## Holst, Michael J.

Compute Distance To:
 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
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### 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.
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### 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
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### 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)

### 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 1186.92005
Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A.
2008
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions. Zbl 1195.92004
Lu, Benzhuo; Holst, Michael J.; McCammon, J. Andrew; Zhou, Y. C.
2010
Green’s functions and boundary value problems. 3rd ed. Zbl 1221.35001
Stakgold, Ivar; Holst, Michael J.
2011
Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211
Chen, Long; Holst, Michael; Xu, Jinchao
2009
The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478
Chen, Long; Holst, Michael J.; Xu, Jinchao
2007
Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134
Holst, M.
2001
Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241
Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur
2010
Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions. Zbl 1175.83010
Holst, Michael; Nagy, Gabriel; Tsogtgerel, Gantumur
2009
Generalized Green’s functions and the effective domain of influence. Zbl 1078.65095
Estep, Donald; Holst, Michael; Larson, Mats
2005
Bank, Randolph E.; Holst, Michael
2000
Adaptive finite element modeling techniques for the Poisson-Boltzmann equation. Zbl 1373.82077
Holst, M.; McCammon, J. A.; Yu, Z.; Zhou, Y. C.; Zhu, Y.
2012
Bank, Randolph E.; Holst, Michael
2003
Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces. Zbl 1263.65114
Holst, Michael; Stern, Ari
2012
Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. Zbl 1296.65153
Ayuso De Dios, Blanca; Holst, Michael; Zhu, Yunrong; Zikatanov, Ludmil
2014
Far-from-constant mean curvature solutions of Einstein’s constraint equations with positive Yamabe metrics. Zbl 1228.83015
Holst, M.; Nagy, G.; Tsogtgerel, G.
2008
The role of the inner product in stopping criteria for conjugate gradient iterations. Zbl 0984.65025
Ashby, S. F.; Holst, M. J.; Manteuffel, T. A.; Saylor, P. E.
2001
Convergence of goal-oriented adaptive finite element methods for nonsymmetric problems. Zbl 1337.65139
Holst, Michael; Pollock, Sara
2016
Efficient mesh optimization schemes based on optimal Delaunay triangulations. Zbl 1225.65113
Chen, Long; Holst, Michael
2011
Accounting for stability: A posteriori error estimates based on residuals and variational analysis. Zbl 0994.65097
Estep, Donald; Holst, Michael; Mikulencak, Duane
2002
Determining projections and functionals for weak solutions of the Navier-Stokes equations. Zbl 0873.35062
Holst, M. J.; Titi, E. S.
1997
Convergence of goal-oriented adaptive finite element methods for semilinear problems. Zbl 1388.65149
Holst, Michael; Pollock, Sara; Zhu, Yunrong
2015
Optimality of multilevel preconditioners for local mesh refinement in three dimensions. Zbl 1153.65093
Aksoylu, Burak; Holst, Michael
2006
Non-CMC solutions to the Einstein constraint equations on asymptotically Euclidean manifolds with apparent horizon boundaries. Zbl 1307.83002
Holst, Michael; Meier, Caleb
2015
An efficient, reliable and robust error estimator for elliptic problems in $$\mathbb R^3$$. Zbl 1230.65119
Holst, Michael; Ovall, Jeffrey S.; Szypowski, Ryan
2011
An Odyssey into local refinement and multilevel preconditioning. III: Implementation and numerical experiments. Zbl 1048.65104
Aksoylu, Burak; Bond, Stephen; Holst, Michael
2003
The Lichnerowicz equation on compact manifolds with boundary. Zbl 1276.83007
Holst, Michael; Tsogtgerel, Gantumur
2013
Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation. Zbl 1263.78011
Aksoylu, Burak; Bond, Stephen D.; Cyr, Eric C.; Holst, Michael
2012
Schwarz methods: To symmetrize or not to symmetrize. Zbl 0880.65090
Holst, Michael; Vandewalle, Stefan
1997
Finite element exterior calculus for evolution problems. Zbl 1399.65252
Gillette, Andrew; Holst, Michael; Zhu, Yunrong
2017
Two-grid methods for semilinear interface problems. Zbl 1274.65299
Holst, Michael; Szypowski, Ryan; Zhu, Yunrong
2013
A nonlinear elasticity model of macromolecular conformational change induced by electrostatic forces. Zbl 1128.74013
Zhou, Y. C.; Holst, Michael; McCammon, J. Andrew
2008
Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions. Zbl 1205.80084
Holst, Michael J.; Larson, Mats G.; Målqvist, Axel; Söderlund, Robert
2010
Multiplication in Sobolev spaces, revisited. Zbl 07447116
2021
Nearest neighbor classification with dependent training sequences. Zbl 1043.62057
Holst, M.; Irle, A.
2001
Non-CMC solutions of the Einstein constraint equations on compact manifolds with apparent horizon boundaries. Zbl 1390.83020
Holst, Michael; Meier, Caleb; Tsogtgerel, G.
2018
Multi-core CPU or GPU-accelerated multiscale modeling for biomolecular complexes. Zbl 1276.92030
Liao, Tao; Zhang, Yongjie; Kekenes-Huskey, Peter M.; Cheng, Yuhui; Michailova, Anushka; McCulloch, Andrew D.; Holst, Michael; McCammon, J. Andrew
2013
Solving the Einstein constraint equations on multi-block triangulations using finite element methods. Zbl 1172.83007
Korobkin, Oleg; Aksoylu, Burak; Holst, Michael; Pazos, Enrique; Tiglio, Manuel
2009
Convergence and optimality of adaptive mixed methods for Poisson’s equation in the FEEC framework. Zbl 1463.65371
Holst, Michael; Li, Yuwen; Mihalik, Adam; Szypowski, Ryan
2020
Semilinear mixed problems on Hilbert complexes and their numerical approximation. Zbl 1263.65113
Holst, Michael; Stern, Ari
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
2013
Nonparametric density estimation for randomly perturbed elliptic problems. III: Convergence, computational cost, and generalizations. Zbl 1295.65007
Estep, Donald; Holst, Michael J.; Målqvist, Axel
2012
Generalized solutions to semilinear elliptic PDE with applications to the Lichnerowicz equation. Zbl 1305.35051
Holst, Michael; Meier, Caleb
2014
The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools. Zbl 1350.83009
Holst, Michael; Sarbach, Olivier; Tiglio, Manuel; Vallisneri, Michele
2016
The implementation of the colored abstract simplicial complex and its application to mesh generation. Zbl 07193377
Lee, Christopher T.; Moody, John B.; Amaro, Rommie E.; Mccammon, J. Andrew; Holst, Michael J.
2019
Multiplication in Sobolev spaces, revisited. Zbl 07447116
2021
Convergence and optimality of adaptive mixed methods for Poisson’s equation in the FEEC framework. Zbl 1463.65371
Holst, Michael; Li, Yuwen; Mihalik, Adam; Szypowski, Ryan
2020
The implementation of the colored abstract simplicial complex and its application to mesh generation. Zbl 07193377
Lee, Christopher T.; Moody, John B.; Amaro, Rommie E.; Mccammon, J. Andrew; Holst, Michael J.
2019
Non-CMC solutions of the Einstein constraint equations on compact manifolds with apparent horizon boundaries. Zbl 1390.83020
Holst, Michael; Meier, Caleb; Tsogtgerel, G.
2018
Finite element exterior calculus for evolution problems. Zbl 1399.65252
Gillette, Andrew; Holst, Michael; Zhu, Yunrong
2017
Convergence of goal-oriented adaptive finite element methods for nonsymmetric problems. Zbl 1337.65139
Holst, Michael; Pollock, Sara
2016
The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools. Zbl 1350.83009
Holst, Michael; Sarbach, Olivier; Tiglio, Manuel; Vallisneri, Michele
2016
Convergence of goal-oriented adaptive finite element methods for semilinear problems. Zbl 1388.65149
Holst, Michael; Pollock, Sara; Zhu, Yunrong
2015
Non-CMC solutions to the Einstein constraint equations on asymptotically Euclidean manifolds with apparent horizon boundaries. Zbl 1307.83002
Holst, Michael; Meier, Caleb
2015
Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. Zbl 1296.65153
Ayuso De Dios, Blanca; Holst, Michael; Zhu, Yunrong; Zikatanov, Ludmil
2014
Generalized solutions to semilinear elliptic PDE with applications to the Lichnerowicz equation. Zbl 1305.35051
Holst, Michael; Meier, Caleb
2014
The Lichnerowicz equation on compact manifolds with boundary. Zbl 1276.83007
Holst, Michael; Tsogtgerel, Gantumur
2013
Two-grid methods for semilinear interface problems. Zbl 1274.65299
Holst, Michael; Szypowski, Ryan; Zhu, Yunrong
2013
Multi-core CPU or GPU-accelerated multiscale modeling for biomolecular complexes. Zbl 1276.92030
Liao, Tao; Zhang, Yongjie; Kekenes-Huskey, Peter M.; Cheng, Yuhui; Michailova, Anushka; McCulloch, Andrew D.; Holst, Michael; McCammon, J. Andrew
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
2013
Adaptive finite element modeling techniques for the Poisson-Boltzmann equation. Zbl 1373.82077
Holst, M.; McCammon, J. A.; Yu, Z.; Zhou, Y. C.; Zhu, Y.
2012
Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces. Zbl 1263.65114
Holst, Michael; Stern, Ari
2012
Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation. Zbl 1263.78011
Aksoylu, Burak; Bond, Stephen D.; Cyr, Eric C.; Holst, Michael
2012
Semilinear mixed problems on Hilbert complexes and their numerical approximation. Zbl 1263.65113
Holst, Michael; Stern, Ari
2012
Nonparametric density estimation for randomly perturbed elliptic problems. III: Convergence, computational cost, and generalizations. Zbl 1295.65007
Estep, Donald; Holst, Michael J.; Målqvist, Axel
2012
Green’s functions and boundary value problems. 3rd ed. Zbl 1221.35001
Stakgold, Ivar; Holst, Michael J.
2011
Efficient mesh optimization schemes based on optimal Delaunay triangulations. Zbl 1225.65113
Chen, Long; Holst, Michael
2011
An efficient, reliable and robust error estimator for elliptic problems in $$\mathbb R^3$$. Zbl 1230.65119
Holst, Michael; Ovall, Jeffrey S.; Szypowski, Ryan
2011
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions. Zbl 1195.92004
Lu, Benzhuo; Holst, Michael J.; McCammon, J. Andrew; Zhou, Y. C.
2010
Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241
Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur
2010
Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions. Zbl 1205.80084
Holst, Michael J.; Larson, Mats G.; Målqvist, Axel; Söderlund, Robert
2010
Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211
Chen, Long; Holst, Michael; Xu, Jinchao
2009
Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions. Zbl 1175.83010
Holst, Michael; Nagy, Gabriel; Tsogtgerel, Gantumur
2009
Solving the Einstein constraint equations on multi-block triangulations using finite element methods. Zbl 1172.83007
Korobkin, Oleg; Aksoylu, Burak; Holst, Michael; Pazos, Enrique; Tiglio, Manuel
2009
Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Zbl 1186.92005
Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A.
2008
Far-from-constant mean curvature solutions of Einstein’s constraint equations with positive Yamabe metrics. Zbl 1228.83015
Holst, M.; Nagy, G.; Tsogtgerel, G.
2008
A nonlinear elasticity model of macromolecular conformational change induced by electrostatic forces. Zbl 1128.74013
Zhou, Y. C.; Holst, Michael; McCammon, J. Andrew
2008
The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478
Chen, Long; Holst, Michael J.; Xu, Jinchao
2007
Optimality of multilevel preconditioners for local mesh refinement in three dimensions. Zbl 1153.65093
Aksoylu, Burak; Holst, Michael
2006
Generalized Green’s functions and the effective domain of influence. Zbl 1078.65095
Estep, Donald; Holst, Michael; Larson, Mats
2005
Bank, Randolph E.; Holst, Michael
2003
An Odyssey into local refinement and multilevel preconditioning. III: Implementation and numerical experiments. Zbl 1048.65104
Aksoylu, Burak; Bond, Stephen; Holst, Michael
2003
Accounting for stability: A posteriori error estimates based on residuals and variational analysis. Zbl 0994.65097
Estep, Donald; Holst, Michael; Mikulencak, Duane
2002
Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134
Holst, M.
2001
The role of the inner product in stopping criteria for conjugate gradient iterations. Zbl 0984.65025
Ashby, S. F.; Holst, M. J.; Manteuffel, T. A.; Saylor, P. E.
2001
Nearest neighbor classification with dependent training sequences. Zbl 1043.62057
Holst, M.; Irle, A.
2001
Bank, Randolph E.; Holst, Michael
2000
Determining projections and functionals for weak solutions of the Navier-Stokes equations. Zbl 0873.35062
Holst, M. J.; Titi, E. S.
1997
Schwarz methods: To symmetrize or not to symmetrize. Zbl 0880.65090
Holst, Michael; Vandewalle, Stefan
1997
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
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### 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)