Journal of Scientific Computing Short Title: J. Sci. Comput. Publisher: Springer US, New York, NY ISSN: 0885-7474; 1573-7691/e Online: https://link.springer.com/journal/10915/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 3,896 Publications (since 1986) References Indexed: 3,630 Publications with 129,814 References. all top 5 Latest Issues 99, No. 1 (2024) 98, No. 3 (2024) 98, No. 2 (2024) 98, No. 1 (2024) 97, No. 3 (2023) 97, No. 2 (2023) 97, No. 1 (2023) 96, No. 3 (2023) 96, No. 2 (2023) 96, No. 1 (2023) 95, No. 3 (2023) 95, No. 2 (2023) 95, No. 1 (2023) 94, No. 3 (2023) 94, No. 2 (2023) 94, No. 1 (2023) 93, No. 3 (2022) 93, No. 2 (2022) 93, No. 1 (2022) 92, No. 3 (2022) 92, No. 2 (2022) 92, No. 1 (2022) 91, No. 3 (2022) 91, No. 2 (2022) 91, No. 1 (2022) 90, No. 3 (2022) 90, No. 2 (2022) 90, No. 1 (2022) 89, No. 3 (2021) 89, No. 2 (2021) 89, No. 1 (2021) 88, No. 3 (2021) 88, No. 2 (2021) 88, No. 1 (2021) 87, No. 3 (2021) 87, No. 2 (2021) 87, No. 1 (2021) 86, No. 3 (2021) 86, No. 2 (2021) 86, No. 1 (2021) 85, No. 3 (2020) 85, No. 2 (2020) 85, No. 1 (2020) 84, No. 3 (2020) 84, No. 2 (2020) 84, No. 1 (2020) 83, No. 3 (2020) 83, No. 2 (2020) 83, No. 1 (2020) 82, No. 3 (2020) 82, No. 2 (2020) 82, No. 1 (2020) 81, No. 3 (2019) 81, No. 2 (2019) 81, No. 1 (2019) 80, No. 3 (2019) 80, No. 2 (2019) 80, No. 1 (2019) 79, No. 3 (2019) 79, No. 2 (2019) 79, No. 1 (2019) 78, No. 3 (2019) 78, No. 2 (2019) 78, No. 1 (2019) 77, No. 3 (2018) 77, No. 2 (2018) 77, No. 1 (2018) 76, No. 3 (2018) 76, No. 2 (2018) 76, No. 1 (2018) 75, No. 3 (2018) 75, No. 2 (2018) 75, No. 1 (2018) 74, No. 3 (2018) 74, No. 2 (2018) 74, No. 1 (2018) 73, No. 2-3 (2017) 73, No. 1 (2017) 72, No. 3 (2017) 72, No. 2 (2017) 72, No. 1 (2017) 71, No. 3 (2017) 71, No. 2 (2017) 71, No. 1 (2017) 70, No. 3 (2017) 70, No. 2 (2017) 70, No. 1 (2017) 69, No. 3 (2016) 69, No. 2 (2016) 69, No. 1 (2016) 68, No. 3 (2016) 68, No. 2 (2016) 68, No. 1 (2016) 67, No. 3 (2016) 67, No. 2 (2016) 67, No. 1 (2016) 66, No. 3 (2016) 66, No. 2 (2016) 66, No. 1 (2016) 65, No. 3 (2015) ...and 182 more Volumes all top 5 Authors 44 Shu, Chi-Wang 44 Zhang, Zhimin 29 Orszag, Steven Alan 29 Osher, Stanley Joel 27 Qiu, Jianxian 26 Cockburn, Bernardo 26 Gelb, Anne 23 Nordström, Jan 22 Xu, Yan 21 Gottlieb, Sigal 19 Huang, Yunqing 19 Kirby, Robert M. II 19 Kopriva, David Alan 19 Shen, Jie 18 Gassner, Gregor J. 18 Jameson, Antony 18 Kang, Myungjoo 17 Feng, Xinlong 17 Guo, Ben-Yu 17 Hesthaven, Jan S. 16 Abgrall, Rémi 16 Don, Wai Sun 16 He, Yinnian 16 Li, Fengyan 16 Rozza, Gianluigi 16 Wang, Cheng 15 Dumbser, Michael 15 Karageorghis, Andreas 15 Rui, Hongxing 15 Ryan, Jennifer K. 15 Wang, Hong 15 Yin, Wotao 14 Gao, Zhen 14 Hu, Jun 14 Liu, Steve Wenbin 14 Pani, Amiya Kumar 14 Qiu, Jingmei 14 Tang, Tao 13 Chen, Long 13 Chen, Wenbin 13 Chen, Yanping 13 Deng, Weihua 13 Feng, Xiaobing 13 Kurganov, Alexander 13 Li, Ruo 13 Wang, Lilian 13 Xing, Yulong 13 Zhang, Qiang 12 Gottlieb, David I. 12 Huang, Ting-Zhu 12 Ju, Lili 12 Lui, Lok Ming 12 Ng, Michael Kwok-Po 12 Sun, Zhizhong 11 Brenner, Susanne Cecelia 11 Cheng, Yingda 11 Dawson, Clint N. 11 Fernández-Nieto, Enrique Domingo 11 Gatica, Gabriel N. 11 Glowinski, Roland 11 Gustafsson, Bertil 11 Guzmán, Johnny 11 Jung, Jae-Hun 11 Ketcheson, David I. 11 Li, Jichun 11 Mattsson, Ken 11 Ruiz-Baier, Ricardo 11 Sun, Haiwei 11 Tai, Xuecheng 11 Wang, Zhongqing 11 Xia, Yinhua 11 Zeng, Tie Yong 11 Zhang, Yongtao 10 Antonietti, Paola Francesca 10 Baccouch, Mahboub 10 Boyd, John Philip 10 Cao, Waixiang 10 Chen, Minghua 10 Christlieb, Andrew J. 10 Chung, Tsz Shun Eric 10 Deville, Michel O. 10 Ditkowski, Adi 10 Fischer, Paul F. 10 Fu, Guosheng 10 Houston, Paul 10 Leung, Shingyu 10 Parés Madroñal, Carlos 10 Qian, Jianliang 10 Quarteroni, Alfio M. 10 Sjogreen, Bjorn 10 Succi, Sauro 10 Sung, Li-Yeng 10 Temam, Roger Meyer 10 Xie, Hehu 10 Yang, Xiaofeng 10 Zhang, Jiwei 10 Zingg, David W. 9 Chertock, Alina E. 9 Fu, Hongfei 9 Gao, Huadong ...and 5,279 more Authors all top 5 Fields 3,316 Numerical analysis (65-XX) 1,674 Partial differential equations (35-XX) 1,172 Fluid mechanics (76-XX) 195 Calculus of variations and optimal control; optimization (49-XX) 187 Mechanics of deformable solids (74-XX) 172 Computer science (68-XX) 172 Operations research, mathematical programming (90-XX) 162 Optics, electromagnetic theory (78-XX) 121 Information and communication theory, circuits (94-XX) 109 Statistical mechanics, structure of matter (82-XX) 102 Approximations and expansions (41-XX) 100 Linear and multilinear algebra; matrix theory (15-XX) 99 Ordinary differential equations (34-XX) 85 Probability theory and stochastic processes (60-XX) 83 Biology and other natural sciences (92-XX) 79 Real functions (26-XX) 78 Classical thermodynamics, heat transfer (80-XX) 74 Integral equations (45-XX) 57 Geophysics (86-XX) 52 Operator theory (47-XX) 49 Statistics (62-XX) 45 Harmonic analysis on Euclidean spaces (42-XX) 42 Systems theory; control (93-XX) 34 Special functions (33-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Quantum theory (81-XX) 24 Global analysis, analysis on manifolds (58-XX) 22 Potential theory (31-XX) 16 Astronomy and astrophysics (85-XX) 14 Functions of a complex variable (30-XX) 14 Integral transforms, operational calculus (44-XX) 12 General and overarching topics; collections (00-XX) 12 Functional analysis (46-XX) 8 Mechanics of particles and systems (70-XX) 7 Combinatorics (05-XX) 7 Relativity and gravitational theory (83-XX) 6 Differential geometry (53-XX) 5 History and biography (01-XX) 5 Convex and discrete geometry (52-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,176 Publications have been cited 40,859 times in 23,128 Documents Cited by ▼ Year ▼ Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135 Cockburn, Bernardo; Shu, Chi-Wang 776 2001 Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111 Pareschi, Lorenzo; Russo, Giovanni 262 2005 Spectral methods on triangles and other domains. Zbl 0742.76059 Dubiner, Moshe 251 1991 Aerodynamic design via control theory. Zbl 0676.76055 Jameson, Antony 235 1988 Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040 Yakhot, Victor; Orszag, Steven A. 213 1986 ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028 Titarev, V. A.; Toro, E. F. 209 2002 A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046 Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong 206 2000 \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. Zbl 1071.65151 Brenner, Susanne C.; Sung, Li-Yeng 180 2005 Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072 Wang, Yu; Yin, Wotao; Zeng, Jinshan 162 2019 On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036 Deng, Wei; Yin, Wotao 155 2016 A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094 Vincent, P. E.; Castonguay, P.; Jameson, A. 150 2011 A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527 Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 144 2007 A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220 Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 138 2015 High order strong stability preserving time discretizations. Zbl 1203.65135 Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang 134 2009 Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153 Wise, S. M. 132 2010 A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052 Zhang, Xiaoqun; Burger, Martin; Osher, Stanley 131 2011 Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes. Zbl 1247.65131 Zhang, Xiangxiong; Xia, Yinhua; Shu, Chi-Wang 130 2012 Boundary conditions for incompressible flows. Zbl 0648.76023 Orszag, Steven A.; Israeli, Moshe; Deville, Michel O. 129 1986 Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039 Vese, Luminita A.; Osher, Stanley J. 114 2003 A linear energy stable scheme for a thin film model without slope selection. Zbl 1326.76007 Chen, Wenbin; Conde, Sidafa; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 111 2012 On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166 Gottlieb, Sigal 110 2005 Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032 Ding, Weiyang; Wei, Yimin 109 2016 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110 Dumbser, Michael; Toro, Eleuterio F. 109 2011 Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115 Yan, Jue; Shu, Chi-Wang 105 2002 A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257 Wang, Jilu 103 2014 Spectral difference method for unstructured grids. II. Extension to the Euler equations. Zbl 1151.76543 Wang, Z. J.; Liu, Yen; May, Georg; Jameson, Antony 99 2007 Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122 Sidi, Avram; Israeli, Moshe 97 1988 Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143 Rivière, Béatrice 97 2005 A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications. Zbl 1325.65139 Safdari-Vaighani, Ali; Heryudono, Alfa; Larsson, Elisabeth 94 2015 Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269 Kopriva, David A. 92 2006 Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047 Guo, Benyu; Shen, Jie; Wang, Li-Lian 92 2006 An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579 Xu, Jian-Jun; Zhao, Hong-Kai 91 2003 An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. Zbl 0724.76070 Maday, Y.; Patera, Anthony T.; Rønquist, Einar M. 90 1990 On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206 Li, Dong; Qiao, Zhonghua 89 2017 Family of spectral filters for discontinuous problems. Zbl 0752.35003 Vandeven, Hervé 88 1991 Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130 Zhou, Han; Tian, WenYi; Deng, Weihua 88 2013 High-order fluctuation schemes on triangular meshes. Zbl 1068.65133 Abgrall, R.; Roe, P. L. 88 2003 To CG or to HDG: A comparative study. Zbl 1244.65174 Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo 85 2012 Image recovery via nonlocal operators. Zbl 1203.65088 Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea 85 2010 Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032 Ainsworth, M.; Monk, P.; Muniz, W. 84 2006 Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341 Li, Fengyan; Shu, Chi-Wang 84 2005 Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057 Pieraccini, Sandra; Puppo, Gabriella 84 2007 Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063 Hou, Tianliang; Tang, Tao; Yang, Jiang 83 2017 Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044 Goldstein, Tom; Bresson, Xavier; Osher, Stanley 82 2010 Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055 Mattsson, Ken 81 2012 Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121 Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao 80 2017 A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method. Zbl 1375.65137 Cheng, Kelong; Wang, Cheng; Wise, Steven M.; Yue, Xingye 80 2016 Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. Zbl 1297.76126 Gottlieb, Sigal; Wang, Cheng 80 2012 A fully automatic \(hp\)-adaptivity. Zbl 0999.65121 Demkowicz, L.; Rachowicz, W.; Devloo, Ph. 79 2002 Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098 Smereka, Peter 79 2003 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100 Dumbser, Michael; Munz, Claus-Dieter 77 2006 High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302 Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang 77 2006 Stabilized methods for compressible flows. Zbl 1203.76130 Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E. 77 2010 Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem. Zbl 1419.65010 Chen, Hu; Stynes, Martin 76 2019 A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028 Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E. 76 2014 An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060 Perugia, Ilaria; Schötzau, Dominik 75 2002 Stable and accurate artificial dissipation. Zbl 1085.76050 Mattsson, Ken; Svärd, Magnus; Nordström, Jan 75 2004 Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085 Shu, Chi-Wang 74 1990 A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection. Zbl 1305.82034 Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 74 2014 Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization. Zbl 1097.65100 Wang, Z. J.; Liu, Y. 74 2004 An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation. Zbl 1292.65030 Ambikasaran, Sivaram; Darve, Eric 73 2013 Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076 Nordström, Jan 73 2006 A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability. Zbl 1427.65148 Cheng, Kelong; Qiao, Zhonghua; Wang, Cheng 72 2019 \(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation. Zbl 1116.65117 Mozolevski, Igor; Süli, Endre; Bösing, Paulo R. 72 2007 On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199 Kopriva, David A.; Gassner, Gregor 71 2010 A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163 Zhang, Ran; Zhai, Qilong 70 2015 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034 Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 70 2002 Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178 Chen, Luoping; Chen, Yanping 70 2011 Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows. Zbl 1397.76070 Han, Daozhi; Brylev, Alex; Yang, Xiaofeng; Tan, Zhijun 69 2017 Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density. Zbl 1326.76064 Liu, Chun; Shen, Jie; Yang, Xiaofeng 69 2015 Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033 Constantinescu, Emil M.; Sandu, Adrian 68 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 68 2008 Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction. Zbl 1418.65179 Li, Dongfang; Wu, Chengda; Zhang, Zhimin 67 2019 Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. Zbl 1335.65077 Semplice, M.; Coco, A.; Russo, G. 67 2016 A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198 Jameson, Antony 67 2010 A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. Zbl 1319.65079 Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L. 66 2015 Error estimates and superconvergence of mixed finite element methods for convex optimal control problems. Zbl 1203.49042 Chen, Yanping; Huang, Yunqing; Liu, Wenbin; Yan, Ningning 66 2010 A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560 Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley 66 2003 Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065 Pan, Hao; Rui, Hongxing 66 2012 The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations. Zbl 1381.65064 Gao, Guang-hua; Alikhanov, Anatoly A.; Sun, Zhi-zhong 65 2017 Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172 Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang 65 2015 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031 Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 64 2005 A new class of high-order energy stable flux reconstruction schemes for triangular elements. Zbl 1457.65101 Castonguay, P.; Vincent, P. E.; Jameson, A. 64 2012 Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078 Çeşmelioğlu, Ayçıl; Rivière, Béatrice 64 2009 Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation. Zbl 1379.65062 Gu, Xian-Ming; Huang, Ting-Zhu; Ji, Cui-Cui; Carpentieri, Bruno; Alikhanov, Anatoly A. 63 2017 A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176 Ji, Cui-cui; Sun, Zhi-zhong 63 2015 On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations. Zbl 1418.65149 E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 63 2019 Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200 Xie, Ziqing; Li, Xianjuan; Tang, Tao 63 2012 Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations. Zbl 1450.65078 Liao, Hong-lin; Yan, Yonggui; Zhang, Jiwei 62 2019 A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099 Monk, Peter; Richter, Gerard R. 62 2005 An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031 Cockburn, Bernardo; Dong, Bo 62 2007 High order semi-implicit schemes for time dependent partial differential equations. Zbl 1353.65075 Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni 61 2016 Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations. Zbl 1397.65173 Li, Dongfang; Zhang, Jiwei; Zhang, Zhimin 61 2018 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231 Hidalgo, Arturo; Dumbser, Michael 61 2011 A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233 Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 60 2014 Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. Zbl 1282.76134 Xing, Yulong; Zhang, Xiangxiong 60 2013 Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237 Cancès, Eric; Chakir, Rachida; Maday, Yvon 60 2010 An optimal partition problem for eigenvalues. Zbl 1123.65060 Cafferelli, L. A.; Lin, Fang Hua 60 2007 High-order numerical algorithms for Riesz derivatives via constructing new generating functions. Zbl 1398.65030 Ding, Hengfei; Li, Changpin 59 2017 Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091 Després, Bruno; Lagoutière, Frédéric 59 2001 Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system. Zbl 1517.35185 Tang, Yangyang; Zou, Guang-an; Li, Jian 7 2023 Fully discrete discontinuous Galerkin numerical scheme with second-order temporal accuracy for the hydrodynamically coupled lipid vesicle model. Zbl 1517.35188 Zou, Guang-an; Li, Zhaohua; Yang, Xiaofeng 6 2023 Large-scale Bayesian optimal experimental design with derivative-informed projected neural network. 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Zbl 07708330 Ciallella, Mirco; Torlo, Davide; Ricchiuto, Mario 4 2023 Generalised latent assimilation in heterogeneous reduced spaces with machine learning surrogate models. Zbl 07637331 Cheng, Sibo; Chen, Jianhua; Anastasiou, Charitos; Angeli, Panagiota; Matar, Omar K.; Guo, Yi-Ke; Pain, Christopher C.; Arcucci, Rossella 3 2023 The Cartesian grid active flux method with adaptive mesh refinement. Zbl 1516.65072 Calhoun, Donna; Chudzik, Erik; Helzel, Christiane 3 2023 Stability and interpolation properties for Stokes-like virtual element spaces. Zbl 1516.65137 Meng, Jian; Beirão da Veiga, Lourenço; Mascotto, Lorenzo 3 2023 New analysis of mixed finite element methods for incompressible magnetohydrodynamics. Zbl 1516.65132 Huang, Yuchen; Qiu, Weifeng; Sun, Weiwei 3 2023 High-order finite-volume TENO schemes with dual ENO-like stencil selection for unstructured meshes. Zbl 07698936 Ji, Zhe; Liang, Tian; Fu, Lin 3 2023 Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling. Zbl 07698951 Gopalakrishnan, J.; Kogler, L.; Lederer, P. L.; Schöberl, J. 3 2023 Element-free Galerkin analysis of Stokes problems using the reproducing kernel gradient smoothing integration. Zbl 07708344 Li, Xiaolin 3 2023 Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. Zbl 1504.65226 Tominec, Igor; Nazarov, Murtazo 2 2023 Rank properties and computational methods for orthogonal tensor decompositions. Zbl 1504.15087 Zeng, Chao 2 2023 A line search based proximal stochastic gradient algorithm with dynamical variance reduction. Zbl 1518.90104 Franchini, Giorgia; Porta, Federica; Ruggiero, Valeria; Trombini, Ilaria 2 2023 The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models. Zbl 07682834 Yu, Yue; Zhang, Jiansong; Qin, Rong 2 2023 Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. Zbl 07682839 Siena, Pierfrancesco; Girfoglio, Michele; Ballarin, Francesco; Rozza, Gianluigi 2 2023 Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations. Zbl 07682842 Carter, John; Han, Daozhi; Jiang, Nan 2 2023 A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion. Zbl 07766134 Huang, Qiong-Ao; Jiang, Wei; Yang, Jerry Zhijian; Yuan, Cheng 2 2023 Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations. Zbl 07698831 Hu, Dongdong; Fu, Yayun; Cai, Wenjun; Wang, Yushun 2 2023 Strong convergence of forward-reflected-backward splitting methods for solving monotone inclusions with applications to image restoration and optimal control. Zbl 07698833 Izuchukwu, Chinedu; Reich, Simeon; Shehu, Yekini; Taiwo, Adeolu 2 2023 An adaptive time-stepping method for the binary fluid-surfactant phase field model on evolving surfaces. Zbl 07698842 Huang, Shijie; Xiao, Xufeng; Feng, Xinlong 2 2023 A positivity-preserving, energy stable BDF2 scheme with variable steps for the Cahn-Hilliard equation with logarithmic potential. Zbl 07698850 Liu, Qianqian; Jing, Jianyu; Yuan, Maoqin; Chen, Wenbin 2 2023 A viscoelastic Timoshenko beam model: regularity and numerical approximation. Zbl 07698863 Li, Yiqun; Wang, Hong; Zheng, Xiangcheng 2 2023 Goal-oriented sensitivity analysis of hyperparameters in deep learning. Zbl 07698881 Novello, Paul; Poëtte, Gaël; Lugato, David; Congedo, Pietro Marco 2 2023 On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation. Zbl 1518.65096 Zlotnik, Alexander; Čiegis, Raimondas 2 2023 Gradient robust mixed methods for nearly incompressible elasticity. Zbl 1516.65122 Basava, Seshadri R.; Wollner, Winnifried 2 2023 Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes. Zbl 07708326 Yu, Fan; Chen, Minghua 2 2023 A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates. Zbl 07708331 Fu, Hongfei; Zhang, Bingyin; Zheng, Xiangcheng 2 2023 An extended range of energy stable flux reconstruction methods on triangles. Zbl 07708333 Trojak, Will; Vincent, Peter 2 2023 Second order convergence of a modified MAC scheme for Stokes interface problems. Zbl 07708369 Dong, Haixia; Zhao, Zhongshu; Li, Shuwang; Ying, Wenjun; Zhang, Jiwei 2 2023 Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities. Zbl 07742008 Thomann, Andrea; Dumbser, Michael 2 2023 Scale-invariant multi-resolution alternative WENO scheme for the Euler equations. Zbl 1504.65239 Li, Peng; Li, Tingting; Don, Wai-Sun; Wang, Bao-Shan 1 2023 First-order positivity-preserving entropy stable scheme for the 3-D compressible Navier-Stokes equations. Zbl 1504.65215 Upperman, Johnathon; Yamaleev, Nail K. 1 2023 Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. Zbl 1505.76059 Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 1 2023 Kernel-based methods for solving time-dependent advection-diffusion equations on manifolds. Zbl 1504.65007 Yan, Qile; Jiang, Shixiao W.; Harlim, John 1 2023 Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds. Zbl 1504.65237 Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 1 2023 A FEAST SVDsolver based on Chebyshev-Jackson series for computing partial singular triplets of large matrices. Zbl 1526.65013 Jia, Zhongxiao; Zhang, Kailiang 1 2023 An adaptive superfast inexact proximal augmented Lagrangian method for smooth nonconvex composite optimization problems. Zbl 1522.90142 Sujanani, Arnesh; Monteiro, Renato D. C. 1 2023 An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit. Zbl 07777029 Arun, K. R.; Ghorai, Rahuldev; Kar, Mainak 1 2023 A multiscale RBF method for severely ill-posed problems on spheres. Zbl 1528.65029 Zhong, Min; Gia, Quoc Thong Le; Sloan, Ian Hugh 1 2023 An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension. Zbl 07682799 Chiocchetti, Simone; Dumbser, Michael 1 2023 Data assimilation predictive GAN (DA-PredGAN) applied to a spatio-temporal compartmental model in epidemiology. Zbl 1510.68090 Silva, Vinicius L. S.; Heaney, Claire E.; Li, Yaqi; Pain, Christopher C. 1 2023 Locking-free and locally-conservative enriched Galerkin method for poroelasticity. Zbl 1512.65212 Lee, Sanghyun; Yi, Son-Young 1 2023 Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems. Zbl 07682802 Corallo, Daniele; Dörfler, Willy; Wieners, Christian 1 2023 Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems. Zbl 1517.65060 Zhang, Mingzhu; Yi, Lijun 1 2023 Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equations. Zbl 1512.65187 Zhang, Gengen; Jiang, Chaolong; Huang, Hao 1 2023 An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates. Zbl 1512.65255 Xie, Hehu; Xie, Manting; Yin, Xiaobo; Zhao, Gang 1 2023 A family of fast multi-resolution ENO schemes for compressible flows. Zbl 07682616 Li, Yue; Fu, Lin; Adams, Nikolaus A. 1 2023 Discrete adjoint computations for relaxation Runge-Kutta methods. Zbl 1517.49005 Bencomo, Mario J.; Chan, Jesse 1 2023 An interface/boundary-unfitted eXtended HDG method for linear elasticity problems. Zbl 07698825 Han, Yihui; Wang, Xiao-Ping; Xie, Xiaoping 1 2023 On spectral Petrov-Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise. Zbl 07698826 Li, Shengyue; Cao, Wanrong 1 2023 An efficient spectral trust-region deflation method for multiple solutions. Zbl 1516.65146 Li, Lin; Wang, Li-Lian; Li, Huiyuan 1 2023 Truncated and sparse power methods with partially updating for large and sparse higher-order PageRank problems. Zbl 1515.65080 Huang, Jun; Wu, Gang 1 2023 Numerical computation of partial differential equations by hidden-layer concatenated extreme learning machine. Zbl 1515.65046 Ni, Naxian; Dong, Suchuan 1 2023 Proximal quasi-Newton method for composite optimization over the Stiefel manifold. Zbl 1519.90233 Wang, Qinsi; Yang, Wei Hong 1 2023 Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. Zbl 1516.65107 Ling, Dan; Mao, Zhiping 1 2023 All-speed numerical methods for the Euler equations via a sequential explicit time integration. Zbl 07698859 Barsukow, Wasilij 1 2023 Global-in-time \(H^1\)-stability of \(\mathrm{L}2\)-\(1_\sigma\) method on general nonuniform meshes for subdiffusion equation. Zbl 07698865 Quan, Chaoyu; Wu, Xu 1 2023 Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection. Zbl 1515.65233 De Sterck, H.; Falgout, R. D.; Krzysik, O. A.; Schroder, J. B. 1 2023 Sequential image recovery using joint hierarchical Bayesian learning. Zbl 07698875 Xiao, Yao; Glaubitz, Jan 1 2023 A fictitious domain spectral method for solving the Helmholtz equation in exterior domains. Zbl 07698882 Gu, Yiqi; Shen, Jie 1 2023 A fully-decoupled artificial compressible Crank-Nicolson-leapfrog time stepping scheme for the phase field model of two-phase incompressible flows. Zbl 1516.65098 Qian, Lingzhi; Wu, Chunya; Cai, Huiping; Feng, Xinlong; Qiao, Yuanyang 1 2023 Strong stability preserving multistep schemes for forward backward stochastic differential equations. Zbl 1516.65003 Fang, Shuixin; Zhao, Weidong; Zhou, Tao 1 2023 Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems. Zbl 07698899 Liao, Yulei; Ming, Pingbing; Xu, Yun 1 2023 Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices. Zbl 1516.65010 Le Borne, Sabine; Leinen, Willi 1 2023 Error analysis of fully discrete scheme for the Cahn-Hilliard-magneto-hydrodynamics problem. Zbl 1516.65099 Qiu, Hailong 1 2023 ReLU neural network Galerkin BEM. Zbl 07698915 Aylwin, Rubén; Henríquez, Fernando; Schwab, Christoph 1 2023 Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically. Zbl 07698916 Liu, Chein-Shan; Qiu, Lin 1 2023 A dynamic mode decomposition based reduced-order model for parameterized time-dependent partial differential equations. 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Zbl 1480.65258 Huang, Chaobao; Chen, Hu; An, Na 12 2022 A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach. Zbl 1481.65131 Hou, Dianming; Xu, Chuanju 12 2022 ...and 1318 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 22,809 Authors 219 Shu, Chi-Wang 125 Dumbser, Michael 122 Huang, Yunqing 113 Dehghan Takht Fooladi, Mehdi 112 Nordström, Jan 112 Zhang, Zhimin 109 Chen, Yanping 91 Shi, Dongyang 85 Qiu, Jianxian 84 Yang, Xiaofeng 81 He, Yinnian 75 Wang, Cheng 74 Cockburn, Bernardo 71 Rui, Hongxing 69 Karniadakis, George Em 66 Feng, Xinlong 66 Kim, Junseok 66 Li, Jichun 66 Shen, Jie 63 Zhang, Shangyou 62 Hesthaven, Jan S. 60 Wang, Hong 59 Abgrall, Rémi 59 Rozza, Gianluigi 58 Xu, Yan 56 Gassner, Gregor J. 54 Antonietti, Paola Francesca 53 Huang, Ting-Zhu 52 Zhu, Jun 51 Liu, Yang 51 Toro, Eleuterio Francisco 50 Ju, Lili 50 Li, Hong 50 Ye, Xiu 49 Karageorghis, Andreas 49 Kurganov, Alexander 49 Wise, Steven M. 49 Zheng, Xiangcheng 48 Li, Ruo 47 Baccouch, Mahboub 47 Li, Meng 46 Munz, Claus-Dieter 46 Osher, Stanley Joel 46 Zaky, Mahmoud A. 45 Brenner, Susanne Cecelia 45 He, Xiaoming 44 Gibou, Frédéric 44 Huang, Chengming 44 Ruiz-Baier, Ricardo 44 Xu, Da 43 Abbaszadeh, Mostafa 43 Boscheri, Walter 43 Hou, Yanren 43 Simos, Theodore E. 43 Xing, Yulong 43 Yang, Junxiang 42 Chung, Tsz Shun Eric 42 Jameson, Antony 42 Pan, Kejia 42 Sun, Haiwei 41 Dawson, Clint N. 41 Gelb, Anne 41 Liu, Fawang 41 Liu, Hailiang 41 Mei, Liquan 41 Russo, Giovanni 41 Temam, Roger Meyer 41 Xia, Yinhua 40 Balsara, Dinshaw S. 40 Gatica, Gabriel N. 40 Kirby, Robert M. 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