.65122
Basava, Seshadri R.; Wollner, Winnifried
2
2023
A family of fast multi-resolution ENO schemes for compressible flows. Zbl 07682616
Li, Yue; Fu, Lin; Adams, Nikolaus A.
1
2023
A FEAST SVDsolver based on Chebyshev-Jackson series for computing partial singular triplets of large matrices. Zbl 1526.65013
Jia, Zhongxiao; Zhang, Kailiang
1
2023
An adaptive superfast inexact proximal augmented Lagrangian method for smooth nonconvex composite optimization problems. Zbl 1522.90142
Sujanani, Arnesh; Monteiro, Renato D. C.
1
2023
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
2023
High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. Zbl 07708312
Sebastiano, Boscarino
1
2023
Numerical estimation of the inverse eigenvalue problem for a weighted Helmholtz equation. Zbl 07708317
Zhang, Zhengfang; Gao, Xiangjing; Cheng, Xiaoliang
1
2023
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
1
2023
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
2023
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
1
2023
A conforming virtual element method based on unfitted meshes for the elliptic interface problem. Zbl 07708363
Wang, Haimei; Wang, Feng; Chen, Jinru; Ji, Haifeng
1
2023
A primal-dual finite element method for scalar and vectorial total variation minimization. Zbl 1522.90252
Hilb, Stephan; Langer, Andreas; Alkämper, Martin
1
2023
Front transport reduction for complex moving fronts. Nonlinear model reduction for an advection-reaction-diffusion equation with a Kolmogorov-Petrovsky-Piskunov reaction term. Zbl 07708370
Krah, Philipp; Büchholz, Steffen; Häringer, Matthias; Reiss, Julius
1
2023
Discontinuous Galerkin time stepping for semilinear parabolic problems with time constant delay. Zbl 07720240
Xu, Xiuxiu; Huang, Qiumei
1
2023
A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points. Zbl 07720243
Pechstein, Clemens
1
2023
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
2023
Residual a posteriori error estimation for frictional contact with Nitsche method. Zbl 07730750
Araya, Rodolfo; Chouly, Franz
1
2023
Multiple-relaxation Runge Kutta methods for conservative dynamical systems. Zbl 1520.65056
Biswas, Abhijit; Ketcheson, David I.
1
2023
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
2023
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
2023
First-order positivity-preserving entropy stable scheme for the 3-D compressible Navier-Stokes equations. Zbl 1504.65215
Upperman, Johnathon; Yamaleev, Nail K.
1
2023
Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. Zbl 1505.76059
Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon
1
2023
Kernel-based methods for solving time-dependent advection-diffusion equations on manifolds. Zbl 1504.65007
Yan, Qile; Jiang, Shixiao W.; Harlim, John
1
2023
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
2023
A multiscale RBF method for severely ill-posed problems on spheres. Zbl 1528.65029
Zhong, Min; Gia, Quoc Thong Le; Sloan, Ian Hugh
1
2023
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
2023
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
2023
Locking-free and locally-conservative enriched Galerkin method for poroelasticity. Zbl 1512.65212
Lee, Sanghyun; Yi, Son-Young
1
2023
Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems. Zbl 07682802
Corallo, Daniele; Dörfler, Willy; Wieners, Christian
1
2023
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
2023
Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equations. Zbl 1512.65187
Zhang, Gengen; Jiang, Chaolong; Huang, Hao
1
2023
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
2023
Discrete adjoint computations for relaxation Runge-Kutta methods. Zbl 1517.49005
Bencomo, Mario J.; Chan, Jesse
1
2023
An interface/boundary-unfitted eXtended HDG method for linear elasticity problems. Zbl 07698825
Han, Yihui; Wang, Xiao-Ping; Xie, Xiaoping
1
2023
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
2023
An efficient spectral trust-region deflation method for multiple solutions. Zbl 1516.65146
Li, Lin; Wang, Li-Lian; Li, Huiyuan
1
2023
Truncated and sparse power methods with partially updating for large and sparse higher-order PageRank problems. Zbl 1515.65080
Huang, Jun; Wu, Gang
1
2023
Numerical computation of partial differential equations by hidden-layer concatenated extreme learning machine. Zbl 1515.65046
Ni, Naxian; Dong, Suchuan
1
2023
Proximal quasi-Newton method for composite optimization over the Stiefel manifold. Zbl 1519.90233
Wang, Qinsi; Yang, Wei Hong
1
2023
Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. Zbl 1516.65107
Ling, Dan; Mao, Zhiping
1
2023
All-speed numerical methods for the Euler equations via a sequential explicit time integration. Zbl 07698859
Barsukow, Wasilij
1
2023
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
1
2023
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
2023
Sequential image recovery using joint hierarchical Bayesian learning. Zbl 07698875
Xiao, Yao; Glaubitz, Jan
1
2023
A fictitious domain spectral method for solving the Helmholtz equation in exterior domains. Zbl 07698882
Gu, Yiqi; Shen, Jie
1
2023
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
2023
Strong stability preserving multistep schemes for forward backward stochastic differential equations. Zbl 1516.65003
Fang, Shuixin; Zhao, Weidong; Zhou, Tao
1
2023
Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems. Zbl 07698899
Liao, Yulei; Ming, Pingbing; Xu, Yun
1
2023
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
2023
Error analysis of fully discrete scheme for the Cahn-Hilliard-magneto-hydrodynamics problem. Zbl 1516.65099
Qiu, Hailong
1
2023
ReLU neural network Galerkin BEM. Zbl 07698915
Aylwin, Rubén; Henríquez, Fernando; Schwab, Christoph
1
2023
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
2023
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
2023
Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations. Zbl 07698939
Gatica, Gabriel N.; Núñez, Nicolás; Ruiz-Baier, Ricardo
1
2023
A corrected L1 method for a time-fractional subdiffusion equation. Zbl 07698945
Yang, Zheng; Zeng, Fanhai
1
2023
An efficient spectral-Galerkin method for elliptic equations in 2D complex geometries. Zbl 1516.65147
Wang, Zhongqing; Wen, Xian; Yao, Guoqing
1
2023
An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows. Zbl 1519.65039
Du, Jie; Liu, Yong; Yang, Yang
1
2023
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
39
2022
Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems. Zbl 1510.47092
Ogwo, G. N.; Izuchukwu, C.; Shehu, Y.; Mewomo, O. T.
20
2022
Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations. Zbl 1492.65239
Ju, Lili; Li, Xiao; Qiao, Zhonghua
16
2022
Subgradient extragradient method with double inertial steps for variational inequalities. Zbl 07458297
Yao, Yonghong; Iyiola, Olaniyi S.; Shehu, Yekini
15
2022
Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model. Zbl 1492.35397
Liao, Hong-lin; Ji, Bingquan; Wang, Lin; Zhang, Zhimin
14
2022
Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations. Zbl 07435301
Zhang, Hong; Yan, Jingye; Qian, Xu; Chen, Xiaowei; Song, Songhe
12
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
12
2022
A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach. Zbl 1481.65131
Hou, Dianming; Xu, Chuanju
12
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
12
2022
...and 1318 more Documents
all top 5

Cited by 22,808 Authors

219 Shu, Chi-Wang
125 Dumbser, Michael
122 Huang, Yunqing
113 Dehghan Takht Fooladi, Mehdi
112 Nordström, Jan
112 Zhang, Zhimin
109 Chen, Yanping
91 Shi, Dongyang
85 Qiu, Jianxian
84 Yang, Xiaofeng
81 He, Yinnian
75 Wang, Cheng
74 Cockburn, Bernardo
71 Rui, Hongxing
69 Karniadakis, George Em
66 Feng, Xinlong
66 Kim, Junseok
66 Li, Jichun
66 Shen, Jie
63 Zhang, Shangyou
62 Hesthaven, Jan S.
60 Wang, Hong
59 Abgrall, Rémi
59 Rozza, Gianluigi
58 Xu, Yan
56 Gassner, Gregor J.
54 Antonietti, Paola Francesca
53 Huang, Ting-Zhu
52 Zhu, Jun
51 Liu, Yang
51 Toro, Eleuterio Francisco
50 Ju, Lili
50 Li, Hong
50 Ye, Xiu
49 Karageorghis, Andreas
49 Kurganov, Alexander
49 Wise, Steven M.
49 Zheng, Xiangcheng
48 Li, Ruo
47 Baccouch, Mahboub
47 Li, Meng
46 Munz, Claus-Dieter
46 Osher, Stanley Joel
46 Zaky, Mahmoud A.
45 Brenner, Susanne Cecelia
45 He, Xiaoming
44 Gibou, Frédéric
44 Huang, Chengming
44 Ruiz-Baier, Ricardo
44 Xu, Da
43 Abbaszadeh, Mostafa
43 Boscheri, Walter
43 Hou, Yanren
43 Simos, Theodore E.
43 Xing, Yulong
43 Yang, Junxiang
42 Chung, Tsz Shun Eric
42 Jameson, Antony
42 Pan, Kejia
42 Sun, Haiwei
41 Dawson, Clint N.
41 Gelb, Anne
41 Liu, Fawang
41 Liu, Hailiang
41 Mei, Liquan
41 Russo, Giovanni
41 Temam, Roger Meyer
41 Xia, Yinhua
40 Balsara, Dinshaw S.
40 Gatica, Gabriel N.
40 Kirby, Robert M. II
40 Li, Dongfang
40 Qiu, Jingmei
40 Sun, Zhizhong
40 Wang, Lilian
40 Wang, Yushun
40 Yang, Yidu
39 Bürger, Raimund
39 Chen, Wenbin
39 Cheng, Yingda
39 Vong, Seakweng
38 Qiao, Zhonghua
38 Sun, Shuyu
38 Wang, Zhijian
38 Wu, Boying
37 Boyd, John Philip
37 Chen, Chuanjun
37 Gunzburger, Max D.
37 Guo, Ben-Yu
37 Li, Xiaoli
37 Mu, Lin
36 Deng, Weihua
36 Don, Wai Sun
36 Fu, Hongfei
36 Hu, Guanghui
36 Mewomo, Oluwatosin Temitope
36 Ng, Michael Kwok-Po
36 Sung, Li-Yeng
36 Xie, Xiaoping
35 Lowengrub, John Samuel
...and 22,708 more Authors
all top 5

Cited in 664 Journals

3,044 Journal of Computational Physics
2,193 Journal of Scientific Computing
1,034 Computers & Mathematics with Applications
909 Journal of Computational and Applied Mathematics
849 Computer Methods in Applied Mechanics and Engineering
819 Applied Numerical Mathematics
757 Computers and Fluids
666 Applied Mathematics and Computation
666 SIAM Journal on Scientific Computing
406 SIAM Journal on Numerical Analysis
360 Numerical Algorithms
351 Numerical Methods for Partial Differential Equations
300 Mathematics of Computation
294 Communications in Computational Physics
258 Advances in Computational Mathematics
247 International Journal of Computer Mathematics
241 Computational and Applied Mathematics
231 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
229 Journal of Fluid Mechanics
220 Numerische Mathematik
208 Advances in Applied Mathematics and Mechanics
195 Applied Mathematics Letters
192 Mathematics and Computers in Simulation
184 Applied Mathematical Modelling
175 Communications in Nonlinear Science and Numerical Simulation
145 International Journal for Numerical Methods in Engineering
143 Engineering Analysis with Boundary Elements
130 Calcolo
127 BIT
124 Computer Physics Communications
119 Communications on Applied Mathematics and Computation
113 International Journal for Numerical Methods in Fluids
110 Mathematical Methods in the Applied Sciences
109 SIAM Journal on Imaging Sciences
107 Computational Methods in Applied Mathematics
104 Discrete and Continuous Dynamical Systems. Series B
103 Physics of Fluids
102 Journal of Mathematical Analysis and Applications
102 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
96 Computational Optimization and Applications
95 Journal of Mathematical Imaging and Vision
91 Multiscale Modeling & Simulation
90 Inverse Problems
90 International Journal of Computational Fluid Dynamics
87 Mathematical Problems in Engineering
86 International Journal of Numerical Analysis and Modeling
81 East Asian Journal on Applied Mathematics
80 Inverse Problems and Imaging
74 Computational Geosciences
73 Advances in Difference Equations
70 Journal of Applied Mathematics and Computing
68 Journal of Optimization Theory and Applications
68 Computational Mechanics
65 SIAM Journal on Optimization
64 Science China. Mathematics
58 Physica D
58 Journal of Mathematical Chemistry
56 Numerical Mathematics: Theory, Methods and Applications
55 Journal of Computational Mathematics
54 Journal of Numerical Mathematics
52 International Journal of Computational Methods
50 Applicable Analysis
48 SIAM Journal on Matrix Analysis and Applications
45 SIAM/ASA Journal on Uncertainty Quantification
44 Applied and Computational Harmonic Analysis
44 Journal of Inequalities and Applications
40 Numerical Functional Analysis and Optimization
40 Electronic Research Archive
39 Journal of Differential Equations
39 ETNA. Electronic Transactions on Numerical Analysis
39 European Journal of Mechanics. B. Fluids
39 Journal of Industrial and Management Optimization
38 Abstract and Applied Analysis
38 Discrete and Continuous Dynamical Systems. Series S
38 Results in Applied Mathematics
36 SIAM Journal on Applied Mathematics
36 International Journal of Applied and Computational Mathematics
35 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
34 Chaos, Solitons and Fractals
34 Computational Mathematics and Mathematical Physics
34 Linear Algebra and its Applications
34 Fractional Calculus & Applied Analysis
34 Networks and Heterogeneous Media
33 Boundary Value Problems
31 Acta Numerica
30 Journal of Statistical Physics
29 Wave Motion
29 Mathematical Programming. Series A. Series B
29 Optimization and Engineering
29 International Journal of Nonlinear Sciences and Numerical Simulation
29 AIMS Mathematics
28 Journal of Engineering Mathematics
28 Physics of Fluids, A
28 Automatica
28 Journal of Global Optimization
28 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
28 Nonlinear Analysis. Real World Applications
27 ZAMP. Zeitschrift für angewandte Mathematik und Physik
27 Japan Journal of Industrial and Applied Mathematics
27 Computing and Visualization in Science
...and 564 more Journals
all top 5

Cited in 59 Fields

17,594 Numerical analysis (65-XX)
9,021 Partial differential equations (35-XX)
7,815 Fluid mechanics (76-XX)
1,457 Mechanics of deformable solids (74-XX)
1,259 Calculus of variations and optimal control; optimization (49-XX)
1,145 Operations research, mathematical programming (90-XX)
911 Computer science (68-XX)
734 Biology and other natural sciences (92-XX)
711 Information and communication theory, circuits (94-XX)
707 Statistical mechanics, structure of matter (82-XX)
687 Optics, electromagnetic theory (78-XX)
619 Real functions (26-XX)
607 Probability theory and stochastic processes (60-XX)
596 Ordinary differential equations (34-XX)
523 Approximations and expansions (41-XX)
487 Integral equations (45-XX)
477 Geophysics (86-XX)
447 Linear and multilinear algebra; matrix theory (15-XX)
415 Classical thermodynamics, heat transfer (80-XX)
343 Operator theory (47-XX)
318 Systems theory; control (93-XX)
312 Statistics (62-XX)
297 Dynamical systems and ergodic theory (37-XX)
267 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
231 Harmonic analysis on Euclidean spaces (42-XX)
202 Quantum theory (81-XX)
156 Special functions (33-XX)
121 Global analysis, analysis on manifolds (58-XX)
102 Potential theory (31-XX)
98 Functional analysis (46-XX)
77 Differential geometry (53-XX)
77 Mechanics of particles and systems (70-XX)
59 Astronomy and astrophysics (85-XX)
58 Combinatorics (05-XX)
57 Integral transforms, operational calculus (44-XX)
54 Functions of a complex variable (30-XX)
53 Relativity and gravitational theory (83-XX)
42 Difference and functional equations (39-XX)
33 Convex and discrete geometry (52-XX)
29 General and overarching topics; collections (00-XX)
23 Measure and integration (28-XX)
17 Number theory (11-XX)
13 History and biography (01-XX)
11 Algebraic geometry (14-XX)
10 Sequences, series, summability (40-XX)
10 General topology (54-XX)
9 Mathematics education (97-XX)
6 Mathematical logic and foundations (03-XX)
6 Geometry (51-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Manifolds and cell complexes (57-XX)
3 Commutative algebra (13-XX)
3 Topological groups, Lie groups (22-XX)
2 Nonassociative rings and algebras (17-XX)
2 Algebraic topology (55-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Abstract harmonic analysis (43-XX)

Citations by Year