## 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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### 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)

### 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
2001
Spectral methods on triangles and other domains. Zbl 0742.76059
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1991
Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040
Yakhot, Victor; Orszag, Steven A.
1986
Aerodynamic design via control theory. Zbl 0676.76055
Jameson, Antony
1988
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
2005
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
Boundary conditions for incompressible flows. Zbl 0648.76023
Orszag, Steven A.; Israeli, Moshe; Deville, Michel O.
1986
High order strong stability preserving time discretizations. Zbl 1203.65135
Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang
2009
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
2010
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
2011
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
2011
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
2007
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
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
2012
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
2003
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
2019
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
2002
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
1988
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
2005
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
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.
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
2007
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
2006
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
2003
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
2005
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
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.
2006
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
2003
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
1991
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
2007
Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269
Kopriva, David A.
2006
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
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
2003
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
2010
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
2012
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
2006
Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044
Goldstein, Tom; Bresson, Xavier; Osher, Stanley
2010
An $$hp$$-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
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.
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
2015
A fully automatic $$hp$$-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
2002
Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055
Mattsson, Ken
2012
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
1990
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
2006
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
2014
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
2005
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
2004
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
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
2017
Parallel multi-block ADMM with $$o(1/k)$$ convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
2017
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
2005
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
2003
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
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.
2014
ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034
Schwartzkopff, T.; Munz, C. D.; Toro, E. F.
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.
2007
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
2010
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
2007
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
2006
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
2007
Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091
Després, Bruno; Lagoutière, Frédéric
2001
Hidalgo, Arturo; Dumbser, Michael
2011
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
2015
A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382
2005
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
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
2010
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
2007
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
2011
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
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.
2017
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
2005
Hybrid multigrid/Schwarz algorithms for the spectral element method. Zbl 1078.65570
Lottes, James W.; Fischer, Paul F.
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 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
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
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
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
2002
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
2003
Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055
Rønquist, Einar M.; Patera, Anthony T.
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
2017
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
On the stability and accuracy of the spectral difference method. Zbl 1203.65132
Den Abeele, Kris Van; Lacor, Chris; Wang, Z. J.
2008
On coordinate transformations for summation-by-parts operators. Zbl 1057.65054
Svärd, M.
2004
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
2009
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
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.
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
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
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
2014
Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
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.
2012
General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128
Melenk, J. M.; Parsania, A.; Sauter, S.
2013
A $$C^0$$-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
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
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.
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
Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications. Zbl 07444775
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 07444778
Aryeni, T.; Deng, Q.; Ginting, V.
2022
Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations. Zbl 1483.90161
Waziri, Mohammed Yusuf; Ahmed, Kabiru
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
Parallel-in-time high-order multiderivative IMEX solvers. Zbl 1481.65105
Schütz, Jochen; Seal, David C.; Zeifang, Jonas
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
Subgradient extragradient method with double inertial steps for variational inequalities. Zbl 07458297
Yao, Yonghong; Iyiola, Olaniyi S.; Shehu, Yekini
2022
Entropy stable flux correction for scalar hyperbolic conservation laws. Zbl 07488720
Kivva, Sergii
2022
Inertial-type algorithm for solving split common fixed point problems in Banach spaces. Zbl 07301290
Taiwo, A.; Jolaoso, L. O.; Mewomo, O. T.
2021
Solving the Kolmogorov PDE by means of deep learning. Zbl 07389370
Beck, Christian; Becker, Sebastian; Grohs, Philipp; Jaafari, Nor; Jentzen, Arnulf
2021
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
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
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
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
2021
IDENT: identifying differential equations with numerical time evolution. Zbl 1467.65102
Kang, Sung Ha; Liao, Wenjing; Liu, Yingjie
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
2021
Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems. Zbl 1471.35277
Liu, Hailiang; Maimaitiyiming, Wumaier
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
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.
2021
A virtual element method for the Steklov eigenvalue problem allowing small edges. Zbl 1479.35677
Lepe, Felipe; Mora, David; Rivera, Gonzalo; Velásquez, Iván
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
2021
The unified theory of shifted convolution quadrature for fractional calculus. Zbl 07395830
Liu, Yang; Yin, Baoli; Li, Hong; Zhang, Zhimin
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
2021
DeC and ADER: similarities, differences and a unified framework. Zbl 1459.76086
Han Veiga, Maria; Öffner, Philipp; Torlo, Davide
2021
Implicit multirate GARK methods. Zbl 1471.65084
Roberts, Steven; Loffeld, John; Sarshar, Arash; Woodward, Carol S.; Sandu, Adrian
2021
Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling. Zbl 1466.65225
Lu, Chuan; Zhu, Xueyu
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
2021
Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. Zbl 1475.65065
Carrillo, H.; Parés, C.; Zorío, D.
2021
Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248
Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane
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
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
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
2021
Registration-based model reduction in complex two-dimensional geometries. Zbl 07389376
2021
Relaxed forward-backward splitting methods for solving variational inclusions and applications. Zbl 07389382
Cholamjiak, Prasit; Van Hieu, Dang; Cho, Yeol Je
2021
Mixed finite element method for a hemivariational inequality of stationary Navier-Stokes equations. Zbl 1477.65216
Han, Weimin; Czuprynski, Kenneth; Jing, Feifei
2021
An unfitted finite element method for two-phase Stokes problems with slip between phases. Zbl 07413659
Olshanskii, Maxim; Quaini, Annalisa; Sun, Qi
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
2021
The active flux scheme for nonlinear problems. Zbl 1457.65068
Barsukow, Wasilij
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.
2021
Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems. Zbl 07384735
Bonaventura, Luca; Calzola, Elisa; Carlini, Elisabetta; Ferretti, Roberto
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
2021
A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. Zbl 1466.65099
Chen, Hao; Sun, Hai-Wei
2021
Leng, Haitao
2021
An efficient iterative method for reconstructing surface from point clouds. Zbl 1471.49002
Wang, Dong
2021
Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws. Zbl 1465.65087
Wibisono, Indra; Yanuar; Kosasih, Engkos A.
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
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
2021
Topology-preserving 3D image segmentation based on hyperelastic regularization. Zbl 1470.94027
Zhang, Daoping; Lui, Lok Ming
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
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
2021
Matrix equation techniques for certain evolutionary partial differential equations. Zbl 1470.65069
Palitta, Davide
2021
A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations. Zbl 1481.65151
Qin, Hongyu; Li, Dongfang; Zhang, Zhimin
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
2021
Yang, Zhen-Ping; Zhang, Jin; Wang, Yuliang; Lin, Gui-Hua
2021
Coupled iterative analysis for stationary inductionless magnetohydrodynamic system based on charge-conservative finite element method. Zbl 07389336
Zhang, Xiaodi; Ding, Qianqian
2021
An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation. Zbl 1476.90318
Zhu, Hong; Ng, Michael K.; Song, Guang-Jing
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
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
2021
Generalized continuation Newton methods and the trust-region updating strategy for the underdetermined system. Zbl 07389353
Luo, Xin-long; Xiao, Hang
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
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
2021
Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis. Zbl 07389366
Deng, Beichuan; Shen, Jie; Zhuang, Qingqu
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
2021
A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation. Zbl 07389371
Qi, Longzhao; Hou, Yanren
2021
Last-passage Monte Carlo algorithm for charge density on a conducting spherical surface. Zbl 07389379
Yu, Unjong; Lee, Young-Min; Hwang, Chi-Ok
2021
Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation. Zbl 07394066
Dehghan, Mehdi; Gharibi, Zeinab
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
2021
Pseudospectral roaming contour integral methods for convection-diffusion equations. Zbl 07395834
Guglielmi, Nicola; López-Fernández, María; Manucci, Mattia
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
2021
Inverses of SBP-SAT finite difference operators approximating the first and second derivative. Zbl 07408885
Eriksson, Sofia
2021
The BDF3/EP3 scheme for MBE with no slope selection is stable. Zbl 07408888
Li, Dong; Quan, Chaoyu; Yang, Wen
2021
Singularly perturbed reaction-diffusion problems as first order systems. Zbl 07413656
Franz, Sebastian
2021
Accurate boundary treatment for Riesz space fractional diffusion equations. Zbl 07413660
Tang, Shaoqiang; Pang, Gang
2021
Efficient spectral methods for quasi-equilibrium closure approximations of symmetric problems on unit circle and sphere. Zbl 07413661
Jiang, Shan; Yu, Haijun
2021
Parallel algorithms for successive convolution. Zbl 1458.65122
Christlieb, Andrew J.; Guthrey, Pierson T.; Sands, William A.; Thavappiragasm, Mathialakan
2021
FFT-based high order central difference schemes for Poisson’s equation with staggered boundaries. Zbl 1456.65140
Feng, Hongsong; Long, Guangqing; Zhao, Shan
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
2021
Exact splitting methods for kinetic and Schrödinger equations. Zbl 1459.35341
Bernier, Joackim; Crouseilles, Nicolas; Li, Yingzhe
2021
Complexity of proximal augmented Lagrangian for nonconvex optimization with nonlinear equality constraints. Zbl 07316869
Xie, Yue; Wright, Stephen J.
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
2021
Extremal rearrangement problems involving Poisson’s equation with Robin boundary conditions. Zbl 1462.35422
2021
Stable dynamical adaptive mesh refinement. Zbl 1459.76093
Lundquist, Tomas; Nordström, Jan; Malan, Arnaud
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
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
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
2021
Smoothing strategy along with conjugate gradient algorithm for signal reconstruction. Zbl 1462.90143
Wu, Caiying; Wang, Jing; Alcantara, Jan Harold; Chen, Jein-Shan
2021
A linearized compact ADI scheme for semilinear parabolic problems with distributed delay. Zbl 1466.65076
Qin, Hongyu; Wu, Fengyan; Zhang, Jiwei; Mu, Chunlai
2021
Superconvergent flux recovery of the Rannacher-Turek nonconforming element. Zbl 1462.65195
Li, Yuwen
2021
Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data. Zbl 1467.65006
Cavoretto, Roberto
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.
2021
Adaptive HDG methods for the Brinkman equations with application to optimal control. Zbl 1462.49055
Leng, Haitao; Chen, Huangxin
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
2021
Orthogonal dual graph-regularized nonnegative matrix factorization for co-clustering. Zbl 1466.62359
Tang, Jiayi; Wan, Zhong
2021
...and 1392 more Documents
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### Cited by 17,570 Authors

 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. ...and 17,470 more Authors
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 2,394 Journal of Computational Physics 1,718 Journal of Scientific Computing 696 Journal of Computational and Applied Mathematics 684 Computers & Mathematics with Applications 669 Applied Numerical Mathematics 660 Computer Methods in Applied Mechanics and Engineering 650 Computers and Fluids 536 Applied Mathematics and Computation 524 SIAM Journal on Scientific Computing 292 SIAM Journal on Numerical Analysis 267 Numerical Algorithms 263 Mathematics of Computation 232 Communications in Computational Physics 204 Journal of Fluid Mechanics 190 Numerische Mathematik 187 Advances in Computational Mathematics 179 International Journal of Computer Mathematics 168 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 156 Advances in Applied Mathematics and Mechanics 149 Numerical Methods for Partial Differential Equations 149 Applied Mathematical Modelling 143 Computational and Applied Mathematics 136 Applied Mathematics Letters 123 Engineering Analysis with Boundary Elements 118 Mathematics and Computers in Simulation 113 International Journal for Numerical Methods in Fluids 104 International Journal for Numerical Methods in Engineering 103 Physics of Fluids 89 Calcolo 84 Journal of Mathematical Analysis and Applications 83 BIT 81 Mathematical Problems in Engineering 80 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 80 Communications in Nonlinear Science and Numerical Simulation 78 SIAM Journal on Imaging Sciences 75 Journal of Mathematical Imaging and Vision 72 Computational Methods in Applied Mathematics 71 Computational Optimization and Applications 71 International Journal of Computational Fluid Dynamics 68 Discrete and Continuous Dynamical Systems. Series B 65 Computational Geosciences 64 Multiscale Modeling & Simulation 62 Communications on Applied Mathematics and Computation 61 Advances in Difference Equations 59 International Journal of Numerical Analysis and Modeling 57 Computational Mechanics 57 Inverse Problems and Imaging 53 East Asian Journal on Applied Mathematics 50 Inverse Problems 47 Science China. Mathematics 46 SIAM Journal on Optimization 45 Journal of Optimization Theory and Applications 42 International Journal of Computational Methods 41 Physica D 41 Journal of Mathematical Chemistry 39 Applied and Computational Harmonic Analysis 39 Journal of Applied Mathematics and Computing 38 Applicable Analysis 38 Mathematical Methods in the Applied Sciences 37 Abstract and Applied Analysis 36 SIAM Journal on Matrix Analysis and Applications 34 Numerical Functional Analysis and Optimization 34 Journal of Numerical Mathematics 33 Journal of Inequalities and Applications 33 European Journal of Mechanics. B. Fluids 32 Journal of Differential Equations 31 SIAM/ASA Journal on Uncertainty Quantification 29 Linear Algebra and its Applications 29 Discrete and Continuous Dynamical Systems. Series S 29 Electronic Research Archive 28 Journal of Statistical Physics 28 Physics of Fluids, A 28 International Journal of Applied and Computational Mathematics 26 Archives of Computational Methods in Engineering 25 Kinetic and Related Models 24 Computer Physics Communications 24 Journal of Engineering Mathematics 24 Wave Motion 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 SIAM Journal on Applied Mathematics 23 International Journal of Numerical Methods for Heat & Fluid Flow 23 ETNA. Electronic Transactions on Numerical Analysis 23 Fractional Calculus & Applied Analysis 22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 22 Boundary Value Problems 22 Inverse Problems in Science and Engineering 22 Journal of the Operations Research Society of China 21 Optimization and Engineering 21 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Results in Applied Mathematics 20 Theoretical and Computational Fluid Dynamics 20 Automatica 20 Computational Mathematics and Mathematical Physics 19 Bulletin of Mathematical Biology 19 Numerical Linear Algebra with Applications 19 Journal of Applied Analysis and Computation 19 Research in the Mathematical Sciences 19 AIMS Mathematics 18 Chaos, Solitons and Fractals 18 Mathematical Programming. Series A. Series B ...and 470 more Journals
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### Cited in 58 Fields

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