Journal of Scientific Computing Short Title: J. Sci. Comput. Publisher: Springer US, New York, NY ISSN: 0885-7474; 1573-7691/e Online: http://link.springer.com/journal/volumesAndIssues/10915 Comments: Indexed cover-to-cover Documents Indexed: 3,487 Publications (since 1986) References Indexed: 3,226 Publications with 111,881 References. all top 5 Latest Issues 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) 65, No. 2 (2015) 65, No. 1 (2015) 64, No. 3 (2015) 64, No. 2 (2015) 64, No. 1 (2015) 63, No. 3 (2015) 63, No. 2 (2015) 63, No. 1 (2015) 62, No. 3 (2015) 62, No. 2 (2015) 62, No. 1 (2015) 61, No. 3 (2014) 61, No. 2 (2014) 61, No. 1 (2014) 60, No. 3 (2014) ...and 167 more Volumes all top 5 Authors 43 Shu, Chi-Wang 38 Zhang, Zhimin 29 Orszag, Steven Alan 29 Osher, Stanley Joel 26 Cockburn, Bernardo 26 Qiu, Jianxian 25 Gelb, Anne 21 Gottlieb, Sigal 21 Nordström, Jan 20 Xu, Yan 19 Kirby, Robert M. II 19 Kopriva, David Alan 18 Gassner, Gregor J. 18 Huang, Yunqing 18 Jameson, Antony 18 Kang, Myungjoo 17 Guo, Ben-Yu 17 Hesthaven, Jan S. 17 Shen, Jie 16 Don, Wai Sun 16 He, Yinnian 16 Li, Fengyan 15 Feng, Xinlong 15 Karageorghis, Andreas 15 Ryan, Jennifer K. 15 Wang, Cheng 15 Yin, Wotao 14 Abgrall, Rémi 14 Li, Ruo 14 Liu, Steve Wenbin 14 Tang, Tao 14 Wang, Hong 13 Chen, Long 13 Chen, Yanping 13 Dumbser, Michael 13 Feng, Xiaobing 13 Gao, Zhen 13 Qiu, Jingmei 13 Rozza, Gianluigi 13 Rui, Hongxing 12 Gottlieb, David I. 12 Lui, Lok Ming 12 Sun, Zhizhong 12 Xing, Yulong 12 Zhang, Qiang 11 Brenner, Susanne Cecelia 11 Cheng, Yingda 11 Dawson, Clint N. 11 Deng, Weihua 11 Glowinski, Roland 11 Gustafsson, Bertil 11 Huang, Ting-Zhu 11 Jung, Jae-Hun 11 Kurganov, Alexander 11 Li, Jichun 11 Mattsson, Ken 11 Pani, Amiya Kumar 11 Wang, Lilian 11 Zhang, Yongtao 10 Antonietti, Paola Francesca 10 Baccouch, Mahboub 10 Boyd, John Philip 10 Christlieb, Andrew J. 10 Deville, Michel O. 10 Ditkowski, Adi 10 Fernández-Nieto, Enrique Domingo 10 Fischer, Paul F. 10 Fu, Guosheng 10 Guzmán, Johnny 10 Houston, Paul 10 Hu, Jun 10 Ju, Lili 10 Ketcheson, David I. 10 Ng, Michael Kwok-Po 10 Parés Madroñal, Carlos 10 Qian, Jianliang 10 Sjogreen, Bjorn 10 Succi, Sauro 10 Tai, Xuecheng 10 Temam, Roger Meyer 10 Wang, Zhongqing 10 Zeng, Tie Yong 9 Chen, Minghua 9 Chen, Wenbin 9 Chertock, Alina E. 9 Chung, Tsz Shun Eric 9 Gatica, Gabriel N. 9 Ha, Youngsoo 9 Higueras, Inmaculada 9 Kao, Chiu-Yen 9 Kreiss, Gunilla 9 Leung, Shingyu 9 Maday, Yvon 9 Quarteroni, Alfio M. 9 Ruuth, Steven J. 9 Schötzau, Dominik 9 Stynes, Martin 9 Tsynkov, Semyon V. 9 Turkel, Eli L. 9 Xia, Yinhua ...and 4,691 more Authors all top 5 Fields 2,954 Numerical analysis (65-XX) 1,479 Partial differential equations (35-XX) 1,068 Fluid mechanics (76-XX) 169 Calculus of variations and optimal control; optimization (49-XX) 158 Mechanics of deformable solids (74-XX) 149 Optics, electromagnetic theory (78-XX) 138 Operations research, mathematical programming (90-XX) 127 Computer science (68-XX) 106 Information and communication theory, circuits (94-XX) 100 Statistical mechanics, structure of matter (82-XX) 95 Ordinary differential equations (34-XX) 89 Approximations and expansions (41-XX) 86 Linear and multilinear algebra; matrix theory (15-XX) 74 Probability theory and stochastic processes (60-XX) 72 Classical thermodynamics, heat transfer (80-XX) 71 Biology and other natural sciences (92-XX) 66 Real functions (26-XX) 63 Integral equations (45-XX) 55 Geophysics (86-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 38 Systems theory; control (93-XX) 36 Statistics (62-XX) 35 Operator theory (47-XX) 32 Special functions (33-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Quantum theory (81-XX) 22 Global analysis, analysis on manifolds (58-XX) 18 Potential theory (31-XX) 14 Astronomy and astrophysics (85-XX) 13 Functions of a complex variable (30-XX) 11 General and overarching topics; collections (00-XX) 11 Functional analysis (46-XX) 9 Integral transforms, operational calculus (44-XX) 8 Mechanics of particles and systems (70-XX) 7 Relativity and gravitational theory (83-XX) 5 History and biography (01-XX) 5 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Convex and discrete geometry (52-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,806 Publications have been cited 32,534 times in 18,982 Documents Cited by ▼ Year ▼ Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135Cockburn, Bernardo; Shu, Chi-Wang 697 2001 Spectral methods on triangles and other domains. Zbl 0742.76059Dubiner, Moshe 234 1991 Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111Pareschi, Lorenzo; Russo, Giovanni 220 2005 Aerodynamic design via control theory. Zbl 0676.76055Jameson, Antony 209 1988 Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040Yakhot, Victor; Orszag, Steven A. 203 1986 A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong 188 2000 ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028Titarev, V. A.; Toro, E. F. 172 2002 \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. Zbl 1071.65151Brenner, Susanne C.; Sung, Li-Yeng 157 2005 On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036Deng, Wei; Yin, Wotao 137 2016 A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094Vincent, P. E.; Castonguay, P.; Jameson, A. 123 2011 High order strong stability preserving time discretizations. Zbl 1203.65135Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang 121 2009 A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052Zhang, Xiaoqun; Burger, Martin; Osher, Stanley 116 2011 Boundary conditions for incompressible flows. Zbl 0648.76023Orszag, Steven A.; Israeli, Moshe; Deville, Michel O. 116 1986 Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153Wise, S. M. 112 2010 A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 111 2007 Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072Wang, Yu; Yin, Wotao; Zeng, Jinshan 107 2019 A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 106 2015 Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes. Zbl 1247.65131Zhang, Xiangxiong; Xia, Yinhua; Shu, Chi-Wang 104 2012 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110Dumbser, Michael; Toro, Eleuterio F. 101 2011 Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039Vese, Luminita A.; Osher, Stanley J. 98 2003 Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115Yan, Jue; Shu, Chi-Wang 92 2002 On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166Gottlieb, Sigal 91 2005 Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032Ding, Weiyang; Wei, Yimin 90 2016 A linear energy stable scheme for a thin film model without slope selection. Zbl 1326.76007Chen, Wenbin; Conde, Sidafa; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 90 2012 Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122Sidi, Avram; Israeli, Moshe 90 1988 Spectral difference method for unstructured grids. II. Extension to the Euler equations. Zbl 1151.76543Wang, Z. J.; Liu, Yen; May, Georg; Jameson, Antony 87 2007 An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. Zbl 0724.76070Maday, Y.; Patera, Anthony T.; Rønquist, Einar M. 87 1990 Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047Guo, Benyu; Shen, Jie; Wang, Li-Lian 86 2006 Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143Rivière, Béatrice 84 2005 Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269Kopriva, David A. 81 2006 A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications. Zbl 1325.65139Safdari-Vaighani, Ali; Heryudono, Alfa; Larsson, Elisabeth 81 2015 High-order fluctuation schemes on triangular meshes. Zbl 1068.65133Abgrall, R.; Roe, P. L. 81 2003 Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130Zhou, Han; Tian, WenYi; Deng, Weihua 80 2013 Family of spectral filters for discontinuous problems. Zbl 0752.35003Vandeven, Hervé 79 1991 Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032Ainsworth, M.; Monk, P.; Muniz, W. 79 2006 An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579Xu, Jian-Jun; Zhao, Hong-Kai 79 2003 Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057Pieraccini, Sandra; Puppo, Gabriella 77 2007 Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055Mattsson, Ken 76 2012 Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044Goldstein, Tom; Bresson, Xavier; Osher, Stanley 74 2010 To CG or to HDG: A comparative study. Zbl 1244.65174Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo 73 2012 Image recovery via nonlocal operators. Zbl 1203.65088Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea 73 2010 Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098Smereka, Peter 73 2003 On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206Li, Dong; Qiao, Zhonghua 71 2017 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 71 2006 A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257Wang, Jilu 70 2014 An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060Perugia, Ilaria; Schötzau, Dominik 69 2002 Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341Li, Fengyan; Shu, Chi-Wang 68 2005 Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization. Zbl 1097.65100Wang, Z. J.; Liu, Y. 68 2004 A fully automatic \(hp\)-adaptivity. Zbl 0999.65121Demkowicz, L.; Rachowicz, W.; Devloo, Ph. 68 2002 On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199Kopriva, David A.; Gassner, Gregor 67 2010 A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E. 67 2014 High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang 66 2006 Stabilized methods for compressible flows. Zbl 1203.76130Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E. 65 2010 Stable and accurate artificial dissipation. Zbl 1085.76050Mattsson, Ken; Svärd, Magnus; Nordström, Jan 64 2004 Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085Shu, Chi-Wang 64 1990 Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033Constantinescu, Emil M.; Sandu, Adrian 63 2007 A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection. Zbl 1305.82034Chen, Wenbin; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 62 2014 \(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation. Zbl 1116.65117Mozolevski, Igor; Süli, Endre; Bösing, Paulo R. 62 2007 A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley 62 2003 A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163Zhang, Ran; Zhai, Qilong 61 2015 Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178Chen, Luoping; Chen, Yanping 61 2011 A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198Jameson, Antony 61 2010 Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao 60 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 1375.65137Cheng, Kelong; Wang, Cheng; Wise, Steven M.; Yue, Xingye 60 2016 Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes. Zbl 1133.76031Jameson, Antony 60 2008 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 59 2005 An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation. Zbl 1292.65030Ambikasaran, Sivaram; Darve, Eric 58 2013 A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099Monk, Peter; Richter, Gerard R. 58 2005 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 58 2002 Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091Després, Bruno; Lagoutière, Frédéric 57 2001 Error estimates and superconvergence of mixed finite element methods for convex optimal control problems. Zbl 1203.49042Chen, Yanping; Huang, Yunqing; Liu, Wenbin; Yan, Ningning 57 2010 A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382Adams, Scot; Cockburn, Bernardo 56 2005 Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. Zbl 1379.65063Hou, Tianliang; Tang, Tao; Yang, Jiang 55 2017 A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. Zbl 1319.65079Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L. 55 2015 An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031Cockburn, Bernardo; Dong, Bo 55 2007 Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows. Zbl 1397.76070Han, Daozhi; Brylev, Alex; Yang, Xiaofeng; Tan, Zhijun 55 2017 A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176Ji, Cui-cui; Sun, Zhi-zhong 55 2015 Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200Xie, Ziqing; Li, Xianjuan; Tang, Tao 55 2012 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231Hidalgo, Arturo; Dumbser, Michael 54 2011 An optimal partition problem for eigenvalues. Zbl 1123.65060Cafferelli, L. A.; Lin, Fang Hua 54 2007 Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. Zbl 1335.65077Semplice, M.; Coco, A.; Russo, G. 53 2016 Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation. Zbl 1379.65062Gu, Xian-Ming; Huang, Ting-Zhu; Ji, Cui-Cui; Carpentieri, Bruno; Alikhanov, Anatoly A. 53 2017 A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104Guo, Benyu; Shen, Jie; Wang, Zhongqing 53 2000 Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076Nordström, Jan 53 2006 Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065Pan, Hao; Rui, Hongxing 53 2012 Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density. Zbl 1326.76064Liu, Chun; Shen, Jie; Yang, Xiaofeng 53 2015 On the non-linear stability of flux reconstruction schemes. Zbl 1457.65116Jameson, A.; Vincent, P. E.; Castonguay, P. 53 2012 Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers’ equation. Zbl 1297.76126Gottlieb, Sigal; Wang, Cheng 52 2012 A new class of high-order energy stable flux reconstruction schemes for triangular elements. Zbl 1457.65101Castonguay, P.; Vincent, P. E.; Jameson, A. 52 2012 Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078Çeşmelioğlu, Ayçıl; Rivière, Béatrice 52 2009 A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Zbl 1014.65115Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel 52 2002 Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. Zbl 1282.76134Xing, Yulong; Zhang, Xiangxiong 51 2013 Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. Zbl 1203.65252Feng, Xiaobing; Neilan, Michael 51 2009 A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 51 2014 Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055Rønquist, Einar M.; Patera, Anthony T. 51 1987 Hybrid multigrid/Schwarz algorithms for the spectral element method. Zbl 1078.65570Lottes, James W.; Fischer, Paul F. 51 2005 On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes. Zbl 1343.65116Cravero, I.; Semplice, M. 50 2016 On the stability and accuracy of the spectral difference method. Zbl 1203.65132Den Abeele, Kris Van; Lacor, Chris; Wang, Z. J. 50 2008 Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085Tornberg, Anna-Karin; Engquist, Björn 50 2003 Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem. Zbl 1419.65010Chen, Hu; Stynes, Martin 50 2019 Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems. Zbl 07435303Ogwo, G. N.; Izuchukwu, C.; Shehu, Y.; Mewomo, O. T. 7 2022 Scientific machine learning through physics-informed neural networks: where we are and what’s next. Zbl 07568980Cuomo, Salvatore; Schiano Di Cola, Vincenzo; Giampaolo, Fabio; Rozza, Gianluigi; Raissi, Maziar; Piccialli, Francesco 6 2022 Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong 5 2022 Subgradient extragradient method with double inertial steps for variational inequalities. Zbl 07458297Yao, Yonghong; Iyiola, Olaniyi S.; Shehu, Yekini 5 2022 Stability issues of entropy-stable and/or split-form high-order schemes. Analysis of linear stability. Zbl 07477386Gassner, Gregor J.; Svärd, Magnus; Hindenlang, Florian J. 3 2022 Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws. Zbl 07488731Kuzmin, Dmitri; Quezada de Luna, Manuel; Ketcheson, David I.; Grüll, Johanna 3 2022 Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations. Zbl 1483.90161Waziri, Mohammed Yusuf; Ahmed, Kabiru 3 2022 \(\beta\)-robust superconvergent analysis of a finite element method for the distributed order time-fractional diffusion equation. Zbl 1480.65258Huang, Chaobao; Chen, Hu; An, Na 3 2022 A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier. Zbl 1481.65139Lee, Hyun Geun; Shin, Jaemin; Lee, June-Yub 3 2022 Parallel-in-time high-order multiderivative IMEX solvers. Zbl 1481.65105Schütz, Jochen; Seal, David C.; Zeifang, Jonas 3 2022 Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations. Zbl 07458302Yang, Jiang; Yuan, Zhaoming; Zhou, Zhi 3 2022 A class of new high-order finite-volume TENO schemes for hyperbolic conservation laws with unstructured meshes. Zbl 1503.65201Ji, Zhe; Liang, Tian; Fu, Lin 3 2022 Accelerated information gradient flow. Zbl 1484.90059Wang, Yifei; Li, Wuchen 2 2022 Free-boundary conformal parameterization of point clouds. Zbl 1483.65032Choi, Gary P. T.; Liu, Yechen; Lui, Lok Ming 2 2022 Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. Zbl 1478.65079Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano 2 2022 A virtual element method for the wave equation on curved edges in two dimensions. Zbl 1489.65139Dassi, Franco; Fumagalli, Alessio; Mazzieri, Ilario; Scotti, Anna; Vacca, Giuseppe 2 2022 An efficient low-dissipation high-order TENO scheme for MHD flows. Zbl 07454837Fu, Lin 2 2022 Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. Zbl 1481.65060Reichel, Lothar; Ugwu, Ugochukwu O. 2 2022 The operator-splitting method for Cahn-Hilliard is stable. Zbl 07454945Li, Dong; Quan, Chaoyu 2 2022 High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation. Zbl 1481.65134Jiang, Chaolong; Cui, Jin; Qian, Xu; Song, Songhe 2 2022 A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition. Zbl 07458294Yang, Zhipeng; Ming, Ju; Qiu, Changxin; Li, Maojun; He, Xiaoming 2 2022 Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. Zbl 1492.65304Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander 2 2022 Tensor completion via fully-connected tensor network decomposition with regularized factors. Zbl 1498.65064Zheng, Yu-Bang; Huang, Ting-Zhu; Zhao, Xi-Le; Zhao, Qibin 2 2022 A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. Zbl 07550024Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming 2 2022 Convergence analysis of the fully discrete hybridizable discontinuous Galerkin method for the Allen-Cahn equation based on the invariant energy quadratization approach. Zbl 1490.65286Wang, Jiangxing; Pan, Kejia; Yang, Xiaofeng 2 2022 Constrained high-index saddle dynamics for the solution landscape with equality constraints. Zbl 1501.37081Yin, Jianyuan; Huang, Zhen; Zhang, Lei 2 2022 An immersed Raviart-Thomas mixed finite element method for elliptic interface problems on unfitted meshes. Zbl 1490.65278Ji, Haifeng 2 2022 Preconditioners with symmetrized techniques for space fractional Cahn-Hilliard equations. Zbl 1492.65238Huang, Xin; Li, Dongfang; Sun, Hai-Wei; Zhang, Fan 2 2022 Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model. Zbl 1492.35397Liao, Hong-lin; Ji, Bingquan; Wang, Lin; Zhang, Zhimin 2 2022 Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations. Zbl 1492.65239Ju, Lili; Li, Xiao; Qiao, Zhonghua 2 2022 Nonlinear transform induced tensor nuclear norm for tensor completion. Zbl 1497.65084Li, Ben-Zheng; Zhao, Xi-Le; Ji, Teng-Yu; Zhang, Xiong-Jun; Huang, Ting-Zhu 2 2022 A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations. Zbl 1497.65130Lyu, Pin; Vong, Seakweng 2 2022 Staggered DG method with small edges for Darcy flows in fractured porous media. Zbl 1493.65243Zhao, Lina; Kim, Dohyun; Park, Eun-Jae; Chung, Eric 1 2022 Error analysis of an unfitted HDG method for a class of non-linear elliptic problems. Zbl 1483.65192Sánchez, Nestor; Sánchez-Vizuet, Tonatiuh; Solano, Manuel 1 2022 Optimal convergence and long-time conservation of exponential integration for Schrödinger equations in a normal or highly oscillatory regime. Zbl 07488706Wang, Bin; Jiang, Yaolin 1 2022 On robustly convergent and efficient iterative methods for anisotropic radiative transfer. Zbl 1487.65036Dölz, Jürgen; Palii, Olena; Schlottbom, Matthias 1 2022 Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws. Zbl 1486.65098Chouchoulis, Jeremy; Schütz, Jochen; Zeifang, Jonas 1 2022 Optimal strong convergence of finite element methods for one-dimensional stochastic elliptic equations with fractional noise. 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Zbl 1501.65047Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya 15 2021 Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. Zbl 1465.65154Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong 11 2021 ...and 1360 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,338 Authors 203 Shu, Chi-Wang 109 Dumbser, Michael 98 Dehghan Takht Fooladi, Mehdi 98 Huang, Yunqing 95 Nordström, Jan 93 Chen, Yanping 84 Zhang, Zhimin 77 Qiu, Jianxian 72 Cockburn, Bernardo 72 He, Yinnian 68 Shi, Dongyang 66 Yang, Xiaofeng 64 Wang, Cheng 59 Karniadakis, George Em 59 Shen, Jie 57 Li, Jichun 57 Rui, Hongxing 52 Hesthaven, Jan S. 52 Zhang, Shangyou 51 Feng, Xinlong 50 Abgrall, Rémi 50 Kim, Junseok 50 Wang, Hong 49 Xu, Yan 48 Gassner, Gregor J. 48 Karageorghis, Andreas 48 Rozza, Gianluigi 46 Huang, Ting-Zhu 45 Antonietti, Paola Francesca 45 Toro, Eleuterio Francisco 43 Ye, Xiu 43 Zhu, Jun 42 Baccouch, Mahboub 42 Brenner, Susanne Cecelia 41 Ju, Lili 41 Kurganov, Alexander 41 Munz, Claus-Dieter 41 Temam, Roger Meyer 41 Wise, Steven M. 40 Jameson, Antony 40 Osher, Stanley Joel 39 Gibou, Frédéric 39 Liu, Hailiang 38 Balsara, Dinshaw S. 38 Chung, Tsz Shun Eric 38 Dawson, Clint N. 38 Wang, Zhijian 37 Abbaszadeh, Mostafa 37 Bürger, Raimund 37 Guo, Ben-Yu 37 Qiu, Jingmei 37 Russo, Giovanni 36 Cheng, Yingda 36 He, Xiaoming 36 Hou, Yanren 36 Huang, Chengming 36 Li, Ruo 36 Simos, Theodore E. 36 Wang, Lilian 36 Xing, Yulong 35 Boscheri, Walter 35 Boyd, John Philip 35 Kirby, Robert M. 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