Edit Profile (opens in new tab) Walkington, Noel J. Co-Author Distance Author ID: walkington.noel-j Published as: Walkington, Noel J.; Walkington, Noel; Walkington, N. J.; Walkington, Noël J.; Walkington, Nöel more...less External Links: ORCID Documents Indexed: 72 Publications since 1982, including 1 Book and 5 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 71 Co-Authors with 63 Joint Publications 2,134 Co-Co-Authors all top 5 Co-Authors 11 single-authored 10 Miller, Gary Lee 8 Showalter, Ralph E. 4 Chrysafinos, Konstantinos 4 Liu, Chun 3 Dayal, Kaushik 3 Eversman, Walter 3 Howell, Jason S. 3 Nicolaides, Roy A. 3 Talmor, Dafna 3 Teng, Shang-Hua 2 Acharya, Amit 2 Chiu, Chichia 2 Dolzmann, Georg 2 Golovaty, Dmitry 2 Kinderlehrer, David 2 Rivière, Beatrice M. 2 Seguin, Brian 2 Zhang, Xiaohan 1 Astley, R. Jeremy 1 Bänsch, Eberhard 1 Baughman, Lisa A. 1 Bielak, Jacobo 1 Blelloch, Guy E. 1 Burch, Hal 1 Calderer, Maria-Carme T. 1 Cardoze, David E. 1 Chu, Timothy 1 Cohen, Michael B. 1 Crary, Karl 1 Cunha, Alexandre B. 1 Duan, Mochong 1 Edelsbrunner, Herbert 1 Fasy, Brittany Terese 1 Guattery, Stephen 1 Harper, Robert 1 Jiang, Jiannan 1 Karimi, Mina 1 Lavrentovich, Oleg D. 1 Li, Jizhou 1 Li, Xiangyang 1 Liu, Jing 1 Lu, Xinyang 1 Ma, Ling 1 Massoudi, Mehrdad 1 Murphy, Thomas J. 1 Naghibzadeh, Kiana 1 Naghibzadeh, S. Kiana 1 Nayyeri, Amir 1 Neilan, Michael 1 Ondreját, Martin 1 Ou, Biao 1 Pav, Steven E. 1 Peng, Richard 1 Perrotti, Louis 1 Peszyńska, Małgorzata 1 Phillips, Todd 1 Pozzi, Matteo 1 Prohl, Andreas 1 Rand, Alexander 1 Rulla, Jim 1 Spagnuolo, Anna Maria 1 Stathopoulos, Andreas 1 Tobiska, Lutz 1 Üngör, Alper 1 Wang, Alex L. 1 Wang, Daren 1 Wang, Han 1 Weber, Franziska 1 Yue, Yukun 1 Zhang, Chiqun 1 Zhang, Yangwen all top 5 Serials 16 SIAM Journal on Numerical Analysis 5 Quarterly of Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Mathematics of Computation 3 Numerische Mathematik 2 Archive for Rational Mechanics and Analysis 2 Journal of Sound and Vibration 2 Rocky Mountain Journal of Mathematics 2 International Journal of Computational Geometry & Applications 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 AIAA Journal 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 SIAM Journal on Scientific and Statistical Computing 1 Differential and Integral Equations 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Scientific Computing 1 Journal of Functional Programming 1 Mathematics and Mechanics of Solids 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 SMAI Journal of Computational Mathematics all top 5 Fields 44 Numerical analysis (65-XX) 30 Fluid mechanics (76-XX) 26 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Computer science (68-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 2 Operations research, mathematical programming (90-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 56 Publications have been cited 790 times in 667 Documents Cited by ▼ Year ▼ An Eulerian description of fluids containing viscoelastic particles. Zbl 1009.76093 Liu, Chun; Walkington, Noel J. 106 2001 Approximation of liquid crystal flows. Zbl 1040.76036 Liu, Chun; Walkington, Noel J. 71 2000 Inf-sup conditions for twofold saddle point problems. Zbl 1230.65128 Howell, Jason S.; Walkington, Noel J. 46 2011 Diffusion of fluid in a fissured medium with microstructure. Zbl 0764.35053 Showalter, R. E.; Walkington, N. J. 46 1991 Mixed methods for the approximation of liquid crystal flows. Zbl 1032.76035 Liu, Chun; Walkington, Noel J. 33 2002 Dual-mixed finite element methods for the Navier-Stokes equations. Zbl 1266.76029 Howell, Jason S.; Walkington, Noel J. 29 2013 Error estimates for the discontinuous Galerkin methods for parabolic equations. Zbl 1112.65086 Chrysafinos, K.; Walkington, Noel J. 28 2006 Convergence of numerical approximations of the incompressible Navier-Stokes equations with variable density and viscosity. Zbl 1138.76048 Liu, Chun; Walkington, Noel J. 28 2007 Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121 Kinderlehrer, David; Walkington, Noel J. 24 1999 Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations. Zbl 1273.76077 Chrysafinos, Konstantinos; Walkington, Noel J. 24 2010 Optimal rates of convergence for degenerate parabolic problems in two dimensions. Zbl 0856.65102 Rulla, Jim; Walkington, Noel J. 23 1996 Algorithms for computing motion by mean curvature. Zbl 0863.65061 Walkington, Noel J. 21 1996 Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations. Zbl 1267.76008 Walkington, Noel J. 20 2011 Micro-structure models of diffusion in fissured media. Zbl 0711.60078 Showalter, R. E.; Walkington, N. J. 20 1991 A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations. Zbl 1481.74097 Zhang, Xiaohan; Acharya, Amit; Walkington, Noel J.; Bielak, Jacobo 20 2015 A Delaunay based numerical method for three dimensions: Generation, formulation, and partition. Zbl 0978.68575 Miller, Gary L.; Talmor, Dafna; Teng, Shang-Hua; Walkington, Noel 19 1995 Convergence of a discontinuous Galerkin method for the miscible displacement equation under low regularity. Zbl 1414.76036 Rivière, Beatrice M.; Walkington, Noel J. 18 2011 Convergence of the discontinuous Galerkin method for discontinuous solutions. Zbl 1082.65088 Walkington, Noel J. 18 2005 Strong convergence of numerical solutions to degenerate variational problems. Zbl 0821.65040 Nicolaides, R. A.; Walkington, Noel J. 15 1995 A hyperbolic Stefan problem. Zbl 0649.35086 Showalter, R. E.; Walkington, N. J. 15 1987 Compactness properties of the DG and CG time stepping schemes for parabolic equations. Zbl 1252.65169 Walkington, Noel J. 12 2010 Estimates for numerical approximations of rank one convex envelopes. Zbl 0961.65063 Dolzmann, G.; Walkington, N. J. 11 2000 Lagrangian and moving mesh methods for the convection diffusion equation. Zbl 1136.65089 Chrysafinos, Konstantinos; Walkington, Noel J. 11 2008 Smoothing and cleaning up slivers. Zbl 1296.68175 Edelsbrunner, Herbert; Li, Xiang-Yang; Miller, Gary; Stathopoulos, Andreas; Talmor, Dafna; Teng, Shang-Hua; Üngör, Alper; Walkington, Noel 10 2000 Co-volume methods for degenerate parabolic problems. Zbl 0797.65075 Baughman, Lisa A.; Walkington, Noel J. 10 1993 Numerical methods for a nonconvex optimization problem modeling martensitic microstructure. Zbl 0898.65035 Nicolaides, Roy A.; Walkington, Noel; Wang, Han 8 1997 Combined DG-CG time stepping for wave equations. Zbl 1328.65212 Walkington, Noel J. 8 2014 Convergence of a high order method in time and space for the miscible displacement equations. Zbl 1327.65176 Li, Jizhou; Riviere, Beatrice; Walkington, Noel 8 2015 An ADI method for hysteretic reaction-diffusion systems. Zbl 0873.65086 Chiu, Chichia; Walkington, Noel 8 1997 The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085 Kinderlehrer, David; Ou, Biao; Walkington, Nöel 7 1993 Error estimates for discontinuous Galerkin approximations of implicit parabolic equations. Zbl 1110.65088 Chrysafinos, K.; Walkington, Noel J. 6 2006 A non-traditional view on the modeling of nematic disclination dynamics. Zbl 1356.76037 Zhang, Chiqun; Zhang, Xiaohan; Acharya, Amit; Golovaty, Dmitry; Walkington, Noel 6 2017 Solving 1-Laplacians in nearly linear time: collapsing and expanding a topological ball. Zbl 1428.65070 Cohen, Michael B.; Fasy, Brittany Terese; Miller, Gary L.; Nayyeri, Amir; Peng, Richard; Walkington, Noel 6 2014 A dual – mixed finite element method for the Brinkman problem. Zbl 1416.76112 Howell, Jason S.; Neilan, Michael; Walkington, Noel J. 6 2016 Multi-component multiphase flow through a poroelastic medium. Zbl 1415.76615 Seguin, Brian; Walkington, Noel J. 5 2019 On the radius-edge condition in the control volume method. Zbl 0937.65118 Miller, Gary L.; Talmor, Dafna; Teng, Shang-Hua; Walkington, Noel 4 1999 On algorithms for nonconvex optimization in the calculus of variations. Zbl 0828.65072 Ma, Ling; Walkington, Noel J. 4 1995 A diffusion system for fluid in fractured media. Zbl 0753.35045 Showalter, Ralph E.; Walkington, Noel J. 4 1990 MAPLE: A comprehensive introduction. Zbl 0905.68083 Nicolaides, Roy A.; Walkington, Noel J. 4 1996 Control volume approximation of degenerate two-phase porous flows. Zbl 1412.65190 Murphy, Thomas J.; Walkington, Noel J. 3 2019 Elliptic systems for a medium with microstructure. Zbl 0823.35063 Showalter, R. E.; Walkington, N. J. 3 1993 A Bézier-based approach to unstructured moving meshes. Zbl 1422.65050 Cardoze, David; Cunha, Alexandre; Miller, Gary L.; Phillips, Todd; Walkington, Noel 3 2004 When and why Delaunay refinement algorithms work. Zbl 1070.65015 Miller, Gary L.; Pav, Steven E.; Walkington, Noel J. 2 2005 Estimating interpolation error: A combinatorial approach. Zbl 0930.65119 Guattery, Stephen; Miller, Gary L.; Walkington, Noel 2 1999 A \(C^1\) tetrahedral finite element without edge degrees of freedom. Zbl 1290.65118 Walkington, Noel J. 2 2014 Modeling of nematic electrolytes and nonlinear electroosmosis. Zbl 1358.35109 Calderer, M. Carme; Golovaty, Dmitry; Lavrentovich, Oleg; Walkington, Noel J. 2 2016 A hyperbolic Stefan problem. Zbl 0732.35112 Showalter, R. E.; Walkington, N. J. 2 1991 Bounds on the effective energy by rank-one convexification. Zbl 0968.65036 Dolzmann, G.; Walkington, N. J. 1 1998 Analysis of hysteretic reaction-diffusion systems. Zbl 0947.92003 Chiu, Chichia; Walkington, Noel 1 1998 Convergence of nonconforming finite element approximations to first-order linear hyperbolic equations. Zbl 0761.76038 Walkington, Noel J. 1 1992 Numerical approximation of viscoelastic fluids. Zbl 1398.76122 Perrotti, Louis; Walkington, Noel J.; Wang, Daren 1 2017 Acoustic wave propagation through flows with vorticity. Zbl 0655.76061 Walkington, Noël J. 1 1988 A numerical model of acoustic choking. II. Shocked solutions. Zbl 0592.76115 Walkington, N. J.; Eversman, W. 1 1986 Multi-component multiphase porous flow. Zbl 1434.35119 Seguin, Brian; Walkington, Noel J. 1 2020 Persistent triangulations. Zbl 0995.68145 Blelloch, Guy; Burch, Hal; Crary, Karl; Harper, Robert; Miller, Gary; Walkington, Noel 1 2001 Hardy-Muckenhoupt bounds for Laplacian eigenvalues. Zbl 07650075 Miller, Gary L.; Walkington, Noel J.; Wang, Alex L. 1 2019 Multi-component multiphase porous flow. Zbl 1434.35119 Seguin, Brian; Walkington, Noel J. 1 2020 Multi-component multiphase flow through a poroelastic medium. Zbl 1415.76615 Seguin, Brian; Walkington, Noel J. 5 2019 Control volume approximation of degenerate two-phase porous flows. Zbl 1412.65190 Murphy, Thomas J.; Walkington, Noel J. 3 2019 Hardy-Muckenhoupt bounds for Laplacian eigenvalues. Zbl 07650075 Miller, Gary L.; Walkington, Noel J.; Wang, Alex L. 1 2019 A non-traditional view on the modeling of nematic disclination dynamics. Zbl 1356.76037 Zhang, Chiqun; Zhang, Xiaohan; Acharya, Amit; Golovaty, Dmitry; Walkington, Noel 6 2017 Numerical approximation of viscoelastic fluids. Zbl 1398.76122 Perrotti, Louis; Walkington, Noel J.; Wang, Daren 1 2017 A dual – mixed finite element method for the Brinkman problem. Zbl 1416.76112 Howell, Jason S.; Neilan, Michael; Walkington, Noel J. 6 2016 Modeling of nematic electrolytes and nonlinear electroosmosis. Zbl 1358.35109 Calderer, M. Carme; Golovaty, Dmitry; Lavrentovich, Oleg; Walkington, Noel J. 2 2016 A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations. Zbl 1481.74097 Zhang, Xiaohan; Acharya, Amit; Walkington, Noel J.; Bielak, Jacobo 20 2015 Convergence of a high order method in time and space for the miscible displacement equations. Zbl 1327.65176 Li, Jizhou; Riviere, Beatrice; Walkington, Noel 8 2015 Combined DG-CG time stepping for wave equations. Zbl 1328.65212 Walkington, Noel J. 8 2014 Solving 1-Laplacians in nearly linear time: collapsing and expanding a topological ball. Zbl 1428.65070 Cohen, Michael B.; Fasy, Brittany Terese; Miller, Gary L.; Nayyeri, Amir; Peng, Richard; Walkington, Noel 6 2014 A \(C^1\) tetrahedral finite element without edge degrees of freedom. Zbl 1290.65118 Walkington, Noel J. 2 2014 Dual-mixed finite element methods for the Navier-Stokes equations. Zbl 1266.76029 Howell, Jason S.; Walkington, Noel J. 29 2013 Inf-sup conditions for twofold saddle point problems. Zbl 1230.65128 Howell, Jason S.; Walkington, Noel J. 46 2011 Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations. Zbl 1267.76008 Walkington, Noel J. 20 2011 Convergence of a discontinuous Galerkin method for the miscible displacement equation under low regularity. Zbl 1414.76036 Rivière, Beatrice M.; Walkington, Noel J. 18 2011 Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations. Zbl 1273.76077 Chrysafinos, Konstantinos; Walkington, Noel J. 24 2010 Compactness properties of the DG and CG time stepping schemes for parabolic equations. Zbl 1252.65169 Walkington, Noel J. 12 2010 Lagrangian and moving mesh methods for the convection diffusion equation. Zbl 1136.65089 Chrysafinos, Konstantinos; Walkington, Noel J. 11 2008 Convergence of numerical approximations of the incompressible Navier-Stokes equations with variable density and viscosity. Zbl 1138.76048 Liu, Chun; Walkington, Noel J. 28 2007 Error estimates for the discontinuous Galerkin methods for parabolic equations. Zbl 1112.65086 Chrysafinos, K.; Walkington, Noel J. 28 2006 Error estimates for discontinuous Galerkin approximations of implicit parabolic equations. Zbl 1110.65088 Chrysafinos, K.; Walkington, Noel J. 6 2006 Convergence of the discontinuous Galerkin method for discontinuous solutions. Zbl 1082.65088 Walkington, Noel J. 18 2005 When and why Delaunay refinement algorithms work. Zbl 1070.65015 Miller, Gary L.; Pav, Steven E.; Walkington, Noel J. 2 2005 A Bézier-based approach to unstructured moving meshes. Zbl 1422.65050 Cardoze, David; Cunha, Alexandre; Miller, Gary L.; Phillips, Todd; Walkington, Noel 3 2004 Mixed methods for the approximation of liquid crystal flows. Zbl 1032.76035 Liu, Chun; Walkington, Noel J. 33 2002 An Eulerian description of fluids containing viscoelastic particles. Zbl 1009.76093 Liu, Chun; Walkington, Noel J. 106 2001 Persistent triangulations. Zbl 0995.68145 Blelloch, Guy; Burch, Hal; Crary, Karl; Harper, Robert; Miller, Gary; Walkington, Noel 1 2001 Approximation of liquid crystal flows. Zbl 1040.76036 Liu, Chun; Walkington, Noel J. 71 2000 Estimates for numerical approximations of rank one convex envelopes. Zbl 0961.65063 Dolzmann, G.; Walkington, N. J. 11 2000 Smoothing and cleaning up slivers. Zbl 1296.68175 Edelsbrunner, Herbert; Li, Xiang-Yang; Miller, Gary; Stathopoulos, Andreas; Talmor, Dafna; Teng, Shang-Hua; Üngör, Alper; Walkington, Noel 10 2000 Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121 Kinderlehrer, David; Walkington, Noel J. 24 1999 On the radius-edge condition in the control volume method. Zbl 0937.65118 Miller, Gary L.; Talmor, Dafna; Teng, Shang-Hua; Walkington, Noel 4 1999 Estimating interpolation error: A combinatorial approach. Zbl 0930.65119 Guattery, Stephen; Miller, Gary L.; Walkington, Noel 2 1999 Bounds on the effective energy by rank-one convexification. Zbl 0968.65036 Dolzmann, G.; Walkington, N. J. 1 1998 Analysis of hysteretic reaction-diffusion systems. Zbl 0947.92003 Chiu, Chichia; Walkington, Noel 1 1998 Numerical methods for a nonconvex optimization problem modeling martensitic microstructure. Zbl 0898.65035 Nicolaides, Roy A.; Walkington, Noel; Wang, Han 8 1997 An ADI method for hysteretic reaction-diffusion systems. Zbl 0873.65086 Chiu, Chichia; Walkington, Noel 8 1997 Optimal rates of convergence for degenerate parabolic problems in two dimensions. Zbl 0856.65102 Rulla, Jim; Walkington, Noel J. 23 1996 Algorithms for computing motion by mean curvature. Zbl 0863.65061 Walkington, Noel J. 21 1996 MAPLE: A comprehensive introduction. Zbl 0905.68083 Nicolaides, Roy A.; Walkington, Noel J. 4 1996 A Delaunay based numerical method for three dimensions: Generation, formulation, and partition. Zbl 0978.68575 Miller, Gary L.; Talmor, Dafna; Teng, Shang-Hua; Walkington, Noel 19 1995 Strong convergence of numerical solutions to degenerate variational problems. Zbl 0821.65040 Nicolaides, R. A.; Walkington, Noel J. 15 1995 On algorithms for nonconvex optimization in the calculus of variations. Zbl 0828.65072 Ma, Ling; Walkington, Noel J. 4 1995 Co-volume methods for degenerate parabolic problems. Zbl 0797.65075 Baughman, Lisa A.; Walkington, Noel J. 10 1993 The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085 Kinderlehrer, David; Ou, Biao; Walkington, Nöel 7 1993 Elliptic systems for a medium with microstructure. Zbl 0823.35063 Showalter, R. E.; Walkington, N. J. 3 1993 Convergence of nonconforming finite element approximations to first-order linear hyperbolic equations. Zbl 0761.76038 Walkington, Noel J. 1 1992 Diffusion of fluid in a fissured medium with microstructure. Zbl 0764.35053 Showalter, R. E.; Walkington, N. J. 46 1991 Micro-structure models of diffusion in fissured media. Zbl 0711.60078 Showalter, R. E.; Walkington, N. J. 20 1991 A hyperbolic Stefan problem. Zbl 0732.35112 Showalter, R. E.; Walkington, N. J. 2 1991 A diffusion system for fluid in fractured media. Zbl 0753.35045 Showalter, Ralph E.; Walkington, Noel J. 4 1990 Acoustic wave propagation through flows with vorticity. Zbl 0655.76061 Walkington, Noël J. 1 1988 A hyperbolic Stefan problem. Zbl 0649.35086 Showalter, R. E.; Walkington, N. J. 15 1987 A numerical model of acoustic choking. II. Shocked solutions. Zbl 0592.76115 Walkington, N. J.; Eversman, W. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 1,012 Authors 18 Gatica, Gabriel N. 17 Walkington, Noel J. 16 Liu, Chun 15 Chrysafinos, Konstantinos 14 Acharya, Amit 13 Rhebergen, Sander 12 Ruiz-Baier, Ricardo 11 Wang, Dehua 10 Yang, Xiaofeng 9 Oyarzúa, Ricardo 9 Shen, Jie 8 Liu, Qiao 8 Nochetto, Ricardo Horacio 7 Carstensen, Carsten 7 Çeşmelioğlu, Ayçıl 7 Colmenares, Eligio 7 Eymard, Robert 7 Wang, Qi 6 An, Rong 6 Guillén González, Francisco M. 6 Hu, Xianpeng 6 Mikula, Karol 6 Qiu, Hua 6 Walker, Shawn W. 5 Bartels, Sören 5 Cancès, Clément 5 Casas, Eduardo 5 Droniou, Jérôme 5 Gutiérrez-Santacreu, Juan Vicente 5 Hilhorst, Danielle 5 Lee, Jeonghun J. 5 Li, Zhiping 5 Lin, Ping 5 Peszyńska, Małgorzata 5 Prohl, Andreas 5 Rivière, Beatrice M. 5 Roubíček, Tomáš 5 Sun, WaiChing 5 Zhao, Jia 4 Camaño, Jessika 4 Du, Qiang 4 Grasselli, Maurizio 4 Herbin, Raphaèle 4 Lei, Zhen 4 Li, Buyang 4 Li, Jizhou 4 Salgado, Abner J. 4 Schlömerkemper, Anja 4 Showalter, Ralph E. 4 Teng, Shang-Hua 4 Venkataramani, Shankar C. 4 Vexler, Boris 4 Vohralík, Martin 4 Wells, Garth N. 4 Zhao, Jihong 4 Zou, Guang’an 3 Badia, Santiago 3 Benamou, Jean-David 3 Carlier, Guillaume 3 Caucao, Sergio 3 Choo, Jinhyun 3 Correa, Claudio I. 3 Dayal, Kaushik 3 Di Iorio, Elena 3 Dolejší, Vít 3 Feng, James J. 3 Frolkovič, Peter 3 Gallouët, Thierry 3 Gay-Balmaz, François 3 Geers, Marc G. D. 3 Girault, Vivette 3 Hackl, Klaus 3 Han, Bin 3 Handlovičová, Angela 3 Haslinger, Jaroslav 3 Howell, Jason S. 3 Ii, Satoshi 3 Lasarzik, Robert 3 Latché, Jean-Claude 3 Le, Kim-Ngan 3 Leykekhman, Dmitriy 3 Li, Xiangyang 3 Marcati, Pierangelo 3 Miller, Gary Lee 3 Muntean, Adrian 3 Neilan, Michael 3 Oberman, Adam M. 3 Peerlings, Ron H. J. 3 Plecháč, Petr 3 Putkaradze, Vakhtang 3 Qiu, Weifeng 3 Schätzler, Leah 3 Sgallari, Fiorella 3 Spirito, Stefano 3 Sugiyama, Kazuyasu 3 Sun, Weiwei 3 Takagi, Shu 3 Tierra, Giordano 3 Tomas, Ignacio 3 Vohra, Naren ...and 912 more Authors all top 5 Cited in 162 Serials 36 Journal of Computational Physics 28 Computer Methods in Applied Mechanics and Engineering 23 SIAM Journal on Numerical Analysis 23 Journal of Scientific Computing 21 Journal of Mathematical Analysis and Applications 20 Computers & Mathematics with Applications 20 Numerische Mathematik 18 Mathematics of Computation 14 Journal of Computational and Applied Mathematics 14 Numerical Methods for Partial Differential Equations 14 SIAM Journal on Scientific Computing 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Archive for Rational Mechanics and Analysis 13 International Journal for Numerical Methods in Engineering 13 Applied Numerical Mathematics 12 Journal of Differential Equations 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Mathematical Methods in the Applied Sciences 8 Applied Mathematics and Computation 7 Quarterly of Applied Mathematics 7 Computational Geometry 7 SIAM Journal on Mathematical Analysis 7 Discrete and Continuous Dynamical Systems 7 Journal of Numerical Mathematics 7 Communications on Pure and Applied Analysis 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Calcolo 6 Computational Mechanics 6 Nonlinear Analysis. Real World Applications 6 Communications in Computational Physics 5 Journal of Fluid Mechanics 5 Acta Applicandae Mathematicae 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Calculus of Variations and Partial Differential Equations 5 Advances in Computational Mathematics 5 Journal of Mathematical Fluid Mechanics 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of the Mechanics and Physics of Solids 4 Chinese Annals of Mathematics. Series B 4 Physica D 4 Applied Mathematics Letters 4 Numerical Algorithms 4 Journal of Elasticity 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Applied Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Acta Mechanica 3 Applicable Analysis 3 International Journal for Numerical Methods in Fluids 3 BIT 3 Kybernetika 3 Mathematics and Computers in Simulation 3 Transactions of the American Mathematical Society 3 European Journal of Applied Mathematics 3 Applied Mathematical Modelling 3 Journal of Nonlinear Science 3 Computational and Applied Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Evolution Equations 3 Foundations of Computational Mathematics 3 SMAI Journal of Computational Mathematics 2 Computers and Fluids 2 Nonlinearity 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Computing 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Applications of Mathematics 2 Communications in Partial Differential Equations 2 SIAM Review 2 Journal of Dynamics and Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Computing and Visualization in Science 2 Vietnam Journal of Mathematics 2 Interfaces and Free Boundaries 2 Computational Geosciences 2 Mathematical Modelling and Analysis 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 International Journal of Numerical Analysis and Modeling 2 Boundary Value Problems 2 Science China. Mathematics 2 Advances in Nonlinear Analysis 2 Journal of Elliptic and Parabolic Equations 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 ACM Transactions on Mathematical Software 1 Automatica 1 Indiana University Mathematics Journal ...and 62 more Serials all top 5 Cited in 39 Fields 377 Partial differential equations (35-XX) 360 Numerical analysis (65-XX) 342 Fluid mechanics (76-XX) 111 Mechanics of deformable solids (74-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 35 Statistical mechanics, structure of matter (82-XX) 28 Classical thermodynamics, heat transfer (80-XX) 23 Biology and other natural sciences (92-XX) 16 Operator theory (47-XX) 14 Computer science (68-XX) 11 Ordinary differential equations (34-XX) 8 Convex and discrete geometry (52-XX) 8 Differential geometry (53-XX) 7 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 6 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Geophysics (86-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Approximations and expansions (41-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year