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. all top 5 Latest Issues 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) 60, No. 2 (2014) 60, No. 1 (2014) 59, No. 3 (2014) 59, No. 2 (2014) 59, No. 1 (2014) 58, No. 3 (2014) 58, No. 2 (2014) 58, No. 1 (2014) 57, No. 3 (2013) 57, No. 2 (2013) 57, No. 1 (2013) 56, No. 3 (2013) 56, No. 2 (2013) 56, No. 1 (2013) 55, No. 3 (2013) ...and 152 more Volumes all top 5 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 all top 5 Fields 2,563 Numerical analysis (65-XX) 1,215 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) 55 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,337 Publications have been cited 23,548 times in 14,496 Documents Cited by ▼ Year ▼ Runge–Kutta discontinuous Galerkin methods for convection-dominated problems. Zbl 1065.76135Cockburn, Bernardo; Shu, Chi-Wang 603 2001 Spectral methods on triangles and other domains. Zbl 0742.76059Dubiner, Moshe 215 1991 Renormalization group analysis of turbulence. I: Basic theory. Zbl 0648.76040Yakhot, Victor; Orszag, Steven A. 184 1986 Aerodynamic design via control theory. Zbl 0676.76055Jameson, Antony 175 1988 A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong 171 2000 Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111Pareschi, Lorenzo; Russo, Giovanni 151 2005 ADER: Arbitrary high-order Godunov approach. Zbl 1024.76028Titarev, V. A.; Toro, E. F. 134 2002 \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. Zbl 1071.65151Brenner, Susanne C.; Sung, Li-Yeng 121 2005 On the global and linear convergence of the generalized alternating direction method of multipliers. Zbl 1379.65036Deng, Wei; Yin, Wotao 112 2016 Boundary conditions for incompressible flows. Zbl 0648.76023Orszag, Steven A.; Israeli, Moshe; Deville, Michel O. 108 1986 High order strong stability preserving time discretizations. Zbl 1203.65135Gottlieb, Sigal; Ketcheson, David I.; Shu, Chi-Wang 102 2009 A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052Zhang, Xiaoqun; Burger, Martin; Osher, Stanley 100 2011 A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Zbl 1151.76527Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik 88 2007 Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. Zbl 1203.76153Wise, S. M. 85 2010 A new class of high-order energy stable flux reconstruction schemes. Zbl 1433.76094Vincent, P. E.; Castonguay, P.; Jameson, A. 82 2011 Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122Sidi, Avram; Israeli, Moshe 82 1988 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110Dumbser, Michael; Toro, Eleuterio F. 82 2011 Modeling textures with total variation minimization and oscillating patterns in image processing. Zbl 1034.49039Vese, Luminita A.; Osher, Stanley J. 81 2003 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. 81 1990 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 80 2012 Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047Guo, Benyu; Shen, Jie; Wang, Li-Lian 76 2006 On high order strong stability preserving Runge-Kutta and multi step time discretizations. Zbl 1203.65166Gottlieb, Sigal 74 2005 Local discontinuous Galerkin methods for partial differential equations with higher order derivatives. Zbl 1003.65115Yan, Jue; Shu, Chi-Wang 73 2002 An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579Xu, Jian-Jun; Zhao, Hong-Kai 73 2003 Family of spectral filters for discontinuous problems. Zbl 0752.35003Vandeven, Hervé 72 1991 High-order fluctuation schemes on triangular meshes. Zbl 1068.65133Abgrall, R.; Roe, P. L. 71 2003 Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032Ainsworth, M.; Monk, P.; Muniz, W. 70 2006 Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130Zhou, Han; Tian, WenYi; Deng, Weihua 70 2013 Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. Zbl 1065.76143Rivière, Béatrice 69 2005 Spectral difference method for unstructured grids. II. Extension to the Euler equations. Zbl 1151.76543Wang, Z. J.; Liu, Yen; May, Georg; Jameson, Antony 69 2007 Geometric applications of the split Bregman method: segmentation and surface reconstruction. Zbl 1203.65044Goldstein, Tom; Bresson, Xavier; Osher, Stanley 66 2010 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 65 2006 Global convergence of ADMM in nonconvex nonsmooth optimization. Zbl 1462.65072Wang, Yu; Yin, Wotao; Zeng, Jinshan 65 2019 Semi-implicit level set methods for curvature and surface diffusion motion. Zbl 1035.65098Smereka, Peter 64 2003 A fully automatic \(hp\)-adaptivity. Zbl 0999.65121Demkowicz, L.; Rachowicz, W.; Devloo, Ph. 62 2002 An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060Perugia, Ilaria; Schötzau, Dominik 62 2002 Image recovery via nonlocal operators. Zbl 1203.65088Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea 61 2010 Implicit-explicit schemes for BGK kinetic equations. Zbl 1115.76057Pieraccini, Sandra; Puppo, Gabriella 61 2007 Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization. Zbl 1097.65100Wang, Z. J.; Liu, Y. 61 2004 A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou 61 2015 Numerical experiments on the accuracy of ENO and modified ENO schemes. Zbl 0732.65085Shu, Chi-Wang 61 1990 To CG or to HDG: A comparative study. Zbl 1244.65174Kirby, Robert M.; Sherwin, Spencer J.; Cockburn, Bernardo 60 2012 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 59 2015 Solving multi-linear systems with \(\mathcal {M}\)-tensors. Zbl 1371.65032Ding, Weiyang; Wei, Yimin 58 2016 Metric identities and the discontinuous spectral element method on curvilinear meshes. Zbl 1178.76269Kopriva, David A. 58 2006 Stable and accurate artificial dissipation. Zbl 1085.76050Mattsson, Ken; Svärd, Magnus; Nordström, Jan 57 2004 Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients. Zbl 1252.65055Mattsson, Ken 56 2012 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 54 2005 Stabilized methods for compressible flows. Zbl 1203.76130Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E. 54 2010 High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang 54 2006 \(hp\)-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. 53 2007 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 53 2002 Locally divergence-free discontinuous Galerkin methods for MHD equations. Zbl 1123.76341Li, Fengyan; Shu, Chi-Wang 52 2005 On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. Zbl 1203.65199Kopriva, David A.; Gassner, Gregor 51 2010 A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley 51 2003 An optimal partition problem for eigenvalues. Zbl 1123.65060Cafferelli, L. A.; Lin, Fang Hua 50 2007 A rational approximation and its applications to differential equations on the half line. Zbl 0984.65104Guo, Benyu; Shen, Jie; Wang, Zhongqing 49 2000 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. 49 2012 A stabilized Nitsche fictitious domain method for the Stokes problem. Zbl 1417.76028Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E. 49 2014 Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033Constantinescu, Emil M.; Sandu, Adrian 49 2007 Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao 48 2017 A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Zbl 1014.65115Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel 48 2002 Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085Tornberg, Anna-Karin; Engquist, Björn 48 2003 Contact discontinuity capturing schemes for linear advection and compressible gas dynamics. Zbl 0999.76091Després, Bruno; Lagoutière, Frédéric 47 2001 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231Hidalgo, Arturo; Dumbser, Michael 47 2011 Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076Nordström, Jan 46 2006 A mixed finite element method for elasticity in three dimensions. Zbl 1125.74382Adams, Scot; Cockburn, Bernardo 46 2005 A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099Monk, Peter; Richter, Gerard R. 45 2005 Hybrid multigrid/Schwarz algorithms for the spectral element method. Zbl 1078.65570Lottes, James W.; Fischer, Paul F. 45 2005 Error estimates and superconvergence of mixed finite element methods for convex optimal control problems. Zbl 1203.49042Chen, Yanping; Huang, Yunqing; Liu, Wenbin; Yan, Ningning 45 2010 Spectral element multigrid. I: Formulation and numerical results. Zbl 0666.65055Rønquist, Einar M.; Patera, Anthony T. 45 1987 A proof of the stability of the spectral difference method for all orders of accuracy. Zbl 1203.65198Jameson, Antony 44 2010 An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems. Zbl 1143.76031Cockburn, Bernardo; Dong, Bo 44 2007 Some aspects of the method of fundamental solutions for certain harmonic problems. Zbl 0995.65116Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas 44 2001 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 43 2013 On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206Li, Dong; Qiao, Zhonghua 43 2017 A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257Wang, Jilu 42 2014 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. 42 2015 A high-order compact finite difference scheme for the fractional sub-diffusion equation. Zbl 1328.65176Ji, Cui-cui; Sun, Zhi-zhong 42 2015 On coordinate transformations for summation-by-parts operators. Zbl 1057.65054Svärd, M. 42 2004 An improvement of a recent Eulerian method for solving PDEs on general geometries. Zbl 1122.65073Greer, John B. 42 2006 A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. Zbl 1218.76027Gassner, G.; Lörcher, F.; Munz, C.-D. 42 2008 General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128Melenk, J. M.; Parsania, A.; Sauter, S. 41 2013 Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods. Zbl 1246.65178Chen, Luoping; Chen, Yanping 41 2011 On strong stability preserving time discretization methods. Zbl 1074.65095Higueras, Inmaculada 40 2004 Convergence analysis of spectral Galerkin methods for Volterra type integral equations. Zbl 1273.65200Xie, Ziqing; Li, Xianjuan; Tang, Tao 40 2012 On the stability and accuracy of the spectral difference method. Zbl 1203.65132Den Abeele, Kris Van; Lacor, Chris; Wang, Z. J. 40 2008 A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order. Zbl 1331.65163Zhang, Ran; Zhai, Qilong 39 2015 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. 39 2014 Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. Zbl 1203.65252Feng, Xiaobing; Neilan, Michael 39 2009 A fast direct solver for a class of elliptic partial differential equations. Zbl 1203.65066Martinsson, Per-Gunnar 39 2009 Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. Zbl 1203.76078Çeşmelioğlu, Ayçıl; Rivière, Béatrice 39 2009 Mixed element method for two-dimensional Darcy-Forchheimer model. Zbl 1326.76065Pan, Hao; Rui, Hongxing 39 2012 Long time behavior of the perfectly matched layer equations in computational electromagnetics. Zbl 1005.78014Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S. 39 2002 Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods. Zbl 1203.65073Tang, J. M.; Nabben, R.; Vuik, C.; Erlangga, Y. A. 38 2009 A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. Zbl 1307.65153Chen, Long; Wang, Junping; Ye, Xiu 37 2014 Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang 37 2015 A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. Zbl 1143.76047Lörcher, F.; Gassner, G.; Munz, C.-D. 37 2007 Higher-order TV methods – enhancement via Bregman iteration. Zbl 1308.94012Benning, Martin; Brune, Christoph; Burger, Martin; Müller, Jahn 37 2013 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 37 2008 A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. Zbl 07347011Fresca, Stefania; Dede’, Luca; Manzoni, Andrea 3 2021 Preconditioning techniques for the numerical solution of flow in fractured porous media. Zbl 1456.65139Antonietti, Paola F.; De Ponti, Jacopo; Formaggia, Luca; Scotti, Anna 2 2021 Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems. Zbl 07358941Liu, Hailiang; Maimaitiyiming, Wumaier 2 2021 Stability and error estimate of the operator splitting method for the phase field crystal equation. Zbl 1456.65136Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; He, Yinnian 1 2021 Inertial-type algorithm for solving split common fixed point problems in Banach spaces. Zbl 07301290Taiwo, A.; Jolaoso, L. O.; Mewomo, O. T. 1 2021 IDENT: identifying differential equations with numerical time evolution. Zbl 1467.65102Kang, Sung Ha; Liao, Wenjing; Liu, Yingjie 1 2021 Superconvergent flux recovery of the Rannacher-Turek nonconforming element. Zbl 1462.65195Li, Yuwen 1 2021 Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data. Zbl 1467.65006Cavoretto, Roberto 1 2021 On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey 1 2021 Acceleration of primal-dual methods by preconditioning and simple subproblem procedures. Zbl 1464.49018Liu, Yanli; Xu, Yunbei; Yin, Wotao 1 2021 Poly-Sinc solution of stochastic elliptic differential equations. Zbl 07353298Youssef, Maha; Pulch, Roland 1 2021 A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. Zbl 07358937Zhang, Min; Huang, Weizhang; Qiu, Jianxian 1 2021 Backward difference formulae: the energy technique for subdiffusion equation. Zbl 07358943Chen, Minghua; Yu, Fan; Zhou, Zhi 1 2021 Matrix equation techniques for certain evolutionary partial differential equations. Zbl 07359303Palitta, Davide 1 2021 Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps. Zbl 07359308Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan 1 2021 Numerical solution of the parametric diffusion equation by deep neural networks. Zbl 07384734Geist, Moritz; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold; Kutyniok, Gitta 1 2021 Solving the Kolmogorov PDE by means of deep learning. Zbl 07389370Beck, Christian; Becker, Sebastian; Grohs, Philipp; Jaafari, Nor; Jentzen, Arnulf 1 2021 Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions. Zbl 1433.65247Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 15 2020 Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential. Zbl 1434.65222Yang, Xiaofeng; Zhang, Guo-Dong 8 2020 Relaxation Runge-Kutta methods for Hamiltonian problems. Zbl 1456.65050Ranocha, Hendrik; Ketcheson, David I. 7 2020 Superconvergence of a finite element method for the multi-term time-fractional diffusion problem. Zbl 1447.65078Huang, Chaobao; Stynes, Martin 6 2020 Energy stable numerical schemes for ternary Cahn-Hilliard system. Zbl 1447.65098Chen, Wenbin; Wang, Cheng; Wang, Shufen; Wang, Xiaoming; Wise, Steven M. 6 2020 Well-balanced high-order finite volume methods for systems of balance laws. Zbl 1440.65109Castro, Manuel J.; Parés, Carlos 5 2020 Entropy-stable, high-order summation-by-parts discretizations without interface penalties. Zbl 1434.65184Hicken, Jason E. 5 2020 Penalty-free any-order weak Galerkin FEMs for elliptic problems on quadrilateral meshes. Zbl 1440.65219Liu, Jiangguo; Tavener, Simon; Wang, Zhuoran 5 2020 A general non-hydrostatic hyperbolic formulation for Boussinesq dispersive shallow flows and its numerical approximation. Zbl 1435.76015Escalante, C.; Morales de Luna, Tomás 5 2020 Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions. Zbl 1445.65036Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin 5 2020 Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients. Zbl 1434.65267Li, Hao; Zhang, Xiangxiong 4 2020 A modular Grad-div stabilization for the 2D/3D nonstationary incompressible magnetohydrodynamic equations. Zbl 1448.76195Lu, Xiaoli; Huang, Pengzhan 4 2020 Implicit discontinuous Galerkin method for the Boltzmann equation. Zbl 1434.65191Su, Wei; Wang, Peng; Zhang, Yonghao; Wu, Lei 4 2020 A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. Zbl 1435.65135Zhao, Yong-Liang; Zhu, Pei-Yong; Gu, Xian-Ming; Zhao, Xi-Le; Jian, Huan-Yan 4 2020 A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach. Zbl 1436.65104Jiang, Chaolong; Gong, Yuezheng; Cai, Wenjun; Wang, Yushun 4 2020 Regularization technique for an inverse space-fractional backward heat conduction problem. Zbl 1440.65125Karimi, Milad; Moradlou, Fridoun; Hajipour, Mojtaba 4 2020 Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. Zbl 1442.65340Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei 4 2020 Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data. Zbl 1447.65092Sun, Jing; Nie, Daxin; Deng, Weihua 4 2020 An efficient formulation of Chebyshev tau method for constant coefficients systems of multi-order FDEs. Zbl 1429.65146Faghih, A.; Mokhtary, P. 3 2020 A new hybrid staggered discontinuous Galerkin method on general meshes. Zbl 1448.65252Zhao, Lina; Park, Eun-Jae 3 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 1448.76130Don, Wai Sun; Li, Dong-Mei; Gao, Zhen; Wang, Bao-Shan 3 2020 A parallel Newton multigrid framework for monolithic fluid-structure interactions. Zbl 07161485Failer, L.; Richter, T. 3 2020 Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse. Zbl 1440.65100Sarumi, Ibrahim O.; Furati, Khaled M.; Khaliq, Abdul Q. M. 3 2020 Kernel based high order “Explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations. Zbl 07174106Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 3 2020 A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry. Zbl 1435.65211Wang, Fei; Wu, Shuonan; Xu, Jinchao 3 2020 A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties. Zbl 1440.65247Gervasio, Paola; Dedè, Luca; Chanon, Ondine; Quarteroni, Alfio 3 2020 Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data. Zbl 1447.65032Wang, Yanyong; Yan, Yuyuan; Yan, Yubin; Pani, Amiya K. 3 2020 Adaptive inexact semismooth Newton methods for the contact problem between two membranes. Zbl 07229481Dabaghi, Jad; Martin, Vincent; Vohralík, Martin 3 2020 Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations. Zbl 1456.65116Li, Binjie; Wang, Tao; Xie, Xiaoping 3 2020 Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 3 2020 Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equations with nonsmooth data. Zbl 1435.65229Li, Binjie; Wang, Tao; Xie, Xiaoping 2 2020 On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation. Zbl 1434.65247Cui, Ming; Zhang, Shangyou 2 2020 Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension. Zbl 1440.65131Chen, Anqi; Cheng, Yingda; Liu, Yong; Zhang, Mengping 2 2020 Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential. Zbl 1434.65143Wang, Xiuhua; Kou, Jisheng; Cai, Jianchao 2 2020 Online mixed multiscale finite element method with oversampling and its applications. Zbl 1448.76106Yang, Yanfang; Fu, Shubin; Chung, Eric T. 2 2020 Adaptive radial basis function methods for initial value problems. Zbl 07174101Gu, Jiaxi; Jung, Jae-Hun 2 2020 An adaptive homotopy method for computing bifurcations of nonlinear parametric systems. Zbl 1437.37111Hao, Wenrui; Zheng, Chunyue 2 2020 A monolithic arbitrary Lagrangian-Eulerian finite element analysis for a Stokes/parabolic moving interface problem. Zbl 1434.65264Lan, Rihui; Sun, Pengtao 2 2020 Numerical analysis of a BDF2 modular grad-div stabilization method for the Navier-Stokes equations. Zbl 1436.76046Rong, Y.; Fiordilino, J. A. 2 2020 A globally convergent algorithm for a constrained non-Lipschitz image restoration model. Zbl 1455.94037Wang, Weina; Wu, Chunlin; Tai, Xue-Cheng 2 2020 Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation. Zbl 1436.65143Li, Xiaole; Xing, Yulong; Chou, Ching-Shan 2 2020 Accurate eigenvalues of some generalized sign regular matrices via relatively robust representations. Zbl 1439.65047Huang, Rong 2 2020 Robust equilibrated error estimator for diffusion problems: mixed finite elements in two dimensions. Zbl 1437.65177Cai, Difeng; Cai, Zhiqiang; Zhang, Shun 2 2020 Structure-preserving numerical approximations to a non-isothermal hydrodynamic model of binary fluid flows. Zbl 1440.35278Sun, Shouwen; Li, Jun; Zhao, Jia; Wang, Qi 2 2020 Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations. Zbl 1442.65220Li, Dongfang; Sun, Weiwei 2 2020 Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems with jump conditions. Zbl 1447.65090Rupp, Andreas; Lee, Sanghyun 2 2020 A stable radial basis function partition of unity method with \(d\)-rectangular patches for modelling water flow in porous media. Zbl 1444.35059Ben-Ahmed, El Hassan; Sadik, Mohamed; Wakrim, Mohamed 2 2020 Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations. Zbl 1445.76055Wen, Xiao; Don, Wai Sun; Gao, Zhen; Xing, Yulong 2 2020 Adaptive flux-only least-squares finite element methods for linear transport equations. Zbl 1448.76103Liu, Qinjie; Zhang, Shun 2 2020 Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media. Zbl 1452.65220Adjerid, Slimane; Lin, Tao; Zhuang, Qiao 2 2020 Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes. Zbl 1451.65208Zhang, Jin; Liu, Xiaowei 2 2020 An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation. Zbl 1450.65092Zhang, Haixiang; Yang, Xuehua; Xu, Da 2 2020 A quasi-conservative discontinuous Galerkin method for solving five equation model of compressible two-medium flows. Zbl 1460.76638Cheng, Jian; Zhang, Fan; Liu, Tiegang 2 2020 Correction of high-order BDF convolution quadrature for fractional Feynman-Kac equation with Lévy flight. Zbl 07271241Shi, Jiankang; Chen, Minghua 2 2020 Variable smoothing for convex optimization problems using stochastic gradients. Zbl 1453.90118Boţ, Radu Ioan; Böhm, Axel 2 2020 Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation. Zbl 1458.65127Li, Changpin; Li, Zhiqiang; Wang, Zhen 2 2020 Time-fractional Allen-Cahn equations: analysis and numerical methods. Zbl 1456.65062Du, Qiang; Yang, Jiang; Zhou, Zhi 2 2020 Strongly regular general linear methods. Zbl 1431.65099Olatunji, P. O.; Ikhile, M. N. O. 1 2020 Robust Schatten-\(p\) norm based approach for tensor completion. Zbl 1436.90103Gao, Shangqi; Fan, Qibin 1 2020 A partial differential equation obstacle problem for the level set approach to visibility. Zbl 1439.35159Oberman, Adam; Salvador, Tiago 1 2020 Positivity-preserving finite difference WENO scheme for ten-moment equations with source term. Zbl 1440.65095Meena, Asha Kumari; Kumar, Rakesh; Chandrashekar, Praveen 1 2020 Stable and accurate filtering procedures. Zbl 1434.65126Lundquist, Tomas; Nordström, Jan 1 2020 A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. Zbl 07161476Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin 1 2020 Local and parallel multigrid method for nonlinear eigenvalue problems. Zbl 1439.35155Xu, Fei; Huang, Qiumei 1 2020 a posteriori error analysis for implicit-explicit hp-discontinuous Galerkin timestepping methods for semilinear parabolic problems. Zbl 07161483Cangiani, Andrea; Georgoulis, Emmanuil H.; Sabawi, Mohammad 1 2020 Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator. Zbl 07161486Kang, Hongchao; Wang, Hong 1 2020 Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations. Zbl 1434.65268Li, Hao; Zhang, Xiangxiong 1 2020 Nonoverlapping localized exponential time differencing methods for diffusion problems. Zbl 1431.65063Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu 1 2020 Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media. Zbl 1434.65301Nicholls, David P.; Pérez-Arancibia, Carlos; Turc, Catalin 1 2020 Discrete prolate spheroidal wave functions: further spectral analysis and some related applications. Zbl 1437.42004Boulsane, Mourad; Bourguiba, Nourelhouda; Karoui, Abderrazek 1 2020 Treatment of complex interfaces for Maxwell’s equations with continuous coefficients using the correction function method. Zbl 1434.78027Law, Yann-Meing; Marques, Alexandre Noll; Nave, Jean-Christophe 1 2020 An efficient trivariate algorithm for tetrahedral Shepard interpolation. Zbl 07174111Cavoretto, R.; De Rossi, A.; Dell’Accio, F.; Di Tommaso, F. 1 2020 Arnoldi method for large quaternion right eigenvalue problem. Zbl 1432.65047Wang, Qing-Wen; Wang, Xiang-Xiang 1 2020 Construction of an improved third-order WENO scheme with a new smoothness indicator. Zbl 1434.65116Ha, Youngsoo; Kim, Chang Ho; Yang, Hyoseon; Yoon, Jungho 1 2020 The Puiseux expansion and numerical integration to nonlinear weakly singular Volterra integral equations of the second kind. Zbl 1437.65248Wang, Tongke; Qin, Meng; Zhang, Zhiyue 1 2020 Legendre-Galerkin methods for third kind VIEs and CVIEs. Zbl 1434.65317Cai, Haotao 1 2020 On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates. Zbl 1435.65188Dolejší, Vít; Tichý, Petr 1 2020 Hybrid high-order methods for the elliptic obstacle problem. Zbl 1436.65176Cicuttin, Matteo; Ern, Alexandre; Gudi, Thirupathi 1 2020 Optimal error estimates of the discontinuous Galerkin method with upwind-biased fluxes for 2D linear variable coefficients hyperbolic equations. Zbl 1435.65162Liu, Minghui; Wu, Boying; Meng, Xiong 1 2020 Cauchy noise removal by weighted nuclear norm minimization. Zbl 1455.94025Kim, Geonwoo; Cho, Junghee; Kang, Myungjoo 1 2020 A linearized finite difference scheme for the Richards equation under variable-flux boundary conditions. Zbl 1433.76113Fengnan, Liu; Fukumoto, Yasuhide; Zhao, Xiaopeng 1 2020 A Riemannian optimization approach for solving the generalized eigenvalue problem for nonsquare matrix pencils. Zbl 1439.65048Li, Jiao-Fen; Li, Wen; Vong, Seak-Weng; Luo, Qi-Lun; Xiao, Mingqing 1 2020 Numerical solution of Monge-Kantorovich equations via a dynamic formulation. Zbl 1437.65135Facca, Enrico; Daneri, Sara; Cardin, Franco; Putti, Mario 1 2020 ...and 1302 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 15,569 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 Huang, Ting-Zhu 39 Wang, Hong 38 Gassner, Gregor J. 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 Wang, Zhongqing 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 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 24 Zhao, Xile 23 Fu, Hongfei 23 Gatica, Gabriel N. ...and 15,469 more Authors all top 5 Cited in 534 Journals 2,102 Journal of Computational Physics 1,616 Journal of Scientific Computing 634 Journal of Computational and Applied Mathematics 626 Computers & Mathematics with Applications 620 Applied Numerical Mathematics 584 Computer Methods in Applied Mechanics and Engineering 569 Computers and Fluids 476 SIAM Journal on Scientific Computing 448 Applied Mathematics and Computation 275 SIAM Journal on Numerical Analysis 250 Mathematics of Computation 222 Numerical Algorithms 176 Journal of Fluid Mechanics 173 Numerische Mathematik 170 Advances in Computational Mathematics 149 Numerical Methods for Partial Differential Equations 132 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 SIAM Journal on Matrix Analysis and Applications 32 Journal of Numerical Mathematics 31 SIAM/ASA Journal on Uncertainty Quantification 30 European Journal of Mechanics. B. Fluids 29 Journal of Differential Equations 28 Physics of Fluids, A 28 Linear Algebra and its Applications 28 International Journal of Computational Fluid Dynamics 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 23 ETNA. Electronic Transactions on Numerical Analysis 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 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 434 more Journals all top 5 Cited in 59 Fields 10,599 Numerical analysis (65-XX) 5,185 Partial differential equations (35-XX) 5,067 Fluid mechanics (76-XX) 897 Mechanics of deformable solids (74-XX) 759 Calculus of variations and optimal control; optimization (49-XX) 632 Operations research, mathematical programming (90-XX) 484 Biology and other natural sciences (92-XX) 470 Information and communication theory, circuits (94-XX) 446 Computer science (68-XX) 445 Optics, electromagnetic theory (78-XX) 433 Ordinary differential equations (34-XX) 428 Statistical mechanics, structure of matter (82-XX) 322 Probability theory and stochastic processes (60-XX) 320 Geophysics (86-XX) 304 Approximations and expansions (41-XX) 285 Integral equations (45-XX) 277 Classical thermodynamics, heat transfer (80-XX) 256 Real functions (26-XX) 227 Linear and multilinear algebra; matrix theory (15-XX) 197 Statistics (62-XX) 190 Dynamical systems and ergodic theory (37-XX) 171 Systems theory; control (93-XX) 160 Harmonic analysis on Euclidean spaces (42-XX) 154 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 132 Operator theory (47-XX) 110 Quantum theory (81-XX) 96 Special functions (33-XX) 88 Global analysis, analysis on manifolds (58-XX) 52 Functional analysis (46-XX) 51 Potential theory (31-XX) 51 Differential geometry (53-XX) 49 Mechanics of particles and systems (70-XX) 38 Astronomy and astrophysics (85-XX) 36 Functions of a complex variable (30-XX) 32 Integral transforms, operational calculus (44-XX) 29 Combinatorics (05-XX) 29 Relativity and gravitational theory (83-XX) 27 Difference and functional equations (39-XX) 18 Convex and discrete geometry (52-XX) 14 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 10 Measure and integration (28-XX) 9 Sequences, series, summability (40-XX) 8 Algebraic geometry (14-XX) 7 Number theory (11-XX) 7 Mathematics education (97-XX) 5 Geometry (51-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Manifolds and cell complexes (57-XX) 2 Topological groups, Lie groups (22-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 (73-XX) Citations by Year