Edit Profile (opens in new tab) Tornberg, Anna-Karin Co-Author Distance Author ID: tornberg.anna-karin Published as: Tornberg, Anna-Karin; Tornberg, A.-K. Homepage: https://www.kth.se/profile/akto/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp Documents Indexed: 64 Publications since 1997, including 8 Additional arXiv Preprints Co-Authors: 38 Co-Authors with 58 Joint Publications 677 Co-Co-Authors all top 5 Co-Authors 6 single-authored 13 Engquist, Bjorn E. 8 af Klinteberg, Ludvig 5 Fryklund, Fredrik 5 Pålsson, Sara 5 Sorgentone, Chiara 4 Bagge, Joar 4 Lindbo, Dag 3 Gustavsson, Katarina 2 Broms, Anna 2 Khatri, Shilpa 2 Marin, Oana 2 Runborg, Olof 2 Shamshirgar, Davood Saffar 2 Shamshirgar, Davoud Saffar 2 Shelley, Michael J. 2 Siegel, Michael 1 Amberg, Gustav 1 Bagheri, Babak 1 Bystricky, Lukas 1 Do-Quang, Minh 1 Engblom, Stefan 1 Greengard, Leslie F. 1 Gustafsson, Bertil 1 Hess, Berk 1 Kanevsky, Alex 1 Kropinski, Mary Catherine A. 1 Lehto, Erik 1 Lundell, Fredrik 1 Metcalfe, Ralph W. 1 Ojala, Rikard 1 Rosen, Tzachi 1 Sandberg, Mattias 1 Scott, Larkin Ridgway 1 Srinivasan, Shriram 1 Tsai, Yen-Hsi Richard 1 Vlahovska, Petia M. 1 Wahlund, Per 1 Zahedi, Sara all top 5 Serials 24 Journal of Computational Physics 5 Advances in Computational Mathematics 3 Computers and Fluids 3 BIT 2 Research in the Mathematical Sciences 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Fluid Mechanics 1 Journal of Scientific Computing 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 Methods and Applications of Analysis 1 Computing and Visualization in Science 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Communications in Computational Physics all top 5 Fields 37 Numerical analysis (65-XX) 34 Fluid mechanics (76-XX) 11 Partial differential equations (35-XX) 6 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Approximations and expansions (41-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 979 times in 617 Documents Cited by ▼ Year ▼ Numerical approximations of singular source terms in differential equations. Zbl 1115.76392 Tornberg, Anna-Karin; Engquist, Björn 132 2004 Discretization of Dirac delta functions in level set methods. Zbl 1074.65025 Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard 92 2005 Simulating the dynamics and interactions of flexible fibers in Stokes flows. Zbl 1115.76413 Tornberg, Anna-Karin; Shelley, Michael J. 77 2004 Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085 Tornberg, Anna-Karin; Engquist, Björn 54 2003 A finite element based level-set method for multiphase flow applications. Zbl 1060.76578 Tornberg, Anna-Karin; Engquist, Björn 40 2000 A fast multipole method for the three-dimensional Stokes equations. Zbl 1290.76116 Tornberg, Anna-Karin; Greengard, Leslie 37 2008 Spectrally accurate fast summation for periodic Stokes potentials. Zbl 1282.76151 Lindbo, Dag; Tornberg, Anna-Karin 34 2010 High-frequency wave propagation by the segment projection method. Zbl 0996.78001 Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin 31 2002 A fast integral equation method for solid particles in viscous flow using quadrature by expansion. Zbl 1373.76037 af Klinteberg, Ludvig; Tornberg, Anna-Karin 31 2016 Delta function approximations in level set methods by distance function extension. Zbl 1186.65018 Zahedi, Sara; Tornberg, Anna-Karin 29 2010 On diffuse interface modeling and simulation of surfactants in two-phase fluid flow. Zbl 1373.76334 Engblom, Stefan; Do-Quang, Minh; Amberg, Gustav; Tornberg, Anna-Karin 27 2013 Multi-dimensional quadrature of singular and discontinuous functions. Zbl 1021.65010 Tornberg, Anna-Karin 26 2002 A numerical method for two phase flows with insoluble surfactants. Zbl 1271.76209 Khatri, Shilpa; Tornberg, Anna-Karin 26 2011 Spectral accuracy in fast Ewald-based methods for particle simulations. Zbl 1241.78008 Lindbo, Dag; Tornberg, Anna-Karin 25 2011 Error estimation for quadrature by expansion in layer potential evaluation. Zbl 1367.65154 af Klinteberg, Ludvig; Tornberg, Anna-Karin 24 2017 A numerical method for simulations of rigid fiber suspensions. Zbl 1140.76486 Tornberg, Anna-Karin; Gustavsson, Katarina 23 2006 An embedded boundary method for soluble surfactants with interface tracking for two-phase flows. Zbl 1349.76059 Khatri, Shilpa; Tornberg, Anna-Karin 22 2014 An accurate integral equation method for simulating multi-phase Stokes flow. Zbl 1349.76635 Ojala, Rikard; Tornberg, Anna-Karin 20 2015 A highly accurate boundary integral equation method for surfactant-laden drops in 3D. Zbl 1391.76456 Sorgentone, Chiara; Tornberg, Anna-Karin 20 2018 The segment projection method for interface tracking. Zbl 1205.76205 Tornberg, Anna-Karin; Engquist, Björn 19 2003 Fast Ewald summation for free-space Stokes potentials. Zbl 1360.65295 af Klinteberg, Ludvig; Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin 19 2017 Adaptive quadrature by expansion for layer potential evaluation in two dimensions. Zbl 1446.65204 af Klinteberg, Ludvig; Tornberg, Anna-Karin 18 2018 Interface tracking in multiphase flows. Zbl 0987.76056 Tornberg, A.-K.; Engquist, B. 18 2000 Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115 Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin 16 2014 Partition of unity extension of functions on complex domains. Zbl 1416.65475 Fryklund, Fredrik; Lehto, Erik; Tornberg, Anna-Karin 15 2018 A local target specific quadrature by expansion method for evaluation of layer potentials in 3D. Zbl 1398.65356 Siegel, Michael; Tornberg, Anna-Karin 14 2018 Modeling simple locomotors in Stokes flow. Zbl 1329.76072 Kanevsky, Alex; Shelley, Michael J.; Tornberg, Anna-Karin 10 2010 Gravity induced sedimentation of slender fibers. Zbl 1183.76230 Gustavsson, K.; Tornberg, A.-K. 9 2009 The Ewald sums for singly, doubly and triply periodic electrostatic systems. Zbl 1382.78022 Tornberg, Anna-Karin 9 2016 An integral equation-based numerical method for the forced heat equation on complex domains. Zbl 1452.65272 Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin 8 2020 Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow. Zbl 1452.76062 Pålsson, Sara; Siegel, Michael; Tornberg, Anna-Karin 7 2019 Consistent boundary conditions for the Yee scheme. Zbl 1154.65354 Tornberg, Anna-Karin; Engquist, Björn 6 2008 A highly accurate boundary treatment for confined Stokes flow. Zbl 1365.76181 Marin, Oana; Gustavsson, Katarina; Tornberg, Anna-Karin 5 2012 An explicit Eulerian method for multiphase flow with contact line dynamics and insoluble surfactant. Zbl 1391.76505 af Klinteberg, Ludvig; Lindbo, Dag; Tornberg, Anna-Karin 5 2014 The spectral Ewald method for singly periodic domains. Zbl 1380.78004 Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin 4 2017 A 3D boundary integral method for the electrohydrodynamics of surfactant-covered drops. Zbl 1452.76058 Sorgentone, Chiara; Tornberg, Anna-Karin; Vlahovska, Petia M. 4 2019 Quadrature error estimates for layer potentials evaluated near curved surfaces in three dimensions. Zbl 1524.65101 af Klinteberg, Ludvig; Sorgentone, Chiara; Tornberg, Anna-Karin 4 2022 Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084 Tornberg, Anna-Karin; Engquist, Björn 3 2006 A new type of boundary treatment for wave propagation. Zbl 1106.65078 Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P. 3 2006 An accurate integral equation method for Stokes flow with piecewise smooth boundaries. Zbl 1461.65262 Bystricky, Lukas; Pålsson, Sara; Tornberg, Anna-Karin 3 2021 An adaptive kernel-split quadrature method for parameter-dependent layer potentials. Zbl 1483.65038 Fryklund, Fredrik; af Klinteberg, Ludvig; Tornberg, Anna-Karin 2 2022 Fast Ewald summation for Green’s functions of Stokes flow in a half-space. Zbl 1458.76029 Srinivasan, Shriram; Tornberg, Anna-Karin 2 2018 A fluid particle motion simulation method. Zbl 0920.76051 Tornberg, Anna-Karin; Metcalfe, Ralph W.; Scott, Ridgway; Bagheri, Babak 1 1997 Regularization techniques for singular source terms in differential equations. Zbl 1079.65110 Tornberg, Anna-Karin 1 2005 Numerical simulations of the dynamics of fiber suspensions. Zbl 1134.76732 Tornberg, Anna-Karin 1 2005 A finite element based level-set method for multiphase flows. Zbl 1078.76560 Engquist, Björn; Tornberg, Anna-Karin 1 2002 Parabolic velocity profile causes shape-selective drift of inertial ellipsoids. Zbl 1490.76218 Bagge, J.; Rosén, T.; Lundell, F.; Tornberg, A.-K. 1 2021 A locally corrected multiblob method with hydrodynamically matched grids for the Stokes mobility problem. Zbl 07690235 Broms, Anna; Sandberg, Mattias; Tornberg, Anna-Karin 1 2023 A locally corrected multiblob method with hydrodynamically matched grids for the Stokes mobility problem. Zbl 07690235 Broms, Anna; Sandberg, Mattias; Tornberg, Anna-Karin 1 2023 Quadrature error estimates for layer potentials evaluated near curved surfaces in three dimensions. Zbl 1524.65101 af Klinteberg, Ludvig; Sorgentone, Chiara; Tornberg, Anna-Karin 4 2022 An adaptive kernel-split quadrature method for parameter-dependent layer potentials. Zbl 1483.65038 Fryklund, Fredrik; af Klinteberg, Ludvig; Tornberg, Anna-Karin 2 2022 An accurate integral equation method for Stokes flow with piecewise smooth boundaries. Zbl 1461.65262 Bystricky, Lukas; Pålsson, Sara; Tornberg, Anna-Karin 3 2021 Parabolic velocity profile causes shape-selective drift of inertial ellipsoids. Zbl 1490.76218 Bagge, J.; Rosén, T.; Lundell, F.; Tornberg, A.-K. 1 2021 An integral equation-based numerical method for the forced heat equation on complex domains. Zbl 1452.65272 Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin 8 2020 Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow. Zbl 1452.76062 Pålsson, Sara; Siegel, Michael; Tornberg, Anna-Karin 7 2019 A 3D boundary integral method for the electrohydrodynamics of surfactant-covered drops. Zbl 1452.76058 Sorgentone, Chiara; Tornberg, Anna-Karin; Vlahovska, Petia M. 4 2019 A highly accurate boundary integral equation method for surfactant-laden drops in 3D. Zbl 1391.76456 Sorgentone, Chiara; Tornberg, Anna-Karin 20 2018 Adaptive quadrature by expansion for layer potential evaluation in two dimensions. Zbl 1446.65204 af Klinteberg, Ludvig; Tornberg, Anna-Karin 18 2018 Partition of unity extension of functions on complex domains. Zbl 1416.65475 Fryklund, Fredrik; Lehto, Erik; Tornberg, Anna-Karin 15 2018 A local target specific quadrature by expansion method for evaluation of layer potentials in 3D. Zbl 1398.65356 Siegel, Michael; Tornberg, Anna-Karin 14 2018 Fast Ewald summation for Green’s functions of Stokes flow in a half-space. Zbl 1458.76029 Srinivasan, Shriram; Tornberg, Anna-Karin 2 2018 Error estimation for quadrature by expansion in layer potential evaluation. Zbl 1367.65154 af Klinteberg, Ludvig; Tornberg, Anna-Karin 24 2017 Fast Ewald summation for free-space Stokes potentials. Zbl 1360.65295 af Klinteberg, Ludvig; Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin 19 2017 The spectral Ewald method for singly periodic domains. Zbl 1380.78004 Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin 4 2017 A fast integral equation method for solid particles in viscous flow using quadrature by expansion. Zbl 1373.76037 af Klinteberg, Ludvig; Tornberg, Anna-Karin 31 2016 The Ewald sums for singly, doubly and triply periodic electrostatic systems. Zbl 1382.78022 Tornberg, Anna-Karin 9 2016 An accurate integral equation method for simulating multi-phase Stokes flow. Zbl 1349.76635 Ojala, Rikard; Tornberg, Anna-Karin 20 2015 An embedded boundary method for soluble surfactants with interface tracking for two-phase flows. Zbl 1349.76059 Khatri, Shilpa; Tornberg, Anna-Karin 22 2014 Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115 Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin 16 2014 An explicit Eulerian method for multiphase flow with contact line dynamics and insoluble surfactant. Zbl 1391.76505 af Klinteberg, Ludvig; Lindbo, Dag; Tornberg, Anna-Karin 5 2014 On diffuse interface modeling and simulation of surfactants in two-phase fluid flow. Zbl 1373.76334 Engblom, Stefan; Do-Quang, Minh; Amberg, Gustav; Tornberg, Anna-Karin 27 2013 A highly accurate boundary treatment for confined Stokes flow. Zbl 1365.76181 Marin, Oana; Gustavsson, Katarina; Tornberg, Anna-Karin 5 2012 A numerical method for two phase flows with insoluble surfactants. Zbl 1271.76209 Khatri, Shilpa; Tornberg, Anna-Karin 26 2011 Spectral accuracy in fast Ewald-based methods for particle simulations. Zbl 1241.78008 Lindbo, Dag; Tornberg, Anna-Karin 25 2011 Spectrally accurate fast summation for periodic Stokes potentials. Zbl 1282.76151 Lindbo, Dag; Tornberg, Anna-Karin 34 2010 Delta function approximations in level set methods by distance function extension. Zbl 1186.65018 Zahedi, Sara; Tornberg, Anna-Karin 29 2010 Modeling simple locomotors in Stokes flow. Zbl 1329.76072 Kanevsky, Alex; Shelley, Michael J.; Tornberg, Anna-Karin 10 2010 Gravity induced sedimentation of slender fibers. Zbl 1183.76230 Gustavsson, K.; Tornberg, A.-K. 9 2009 A fast multipole method for the three-dimensional Stokes equations. Zbl 1290.76116 Tornberg, Anna-Karin; Greengard, Leslie 37 2008 Consistent boundary conditions for the Yee scheme. Zbl 1154.65354 Tornberg, Anna-Karin; Engquist, Björn 6 2008 A numerical method for simulations of rigid fiber suspensions. Zbl 1140.76486 Tornberg, Anna-Karin; Gustavsson, Katarina 23 2006 Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084 Tornberg, Anna-Karin; Engquist, Björn 3 2006 A new type of boundary treatment for wave propagation. Zbl 1106.65078 Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P. 3 2006 Discretization of Dirac delta functions in level set methods. Zbl 1074.65025 Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard 92 2005 Regularization techniques for singular source terms in differential equations. Zbl 1079.65110 Tornberg, Anna-Karin 1 2005 Numerical simulations of the dynamics of fiber suspensions. Zbl 1134.76732 Tornberg, Anna-Karin 1 2005 Numerical approximations of singular source terms in differential equations. Zbl 1115.76392 Tornberg, Anna-Karin; Engquist, Björn 132 2004 Simulating the dynamics and interactions of flexible fibers in Stokes flows. Zbl 1115.76413 Tornberg, Anna-Karin; Shelley, Michael J. 77 2004 Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085 Tornberg, Anna-Karin; Engquist, Björn 54 2003 The segment projection method for interface tracking. Zbl 1205.76205 Tornberg, Anna-Karin; Engquist, Björn 19 2003 High-frequency wave propagation by the segment projection method. Zbl 0996.78001 Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin 31 2002 Multi-dimensional quadrature of singular and discontinuous functions. Zbl 1021.65010 Tornberg, Anna-Karin 26 2002 A finite element based level-set method for multiphase flows. Zbl 1078.76560 Engquist, Björn; Tornberg, Anna-Karin 1 2002 A finite element based level-set method for multiphase flow applications. Zbl 1060.76578 Tornberg, Anna-Karin; Engquist, Björn 40 2000 Interface tracking in multiphase flows. Zbl 0987.76056 Tornberg, A.-K.; Engquist, B. 18 2000 A fluid particle motion simulation method. Zbl 0920.76051 Tornberg, Anna-Karin; Metcalfe, Ralph W.; Scott, Ridgway; Bagheri, Babak 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 1,046 Authors 37 Tornberg, Anna-Karin 14 Veerapaneni, Shravan Kumar 13 Tsai, Yen-Hsi Richard 11 Lai, Mingchih 10 af Klinteberg, Ludvig 10 Jin, Shi 9 Greengard, Leslie F. 9 Zorin, Denis N. 8 Engquist, Bjorn E. 8 Liu, Hailiang 8 Rahimian, Abtin 8 Wei, Guowei 7 Barnett, Alex H. 7 Osher, Stanley Joel 7 Reusken, Arnold 7 Runborg, Olof 7 Zahedi, Sara 6 Kim, Junseok 6 Lowengrub, John Samuel 6 Mori, Yoichiro 6 Rachh, Manas 6 Shelley, Michael J. 6 Sorgentone, Chiara 6 Tlupova, Svetlana 6 Towers, John D. 5 Beale, J. Thomas 5 Benvenuti, Elena 5 Biros, George 5 Cheng, Li-Tien 5 Fryklund, Fredrik 5 Gaffney, Eamonn A. 5 Gibou, Frédéric 5 Gustavsson, Katarina 5 Keaveny, Eric E. 5 Kou, Jisheng 5 Siegel, Michael 5 Wang, Zhongming 5 Wen, Xin 5 Wu, Bowei 4 Berrone, Stefano 4 Brandt, Luca 4 Colonius, Tim 4 Corona, Eduardo 4 Cortez, Ricardo 4 Delmotte, Blaise 4 Fedkiw, Ronald P. 4 Grappein, Denise 4 Groß, Sven 4 Jiang, Shidong 4 Khatri, Shilpa 4 Klöckner, Andreas 4 Kreiss, Gunilla 4 Layton, Anita T. 4 Li, Zhilin 4 Ohm, Laurel 4 Olshanskii, Maxim A. 4 O’Neil, Michael 4 Peskin, Charles S. 4 Qian, Jianliang 4 Scialò, Stefano 4 Stockie, John M. 4 Sun, Shuyu 4 Xia, Kelin 4 Yan, Wen 4 Yao, Jun 4 Ying, Wenjun 4 Zhang, Zhen 4 Zhao, Shan 4 Zhu, Guangpu 3 Adams, Nikolaus A. 3 Alekseev, Aleksey K. 3 Ambrose, David M. 3 Anand, Akash 3 Bodony, Daniel J. 3 Carvalho, Camille 3 Chern, I-Liang 3 Collin, Annabelle 3 Crowdy, Darren Gregory 3 Du, Qiang 3 Fikl, Alexandru 3 Garcke, Harald 3 Gosse, Laurent 3 Griffith, Boyce E. 3 Hsu, Shih-Hsuan 3 Huang, Jingfang 3 Jacobs, Gustaaf B. 3 Jung, Jae-Hun 3 Kees, Christopher E. 3 Kim, Arnold D. 3 Kropinski, Mary Catherine A. 3 Kublik, Catherine M. 3 Kuzmin, Dmitri 3 Leiderman, Karin M. 3 Leung, Shingyu 3 Li, Aifen 3 Lindbo, Dag 3 Marchandise, Emilie 3 Martinsson, Per-Gunnar 3 Maxian, Ondrej 3 Min, Chohong ...and 946 more Authors all top 5 Cited in 102 Serials 237 Journal of Computational Physics 46 Journal of Fluid Mechanics 27 Computer Methods in Applied Mechanics and Engineering 24 SIAM Journal on Scientific Computing 21 Computers and Fluids 20 Journal of Scientific Computing 17 Computers & Mathematics with Applications 13 Advances in Computational Mathematics 10 BIT 9 Journal of Computational and Applied Mathematics 9 Communications in Computational Physics 8 International Journal for Numerical Methods in Engineering 8 Physics of Fluids 7 Numerische Mathematik 5 Computer Physics Communications 5 International Journal for Numerical Methods in Fluids 5 Applied Numerical Mathematics 5 Computational Mechanics 5 Numerical Algorithms 5 Multiscale Modeling & Simulation 5 Research in the Mathematical Sciences 4 Wave Motion 4 Mathematics of Computation 4 SIAM Journal on Numerical Analysis 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Engineering Analysis with Boundary Elements 4 Advances in Applied Mathematics and Mechanics 3 Journal of Engineering Mathematics 3 SIAM Journal on Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Applied Mathematics and Computational Science 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Physica D 2 Applied Mathematical Modelling 2 Continuum Mechanics and Thermodynamics 2 Communications in Numerical Methods in Engineering 2 Mathematical Problems in Engineering 2 Computing and Visualization in Science 2 Interfaces and Free Boundaries 2 Archives of Computational Methods in Engineering 2 Numerical Mathematics: Theory, Methods and Applications 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Fluid Dynamics 1 General Relativity and Gravitation 1 International Journal of Solids and Structures 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physica A 1 Bulletin of Mathematical Biology 1 Theoretical and Computational Fluid Dynamics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Elasticity 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Experimental Mathematics 1 Applied and Computational Harmonic Analysis 1 Computational and Applied Mathematics 1 The Journal of Fourier Analysis and Applications 1 Journal of Mathematical Chemistry 1 International Journal of Computational Fluid Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 Computational Geosciences 1 Far East Journal of Mathematical Sciences 1 Lobachevskii Journal of Mathematics 1 International Journal of Modern Physics C 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Hyperbolic Differential Equations 1 International Journal of Numerical Analysis and Modeling 1 Journal of Shanghai Jiaotong University (Science) 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Theoretical Physics 1 Advances in Differential Equations and Control Processes 1 Algorithms 1 Advances in Mathematical Physics 1 Communications in Mathematical Research 1 International Journal for Numerical Methods in Biomedical Engineering 1 GEM - International Journal on Geomathematics 1 Journal of Mathematics in Industry 1 Communications in Mathematics and Statistics 1 Advances in Nonlinear Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Electronic Research Archive ...and 2 more Serials all top 5 Cited in 34 Fields 370 Numerical analysis (65-XX) 351 Fluid mechanics (76-XX) 165 Partial differential equations (35-XX) 80 Mechanics of deformable solids (74-XX) 40 Biology and other natural sciences (92-XX) 31 Optics, electromagnetic theory (78-XX) 19 Approximations and expansions (41-XX) 14 Integral equations (45-XX) 13 Geophysics (86-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Quantum theory (81-XX) 9 Functional analysis (46-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Ordinary differential equations (34-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Potential theory (31-XX) 6 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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