Edit Profile (opens in new tab) Bastian, Peter Co-Author Distance Author ID: bastian.peter Published as: Bastian, Peter; Bastian, P. Documents Indexed: 57 Publications since 1989, including 2 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 94 Co-Authors with 48 Joint Publications 1,815 Co-Co-Authors all top 5 Co-Authors 8 single-authored 9 Engwer, Christian 7 Ippisch, Olaf 7 Wittum, Gabriel 6 Blatt, Markus 6 Ohlberger, Mario 5 Lang, Stefan M. 5 Sander, Oliver 5 Scheichl, Robert 4 Dedner, Andreas S. 4 Horton, Graham 4 Johannsen, Klaus 4 Klöfkorn, Robert 4 Müthing, Steffen 4 Piatkowski, Marian 4 Reichenberger, Volker 4 Wieners, Christian 3 Birken, Klaus 3 Marnach, Sven 3 Seelinger, Linus 2 Baron, Romain 2 Heimann, Felix 2 Kempf, Dominic 2 Kornhuber, Ralf 2 Neuss, Nicolas 2 Paxion, S. 2 Sabir, Muhammad Farooq 2 Shah, Abdullah 2 Wrobel, Christian 1 Ali, Ijaz 1 Athale, Chaitanya A. 1 Bader, Michael 1 Bénézech, Jean 1 Berninger, Heiko 1 Burmeister, Jens 1 Buse, Gerrit 1 Butler, Richard J. 1 Chavarría Krauser, Andrés 1 Chen, Zhangxin 1 Dodwell, Timothy J. 1 Dreier, Nils-Arne 1 Droske, Marc 1 Drouvelis, P. S. 1 Drouvelis, Panos 1 Eckstein, K. 1 Eigel, Martin 1 Eils, Roland 1 Ewing, Richard Edward 1 Fahlke, Jorrit 1 Ferziger, Joel Henry 1 Fritze, René 1 Gicquel, Olivier 1 Gordner, Achim 1 Gräser, Carsten 1 Grüninger, Christoph 1 Hackbusch, Wolfgang 1 Helmig, Rainer 1 Henning, Patrick 1 Hermann, Harald 1 Heß, René 1 Iliev, Oleg P. 1 Jäger, Willi 1 Jakobs, Hartmut 1 Kappel, Constantin 1 Klein, Ole 1 Kraus, Johannes K. 1 Kröner, Dietmar 1 Ma, Chupeng 1 Milk, René 1 Mohring, Jan 1 Muhammad, Wazir 1 Müller, Eike Hermann 1 Neubauer, Thimo 1 Neumann, Rebecca 1 Ngo, A. Q. T. 1 Ngo, Adrian 1 Ptashnyk, Mariya 1 Qasim, Muhammad 1 Rannabauer, Leonhard 1 Reinarz, Anne 1 Rentz-Reichert, Henrik 1 Rezanezhad, F. 1 Rivière, Beatrice M. 1 Rumpf, Martin 1 Sakmann, Bert 1 Schiffler, Gerd 1 Schmelcher, Peter 1 Shokina, Nina 1 Simous, N. 1 Smetana, Kathrin 1 Strehlow, Arne 1 Tafaj, Enkelejda 1 Theévenin, D. 1 Thévenin, Dominique 1 Vogel, Hans-jörg 1 Volkert, Jens J. 1 Volz, Dietmar 1 Wheeler, Michael all top 5 Serials 3 Journal of Computational Physics 3 Computing 3 Computational Geosciences 2 Computers & Mathematics with Applications 2 International Journal for Numerical Methods in Fluids 2 SIAM Journal on Scientific Computing 2 Numerical Linear Algebra with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 ACM Transactions on Mathematical Software 1 International Journal for Numerical Methods in Engineering 1 Kybernetika 1 Mathematics and Computers in Simulation 1 SIAM Journal on Scientific and Statistical Computing 1 Numerical Methods for Partial Differential Equations 1 Journal of Computational Neuroscience 1 Computing and Visualization in Science 1 International Journal of Parallel, Emergent and Distributed Systems 1 Radon Series on Computational and Applied Mathematics 1 Journal of Theoretical Biology all top 5 Fields 42 Numerical analysis (65-XX) 25 Fluid mechanics (76-XX) 23 Partial differential equations (35-XX) 4 Biology and other natural sciences (92-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 792 times in 541 Documents Cited by ▼ Year ▼ A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. Zbl 1151.65088 Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. 126 2008 A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. Zbl 1151.65089 Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O. 101 2008 UG – a flexible software toolbox for solving partial differential equations. Zbl 0970.65129 Bastian, P.; Birken, K.; Johannsen, K.; Lang, S.; Neuß, N.; Rentz-Reichert, H.; Wieners, C. 95 1997 An unfitted finite element method using discontinuous Galerkin. Zbl 1176.65131 Bastian, Peter; Engwer, Christian 60 2009 Superconvergence and \(H(div)\) projection for discontinuous Galerkin methods. Zbl 1030.76026 Bastian, Peter; Rivière, Béatrice 54 2003 A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure. Zbl 1392.76072 Bastian, Peter 38 2014 Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems. Zbl 1274.65313 Bastian, Peter; Blatt, Markus; Scheichl, Robert 38 2012 Generic implementation of finite element methods in the distributed and unified numerics environment (DUNE). Zbl 1195.65130 Bastian, Peter; Heimann, Felix; Marnach, Sven 36 2010 The Dune framework: basic concepts and recent developments. Zbl 1524.65003 Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver 24 2021 An unfitted interior penalty discontinuous Galerkin method for incompressible Navier-Stokes two-phase flow. Zbl 1430.76364 Heimann, F.; Engwer, C.; Ippisch, O.; Bastian, P. 21 2013 A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier-Stokes equations. Zbl 1380.76044 Piatkowski, Marian; Müthing, Steffen; Bastian, Peter 19 2018 Modeling and simulation of two-phase two-component flow with disappearing nonwetting phase. Zbl 1356.76384 Neumann, Rebecca; Bastian, Peter; Ippisch, Olaf 14 2013 Higher order discontinuous Galerkin methods for flow and transport in porous media. Zbl 1138.76379 Bastian, Peter 14 2003 Numerical simulation of multiphase flow in fractured porous media. Zbl 1072.76575 Bastian, Peter; Chen, Zhangxin; Ewing, Richard E.; Helmig, Rainer; Jakobs, Hartmut; Reichenberger, Volker 12 2000 A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods. Zbl 0928.65120 Bastian, Peter; Birken, Klaus; Johannsen, Klaus; Lang, Stefan; Reichenberger, Volker; Wieners, Christian; Wittum, Gabriel; Wrobel, Christian 12 1999 Adaptive multigrid methods: The UG concept. Zbl 0808.65126 Bastian, P.; Wittum, G. 11 1994 Additive and multiplicative multi-grid – a comparison. Zbl 0908.65107 Bastian, P.; Hackbusch, W.; Wittum, G. 11 1998 Infrastructure for the coupling of dune grids. Zbl 1311.76100 Bastian, Peter; Buse, Gerrit; Sander, Oliver 9 2010 Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations. Zbl 1452.65322 Bastian, Peter; Müller, Eike Hermann; Müthing, Steffen; Piatkowski, Marian 9 2019 On robust and adaptive multi-grid methods. Zbl 0814.65114 Bastian, P.; Wittum, G. 8 1994 Couplex benchmark computations obtained with the software toolbox UG. Zbl 1060.86001 Bastian, Peter; Lang, Stefan 8 2004 Efficient numerical scheme for solving the Allen-Cahn equation. Zbl 1407.65130 Shah, Abdullah; Sabir, Muhammad; Qasim, Muhammad; Bastian, Peter 7 2018 Parallel adaptive multigrid methods in plane linear elasticity problems. Zbl 0893.73057 Bastian, P.; Lang, S.; Eckstein, K. 7 1997 Load balancing for adaptive multigrid methods. Zbl 0911.65122 Bastian, Peter 7 1998 An unfitted discontinuous Galerkin method for pore-scale simulations of solute transport. Zbl 1309.76120 Bastian, Peter; Engwer, Christian; Fahlke, Jorrit; Ippisch, Olaf 7 2011 Towards a unified framework for scientific computing. Zbl 1067.65103 Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 6 2005 Implementation of a parallel multigrid method for parabolic partial differential equations. Zbl 0741.65074 Bastian, Peter; Burmeister, Jens; Horton, Graham 6 1991 Numerical simulation and experimental studies of unsaturated water flow in heterogeneous systems. Zbl 1398.76213 Bastian, P.; Ippisch, O.; Rezanezhad, F.; Vogel, H. J.; Roth, K. 5 2007 Parallel solution of partial differential equations with adaptive multigrid methods on unstructured grids. Zbl 0945.65139 Bastian, Peter; Birken, Klaus; Johannsen, Klaus; Lang, Stefan; Reichenberger, Volker; Wieners, Christian; Wittum, Gabriel; Wrobel, Christian 4 2000 A mathematical model of tumor hypoxia targeting in cancer treatment and its numerical simulation. Zbl 1398.92129 Sabir, Muhammad; Shah, Abdullah; Muhammad, Wazir; Ali, Ijaz; Bastian, Peter 4 2017 Modelling in vitro growth of dense root networks. Zbl 1400.92333 Bastian, Peter; Chavarría-Krauser, Andrés; Engwer, Christian; Jäger, Willi; Marnach, Sven; Ptashnyk, Mariya 4 2008 Parallel adaptive multigrid methods. (Parallele adaptive Mehrgitterverfahren.) Zbl 0818.65119 Bastian, Peter 4 1994 Parallel implementation of the recursive Green’s function method. Zbl 1119.78018 Drouvelis, P. S.; Schmelcher, P.; Bastian, P. 4 2006 Locally refined solution of unsymmetric and nonlinear problems. Zbl 0788.65107 Bastian, Peter 3 1993 Parallelization of robust multigrid methods. ILU factorization and frequency decomposition method. Zbl 0737.65021 Bastian, Peter; Horton, Graham 3 1991 Numerical solution of steady-state groundwater flow and solute transport problems: discontinuous Galerkin based methods compared to the streamline diffusion approach. Zbl 1423.76433 Ngo, A. Q. T.; Bastian, P.; Ippisch, O. 2 2015 Parallel adaptive multigrid methods. (Parallele adaptive Mehrgitterverfahren.) Zbl 0840.65120 Bastian, Peter 2 1996 Simulation of flow in porous media. Applications in energy and environment. Based on the invited talks of the workshop “Simulation of flow and transport in porous media and applications in waste management and CO\(_2\) sequestration”, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, October 3–7, 2011. Zbl 1270.76004 2 2013 Benchmark 3D: symmetric weighted interior penalty discontinuous Galerkin scheme. Zbl 1246.76042 Bastian, Peter 2 2011 Automatic code generation for high-performance discontinuous Galerkin methods on modern architectures. Zbl 07467966 Kempf, Dominic; Heß, René; Müthing, Steffen; Bastian, Peter 2 2021 Adaptive multigrid solution of the convection-diffusion on the DIRMU multiprocessor. Zbl 0675.65106 Bastian, P.; Ferziger, J. H.; Horton, G.; Volkert, J. 1 1989 Multilevel spectral domain decomposition. Zbl 1517.65125 Bastian, Peter; Scheichl, Robert; Seelinger, Linus; Strehlow, Arne 1 2023 Multilevel spectral domain decomposition. Zbl 1517.65125 Bastian, Peter; Scheichl, Robert; Seelinger, Linus; Strehlow, Arne 1 2023 The Dune framework: basic concepts and recent developments. Zbl 1524.65003 Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver 24 2021 Automatic code generation for high-performance discontinuous Galerkin methods on modern architectures. Zbl 07467966 Kempf, Dominic; Heß, René; Müthing, Steffen; Bastian, Peter 2 2021 Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations. Zbl 1452.65322 Bastian, Peter; Müller, Eike Hermann; Müthing, Steffen; Piatkowski, Marian 9 2019 A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier-Stokes equations. Zbl 1380.76044 Piatkowski, Marian; Müthing, Steffen; Bastian, Peter 19 2018 Efficient numerical scheme for solving the Allen-Cahn equation. Zbl 1407.65130 Shah, Abdullah; Sabir, Muhammad; Qasim, Muhammad; Bastian, Peter 7 2018 A mathematical model of tumor hypoxia targeting in cancer treatment and its numerical simulation. Zbl 1398.92129 Sabir, Muhammad; Shah, Abdullah; Muhammad, Wazir; Ali, Ijaz; Bastian, Peter 4 2017 Numerical solution of steady-state groundwater flow and solute transport problems: discontinuous Galerkin based methods compared to the streamline diffusion approach. Zbl 1423.76433 Ngo, A. Q. T.; Bastian, P.; Ippisch, O. 2 2015 A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure. Zbl 1392.76072 Bastian, Peter 38 2014 An unfitted interior penalty discontinuous Galerkin method for incompressible Navier-Stokes two-phase flow. Zbl 1430.76364 Heimann, F.; Engwer, C.; Ippisch, O.; Bastian, P. 21 2013 Modeling and simulation of two-phase two-component flow with disappearing nonwetting phase. Zbl 1356.76384 Neumann, Rebecca; Bastian, Peter; Ippisch, Olaf 14 2013 Simulation of flow in porous media. Applications in energy and environment. Based on the invited talks of the workshop “Simulation of flow and transport in porous media and applications in waste management and CO\(_2\) sequestration”, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, October 3–7, 2011. Zbl 1270.76004 2 2013 Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems. Zbl 1274.65313 Bastian, Peter; Blatt, Markus; Scheichl, Robert 38 2012 An unfitted discontinuous Galerkin method for pore-scale simulations of solute transport. Zbl 1309.76120 Bastian, Peter; Engwer, Christian; Fahlke, Jorrit; Ippisch, Olaf 7 2011 Benchmark 3D: symmetric weighted interior penalty discontinuous Galerkin scheme. Zbl 1246.76042 Bastian, Peter 2 2011 Generic implementation of finite element methods in the distributed and unified numerics environment (DUNE). Zbl 1195.65130 Bastian, Peter; Heimann, Felix; Marnach, Sven 36 2010 Infrastructure for the coupling of dune grids. Zbl 1311.76100 Bastian, Peter; Buse, Gerrit; Sander, Oliver 9 2010 An unfitted finite element method using discontinuous Galerkin. Zbl 1176.65131 Bastian, Peter; Engwer, Christian 60 2009 A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. Zbl 1151.65088 Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. 126 2008 A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. Zbl 1151.65089 Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O. 101 2008 Modelling in vitro growth of dense root networks. Zbl 1400.92333 Bastian, Peter; Chavarría-Krauser, Andrés; Engwer, Christian; Jäger, Willi; Marnach, Sven; Ptashnyk, Mariya 4 2008 Numerical simulation and experimental studies of unsaturated water flow in heterogeneous systems. Zbl 1398.76213 Bastian, P.; Ippisch, O.; Rezanezhad, F.; Vogel, H. J.; Roth, K. 5 2007 Parallel implementation of the recursive Green’s function method. Zbl 1119.78018 Drouvelis, P. S.; Schmelcher, P.; Bastian, P. 4 2006 Towards a unified framework for scientific computing. Zbl 1067.65103 Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 6 2005 Couplex benchmark computations obtained with the software toolbox UG. Zbl 1060.86001 Bastian, Peter; Lang, Stefan 8 2004 Superconvergence and \(H(div)\) projection for discontinuous Galerkin methods. Zbl 1030.76026 Bastian, Peter; Rivière, Béatrice 54 2003 Higher order discontinuous Galerkin methods for flow and transport in porous media. Zbl 1138.76379 Bastian, Peter 14 2003 Numerical simulation of multiphase flow in fractured porous media. Zbl 1072.76575 Bastian, Peter; Chen, Zhangxin; Ewing, Richard E.; Helmig, Rainer; Jakobs, Hartmut; Reichenberger, Volker 12 2000 Parallel solution of partial differential equations with adaptive multigrid methods on unstructured grids. Zbl 0945.65139 Bastian, Peter; Birken, Klaus; Johannsen, Klaus; Lang, Stefan; Reichenberger, Volker; Wieners, Christian; Wittum, Gabriel; Wrobel, Christian 4 2000 A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods. Zbl 0928.65120 Bastian, Peter; Birken, Klaus; Johannsen, Klaus; Lang, Stefan; Reichenberger, Volker; Wieners, Christian; Wittum, Gabriel; Wrobel, Christian 12 1999 Additive and multiplicative multi-grid – a comparison. Zbl 0908.65107 Bastian, P.; Hackbusch, W.; Wittum, G. 11 1998 Load balancing for adaptive multigrid methods. Zbl 0911.65122 Bastian, Peter 7 1998 UG – a flexible software toolbox for solving partial differential equations. Zbl 0970.65129 Bastian, P.; Birken, K.; Johannsen, K.; Lang, S.; Neuß, N.; Rentz-Reichert, H.; Wieners, C. 95 1997 Parallel adaptive multigrid methods in plane linear elasticity problems. Zbl 0893.73057 Bastian, P.; Lang, S.; Eckstein, K. 7 1997 Parallel adaptive multigrid methods. (Parallele adaptive Mehrgitterverfahren.) Zbl 0840.65120 Bastian, Peter 2 1996 Adaptive multigrid methods: The UG concept. Zbl 0808.65126 Bastian, P.; Wittum, G. 11 1994 On robust and adaptive multi-grid methods. Zbl 0814.65114 Bastian, P.; Wittum, G. 8 1994 Parallel adaptive multigrid methods. (Parallele adaptive Mehrgitterverfahren.) Zbl 0818.65119 Bastian, Peter 4 1994 Locally refined solution of unsymmetric and nonlinear problems. Zbl 0788.65107 Bastian, Peter 3 1993 Implementation of a parallel multigrid method for parabolic partial differential equations. Zbl 0741.65074 Bastian, Peter; Burmeister, Jens; Horton, Graham 6 1991 Parallelization of robust multigrid methods. ILU factorization and frequency decomposition method. Zbl 0737.65021 Bastian, Peter; Horton, Graham 3 1991 Adaptive multigrid solution of the convection-diffusion on the DIRMU multiprocessor. Zbl 0675.65106 Bastian, P.; Ferziger, J. H.; Horton, G.; Volkert, J. 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 961 Authors 24 Engwer, Christian 23 Wittum, Gabriel 21 Sander, Oliver 20 Wohlmuth, Barbara I. 19 Bastian, Peter 18 Ohlberger, Mario 16 Dedner, Andreas S. 14 Klöfkorn, Robert 13 Rivière, Beatrice M. 11 Chamakuri, Nagaiah 11 Cockburn, Bernardo 11 Krause, Rolf H. 11 Radu, Florin Adrian 9 Ern, Alexandre 9 Kornhuber, Ralf 8 Knabner, Peter 8 Kunisch, Karl 8 Pop, Iuliu Sorin 7 Helmig, Rainer 7 Kronbichler, Martin 6 Blatt, Markus 6 Geiser, Jürgen 6 Logashenko, Dmitry 6 Nagaiah, Chamakuri 6 Scheichl, Robert 6 Schillinger, Dominik 6 Vohralík, Martin 6 Wieners, Christian 5 Burbulla, Samuel 5 Flemisch, Bernd 5 Henning, Patrick 5 Hüeber, Stefan 5 Kummer, Florian 5 Lehrenfeld, Christoph 5 Reusken, Arnold 5 Rohde, Christian 5 Rüde, Ulrich 5 Surulescu, Christina 4 Antonietti, Paola Francesca 4 Berninger, Heiko 4 Carvalho, Darlan K. E. 4 Elliott, Charles M. 4 Gräser, Carsten 4 Hauser, Andreas 4 Ippisch, Olaf 4 Keyes, David Elliot 4 Liu, Chen 4 Liu, Jiangguo 4 Lyra, Paulo Roberto Maciel 4 Massing, André 4 Nguyen, Ngoc Cuong 4 Pazner, Will E. 4 Rave, Stephan David 4 Reiter, Sebastian 4 Schiela, Anton 4 Smuda, Martin 4 Walloth, Mirjam 4 Weiser, Martin 4 Wheeler, Mary Fanett 4 Yang, Jiming 3 Amaziane, Brahim 3 Badia, Santiago 3 Bungartz, Hans-Joachim 3 Cai, Xiao-Chuan 3 Cangiani, Andrea 3 Capatina, Daniela 3 Class, Holger 3 Contreras, Fernando R. L. 3 Di Pietro, Daniele Antonio 3 Dreier, Nils-Arne 3 Fehn, Niklas 3 Formaggia, Luca 3 Galindez-Ramirez, Gustavo 3 Georgoulis, Emmanuil H. 3 Ghafouri, Hamid-Reza 3 Gürkan, Ceren 3 Hsu, Ming-Chen 3 Jolivet, Pierre 3 Khodayari-Samghabadi, Samaneh 3 Kim, Junseok 3 Koch, Timo 3 Kolev, Tzanio V. 3 Kumar, Kundan 3 Lamichhane, Bishnu Prasad 3 Lee, Chaeyoung 3 Luo, Li 3 Müller, Eike Hermann 3 Müthing, Steffen 3 Neckel, Tobias 3 Neff, Patrizio 3 Nolte, Martin 3 Nordbotten, Jan Martin 3 Nürnberg, Robert 3 Peterseim, Daniel 3 Plank, Gernot 3 Rank, Ernst 3 Ruess, Martin 3 Saad, Bilal M. 3 Saad, Mazen 3 Saye, Robert I. ...and 861 more Authors all top 5 Cited in 99 Serials 51 Journal of Computational Physics 45 Computer Methods in Applied Mechanics and Engineering 37 SIAM Journal on Scientific Computing 31 Computational Geosciences 28 Computing and Visualization in Science 22 Computers & Mathematics with Applications 22 Applied Numerical Mathematics 19 Journal of Computational and Applied Mathematics 19 Journal of Scientific Computing 13 Mathematics of Computation 10 Computing 10 International Journal for Numerical Methods in Engineering 9 Computers and Fluids 9 SIAM Journal on Numerical Analysis 8 International Journal for Numerical Methods in Fluids 8 Numerische Mathematik 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Applied Mathematics and Computation 6 Computational Mechanics 6 Numerical Methods for Partial Differential Equations 6 Numerical Linear Algebra with Applications 5 Mathematics and Computers in Simulation 5 Applied Mathematical Modelling 4 Journal of Mathematical Biology 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Computer Physics Communications 3 Journal of Fluid Mechanics 3 International Journal of Computer Mathematics 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Computational Methods in Applied Mathematics 3 Journal of Numerical Mathematics 3 Multiscale Modeling & Simulation 3 GEM - International Journal on Geomathematics 3 Communications on Applied Mathematics and Computation 2 Inverse Problems 2 Mathematical Biosciences 2 ACM Transactions on Mathematical Software 2 Kybernetika 2 Numerical Algorithms 2 Computational Optimization and Applications 2 Turkish Journal of Mathematics 2 Mathematical Problems in Engineering 2 Vietnam Journal of Mathematics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Acta Numerica 2 International Journal of Numerical Analysis and Modeling 2 Mathematical Biosciences and Engineering 2 Journal of Theoretical Biology 2 SIAM/ASA Journal on Uncertainty Quantification 1 Acta Mechanica 1 Biological Cybernetics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Bulletin of Mathematical Biology 1 Calcolo 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Parallel Computing 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Science in China. Series A 1 International Journal of Computational Geometry & Applications 1 Linear Algebra and its Applications 1 Journal of Nonlinear Science 1 Communications in Numerical Methods in Engineering 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization Methods & Software 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Methodology and Computing in Applied Probability 1 Optimization and Engineering 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 Journal of Cosmology and Astroparticle Physics 1 Oberwolfach Reports 1 International Journal of Parallel, Emergent and Distributed Systems 1 GAMM-Mitteilungen 1 Progress in Computational Fluid Dynamics 1 Communications in Applied Mathematics and Computational Science 1 Computational & Mathematical Methods in Medicine 1 Networks and Heterogeneous Media 1 MathematicS In Action 1 Journal of Mathematics in Industry 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 Sahand Communications in Mathematical Analysis 1 SMAI Journal of Computational Mathematics 1 Journal of Computational Physics: X all top 5 Cited in 29 Fields 408 Numerical analysis (65-XX) 236 Fluid mechanics (76-XX) 176 Partial differential equations (35-XX) 70 Mechanics of deformable solids (74-XX) 42 Biology and other natural sciences (92-XX) 25 Geophysics (86-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Computer science (68-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year