# zbMATH — the first resource for mathematics

## 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: 3,053 Publications (since 1986) References Indexed: 2,794 Publications with 93,293 References.
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#### Latest Issues

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#### Authors

 42 Shu, Chi-Wang 33 Zhang, Zhimin 29 Orszag, Steven Alan 28 Osher, Stanley Joel 26 Cockburn, Bernardo 24 Gelb, Anne 23 Qiu, Jianxian 21 Gottlieb, Sigal 21 Nordström, Jan 19 Kopriva, David Alan 18 Kang, Myungjoo 18 Xu, Yan 17 Gassner, Gregor J. 17 Guo, Ben-Yu 17 Hesthaven, Jan S. 17 Huang, Yunqing 17 Jameson, Antony 17 Shen, Jie 17 Wang, Cheng 15 Karageorghis, Andreas 14 Don, Wai Sun 14 Li, Fengyan 14 Li, Ruo 14 Liu, Steve Wenbin 14 Ryan, Jennifer K. 13 Chen, Yanping 13 He, Yinnian 13 Qiu, Jingmei 12 Abgrall, Rémi 12 Feng, Xiaobing 12 Rui, Hongxing 12 Sun, Zhizhong 12 Tang, Tao 12 Yin, Wotao 11 Chen, Long 11 Dawson, Clint N. 11 Gao, Zhen 11 Gustafsson, Bertil 11 Jung, Jae-Hun 11 Li, Jichun 11 Lui, Lok Ming 11 Wang, Hong 11 Wang, Lilian 11 Zhang, Yongtao 10 Baccouch, Mahboub 10 Boyd, John Philip 10 Brenner, Susanne Cecelia 10 Deng, Weihua 10 Deville, Michel O. 10 Ditkowski, Adi 10 Dumbser, Michael 10 Feng, Xinlong 10 Fischer, Paul F. 10 Houston, Paul 10 Hu, Jun 10 Mattsson, Ken 10 Pani, Amiya Kumar 10 Parés Madroñal, Carlos 10 Qian, Jianliang 10 Rozza, Gianluigi 10 Sjogreen, Bjorn 10 Succi, Sauro 10 Xing, Yulong 9 Antonietti, Paola Francesca 9 Christlieb, Andrew J. 9 Guzmán, Johnny 9 Ha, Youngsoo 9 Higueras, Inmaculada 9 Kao, Chiu-Yen 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 9 Zhang, Qiang 8 Chen, Wenbin 8 Cheng, Yingda 8 Fernández-Nieto, Enrique Domingo 8 Fu, Guosheng 8 Gao, Huadong 8 Glowinski, Roland 8 Gottlieb, David I. 8 Guo, Wei 8 Huang, Ting-Zhu 8 Jackiewicz, Zdzislaw 8 Jung, Miyoun 8 Ketcheson, David I. 8 Kurganov, Alexander 8 Liu, Hailiang 8 Maday, Yvon 8 Min, Chohong 8 Mulet, Pep 8 Ng, Michael Kwok-Po 8 Ruuth, Steven J. 8 Sun, Pengtao 8 van der Vegt, Jaap J. W. 8 Winters, Andrew R. ...and 4,058 more Authors
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#### Fields

 2,562 Numerical analysis (65-XX) 1,214 Partial differential equations (35-XX) 932 Fluid mechanics (76-XX) 137 Calculus of variations and optimal control; optimization (49-XX) 128 Optics, electromagnetic theory (78-XX) 124 Mechanics of deformable solids (74-XX) 103 Operations research, mathematical programming (90-XX) 91 Information and communication theory, circuits (94-XX) 90 Ordinary differential equations (34-XX) 86 Computer science (68-XX) 84 Statistical mechanics, structure of matter (82-XX) 81 Approximations and expansions (41-XX) 67 Biology and other natural sciences (92-XX) 63 Probability theory and stochastic processes (60-XX) 61 Classical thermodynamics, heat transfer (80-XX) 59 Integral equations (45-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 46 Real functions (26-XX) 43 Geophysics (86-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 30 Systems theory; control (93-XX) 29 Statistics (62-XX) 28 Dynamical systems and ergodic theory (37-XX) 26 Special functions (33-XX) 25 Quantum theory (81-XX) 24 Operator theory (47-XX) 24 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 General and overarching topics; collections (00-XX) 12 Functions of a complex variable (30-XX) 12 Functional analysis (46-XX) 10 Astronomy and astrophysics (85-XX) 8 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) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX)

#### Citations contained in zbMATH Open

2,333 Publications have been cited 23,495 times in 14,463 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
Dubiner, Moshe
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
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
2000
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
2005
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
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
2011
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
2007
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153
Wise, S. M.
2010
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
1988
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
2011
A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094
Vincent, P. E.; Castonguay, P.; Jameson, A.
2011
Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039
Vese, Luminita A.; Osher, Stanley J.
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.
1990
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
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
2006
On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166
Gottlieb, Sigal
2005
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115
Yan, Jue; Shu, Chi-Wang
2002
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
2003
Family of spectral filters for discontinuous problems. Zbl 0752.35003
Vandeven, Hervé
1991
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
2003
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
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
2013
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
Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143
Rivière, Béatrice
2005
Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044
Goldstein, Tom; Bresson, Xavier; Osher, Stanley
2010
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
2006
Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072
Wang, Yu; Yin, Wotao; Zeng, Jinshan
2019
Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098
Smereka, Peter
2003
A fully automatic $$hp$$-adaptivity. Zbl 0999.65121
Demkowicz, L.; Rachowicz, W.; Devloo, Ph.
2002
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
Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057
Pieraccini, Sandra; Puppo, Gabriella
2007
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
2010
Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085
Shu, Chi-Wang
1990
To CG or to HDG: A comparative study. Zbl 1244.65174
Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo
2012
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2015
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
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
Stable and accurate artificial dissipation. Zbl 1085.76050
Mattsson, Ken; Svärd, Magnus; Nordström, Jan
2004
Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055
Mattsson, Ken
2012
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
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
2005
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
Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341
Li, Fengyan; Shu, Chi-Wang
2005
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
2003
On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199
Kopriva, David A.; Gassner, Gregor
2010
An optimal partition problem for eigenvalues. Zbl 1123.65060
Cafferelli, L. A.; Lin, Fang Hua
2007
A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104
Guo, Benyu; Shen, Jie; Wang, Zhongqing
2000
Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033
Constantinescu, Emil M.; Sandu, Adrian
2007
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
A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028
Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E.
2014
A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Zbl 1014.65115
Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel
2002
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
2003
Parallel multi-block ADMM with $$o(1/k)$$ convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
2017
Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091
Després, Bruno; Lagoutière, Frédéric
2001
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231
Hidalgo, Arturo; Dumbser, Michael
2011
Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076
Nordström, Jan
2006
A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382
Adams, Scot; Cockburn, Bernardo
2005
Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055
Rønquist, Einar M.; Patera, Anthony T.
1987
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 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
Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas
2001
An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031
Cockburn, Bernardo; Dong, Bo
2007
A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198
Jameson, Antony
2010
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
On coordinate transformations for summation-by-parts operators. Zbl 1057.65054
Svärd, M.
2004
An improvement of a recent Eulerian method for solving PDEs on general geometries. Zbl 1122.65073
Greer, John B.
2006
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 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
A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257
Wang, Jilu
2014
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
2017
Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178
Chen, Luoping; Chen, Yanping
2011
General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128
Melenk, J. M.; Parsania, A.; Sauter, S.
2013
A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176
Ji, Cui-cui; Sun, Zhi-zhong
2015
On the stability and accuracy of the spectral difference method. Zbl 1203.65132
Den Abeele, Kris Van; Lacor, Chris; Wang, Z. J.
2008
On strong stability preserving time discretization methods. Zbl 1074.65095
2004
Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200
Xie, Ziqing; Li, Xianjuan; Tang, Tao
2012
Long time behavior of the perfectly matched layer equations in computational electromagnetics. Zbl 1005.78014
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
2002
Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. Zbl 1203.65252
Feng, Xiaobing; Neilan, Michael
2009
A fast direct solver for a class of elliptic partial differential equations. Zbl 1203.65066
Martinsson, Per-Gunnar
2009
Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078
Çeşmelioğlu, Ayçıl; Rivière, Béatrice
2009
Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065
Pan, Hao; Rui, Hongxing
2012
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163
Zhang, Ran; Zhai, Qilong
2015
Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods. Zbl 1203.65073
Tang, J. M.; Nabben, R.; Vuik, C.; Erlangga, Y. A.
2009
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
A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. Zbl 1143.76047
Lörcher, F.; Gassner, G.; Munz, C.-D.
2007
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
Higher-order TV methods – enhancement via Bregman iteration. Zbl 1308.94012
Benning, Martin; Brune, Christoph; Burger, Martin; Müller, Jahn
2013
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
2015
Spectral polynomial chaos solutions of the stochastic advection equation. Zbl 1001.76084
Jardak, M.; Su, C.-H.; Karniadakis, G. E.
2002
A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. Zbl 07347011
Fresca, Stefania; Dede&rsquo;, Luca; Manzoni, Andrea
2021
Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems. Zbl 07358941
Liu, Hailiang; Maimaitiyiming, Wumaier
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
IDENT: identifying differential equations with numerical time evolution. Zbl 1467.65102
Kang, Sung Ha; Liao, Wenjing; Liu, Yingjie
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
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
Acceleration of primal-dual methods by preconditioning and simple subproblem procedures. Zbl 1464.49018
Liu, Yanli; Xu, Yunbei; Yin, Wotao
2021
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. Zbl 07358937
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
2021
Backward difference formulae: the energy technique for subdiffusion equation. Zbl 07358943
Chen, Minghua; Yu, Fan; Zhou, Zhi
2021
Matrix equation techniques for certain evolutionary partial differential equations. Zbl 07359303
Palitta, Davide
2021
Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps. Zbl 07359308
Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan
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
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
Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions. Zbl 1433.65247
Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E.
2020
Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential. Zbl 1434.65222
Yang, Xiaofeng; Zhang, Guo-Dong
2020
Relaxation Runge-Kutta methods for Hamiltonian problems. Zbl 1456.65050
Ranocha, Hendrik; Ketcheson, David I.
2020
Energy stable numerical schemes for ternary Cahn-Hilliard system. Zbl 1447.65098
Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M.
2020
Superconvergence of a finite element method for the multi-term time-fractional diffusion problem. Zbl 1447.65078
Huang, Chaobao; Stynes, Martin
2020
Penalty-free any-order weak Galerkin FEMs for elliptic problems on quadrilateral meshes. Zbl 1440.65219
Liu, Jiangguo; Tavener, Simon; Wang, Zhuoran
2020
A general non-hydrostatic hyperbolic formulation for Boussinesq dispersive shallow flows and its numerical approximation. Zbl 1435.76015
Escalante, C.; Morales de Luna, Tomás
2020
Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions. Zbl 1445.65036
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin
2020
Well-balanced high-order finite volume methods for systems of balance laws. Zbl 1440.65109
Castro, Manuel J.; Parés, Carlos
2020
Entropy-stable, high-order summation-by-parts discretizations without interface penalties. Zbl 1434.65184
Hicken, Jason E.
2020
A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach. Zbl 1436.65104
Jiang, Chaolong; Gong, Yuezheng; Cai, Wenjun; Wang, Yushun
2020
Regularization technique for an inverse space-fractional backward heat conduction problem. Zbl 1440.65125
2020
Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. Zbl 1442.65340
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei
2020
Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data. Zbl 1447.65092
Sun, Jing; Nie, Daxin; Deng, Weihua
2020
Superconvergence of $$C^0-Q^k$$ finite element method for elliptic equations with approximated coefficients. Zbl 1434.65267
Li, Hao; Zhang, Xiangxiong
2020
A modular Grad-div stabilization for the 2D/3D nonstationary incompressible magnetohydrodynamic equations. Zbl 1448.76195
Lu, Xiaoli; Huang, Pengzhan
2020
Implicit discontinuous Galerkin method for the Boltzmann equation. Zbl 1434.65191
Su, Wei; Wang, Peng; Zhang, Yonghao; Wu, Lei
2020
A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. Zbl 1435.65135
Zhao, Yong-Liang; Zhu, Pei-Yong; Gu, Xian-Ming; Zhao, Xi-Le; Jian, Huan-Yan
2020
Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations. Zbl 1456.65116
Li, Binjie; Wang, Tao; Xie, Xiaoping
2020
Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S.
2020
A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties. Zbl 1440.65247
Gervasio, Paola; Dedè, Luca; Chanon, Ondine; Quarteroni, Alfio
2020
Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data. Zbl 1447.65032
Wang, Yanyong; Yan, Yuyuan; Yan, Yubin; Pani, Amiya K.
2020
Adaptive inexact semismooth Newton methods for the contact problem between two membranes. Zbl 07229481
Dabaghi, Jad; Martin, Vincent; Vohralík, Martin
2020
An efficient formulation of Chebyshev tau method for constant coefficients systems of multi-order FDEs. Zbl 1429.65146
Faghih, A.; Mokhtary, P.
2020
A new hybrid staggered discontinuous Galerkin method on general meshes. Zbl 1448.65252
Zhao, Lina; Park, Eun-Jae
2020
A characteristic-wise alternative WENO-Z finite difference scheme for solving the compressible multicomponent non-reactive flows in the overestimated quasi-conservative form. Zbl 1448.76130
Don, Wai Sun; Li, Dong-Mei; Gao, Zhen; Wang, Bao-Shan
2020
A parallel Newton multigrid framework for monolithic fluid-structure interactions. Zbl 07161485
Failer, L.; Richter, T.
2020
Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse. Zbl 1440.65100
Sarumi, Ibrahim O.; Furati, Khaled M.; Khaliq, Abdul Q. M.
2020
Kernel based high order “Explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations. Zbl 07174106
Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon
2020
A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry. Zbl 1435.65211
Wang, Fei; Wu, Shuonan; Xu, Jinchao
2020
Correction of high-order BDF convolution quadrature for fractional Feynman-Kac equation with Lévy flight. Zbl 07271241
Shi, Jiankang; Chen, Minghua
2020
Variable smoothing for convex optimization problems using stochastic gradients. Zbl 1453.90118
Boţ, Radu Ioan; Böhm, Axel
2020
Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation. Zbl 1458.65127
Li, Changpin; Li, Zhiqiang; Wang, Zhen
2020
A globally convergent algorithm for a constrained non-Lipschitz image restoration model. Zbl 1455.94037
Wang, Weina; Wu, Chunlin; Tai, Xue-Cheng
2020
Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation. Zbl 1436.65143
Li, Xiaole; Xing, Yulong; Chou, Ching-Shan
2020
Robust equilibrated error estimator for diffusion problems: mixed finite elements in two dimensions. Zbl 1437.65177
Cai, Difeng; Cai, Zhiqiang; Zhang, Shun
2020
Structure-preserving numerical approximations to a non-isothermal hydrodynamic model of binary fluid flows. Zbl 1440.35278
Sun, Shouwen; Li, Jun; Zhao, Jia; Wang, Qi
2020
Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations. Zbl 1442.65220
Li, Dongfang; Sun, Weiwei
2020
Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems with jump conditions. Zbl 1447.65090
Rupp, Andreas; Lee, Sanghyun
2020
A stable radial basis function partition of unity method with $$d$$-rectangular patches for modelling water flow in porous media. Zbl 1444.35059
Ben-Ahmed, El Hassan; Sadik, Mohamed; Wakrim, Mohamed
2020
Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations. Zbl 1445.76055
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Xing, Yulong
2020
Adaptive flux-only least-squares finite element methods for linear transport equations. Zbl 1448.76103
Liu, Qinjie; Zhang, Shun
2020
Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equations with nonsmooth data. Zbl 1435.65229
Li, Binjie; Wang, Tao; Xie, Xiaoping
2020
On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation. Zbl 1434.65247
Cui, Ming; Zhang, Shangyou
2020
Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension. Zbl 1440.65131
Chen, Anqi; Cheng, Yingda; Liu, Yong; Zhang, Mengping
2020
Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential. Zbl 1434.65143
Wang, Xiuhua; Kou, Jisheng; Cai, Jianchao
2020
Online mixed multiscale finite element method with oversampling and its applications. Zbl 1448.76106
Yang, Yanfang; Fu, Shubin; Chung, Eric T.
2020
Adaptive radial basis function methods for initial value problems. Zbl 07174101
Gu, Jiaxi; Jung, Jae-Hun
2020
An adaptive homotopy method for computing bifurcations of nonlinear parametric systems. Zbl 1437.37111
Hao, Wenrui; Zheng, Chunyue
2020
A monolithic arbitrary Lagrangian-Eulerian finite element analysis for a Stokes/parabolic moving interface problem. Zbl 1434.65264
Lan, Rihui; Sun, Pengtao
2020
Numerical analysis of a BDF2 modular grad-div stabilization method for the Navier-Stokes equations. Zbl 1436.76046
Rong, Y.; Fiordilino, J. A.
2020
Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media. Zbl 1452.65220
Adjerid, Slimane; Lin, Tao; Zhuang, Qiao
2020
Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes. Zbl 1451.65208
Zhang, Jin; Liu, Xiaowei
2020
An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation. Zbl 1450.65092
Zhang, Haixiang; Yang, Xuehua; Xu, Da
2020
A quasi-conservative discontinuous Galerkin method for solving five equation model of compressible two-medium flows. Zbl 1460.76638
Cheng, Jian; Zhang, Fan; Liu, Tiegang
2020
An optimal transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm. Zbl 07271240
Di Marino, Simone; Gerolin, Augusto
2020
The nonconforming virtual element method for a stationary Stokes hemivariational inequality with slip boundary condition. Zbl 1456.65163
Ling, Min; Wang, Fei; Han, Weimin
2020
Time-fractional Allen-Cahn equations: analysis and numerical methods. Zbl 1456.65062
Du, Qiang; Yang, Jiang; Zhou, Zhi
2020
An efficient numerical algorithm for solving data driven feedback control problems. Zbl 07299276
Archibald, Richard; Bao, Feng; Yong, Jiongmin; Zhou, Tao
2020
Cauchy noise removal by weighted nuclear norm minimization. Zbl 1455.94025
Kim, Geonwoo; Cho, Junghee; Kang, Myungjoo
2020
A linearized finite difference scheme for the Richards equation under variable-flux boundary conditions. Zbl 1433.76113
Fengnan, Liu; Fukumoto, Yasuhide; Zhao, Xiaopeng
2020
A characteristic-featured shock wave indicator for conservation laws based on training an artificial neuron. Zbl 1437.65136
Feng, Yiwei; Liu, Tiegang; Wang, Kun
2020
A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078
Bouchut, François; Franck, Emmanuel; Navoret, Laurent
2020
Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media. Zbl 1434.76063
Cai, Wentao; Wang, Jilu; Wang, Kai
2020
A rigorous condition number estimate of an immersed finite element method. Zbl 1437.65202
Wang, Saihua; Wang, Feng; Xu, Xuejun
2020
Eulerian model for simulating multi-fluid flows with an arbitrary number of immiscible compressible components. Zbl 1434.76143
Zhang, Chao; Menshov, Igor
2020
A Riemannian optimization approach for solving the generalized eigenvalue problem for nonsquare matrix pencils. Zbl 1439.65048
Li, Jiao-Fen; Li, Wen; Vong, Seak-Weng; Luo, Qi-Lun; Xiao, Mingqing
2020
Numerical solution of Monge-Kantorovich equations via a dynamic formulation. Zbl 1437.65135
Facca, Enrico; Daneri, Sara; Cardin, Franco; Putti, Mario
2020
Entropy stable discontinuous Galerkin schemes on moving meshes for hyperbolic conservation laws. Zbl 1437.65142
Schnücke, Gero; Krais, Nico; Bolemann, Thomas; Gassner, Gregor J.
2020
Two-dimensional RBF-ENO method on unstructured grids. Zbl 1437.65118
Hesthaven, Jan S.; Mönkeberg, Fabian
2020
Effect of mesh quality on flux reconstruction in multi-dimensions. Zbl 1437.65146
Trojak, Will; Watson, Rob; Scillitoe, Ashley; Tucker, Paul G.
2020
Accurate eigenvalues of some generalized sign regular matrices via relatively robust representations. Zbl 1439.65047
Huang, Rong
2020
Approximation of the zero-index transmission eigenvalues with a conductive boundary and parameter estimation. Zbl 1447.65145
Harris, Isaac
2020
Accurate and efficient spectral methods for elliptic PDEs in complex domains. Zbl 1440.65160
Gu, Yiqi; Shen, Jie
2020
POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. Zbl 1444.49013
Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi
2020
Image denoising using $$L^p$$-norm of mean curvature of image surface. Zbl 1457.94034
Zhu, Wei
2020
Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states. Zbl 1444.76070
Nie, Daxin; Sun, Jing; Deng, Weihua
2020
An H2N2 interpolation for Caputo derivative with order in $$(1,2)$$ and its application to time-fractional wave equations in more than one space dimension. Zbl 1439.65098
Shen, Jinye; Li, Changpin; Sun, Zhi-zhong
2020
Group sparse representation for restoring blurred images with Cauchy noise. Zbl 1457.94019
Lee, Sangwon; Kang, Myungjoo
2020
A posteriori error estimates of virtual element method for a simplified friction problem. Zbl 1442.65360
Deng, Yanling; Wang, Fei; Wei, Huayi
2020
An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. Zbl 1442.65369
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria
2020
Fully-discrete analysis of high-order spatial discretizations with optimal explicit Runge-Kutta methods. Zbl 1442.65221
Pereira, Carlos A.; Vermeire, Brian C.
2020
Inconsistent surface registration via optimization of mapping distortions. Zbl 1435.65042
Qiu, Di; Lui, Lok Ming
2020
The fine error estimation of collocation methods on uniform meshes for weakly singular Volterra integral equations. Zbl 1456.65184
Liang, Hui; Brunner, Hermann
2020
Two-level Schwarz methods for a discontinuous Galerkin approximation of elliptic problems with jump coefficients. Zbl 07219847
Liu, Yingzhi; He, Yinnian
2020
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#### Cited by 15,537 Authors

 171 Shu, Chi-Wang 91 Dumbser, Michael 81 Dehghan Takht Fooladi, Mehdi 81 Nordström, Jan 70 Huang, Yunqing 64 Cockburn, Bernardo 64 Zhang, Zhimin 63 Chen, Yanping 57 Shi, Dongyang 55 Shen, Jie 53 Qiu, Jianxian 51 Karniadakis, George Em 50 Li, Jichun 50 Wang, Cheng 49 He, Yinnian 47 Rui, Hongxing 45 Karageorghis, Andreas 44 Yang, Xiaofeng 43 Hesthaven, Jan S. 40 Toro, Eleuterio F. 39 Baccouch, Mahboub 39 Brenner, Susanne Cecelia 39 Wang, Hong 38 Gassner, Gregor J. 38 Huang, Ting-Zhu 38 Xu, Yan 37 Temam, Roger Meyer 37 Zhang, Shangyou 36 Abgrall, Rémi 36 Gibou, Frédéric 36 Guo, Ben-Yu 36 Jameson, Antony 36 Osher, Stanley Joel 35 Boyd, John Philip 35 Dawson, Clint N. 35 Rozza, Gianluigi 34 Munz, Claus-Dieter 33 Antonietti, Paola Francesca 33 Balsara, Dinshaw S. 33 Bürger, Raimund 33 Wang, Lilian 33 Ye, Xiu 32 Feng, Xinlong 32 Gelb, Anne 31 Cheng, Yingda 31 Huang, Chengming 31 Lowengrub, John Samuel 30 Abbaszadeh, Mostafa 30 Liu, Hailiang 30 Mu, Lin 30 Ruiz-Baier, Ricardo 30 Sengupta, Tapan K. 30 Sun, Zhizhong 30 Wise, Steven M. 29 Qian, Jianliang 29 Wu, Boying 28 Hou, Yanren 28 Maday, Yvon 28 Qiu, Jingmei 28 Quarteroni, Alfio M. 27 Chung, Tsz Shun Eric 27 He, Xiaoming 27 Houston, Paul 27 Ju, Lili 27 Kang, Myungjoo 27 Kurganov, Alexander 27 Mulet, Pep 27 Sun, Shuyu 27 Vong, Seakweng 27 Xing, Yulong 26 Don, Wai Sun 26 Gunzburger, Max D. 26 Jackiewicz, Zdzislaw 26 Kim, Junseok 26 Mei, Liquan 26 Sherwin, Spencer J. 26 Zhang, Mengping 26 Zhu, Jun 25 Carpenter, Mark H. 25 Christlieb, Andrew J. 25 Deng, Weihua 25 Fedkiw, Ronald P. 25 Nelakanti, Gnaneshwar 25 Schötzau, Dominik 25 Wang, Zhongqing 25 Yang, Yidu 24 Castro, Manuel J. 24 Jin, Shi 24 Kopriva, David Alan 24 Li, Fengyan 24 Li, Huiyuan 24 Li, Ruo 24 Liu, Fawang 24 Sandu, Adrian 24 Shi, Baochang 24 Simos, Theodore E. 24 Yuan, Xiaoming 23 Fu, Hongfei 23 Gatica, Gabriel N. 23 Mattsson, Ken ...and 15,437 more Authors
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 2,102 Journal of Computational Physics 1,616 Journal of Scientific Computing 634 Journal of Computational and Applied Mathematics 626 Computers & Mathematics with Applications 611 Applied Numerical Mathematics 584 Computer Methods in Applied Mechanics and Engineering 569 Computers and Fluids 473 SIAM Journal on Scientific Computing 448 Applied Mathematics and Computation 275 SIAM Journal on Numerical Analysis 250 Mathematics of Computation 222 Numerical Algorithms 175 Journal of Fluid Mechanics 173 Numerische Mathematik 166 Advances in Computational Mathematics 149 Numerical Methods for Partial Differential Equations 126 Applied Mathematical Modelling 126 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 115 Engineering Analysis with Boundary Elements 113 International Journal for Numerical Methods in Fluids 105 Applied Mathematics Letters 104 International Journal for Numerical Methods in Engineering 103 Physics of Fluids 103 Computational and Applied Mathematics 84 Mathematics and Computers in Simulation 82 Journal of Mathematical Analysis and Applications 82 International Journal of Computer Mathematics 81 Mathematical Problems in Engineering 76 BIT 74 Calcolo 72 Journal of Mathematical Imaging and Vision 66 Communications in Nonlinear Science and Numerical Simulation 64 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 64 Computational Optimization and Applications 63 Discrete and Continuous Dynamical Systems. Series B 61 SIAM Journal on Imaging Sciences 56 Multiscale Modeling & Simulation 54 Computational Geosciences 52 Inverse Problems and Imaging 48 Computational Mechanics 43 Inverse Problems 42 SIAM Journal on Optimization 42 Computational Methods in Applied Mathematics 42 Advances in Difference Equations 42 Science China. Mathematics 42 East Asian Journal on Applied Mathematics 40 Journal of Optimization Theory and Applications 38 Mathematical Methods in the Applied Sciences 38 Applied and Computational Harmonic Analysis 37 Abstract and Applied Analysis 37 International Journal of Computational Methods 35 Physica D 33 Journal of Mathematical Chemistry 32 Applicable Analysis 32 Numerical Functional Analysis and Optimization 32 Journal of Numerical Mathematics 31 SIAM Journal on Matrix Analysis and Applications 31 SIAM/ASA Journal on Uncertainty Quantification 29 Journal of Differential Equations 28 Physics of Fluids, A 28 Linear Algebra and its Applications 28 International Journal of Computational Fluid Dynamics 28 European Journal of Mechanics. B. Fluids 26 Journal of Statistical Physics 26 Archives of Computational Methods in Engineering 24 Computer Physics Communications 23 International Journal of Numerical Methods for Heat & Fluid Flow 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 SIAM Journal on Applied Mathematics 22 Kinetic and Related Models 21 Wave Motion 21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 21 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Discrete and Continuous Dynamical Systems. Series S 20 Theoretical and Computational Fluid Dynamics 20 ETNA. Electronic Transactions on Numerical Analysis 20 Fractional Calculus & Applied Analysis 20 Journal of Applied Mathematics and Computing 20 Communications on Applied Mathematics and Computation 19 Bulletin of Mathematical Biology 19 Computational Mathematics and Mathematical Physics 19 Numerical Linear Algebra with Applications 19 Journal of Inequalities and Applications 19 Journal of Applied Analysis and Computation 19 Electronic Research Archive 18 Journal of Engineering Mathematics 18 Automatica 18 Frontiers of Mathematics in China 18 Research in the Mathematical Sciences 18 International Journal of Applied and Computational Mathematics 17 Computing and Visualization in Science 17 Acta Numerica 17 Journal of the Operations Research Society of China 17 Results in Applied Mathematics 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Japan Journal of Industrial and Applied Mathematics 16 Mathematical Programming. Series A. Series B 15 Discrete and Continuous Dynamical Systems 15 Optimization Methods & Software 15 Chaos ...and 433 more Journals
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