Edit Profile (opens in new tab) Holst, Michael J. Compute Distance To: Compute Author ID: holst.michael-j Published as: Holst, Michael; Holst, Michael J.; Holst, M.; Holst, M. J. Documents Indexed: 50 Publications since 1994, including 1 Book 1 Contribution as Editor Co-Authors: 64 Co-Authors with 49 Joint Publications 1,437 Co-Co-Authors all top 5 Co-Authors 1 single-authored 7 McCammon, J. Andrew 5 Tsogtgerel, Gantumur 5 Zhu, Yunrong 4 Aksoylu, Burak 3 Bank, Randolph E. 3 Chen, Long 3 Estep, Donald J. 3 Meier, Caleb 3 Szypowski, Ryan 3 Xu, Jinchao 2 Behzadan, Ali 2 Bond, Stephen D. 2 Larson, Mats G. 2 Lu, Benzhuo 2 Målqvist, Axel 2 Nagy, Gabriel B. 2 Pollock, Sara 2 Rangamani, Padmini 2 Stern, Ari 2 Tiglio, Manuel 2 Yu, Zeyun 1 Amaro, Rommie E. 1 Ashby, Steven F. 1 Ayuso de Dios, Blanca 1 Baker, Nathan A. 1 Cheng, Yuhui 1 Cyr, Eric C. 1 Elcock, Adrian 1 Gao, Zhanheng 1 Gawlik, Evan S. 1 Getz, Michael 1 Gillette, Andrew 1 Henchman, Richard 1 Irle, Albrecht 1 Kekenes-Huskey, Peter M. 1 Korobkin, Oleg 1 Lee, Christopher T. 1 Li, Yuwen 1 Liao, Tao 1 Licht, Martin Werner 1 Llewellyn Smith, Stefan G. 1 Lunasin, Evelyn M. 1 Manteuffel, Thomas A. 1 McCulloch, Andrew D. 1 Michailova, Anushka 1 Mihalik, Adam 1 Mikulencak, Duane R. 1 Moody, John B. 1 Ovall, Jeffrey S. 1 Pazos, Enrique 1 Saied, Faisal 1 Sarbach, Olivier C. A. 1 Saylor, Paul E. 1 Sept, David 1 Söderlund, Robert 1 Stakgold, Ivar 1 Stolerman, Lucas M. 1 Tai, Kaihsu 1 Tiee, Christopher 1 Titi, Edriss Saleh 1 Vallisneri, Michele 1 Vandewalle, Stefan G. 1 Widlund, Olof B. 1 Zhang, Yongjie 1 Zikatanov, Ludmil T. all top 5 Serials 3 Classical and Quantum Gravity 3 SIAM Journal on Numerical Analysis 3 Journal of Computational Mathematics 3 SIAM Journal on Scientific Computing 2 Communications in Mathematical Physics 2 Mathematics of Computation 2 BIT 2 Numerical Methods for Partial Differential Equations 2 Foundations of Computational Mathematics 2 Communications in Computational Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Arkiv för Matematik 1 Bulletin of Mathematical Biology 1 ACM Transactions on Mathematical Software 1 The Annals of Statistics 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Communications in Numerical Methods in Engineering 1 Advances in Computational Mathematics 1 Mathematics and Mechanics of Solids 1 Computing and Visualization in Science 1 Physical Review Letters 1 Journal of Applied Mathematics and Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Computational Science and Engineering 1 Molecular Based Mathematical Biology 1 Pure and Applied Mathematics. A Wiley Series of Texts, Monographs, and Tracts all top 5 Fields 36 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 9 Relativity and gravitational theory (83-XX) 7 Biology and other natural sciences (92-XX) 6 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 632 times in 476 Documents Cited by ▼ Year ▼ Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Zbl 1186.92005Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A. 60 2008 Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions. Zbl 1195.92004Lu, Benzhuo; Holst, Michael J.; McCammon, J. Andrew; Zhou, Y. C. 48 2010 Green’s functions and boundary value problems. 3rd ed. Zbl 1221.35001Stakgold, Ivar; Holst, Michael J. 48 2011 Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211Chen, Long; Holst, Michael; Xu, Jinchao 44 2009 The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478Chen, Long; Holst, Michael J.; Xu, Jinchao 43 2007 Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134Holst, M. 37 2001 Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur 32 2010 Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions. Zbl 1175.83010Holst, Michael; Nagy, Gabriel; Tsogtgerel, Gantumur 29 2009 Generalized Green’s functions and the effective domain of influence. Zbl 1078.65095Estep, Donald; Holst, Michael; Larson, Mats 25 2005 A new paradigm for parallel adaptive meshing algorithms. Zbl 0979.65110Bank, Randolph E.; Holst, Michael 24 2000 Adaptive finite element modeling techniques for the Poisson-Boltzmann equation. Zbl 1373.82077Holst, M.; McCammon, J. A.; Yu, Z.; Zhou, Y. C.; Zhu, Y. 23 2012 A new paradigm for parallel adaptive meshing algorithms. Zbl 1028.65104Bank, Randolph E.; Holst, Michael 19 2003 Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces. Zbl 1263.65114Holst, Michael; Stern, Ari 16 2012 Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. Zbl 1296.65153Ayuso De Dios, Blanca; Holst, Michael; Zhu, Yunrong; Zikatanov, Ludmil 15 2014 Far-from-constant mean curvature solutions of Einstein’s constraint equations with positive Yamabe metrics. Zbl 1228.83015Holst, M.; Nagy, G.; Tsogtgerel, G. 15 2008 The role of the inner product in stopping criteria for conjugate gradient iterations. Zbl 0984.65025Ashby, S. F.; Holst, M. J.; Manteuffel, T. A.; Saylor, P. E. 14 2001 Convergence of goal-oriented adaptive finite element methods for nonsymmetric problems. Zbl 1337.65139Holst, Michael; Pollock, Sara 12 2016 Efficient mesh optimization schemes based on optimal Delaunay triangulations. Zbl 1225.65113Chen, Long; Holst, Michael 11 2011 Accounting for stability: A posteriori error estimates based on residuals and variational analysis. Zbl 0994.65097Estep, Donald; Holst, Michael; Mikulencak, Duane 11 2002 Determining projections and functionals for weak solutions of the Navier-Stokes equations. Zbl 0873.35062Holst, M. J.; Titi, E. S. 10 1997 Convergence of goal-oriented adaptive finite element methods for semilinear problems. Zbl 1388.65149Holst, Michael; Pollock, Sara; Zhu, Yunrong 9 2015 Optimality of multilevel preconditioners for local mesh refinement in three dimensions. Zbl 1153.65093Aksoylu, Burak; Holst, Michael 7 2006 Non-CMC solutions to the Einstein constraint equations on asymptotically Euclidean manifolds with apparent horizon boundaries. Zbl 1307.83002Holst, Michael; Meier, Caleb 7 2015 An efficient, reliable and robust error estimator for elliptic problems in \(\mathbb R^3\). Zbl 1230.65119Holst, Michael; Ovall, Jeffrey S.; Szypowski, Ryan 7 2011 An Odyssey into local refinement and multilevel preconditioning. III: Implementation and numerical experiments. Zbl 1048.65104Aksoylu, Burak; Bond, Stephen; Holst, Michael 7 2003 The Lichnerowicz equation on compact manifolds with boundary. Zbl 1276.83007Holst, Michael; Tsogtgerel, Gantumur 6 2013 Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation. Zbl 1263.78011Aksoylu, Burak; Bond, Stephen D.; Cyr, Eric C.; Holst, Michael 6 2012 Schwarz methods: To symmetrize or not to symmetrize. Zbl 0880.65090Holst, Michael; Vandewalle, Stefan 6 1997 Finite element exterior calculus for evolution problems. Zbl 1399.65252Gillette, Andrew; Holst, Michael; Zhu, Yunrong 6 2017 Two-grid methods for semilinear interface problems. Zbl 1274.65299Holst, Michael; Szypowski, Ryan; Zhu, Yunrong 5 2013 A nonlinear elasticity model of macromolecular conformational change induced by electrostatic forces. Zbl 1128.74013Zhou, Y. C.; Holst, Michael; McCammon, J. Andrew 4 2008 Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions. Zbl 1205.80084Holst, Michael J.; Larson, Mats G.; Målqvist, Axel; Söderlund, Robert 4 2010 Multiplication in Sobolev spaces, revisited. Zbl 07447116Behzadan, A.; Holst, M. 4 2021 Nearest neighbor classification with dependent training sequences. Zbl 1043.62057Holst, M.; Irle, A. 3 2001 Non-CMC solutions of the Einstein constraint equations on compact manifolds with apparent horizon boundaries. Zbl 1390.83020Holst, Michael; Meier, Caleb; Tsogtgerel, G. 3 2018 Multi-core CPU or GPU-accelerated multiscale modeling for biomolecular complexes. Zbl 1276.92030Liao, Tao; Zhang, Yongjie; Kekenes-Huskey, Peter M.; Cheng, Yuhui; Michailova, Anushka; McCulloch, Andrew D.; Holst, Michael; McCammon, J. Andrew 2 2013 Solving the Einstein constraint equations on multi-block triangulations using finite element methods. Zbl 1172.83007Korobkin, Oleg; Aksoylu, Burak; Holst, Michael; Pazos, Enrique; Tiglio, Manuel 2 2009 Convergence and optimality of adaptive mixed methods for Poisson’s equation in the FEEC framework. Zbl 1463.65371Holst, Michael; Li, Yuwen; Mihalik, Adam; Szypowski, Ryan 2 2020 Semilinear mixed problems on Hilbert complexes and their numerical approximation. Zbl 1263.65113Holst, Michael; Stern, Ari 1 2012 Domain decomposition methods in science and engineering XX. Selected papers based on the presentations of the 20th international conference on domain decomposition, San Diego, CA, USA, February 9–13, 2011. Zbl 1416.65007 1 2013 Nonparametric density estimation for randomly perturbed elliptic problems. III: Convergence, computational cost, and generalizations. Zbl 1295.65007Estep, Donald; Holst, Michael J.; Målqvist, Axel 1 2012 Generalized solutions to semilinear elliptic PDE with applications to the Lichnerowicz equation. Zbl 1305.35051Holst, Michael; Meier, Caleb 1 2014 The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools. Zbl 1350.83009Holst, Michael; Sarbach, Olivier; Tiglio, Manuel; Vallisneri, Michele 1 2016 The implementation of the colored abstract simplicial complex and its application to mesh generation. Zbl 07193377Lee, Christopher T.; Moody, John B.; Amaro, Rommie E.; Mccammon, J. Andrew; Holst, Michael J. 1 2019 Multiplication in Sobolev spaces, revisited. Zbl 07447116Behzadan, A.; Holst, M. 4 2021 Convergence and optimality of adaptive mixed methods for Poisson’s equation in the FEEC framework. Zbl 1463.65371Holst, Michael; Li, Yuwen; Mihalik, Adam; Szypowski, Ryan 2 2020 The implementation of the colored abstract simplicial complex and its application to mesh generation. Zbl 07193377Lee, Christopher T.; Moody, John B.; Amaro, Rommie E.; Mccammon, J. Andrew; Holst, Michael J. 1 2019 Non-CMC solutions of the Einstein constraint equations on compact manifolds with apparent horizon boundaries. Zbl 1390.83020Holst, Michael; Meier, Caleb; Tsogtgerel, G. 3 2018 Finite element exterior calculus for evolution problems. Zbl 1399.65252Gillette, Andrew; Holst, Michael; Zhu, Yunrong 6 2017 Convergence of goal-oriented adaptive finite element methods for nonsymmetric problems. Zbl 1337.65139Holst, Michael; Pollock, Sara 12 2016 The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools. Zbl 1350.83009Holst, Michael; Sarbach, Olivier; Tiglio, Manuel; Vallisneri, Michele 1 2016 Convergence of goal-oriented adaptive finite element methods for semilinear problems. Zbl 1388.65149Holst, Michael; Pollock, Sara; Zhu, Yunrong 9 2015 Non-CMC solutions to the Einstein constraint equations on asymptotically Euclidean manifolds with apparent horizon boundaries. Zbl 1307.83002Holst, Michael; Meier, Caleb 7 2015 Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. Zbl 1296.65153Ayuso De Dios, Blanca; Holst, Michael; Zhu, Yunrong; Zikatanov, Ludmil 15 2014 Generalized solutions to semilinear elliptic PDE with applications to the Lichnerowicz equation. Zbl 1305.35051Holst, Michael; Meier, Caleb 1 2014 The Lichnerowicz equation on compact manifolds with boundary. Zbl 1276.83007Holst, Michael; Tsogtgerel, Gantumur 6 2013 Two-grid methods for semilinear interface problems. Zbl 1274.65299Holst, Michael; Szypowski, Ryan; Zhu, Yunrong 5 2013 Multi-core CPU or GPU-accelerated multiscale modeling for biomolecular complexes. Zbl 1276.92030Liao, Tao; Zhang, Yongjie; Kekenes-Huskey, Peter M.; Cheng, Yuhui; Michailova, Anushka; McCulloch, Andrew D.; Holst, Michael; McCammon, J. Andrew 2 2013 Domain decomposition methods in science and engineering XX. Selected papers based on the presentations of the 20th international conference on domain decomposition, San Diego, CA, USA, February 9–13, 2011. Zbl 1416.65007 1 2013 Adaptive finite element modeling techniques for the Poisson-Boltzmann equation. Zbl 1373.82077Holst, M.; McCammon, J. A.; Yu, Z.; Zhou, Y. C.; Zhu, Y. 23 2012 Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces. Zbl 1263.65114Holst, Michael; Stern, Ari 16 2012 Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation. Zbl 1263.78011Aksoylu, Burak; Bond, Stephen D.; Cyr, Eric C.; Holst, Michael 6 2012 Semilinear mixed problems on Hilbert complexes and their numerical approximation. Zbl 1263.65113Holst, Michael; Stern, Ari 1 2012 Nonparametric density estimation for randomly perturbed elliptic problems. III: Convergence, computational cost, and generalizations. Zbl 1295.65007Estep, Donald; Holst, Michael J.; Målqvist, Axel 1 2012 Green’s functions and boundary value problems. 3rd ed. Zbl 1221.35001Stakgold, Ivar; Holst, Michael J. 48 2011 Efficient mesh optimization schemes based on optimal Delaunay triangulations. Zbl 1225.65113Chen, Long; Holst, Michael 11 2011 An efficient, reliable and robust error estimator for elliptic problems in \(\mathbb R^3\). Zbl 1230.65119Holst, Michael; Ovall, Jeffrey S.; Szypowski, Ryan 7 2011 Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions. Zbl 1195.92004Lu, Benzhuo; Holst, Michael J.; McCammon, J. Andrew; Zhou, Y. C. 48 2010 Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur 32 2010 Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions. Zbl 1205.80084Holst, Michael J.; Larson, Mats G.; Målqvist, Axel; Söderlund, Robert 4 2010 Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211Chen, Long; Holst, Michael; Xu, Jinchao 44 2009 Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions. Zbl 1175.83010Holst, Michael; Nagy, Gabriel; Tsogtgerel, Gantumur 29 2009 Solving the Einstein constraint equations on multi-block triangulations using finite element methods. Zbl 1172.83007Korobkin, Oleg; Aksoylu, Burak; Holst, Michael; Pazos, Enrique; Tiglio, Manuel 2 2009 Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Zbl 1186.92005Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A. 60 2008 Far-from-constant mean curvature solutions of Einstein’s constraint equations with positive Yamabe metrics. Zbl 1228.83015Holst, M.; Nagy, G.; Tsogtgerel, G. 15 2008 A nonlinear elasticity model of macromolecular conformational change induced by electrostatic forces. Zbl 1128.74013Zhou, Y. C.; Holst, Michael; McCammon, J. Andrew 4 2008 The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478Chen, Long; Holst, Michael J.; Xu, Jinchao 43 2007 Optimality of multilevel preconditioners for local mesh refinement in three dimensions. Zbl 1153.65093Aksoylu, Burak; Holst, Michael 7 2006 Generalized Green’s functions and the effective domain of influence. Zbl 1078.65095Estep, Donald; Holst, Michael; Larson, Mats 25 2005 A new paradigm for parallel adaptive meshing algorithms. Zbl 1028.65104Bank, Randolph E.; Holst, Michael 19 2003 An Odyssey into local refinement and multilevel preconditioning. III: Implementation and numerical experiments. Zbl 1048.65104Aksoylu, Burak; Bond, Stephen; Holst, Michael 7 2003 Accounting for stability: A posteriori error estimates based on residuals and variational analysis. Zbl 0994.65097Estep, Donald; Holst, Michael; Mikulencak, Duane 11 2002 Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134Holst, M. 37 2001 The role of the inner product in stopping criteria for conjugate gradient iterations. Zbl 0984.65025Ashby, S. F.; Holst, M. J.; Manteuffel, T. A.; Saylor, P. E. 14 2001 Nearest neighbor classification with dependent training sequences. Zbl 1043.62057Holst, M.; Irle, A. 3 2001 A new paradigm for parallel adaptive meshing algorithms. Zbl 0979.65110Bank, Randolph E.; Holst, Michael 24 2000 Determining projections and functionals for weak solutions of the Navier-Stokes equations. Zbl 0873.35062Holst, M. J.; Titi, E. S. 10 1997 Schwarz methods: To symmetrize or not to symmetrize. Zbl 0880.65090Holst, Michael; Vandewalle, Stefan 6 1997 all cited Publications top 5 cited Publications all top 5 Cited by 781 Authors 15 Lu, Benzhuo 14 Holst, Michael J. 12 Xie, Dexuan 12 Xu, Jinchao 10 Estep, Donald J. 9 Cung The Anh 8 Ying, Jinyong 8 Zhao, Shan 8 Zhou, Aihui 7 Chaudhry, Jehanzeb Hameed 7 Chen, Long 7 Chen, Yanping 7 Yang, Ying 6 Carstensen, Carsten 6 Hu, Jun 6 Li, Yuwen 6 Praetorius, Dirk 6 Tavener, Simon J. 5 Gal, Ciprian Gheorghe Sorin 5 Gicquaud, Romain 5 Huang, Yunqing 5 Liu, Chun 5 Liu, Hailiang 5 Målqvist, Axel 5 Ovall, Jeffrey S. 5 Titi, Edriss Saleh 5 Zheng, Haibiao 4 Chen, Minxin 4 Demlow, Alan 4 Feischl, Michael 4 Gao, Huadong 4 Geng, Weihua 4 Gibou, Frédéric 4 Hauke, Guillermo 4 Jiang, Yi 4 Jolly, Michael S. 4 Lunasin, Evelyn M. 4 Nochetto, Ricardo Horacio 4 Pollock, Sara 4 Shu, Shi 4 van der Zee, Kristoffer George 4 Wang, Zhongming 4 Zhong, Liuqiang 4 Zhu, Yunrong 3 Aksoylu, Burak 3 Alexov, Emil 3 Atzberger, Paul J. 3 Bank, Randolph E. 3 Bastian, Peter 3 Bertoluzza, Silvia 3 Bond, Stephen D. 3 Chruściel, Piotr Tadeusz 3 Chung, Tsz Shun Eric 3 Cotter, Colin John 3 Endtmayer, Bernhard 3 Farhat, Aseel 3 Gross, B. J. 3 Hou, Yanren 3 Huang, Qiumei 3 Huneau, Cécile 3 Irisarri, Diego 3 Khoromskiĭ, Boris Nikolaevich 3 Kohr, Mirela 3 Kwak, Do Young 3 Larson, Mats G. 3 Li, Jiao 3 Nakov, Svetoslav 3 Nguyet, Tran Minh 3 Olshanskii, Maxim A. 3 Paukštaitė, Gailė 3 Premoselli, Bruno 3 Rabus, Hella 3 Reusken, Arnold 3 Shang, Yueqiang 3 Shen, Ruigang 3 Štikonas, Artūras 3 Sun, Pengtao 3 Tachim Medjo, Theodore 3 Toi, Vu Manh 3 Tsogtgerel, Gantumur 3 Wathen, Andrew John 3 Wendland, Wolfgang L. 3 Wick, Thomas 3 Xu, Zhenli 3 Zhang, Linbo 3 Zhou, Zhenhua 3 Zhu, Lingxue 2 Ali, Hani 2 Bespalov, Alexei 2 Blatt, Markus 2 Boffi, Daniele 2 Bonito, Andrea 2 Cai, Wei 2 Carey, Graham Francis 2 Chen, Duan 2 Choi, Sungwoo 2 Cockburn, Bernardo 2 Dehghan Takht Fooladi, Mehdi 2 Deng, Weishan 2 Desbrun, Mathieu ...and 681 more Authors all top 5 Cited in 137 Serials 52 Journal of Computational Physics 25 Journal of Scientific Computing 22 Journal of Computational and Applied Mathematics 21 Numerische Mathematik 17 SIAM Journal on Numerical Analysis 15 Computers & Mathematics with Applications 15 Mathematics of Computation 14 SIAM Journal on Scientific Computing 9 Computer Methods in Applied Mechanics and Engineering 9 BIT 9 Computational Methods in Applied Mathematics 9 Molecular Based Mathematical Biology 8 Communications in Mathematical Physics 8 Journal of Mathematical Analysis and Applications 7 Classical and Quantum Gravity 6 Applied Numerical Mathematics 6 Numerical Algorithms 6 Numerical Linear Algebra with Applications 6 Journal of Mathematical Fluid Mechanics 6 Annales Henri Poincaré 6 Communications in Computational Physics 5 Numerical Methods for Partial Differential Equations 5 International Journal of Numerical Analysis and Modeling 4 Journal of Differential Equations 4 Applied Mathematics Letters 4 International Journal of Computer Mathematics 4 Advances in Computational Mathematics 4 Advances in Applied Mathematics and Mechanics 4 Science China. Mathematics 3 Computer Physics Communications 3 Journal of Mathematical Biology 3 Bulletin of Mathematical Biology 3 Applied Mathematics and Computation 3 Computing 3 Mathematics and Computers in Simulation 3 Physica D 3 Applied Mathematical Modelling 3 Journal of Nonlinear Science 3 Calculus of Variations and Partial Differential Equations 3 Communications in Numerical Methods in Engineering 3 Computing and Visualization in Science 3 Boundary Value Problems 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Acta Mechanica 2 Applicable Analysis 2 General Relativity and Gravitation 2 Mathematical Methods in the Applied Sciences 2 Journal of Geometry and Physics 2 Acta Mathematica Vietnamica 2 Applied Mathematics and Optimization 2 International Journal of Mathematics and Mathematical Sciences 2 International Journal for Numerical Methods in Engineering 2 Bulletin of the Korean Mathematical Society 2 Acta Applicandae Mathematicae 2 Asymptotic Analysis 2 Applications of Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 Bulletin of the American Mathematical Society. New Series 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Computational Geosciences 2 Living Reviews in Relativity 2 Nonlinear Analysis. Real World Applications 2 Inverse Problems in Science and Engineering 2 SIAM/ASA Journal on Uncertainty Quantification 2 Computational and Mathematical Biophysics 1 Biological Cybernetics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Calcolo 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Constructive Approximation 1 COMPEL 1 Computational Geometry 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics ...and 37 more Serials all top 5 Cited in 46 Fields 313 Numerical analysis (65-XX) 235 Partial differential equations (35-XX) 82 Fluid mechanics (76-XX) 54 Optics, electromagnetic theory (78-XX) 49 Biology and other natural sciences (92-XX) 37 Relativity and gravitational theory (83-XX) 26 Differential geometry (53-XX) 26 Mechanics of deformable solids (74-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Ordinary differential equations (34-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Global analysis, analysis on manifolds (58-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Operator theory (47-XX) 9 Computer science (68-XX) 9 Systems theory; control (93-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Integral equations (45-XX) 6 Functional analysis (46-XX) 6 Statistics (62-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 Mechanics of particles and systems (70-XX) 3 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 General topology (54-XX) 3 Geophysics (86-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year