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: 3,487 Publications (since 1986) References Indexed: 3,226 Publications with 111,881 References.
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Authors

 43 Shu, Chi-Wang 38 Zhang, Zhimin 29 Orszag, Steven Alan 29 Osher, Stanley Joel 26 Cockburn, Bernardo 26 Qiu, Jianxian 25 Gelb, Anne 21 Gottlieb, Sigal 21 Nordström, Jan 20 Xu, Yan 19 Kirby, Robert M. II 19 Kopriva, David Alan 18 Gassner, Gregor J. 18 Huang, Yunqing 18 Jameson, Antony 18 Kang, Myungjoo 17 Guo, Ben-Yu 17 Hesthaven, Jan S. 17 Shen, Jie 16 Don, Wai Sun 16 He, Yinnian 16 Li, Fengyan 15 Feng, Xinlong 15 Karageorghis, Andreas 15 Ryan, Jennifer K. 15 Wang, Cheng 15 Yin, Wotao 14 Abgrall, Rémi 14 Li, Ruo 14 Liu, Steve Wenbin 14 Tang, Tao 14 Wang, Hong 13 Chen, Long 13 Chen, Yanping 13 Dumbser, Michael 13 Feng, Xiaobing 13 Gao, Zhen 13 Qiu, Jingmei 13 Rozza, Gianluigi 13 Rui, Hongxing 12 Gottlieb, David I. 12 Lui, Lok Ming 12 Sun, Zhizhong 12 Xing, Yulong 12 Zhang, Qiang 11 Brenner, Susanne Cecelia 11 Cheng, Yingda 11 Dawson, Clint N. 11 Deng, Weihua 11 Glowinski, Roland 11 Gustafsson, Bertil 11 Huang, Ting-Zhu 11 Jung, Jae-Hun 11 Kurganov, Alexander 11 Li, Jichun 11 Mattsson, Ken 11 Pani, Amiya Kumar 11 Wang, Lilian 11 Zhang, Yongtao 10 Antonietti, Paola Francesca 10 Baccouch, Mahboub 10 Boyd, John Philip 10 Christlieb, Andrew J. 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 Ju, Lili 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 Chung, Tsz Shun Eric 9 Gatica, Gabriel N. 9 Ha, Youngsoo 9 Higueras, Inmaculada 9 Kao, Chiu-Yen 9 Kreiss, Gunilla 9 Leung, Shingyu 9 Maday, Yvon 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 ...and 4,691 more Authors
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Fields

 2,954 Numerical analysis (65-XX) 1,479 Partial differential equations (35-XX) 1,068 Fluid mechanics (76-XX) 169 Calculus of variations and optimal control; optimization (49-XX) 158 Mechanics of deformable solids (74-XX) 149 Optics, electromagnetic theory (78-XX) 138 Operations research, mathematical programming (90-XX) 127 Computer science (68-XX) 106 Information and communication theory, circuits (94-XX) 100 Statistical mechanics, structure of matter (82-XX) 95 Ordinary differential equations (34-XX) 89 Approximations and expansions (41-XX) 86 Linear and multilinear algebra; matrix theory (15-XX) 74 Probability theory and stochastic processes (60-XX) 72 Classical thermodynamics, heat transfer (80-XX) 71 Biology and other natural sciences (92-XX) 66 Real functions (26-XX) 63 Integral equations (45-XX) 55 Geophysics (86-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 38 Systems theory; control (93-XX) 36 Statistics (62-XX) 35 Operator theory (47-XX) 32 Special functions (33-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Quantum theory (81-XX) 22 Global analysis, analysis on manifolds (58-XX) 18 Potential theory (31-XX) 14 Astronomy and astrophysics (85-XX) 13 Functions of a complex variable (30-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) 7 Relativity and gravitational theory (83-XX) 5 History and biography (01-XX) 5 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Convex and discrete geometry (52-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)

Citations contained in zbMATH Open

2,806 Publications have been cited 32,534 times in 18,982 Documents Cited by Year
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135
Cockburn, Bernardo; Shu, Chi-Wang
2001
Spectral methods on triangles and other domains. Zbl 0742.76059
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1991
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
2005
Aerodynamic design via control theory. Zbl 0676.76055
Jameson, Antony
1988
Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040
Yakhot, Victor; Orszag, Steven A.
1986
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
2000
ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028
Titarev, V. A.; Toro, E. F.
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
2005
On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036
Deng, Wei; Yin, Wotao
2016
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
2011
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
2009
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
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2011
Boundary conditions for incompressible flows. Zbl 0648.76023
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1986
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
2010
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
2007
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
2019
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2015
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
2012
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
2011
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
2003
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
2002
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
2005
Solving multi-linear systems with $$\mathcal {M}$$-tensors. Zbl 1371.65032
Ding, Weiyang; Wei, Yimin
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.
2012
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
1988
Spectral difference method for unstructured grids. II. Extension to the Euler equations. Zbl 1151.76543
Wang, Z. J.; Liu, Yen; May, Georg; Jameson, Antony
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.
1990
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
2006
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
2005
Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269
Kopriva, David A.
2006
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
2015
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
2003
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
2013
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
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.
2006
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
2003
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
2007
Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055
Mattsson, Ken
2012
Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044
Goldstein, Tom; Bresson, Xavier; Osher, Stanley
2010
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
2012
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
2010
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
2003
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
2017
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
2006
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
2014
An $$hp$$-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
2002
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
2005
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.
2004
A fully automatic $$hp$$-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
2002
On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199
Kopriva, David A.; Gassner, Gregor
2010
A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028
Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E.
2014
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
2006
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
2010
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
2004
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
1990
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
Constantinescu, Emil M.; Sandu, Adrian
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.
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.
2007
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
2003
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
2015
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
2011
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
2010
Parallel multi-block ADMM with $$o(1/k)$$ convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
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
2016
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
2008
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
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
2013
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
2005
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
2002
Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091
Després, Bruno; Lagoutière, Frédéric
2001
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
2010
A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382
Adams, Scot; Cockburn, Bernardo
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
2017
A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. Zbl 1319.65079
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L.
2015
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
2007
Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows. Zbl 1397.76070
Han, Daozhi; Brylev, Alex; Yang, Xiaofeng; Tan, Zhijun
2017
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
2015
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
2012
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231
Hidalgo, Arturo; Dumbser, Michael
2011
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
2007
Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. Zbl 1335.65077
Semplice, M.; Coco, A.; Russo, G.
2016
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.
2017
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
2000
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
2006
Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065
Pan, Hao; Rui, Hongxing
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
2015
On the non-linear stability of flux reconstruction schemes. Zbl 1457.65116
Jameson, A.; Vincent, P. E.; Castonguay, P.
2012
Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. Zbl 1297.76126
Gottlieb, Sigal; Wang, Cheng
2012
A new class of high-order energy stable flux reconstruction schemes for triangular elements. Zbl 1457.65101
Castonguay, P.; Vincent, P. E.; Jameson, A.
2012
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
2009
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
2002
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. Zbl 1282.76134
Xing, Yulong; Zhang, Xiangxiong
2013
Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. Zbl 1203.65252
Feng, Xiaobing; Neilan, Michael
2009
A $$C^0$$-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2014
Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055
Rønquist, Einar M.; Patera, Anthony T.
1987
Hybrid multigrid/Schwarz algorithms for the spectral element method. Zbl 1078.65570
Lottes, James W.; Fischer, Paul F.
2005
On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes. Zbl 1343.65116
Cravero, I.; Semplice, M.
2016
On the stability and accuracy of the spectral difference method. Zbl 1203.65132
Den Abeele, Kris Van; Lacor, Chris; Wang, Z. J.
2008
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
2003
Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem. Zbl 1419.65010
Chen, Hu; Stynes, Martin
2019
Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems. Zbl 07435303
Ogwo, G. N.; Izuchukwu, C.; Shehu, Y.; Mewomo, O. T.
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
2022
Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084
Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong
2022
Subgradient extragradient method with double inertial steps for variational inequalities. Zbl 07458297
Yao, Yonghong; Iyiola, Olaniyi S.; Shehu, Yekini
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.
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
2022
Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations. Zbl 1483.90161
Waziri, Mohammed Yusuf; Ahmed, Kabiru
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
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
2022
Parallel-in-time high-order multiderivative IMEX solvers. Zbl 1481.65105
Schütz, Jochen; Seal, David C.; Zeifang, Jonas
2022
Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations. Zbl 07458302
Yang, Jiang; Yuan, Zhaoming; Zhou, Zhi
2022
A class of new high-order finite-volume TENO schemes for hyperbolic conservation laws with unstructured meshes. Zbl 1503.65201
Ji, Zhe; Liang, Tian; Fu, Lin
2022
Accelerated information gradient flow. Zbl 1484.90059
Wang, Yifei; Li, Wuchen
2022
Free-boundary conformal parameterization of point clouds. Zbl 1483.65032
Choi, Gary P. T.; Liu, Yechen; Lui, Lok Ming
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
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
2022
An efficient low-dissipation high-order TENO scheme for MHD flows. Zbl 07454837
Fu, Lin
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.
2022
The operator-splitting method for Cahn-Hilliard is stable. Zbl 07454945
Li, Dong; Quan, Chaoyu
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
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
2022
Mortar coupling of $$hp$$-discontinuous Galerkin and boundary element methods for the Helmholtz equation. Zbl 1492.65304
Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander
2022
Tensor completion via fully-connected tensor network decomposition with regularized factors. Zbl 1498.65064
Zheng, Yu-Bang; Huang, Ting-Zhu; Zhao, Xi-Le; Zhao, Qibin
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
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
2022
Constrained high-index saddle dynamics for the solution landscape with equality constraints. Zbl 1501.37081
Yin, Jianyuan; Huang, Zhen; Zhang, Lei
2022
An immersed Raviart-Thomas mixed finite element method for elliptic interface problems on unfitted meshes. Zbl 1490.65278
Ji, Haifeng
2022
Preconditioners with symmetrized techniques for space fractional Cahn-Hilliard equations. Zbl 1492.65238
Huang, Xin; Li, Dongfang; Sun, Hai-Wei; Zhang, Fan
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
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
2022
Nonlinear transform induced tensor nuclear norm for tensor completion. Zbl 1497.65084
Li, Ben-Zheng; Zhao, Xi-Le; Ji, Teng-Yu; Zhang, Xiong-Jun; Huang, Ting-Zhu
2022
A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations. Zbl 1497.65130
Lyu, Pin; Vong, Seakweng
2022
Staggered DG method with small edges for Darcy flows in fractured porous media. Zbl 1493.65243
Zhao, Lina; Kim, Dohyun; Park, Eun-Jae; Chung, Eric
2022
Error analysis of an unfitted HDG method for a class of non-linear elliptic problems. Zbl 1483.65192
Sánchez, Nestor; Sánchez-Vizuet, Tonatiuh; Solano, Manuel
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
2022
On robustly convergent and efficient iterative methods for anisotropic radiative transfer. Zbl 1487.65036
Dölz, Jürgen; Palii, Olena; Schlottbom, Matthias
2022
Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws. Zbl 1486.65098
Chouchoulis, Jeremy; Schütz, Jochen; Zeifang, Jonas
2022
Optimal strong convergence of finite element methods for one-dimensional stochastic elliptic equations with fractional noise. Zbl 1496.65208
Cao, Wanrong; Hao, Zhaopeng; Zhang, Zhongqiang
2022
A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density. Zbl 1484.65225
Li, Buyang; Qiu, Weifeng; Yang, Zongze
2022
A local curvature based adaptive particle level set method. Zbl 07488713
Wang, Cheng; Wang, Wanli; Pan, Shucheng; Zhao, Fuyu
2022
Entropy stable flux correction for scalar hyperbolic conservation laws. Zbl 1486.65110
Kivva, Sergii
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
2022
The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering. Zbl 1490.65254
Li, Yanjun; Bi, Hai; Yang, Yidu
2022
Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials. Zbl 1490.65277
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin
2022
Convergence analysis of virtual element method for nonlinear nonlocal dynamic plate equation. Zbl 1484.65205
Adak, D.; Mora, D.; Natarajan, S.
2022
Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations. Zbl 1490.65217
Zhang, Tong; Yuan, JinYun
2022
A three-dimensional continuum simulation method for grain boundary motion incorporating dislocation structure. Zbl 07435296
Qin, Xiaoxue; Zhang, Luchan; Xiang, Yang
2022
On the asymptotic convergence and acceleration of gradient methods. Zbl 1481.90309
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao
2022
A parallel Robin-Robin domain decomposition method based on modified characteristic FEMs for the time-dependent dual-porosity-Navier-Stokes model with the Beavers-Joseph interface condition. Zbl 07435360
Cao, Luling; He, Yinnian; Li, Jian
2022
A parallel-in-time implementation of the Numerov method for wave equations. Zbl 1483.65056
Sun, Yafei; Wu, Shu-Lin; Xu, Yingxiang
2022
Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for linear convection-diffusion equations. Zbl 07435365
Zhou, Lingling; Xia, Yinhua
2022
Error analysis of a decoupled finite element method for quad-curl problems. Zbl 1479.65026
Cao, Shuhao; Chen, Long; Huang, Xuehai
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
2022
On the application of stable generalized finite element method for quasilinear elliptic two-point BVP. Zbl 1501.65103
Aryeni, T.; Deng, Q.; Ginting, V.
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
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.
2022
A new local and parallel finite element method for the coupled Stokes-Darcy model. Zbl 07454825
Du, Guangzhi; Zuo, Liyun; Zhang, Yuhong
2022
A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. II: ALE framework. Zbl 1480.65266
Luo, Dongmi; Li, Shiyi; Huang, Weizhang; Qiu, Jianxian; Chen, Yibing
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.
2022
A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. Zbl 1490.65249
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin
2022
A second order energy dissipative scheme for time fractional $$L^2$$ gradient flows using SAV approach. Zbl 1481.65131
Hou, Dianming; Xu, Chuanju
2022
Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics. Zbl 07454946
Su, Haiyan; Zhang, Guo-Dong
2022
Tailored finite point method for diffusion equations with interfaces on distorted meshes. Zbl 1501.65090
Tang, Min; Chang, Lina; Wang, Yihong
2022
A fully divergence-free finite element scheme for stationary inductionless magnetohydrodynamic equations. Zbl 1481.65234
Zhang, Xiaodi; Wang, Xiaorong
2022
Computing the invariant distribution of randomly perturbed dynamical systems using deep learning. Zbl 1490.35502
Lin, Bo; Li, Qianxiao; Ren, Weiqing
2022
Primal hybrid method for quasilinear parabolic problems. Zbl 1490.65209
Shokeen, Ravina; Patel, Ajit; Pani, Amiya K.
2022
The Arrow-Hurwicz iterative finite element method for the stationary thermally coupled incompressible magnetohydrodynamics flow. Zbl 1492.65315
Keram, Aytura; Huang, Pengzhan
2022
Adaptive quasi-Monte Carlo finite element methods for parametric elliptic PDEs. Zbl 1492.65323
Longo, Marcello
2022
An asymptotic-preserving IMEX method for nonlinear radiative transfer equation. Zbl 07549615
Fu, Jinxue; Li, Weiming; Song, Peng; Wang, Yanli
2022
HHO methods for the incompressible Navier-Stokes and the incompressible Euler equations. Zbl 1490.65189
Botti, Lorenzo; Massa, Francesco Carlo
2022
Numerical bifurcation analysis of PDEs from lattice Boltzmann model simulations: a parsimonious machine learning approach. Zbl 1490.65184
Galaris, Evangelos; Fabiani, Gianluca; Gallos, Ioannis; Kevrekidis, Ioannis; Siettos, Constantinos
2022
A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems. Zbl 1490.65193
Futai, Kouta; Kolbe, Niklas; Notsu, Hirofumi; Suzuki, Tasuku
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
2022
Convergence rates of monotone schemes for conservation laws for data with unbounded total variation. Zbl 07543420
Fjordholm, Ulrik Skre; Lye, Kjetil Olsen
2022
A sharp $$\alpha$$-robust $$L^\infty (H^1)$$ error bound for a time-fractional Allen-Cahn problem discretised by the Alikhanov $$L2-1_\sigma$$ scheme and a standard FEM. Zbl 1490.65199
Huang, Chaobao; Stynes, Martin
2022
Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection. Zbl 1490.74008
Kang, Yuanyuan; Liao, Hong-lin
2022
A scalable space-time domain decomposition approach for solving large scale nonlinear regularized inverse ill posed problems in 4D variational data assimilation. Zbl 1494.90048
D&rsquo;Amore, Luisa; Constantinescu, Emil; Carracciuolo, Luisa
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
2022
Spectral coarse spaces for the substructured parallel Schwarz method. Zbl 1490.65303
Ciaramella, Gabriele; Vanzan, Tommaso
2022
The gradient descent method for the convexification to solve boundary value problems of quasi-linear PDEs and a coefficient inverse problem. Zbl 07545435
Thuy T. Le; Loc H. Nguyen
2022
Adaptive integration of nonlinear evolution equations on tensor manifolds. Zbl 1502.65174
Rodgers, Abram; Dektor, Alec; Venturi, Daniele
2022
Numerical analysis of a Darcy-Forchheimer model coupled with the heat equation. Zbl 1502.65096
Deugoue, G.; Djoko, J. K.; Konlack, V. S.; Mbehou, M.
2022
Bernstein-Bézier Galerkin-characteristics finite element method for convection-diffusion problems. Zbl 1502.65117
El-Amrani, Mofdi; El-Kacimi, Abdellah; Khouya, Bassou; Seaid, Mohammed
2022
BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations. Zbl 1502.65234
Bevilacqua, Tommaso; Scacchi, Simone
2022
The stabilized nonconforming virtual element method for linear elasticity problem. Zbl 1492.65335
Zhao, Jikun; Wang, Tianle; Zhang, Bei
2022
Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models. Zbl 1492.76083
Cao, Yangyang; Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao
2022
A fast operator-splitting method for Beltrami color image denoising. Zbl 1494.94005
Duan, Yuping; Zhong, Qiuxiang; Tai, Xue-Cheng; Glowinski, Roland
2022
An efficient algorithm for computing the approximate t-URV and its applications. Zbl 1498.65062
Che, Maolin; Wei, Yimin
2022
Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods. Zbl 1497.65176
Kang, Shinhoo; Constantinescu, Emil M.
2022
The deep learning Galerkin method for the general Stokes equations. Zbl 07590392
Li, Jian; Yue, Jing; Zhang, Wen; Duan, Wansuo
2022
Two harmonic Jacobi-Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair. Zbl 1502.65014
Huang, Jinzhi; Jia, Zhongxiao
2022
Residual-based a posteriori error estimates for the time-dependent Ginzburg-Landau equations of superconductivity. Zbl 1503.65226
Duan, Huoyuan; Zhang, Qiuyu
2022
A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. Zbl 1470.65166
Fresca, Stefania; Dede&rsquo;, Luca; Manzoni, Andrea
2021
Solving the Kolmogorov PDE by means of deep learning. Zbl 1490.65006
Beck, Christian; Becker, Sebastian; Grohs, Philipp; Jaafari, Nor; Jentzen, Arnulf
2021
A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation. Zbl 1497.65196
Wang, Min; Huang, Qiumei; Wang, Cheng
2021
Inertial-type algorithm for solving split common fixed point problems in Banach spaces. Zbl 07301290
Taiwo, A.; Jolaoso, L. O.; Mewomo, O. T.
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
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
2021
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 1501.65047
Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya
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
2021
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Cited by 19,338 Authors

 203 Shu, Chi-Wang 109 Dumbser, Michael 98 Dehghan Takht Fooladi, Mehdi 98 Huang, Yunqing 95 Nordström, Jan 93 Chen, Yanping 84 Zhang, Zhimin 77 Qiu, Jianxian 72 Cockburn, Bernardo 72 He, Yinnian 68 Shi, Dongyang 66 Yang, Xiaofeng 64 Wang, Cheng 59 Karniadakis, George Em 59 Shen, Jie 57 Li, Jichun 57 Rui, Hongxing 52 Hesthaven, Jan S. 52 Zhang, Shangyou 51 Feng, Xinlong 50 Abgrall, Rémi 50 Kim, Junseok 50 Wang, Hong 49 Xu, Yan 48 Gassner, Gregor J. 48 Karageorghis, Andreas 48 Rozza, Gianluigi 46 Huang, Ting-Zhu 45 Antonietti, Paola Francesca 45 Toro, Eleuterio Francisco 43 Ye, Xiu 43 Zhu, Jun 42 Baccouch, Mahboub 42 Brenner, Susanne Cecelia 41 Ju, Lili 41 Kurganov, Alexander 41 Munz, Claus-Dieter 41 Temam, Roger Meyer 41 Wise, Steven M. 40 Jameson, Antony 40 Osher, Stanley Joel 39 Gibou, Frédéric 39 Liu, Hailiang 38 Balsara, Dinshaw S. 38 Chung, Tsz Shun Eric 38 Dawson, Clint N. 38 Wang, Zhijian 37 Abbaszadeh, Mostafa 37 Bürger, Raimund 37 Guo, Ben-Yu 37 Qiu, Jingmei 37 Russo, Giovanni 36 Cheng, Yingda 36 He, Xiaoming 36 Hou, Yanren 36 Huang, Chengming 36 Li, Ruo 36 Simos, Theodore E. 36 Wang, Lilian 36 Xing, Yulong 35 Boscheri, Walter 35 Boyd, John Philip 35 Kirby, Robert M. II 35 Li, Hong 34 Gelb, Anne 34 Liu, Yang 34 Sun, Zhizhong 34 Wu, Boying 34 Zheng, Xiangcheng 33 Li, Dongfang 33 Li, Xiaoli 33 Lowengrub, John Samuel 33 Mu, Lin 33 Sun, Shuyu 33 Wang, Zhongqing 33 Xia, Yinhua 33 Xu, Da 33 Yang, Yidu 33 Zhang, Mengping 32 Houston, Paul 32 Mei, Liquan 32 Ruiz-Baier, Ricardo 32 Vong, Seakweng 32 Yang, Yang 31 Don, Wai Sun 31 Fu, Hongfei 31 Gunzburger, Max D. 31 Li, Huiyuan 31 Zhao, Xile 30 Burman, Erik 30 Castro, Manuel J. 30 Chen, Chuanjun 30 Deng, Weihua 30 Kang, Myungjoo 30 Liu, Fawang 30 Maday, Yvon 30 Nelakanti, Gnaneshwar 30 Pan, Kejia 30 Quarteroni, Alfio M. 30 Sengupta, Tapan Kumar ...and 19,238 more Authors
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Cited in 610 Journals

 2,616 Journal of Computational Physics 1,896 Journal of Scientific Computing 796 Computers & Mathematics with Applications 766 Journal of Computational and Applied Mathematics 728 Applied Numerical Mathematics 722 Computer Methods in Applied Mechanics and Engineering 689 Computers and Fluids 596 Applied Mathematics and Computation 572 SIAM Journal on Scientific Computing 333 SIAM Journal on Numerical Analysis 296 Numerical Algorithms 285 Mathematics of Computation 241 Communications in Computational Physics 215 Journal of Fluid Mechanics 213 Advances in Computational Mathematics 204 Numerische Mathematik 197 International Journal of Computer Mathematics 180 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 179 Computational and Applied Mathematics 168 Advances in Applied Mathematics and Mechanics 164 Applied Mathematical Modelling 158 Applied Mathematics Letters 149 Numerical Methods for Partial Differential Equations 141 Mathematics and Computers in Simulation 132 Engineering Analysis with Boundary Elements 113 International Journal for Numerical Methods in Fluids 105 Communications in Nonlinear Science and Numerical Simulation 104 International Journal for Numerical Methods in Engineering 103 Physics of Fluids 100 Communications on Applied Mathematics and Computation 99 BIT 98 Calcolo 91 SIAM Journal on Imaging Sciences 90 Journal of Mathematical Analysis and Applications 84 Computational Methods in Applied Mathematics 83 Discrete and Continuous Dynamical Systems. Series B 81 Journal of Mathematical Imaging and Vision 81 Mathematical Problems in Engineering 80 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 80 International Journal of Computational Fluid Dynamics 78 Computational Optimization and Applications 73 Advances in Difference Equations 72 Multiscale Modeling & Simulation 67 Computational Geosciences 67 International Journal of Numerical Analysis and Modeling 62 Inverse Problems and Imaging 59 Computational Mechanics 57 Journal of Applied Mathematics and Computing 55 East Asian Journal on Applied Mathematics 53 Science China. Mathematics 52 SIAM Journal on Optimization 51 Journal of Optimization Theory and Applications 50 Inverse Problems 49 Physica D 48 Journal of Mathematical Chemistry 45 International Journal of Computational Methods 43 Applicable Analysis 43 Applied and Computational Harmonic Analysis 41 Journal of Numerical Mathematics 39 SIAM Journal on Matrix Analysis and Applications 38 Mathematical Methods in the Applied Sciences 38 Journal of Inequalities and Applications 37 Abstract and Applied Analysis 36 Numerical Functional Analysis and Optimization 36 Discrete and Continuous Dynamical Systems. Series S 36 International Journal of Applied and Computational Mathematics 35 European Journal of Mechanics. B. Fluids 35 SIAM/ASA Journal on Uncertainty Quantification 34 Journal of Differential Equations 32 Boundary Value Problems 31 Linear Algebra and its Applications 31 ETNA. Electronic Transactions on Numerical Analysis 30 Fractional Calculus & Applied Analysis 29 Journal of Statistical Physics 29 Chaos, Solitons and Fractals 29 Electronic Research Archive 29 Results in Applied Mathematics 28 Physics of Fluids, A 28 AIMS Mathematics 27 Numerical Mathematics: Theory, Methods and Applications 26 Journal of Engineering Mathematics 26 Wave Motion 26 Archives of Computational Methods in Engineering 26 Kinetic and Related Models 25 Computer Physics Communications 25 ZAMP. Zeitschrift für angewandte Mathematik und Physik 25 SIAM Journal on Applied Mathematics 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 Automatica 24 Journal of Computational Mathematics 24 Computational Mathematics and Mathematical Physics 24 Optimization and Engineering 23 Mathematical Programming. Series A. Series B 23 International Journal of Numerical Methods for Heat & Fluid Flow 23 Optimization Methods & Software 23 Journal of Function Spaces 23 AMM. Applied Mathematics and Mechanics. (English Edition) 22 Journal of Industrial and Management Optimization 22 Inverse Problems in Science and Engineering 22 Journal of the Operations Research Society of China ...and 510 more Journals
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Cited in 59 Fields

 14,184 Numerical analysis (65-XX) 7,172 Partial differential equations (35-XX) 6,567 Fluid mechanics (76-XX) 1,158 Mechanics of deformable solids (74-XX) 1,028 Calculus of variations and optimal control; optimization (49-XX) 883 Operations research, mathematical programming (90-XX) 659 Computer science (68-XX) 611 Biology and other natural sciences (92-XX) 597 Information and communication theory, circuits (94-XX) 576 Statistical mechanics, structure of matter (82-XX) 564 Optics, electromagnetic theory (78-XX) 531 Ordinary differential equations (34-XX) 478 Real functions (26-XX) 461 Probability theory and stochastic processes (60-XX) 412 Geophysics (86-XX) 406 Approximations and expansions (41-XX) 401 Integral equations (45-XX) 344 Classical thermodynamics, heat transfer (80-XX) 342 Linear and multilinear algebra; matrix theory (15-XX) 249 Statistics (62-XX) 233 Dynamical systems and ergodic theory (37-XX) 233 Systems theory; control (93-XX) 229 Operator theory (47-XX) 210 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 197 Harmonic analysis on Euclidean spaces (42-XX) 158 Quantum theory (81-XX) 127 Special functions (33-XX) 102 Global analysis, analysis on manifolds (58-XX) 80 Functional analysis (46-XX) 76 Potential theory (31-XX) 64 Mechanics of particles and systems (70-XX) 62 Differential geometry (53-XX) 51 Astronomy and astrophysics (85-XX) 47 Functions of a complex variable (30-XX) 45 Combinatorics (05-XX) 42 Integral transforms, operational calculus (44-XX) 42 Relativity and gravitational theory (83-XX) 34 Difference and functional equations (39-XX) 25 Convex and discrete geometry (52-XX) 24 General and overarching topics; collections (00-XX) 20 Measure and integration (28-XX) 11 Number theory (11-XX) 10 History and biography (01-XX) 9 Algebraic geometry (14-XX) 9 Mathematics education (97-XX) 8 Sequences, series, summability (40-XX) 6 Geometry (51-XX) 5 General topology (54-XX) 4 Mathematical logic and foundations (03-XX) 4 Manifolds and cell complexes (57-XX) 3 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-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)