Edit Profile (opens in new tab) Runborg, Olof Co-Author Distance Author ID: runborg.olof Published as: Runborg, Olof; Runborg, O. External Links: MGP Documents Indexed: 64 Publications since 1993, including 8 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 47 Co-Authors with 60 Joint Publications 1,870 Co-Co-Authors all top 5 Co-Authors 7 single-authored 15 Engquist, Bjorn E. 7 Motamed, Mohammad 6 Tsai, Yen-Hsi Richard 4 Izzo, Federico 4 Leitenmaier, Lena 3 Arjmand, Doghonay 3 Garcia, Fortino 3 Gosse, Laurent 3 Holst, Henrik 3 Kevrekidis, Ioannis George 3 Liu, Hailiang 3 Malenová, Gabriela 3 Tanushev, Nicolay M. 2 Daubechies, Ingrid Chantal 2 Häggblad, Jon 2 Kevrekidis, Panayotis G. 2 Lötstedt, Per 2 Popović, Jelena 2 Theodoropoulos, Constantinos 2 Tornberg, Anna-Karin 2 Zhong, Yimin 1 Andersson, Ulf 1 Arlinger, Bert G. 1 Benamou, Jean-David 1 Castella, François 1 Collino, Francis 1 Gear, Charles William 1 Hyman, James M. 1 Jarlebring, Elias 1 Kieri, Emil 1 Kreiss, Gunilla 1 Lafitte, Olivier D. 1 Ledfelt, Gunnar 1 Lehtimäki, Reijo 1 Loya, Allen Alvarez 1 Marin, Oana 1 Mele, Giampaolo 1 Mineau, Pascal 1 Oppelstrup, Jesper 1 Persson, Per-Olof 1 Perthame, Benoît 1 Ralston, James V. 1 Ren, Kui 1 Sweldens, Wim 1 Tempone, Raúl F. 1 Weinerfelt, Per Å. 1 Zou, Jing all top 5 Serials 7 Journal of Computational Physics 7 Communications in Mathematical Sciences 3 Multiscale Modeling & Simulation 3 Lecture Notes in Computational Science and Engineering 2 BIT 2 Numerische Mathematik 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Nonlinearity 1 Wave Motion 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Constructive Approximation 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Communications in Partial Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied and Computational Harmonic Analysis 1 Advances in Computational Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Numerica 1 Communications in Computational Physics 1 Advances in Applied Mathematics and Mechanics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences all top 5 Fields 53 Numerical analysis (65-XX) 37 Partial differential equations (35-XX) 22 Optics, electromagnetic theory (78-XX) 5 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 771 times in 554 Documents Cited by ▼ Year ▼ Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066 Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos 194 2003 Computational high frequency wave propagation. Zbl 1049.65098 Engquist, Björn; Runborg, Olof 93 2003 Multi-phase computations in geometrical optics. Zbl 0947.78001 Engquist, Björn; Runborg, Olof 51 1996 High-frequency wave propagation by the segment projection method. Zbl 0996.78001 Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin 31 2002 Normal multiresolution approximation of curves. Zbl 1051.42025 Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim 30 2004 Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110 Engquist, Björn; Holst, Henrik; Runborg, Olof 27 2011 Error estimates for Gaussian beam superpositions. Zbl 1277.35236 Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. 26 2013 Some new results in multiphase geometrical optics. Zbl 0972.78001 Runborg, Olof 25 2000 Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300 Runborg, Olof 25 2007 Taylor expansion and discretization errors in Gaussian beam superposition. Zbl 1231.78006 Motamed, Mohammad; Runborg, Olof 22 2010 Wavelet-based numerical homogenization with applications. Zbl 0989.65117 Engquist, Björn; Runborg, Olof 19 2002 Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149 Engquist, Björn; Holst, Henrik; Runborg, Olof 19 2012 Effective bifurcation analysis: a time-stepper-based approach. Zbl 1005.37055 Runborg, Olof; Theodoropoulos, Constantinos; Kevrekidis, Ioannis G. 17 2002 Analysis of heterogeneous multiscale methods for long time wave propagation problems. Zbl 1315.65083 Arjmand, Doghonay; Runborg, Olof 17 2014 Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115 Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin 16 2014 A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113 Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof 13 1999 A time dependent approach for removing the cell boundary error in elliptic homogenization problems. Zbl 1349.65689 Arjmand, Doghonay; Runborg, Olof 13 2016 Equation-free, effective computation for discrete systems: a time stepper based approach. Zbl 1140.93422 Möller, J.; Runborg, O.; Kevrekidis, P. G.; Lust, K.; Kevrekidis, I. G. 12 2005 The waveguide eigenvalue problem and the tensor infinite Arnoldi method. Zbl 1366.65104 Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof 12 2017 High frequency limit of the Helmholtz equation. II: Source on a general smooth manifold. Zbl 1290.35262 Castella, F.; Perthame, B.; Runborg, O. 11 2002 Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017 Benamou, Jean-David; Collino, Francis; Runborg, Olof 8 2004 A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099 Daubechies, Ingrid; Runborg, Olof; Zou, Jing 7 2007 WaveHoltz: iterative solution of the Helmholtz equation via the wave equation. Zbl 1453.65396 Appelö, Daniel; Garcia, Fortino; Runborg, Olof 7 2020 Gaussian beam methods for the Helmholtz equation. Zbl 1302.35135 Liu, Hailiang; Ralston, James; Runborg, Olof; Tanushev, Nicolay M. 5 2014 Multiphase computations in geometrical optics. Zbl 0963.78004 Engquist, Björn; Runborg, Olof 4 1999 Approximation of high frequency wave propagation problems. Zbl 1179.78113 Motamed, Mohammad; Runborg, Olof 4 2009 Resolution of the finite Markov moment problem. Zbl 1081.65121 Gosse, Laurent; Runborg, Olof 4 2005 Finite moment problems and applications to multiphase computations in geometric optics. Zbl 1100.78006 Gosse, Laurent; Runborg, Olof 4 2005 Existence, uniqueness, and a constructive solution algorithm for a class of finite Markov moment problems. Zbl 1158.65010 Gosse, Laurent; Runborg, Olof 4 2008 Sobolev and max norm error estimates for Gaussian beam superpositions. Zbl 1372.35263 Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. 4 2016 Fast interface tracking via a multiresolution representation of curves and surfaces. Zbl 1181.65025 Runborg, Olof 4 2009 On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient. Zbl 1503.35022 Leitenmaier, Lena; Runborg, Olof 4 2022 A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems. Zbl 1133.65089 Motamed, Mohammad; Runborg, Olof 3 2007 Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension. Zbl 1260.65067 Popovic, Jelena; Runborg, Olof 3 2011 Analysis of high order fast interface tracking methods. Zbl 1305.65176 Runborg, Olof 3 2014 Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Zbl 1155.65003 3 2009 A wavefront-based Gaussian beam method for computing high frequency wave propagation problems. Zbl 1443.65302 Motamed, Mohammad; Runborg, Olof 3 2015 Upscaling errors in heterogeneous multiscale methods for the Landau-Lifshitz equation. Zbl 1482.65168 Leitenmaier, Lena; Runborg, Olof 3 2022 Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Zbl 1229.65003 2 2012 Simulation of a waveguide filter using wavelet-based numerical homogenization. Zbl 1040.78019 Persson, Per-Olof; Runborg, Olof 2 2001 Introduction to normal multiresolution approximation. Zbl 1105.65358 Runborg, Olof 2 2005 A fast phase space method for computing creeping rays. Zbl 1111.78013 Motamed, Mohammad; Runborg, Olof 2 2006 A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. Zbl 1362.35344 Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R. 2 2016 On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021 Engquist, B.; Häggblad, J.; Runborg, O. 2 2012 Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500 1 2005 Wavelets and wavelet based numerical homogenization. Zbl 1159.65373 Runborg, Olof 1 2009 Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108 Malenová, G.; Motamed, M.; Runborg, O. 1 2017 Projection generated homogenization. Zbl 1015.35012 Engquist, Björn; Runborg, Olof 1 2002 Accuracy of staircase approximations in finite-difference methods for wave propagation. Zbl 1318.65050 Häggblad, Jon; Runborg, Olof 1 2014 Corrected trapezoidal rules for singular implicit boundary integrals. Zbl 07525171 Izzo, Federico; Runborg, Olof; Tsai, Richard 1 2022 Heterogeneous multiscale methods for the Landau-Lifshitz equation. Zbl 1503.65175 Leitenmaier, Lena; Runborg, Olof 1 2022 Coupling of Gaussian beam and finite difference solvers for semiclassical Schrödinger equations. Zbl 1488.35459 Kieri, Emil; Kreiss, Gunilla; Runborg, Olof 1 2015 Adaptive fast interface tracking methods. Zbl 1415.65162 Popovic, Jelena; Runborg, Olof 1 2017 On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient. Zbl 1503.35022 Leitenmaier, Lena; Runborg, Olof 4 2022 Upscaling errors in heterogeneous multiscale methods for the Landau-Lifshitz equation. Zbl 1482.65168 Leitenmaier, Lena; Runborg, Olof 3 2022 Corrected trapezoidal rules for singular implicit boundary integrals. Zbl 07525171 Izzo, Federico; Runborg, Olof; Tsai, Richard 1 2022 Heterogeneous multiscale methods for the Landau-Lifshitz equation. Zbl 1503.65175 Leitenmaier, Lena; Runborg, Olof 1 2022 WaveHoltz: iterative solution of the Helmholtz equation via the wave equation. Zbl 1453.65396 Appelö, Daniel; Garcia, Fortino; Runborg, Olof 7 2020 The waveguide eigenvalue problem and the tensor infinite Arnoldi method. Zbl 1366.65104 Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof 12 2017 Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108 Malenová, G.; Motamed, M.; Runborg, O. 1 2017 Adaptive fast interface tracking methods. Zbl 1415.65162 Popovic, Jelena; Runborg, Olof 1 2017 A time dependent approach for removing the cell boundary error in elliptic homogenization problems. Zbl 1349.65689 Arjmand, Doghonay; Runborg, Olof 13 2016 Sobolev and max norm error estimates for Gaussian beam superpositions. Zbl 1372.35263 Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. 4 2016 A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. Zbl 1362.35344 Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R. 2 2016 A wavefront-based Gaussian beam method for computing high frequency wave propagation problems. Zbl 1443.65302 Motamed, Mohammad; Runborg, Olof 3 2015 Coupling of Gaussian beam and finite difference solvers for semiclassical Schrödinger equations. Zbl 1488.35459 Kieri, Emil; Kreiss, Gunilla; Runborg, Olof 1 2015 Analysis of heterogeneous multiscale methods for long time wave propagation problems. Zbl 1315.65083 Arjmand, Doghonay; Runborg, Olof 17 2014 Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115 Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin 16 2014 Gaussian beam methods for the Helmholtz equation. Zbl 1302.35135 Liu, Hailiang; Ralston, James; Runborg, Olof; Tanushev, Nicolay M. 5 2014 Analysis of high order fast interface tracking methods. Zbl 1305.65176 Runborg, Olof 3 2014 Accuracy of staircase approximations in finite-difference methods for wave propagation. Zbl 1318.65050 Häggblad, Jon; Runborg, Olof 1 2014 Error estimates for Gaussian beam superpositions. Zbl 1277.35236 Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. 26 2013 Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149 Engquist, Björn; Holst, Henrik; Runborg, Olof 19 2012 Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Zbl 1229.65003 2 2012 On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021 Engquist, B.; Häggblad, J.; Runborg, O. 2 2012 Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110 Engquist, Björn; Holst, Henrik; Runborg, Olof 27 2011 Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension. Zbl 1260.65067 Popovic, Jelena; Runborg, Olof 3 2011 Taylor expansion and discretization errors in Gaussian beam superposition. Zbl 1231.78006 Motamed, Mohammad; Runborg, Olof 22 2010 Approximation of high frequency wave propagation problems. Zbl 1179.78113 Motamed, Mohammad; Runborg, Olof 4 2009 Fast interface tracking via a multiresolution representation of curves and surfaces. Zbl 1181.65025 Runborg, Olof 4 2009 Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Zbl 1155.65003 3 2009 Wavelets and wavelet based numerical homogenization. Zbl 1159.65373 Runborg, Olof 1 2009 Existence, uniqueness, and a constructive solution algorithm for a class of finite Markov moment problems. Zbl 1158.65010 Gosse, Laurent; Runborg, Olof 4 2008 Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300 Runborg, Olof 25 2007 A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099 Daubechies, Ingrid; Runborg, Olof; Zou, Jing 7 2007 A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems. Zbl 1133.65089 Motamed, Mohammad; Runborg, Olof 3 2007 A fast phase space method for computing creeping rays. Zbl 1111.78013 Motamed, Mohammad; Runborg, Olof 2 2006 Equation-free, effective computation for discrete systems: a time stepper based approach. Zbl 1140.93422 Möller, J.; Runborg, O.; Kevrekidis, P. G.; Lust, K.; Kevrekidis, I. G. 12 2005 Resolution of the finite Markov moment problem. Zbl 1081.65121 Gosse, Laurent; Runborg, Olof 4 2005 Finite moment problems and applications to multiphase computations in geometric optics. Zbl 1100.78006 Gosse, Laurent; Runborg, Olof 4 2005 Introduction to normal multiresolution approximation. Zbl 1105.65358 Runborg, Olof 2 2005 Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500 1 2005 Normal multiresolution approximation of curves. Zbl 1051.42025 Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim 30 2004 Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017 Benamou, Jean-David; Collino, Francis; Runborg, Olof 8 2004 Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066 Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos 194 2003 Computational high frequency wave propagation. Zbl 1049.65098 Engquist, Björn; Runborg, Olof 93 2003 High-frequency wave propagation by the segment projection method. Zbl 0996.78001 Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin 31 2002 Wavelet-based numerical homogenization with applications. Zbl 0989.65117 Engquist, Björn; Runborg, Olof 19 2002 Effective bifurcation analysis: a time-stepper-based approach. Zbl 1005.37055 Runborg, Olof; Theodoropoulos, Constantinos; Kevrekidis, Ioannis G. 17 2002 High frequency limit of the Helmholtz equation. II: Source on a general smooth manifold. Zbl 1290.35262 Castella, F.; Perthame, B.; Runborg, O. 11 2002 Projection generated homogenization. Zbl 1015.35012 Engquist, Björn; Runborg, Olof 1 2002 Simulation of a waveguide filter using wavelet-based numerical homogenization. Zbl 1040.78019 Persson, Per-Olof; Runborg, Olof 2 2001 Some new results in multiphase geometrical optics. Zbl 0972.78001 Runborg, Olof 25 2000 A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113 Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof 13 1999 Multiphase computations in geometrical optics. Zbl 0963.78004 Engquist, Björn; Runborg, Olof 4 1999 Multi-phase computations in geometrical optics. Zbl 0947.78001 Engquist, Björn; Runborg, Olof 51 1996 all cited Publications top 5 cited Publications all top 5 Cited by 825 Authors 40 Kevrekidis, Ioannis George 25 Runborg, Olof 17 Jin, Shi 17 Qian, Jianliang 15 Abdulle, Assyr 13 Amat Plata, Sergio 13 Engquist, Bjorn E. 13 Luo, Songting 13 Samaey, Giovanni 13 Siettos, Constantinos I. 12 Tsai, Yen-Hsi Richard 11 Chung, Tsz Shun Eric 11 Liandrat, Jacques 11 Liu, Hailiang 10 Yang, Xu 9 Arjmand, Doghonay 9 Kutz, J. Nathan 9 Roberts, Anthony John 8 Gosse, Laurent 8 Osher, Stanley Joel 7 Benamou, Jean-David 7 Gear, Charles William 7 Jarlebring, Elias 7 Ying, Lexing 6 Brunton, Steven L. 6 Chappell, David J. 6 Efendiev, Yalchin R. 6 Roose, Dirk 5 Dadourian, Karine 5 Dehghan Takht Fooladi, Mehdi 5 Erban, Radek 5 Fox, Rodney O. 5 Karniadakis, George Em 5 Kavousanakis, Michail E. 5 Laing, Carlo R. 5 Motamed, Mohammad 5 Russo, Lucia 5 Salehi, Rezvan 5 Tanner, Gregor K. 5 Trillo, Juan Carlos 5 Wu, Hao 5 Xiu, Dongbin 4 Boudouvis, Andreas G. 4 Burridge, Robert 4 Cheng, Li-Tien 4 E, Weinan 4 Fu, Shubin 4 Gao, Yijin 4 Grote, Marcus J. 4 Henning, Patrick 4 Koutsourelakis, Phaedon-Stelios 4 Kreiss, Gunilla 4 Lasser, Caroline 4 Lelièvre, Tony 4 Leung, Shingyu 4 Mayfield, Jay P. 4 Mele, Giampaolo 4 Pouchon, Timothée 4 Tadmor, Eitan 4 Tanushev, Nicolay M. 4 Vandekerckhove, Christophe 4 Wang, Zhongming 4 Wen, Xin 4 Wu, Haijun 4 Zhang, Yanyan 4 Zhang, Zhiwen 4 Zhou, Zhennan 4 Zielinski, Przemyslaw 3 Acharya, Amit 3 Anand, Akash 3 Ariel, Gil 3 Bajars, Janis 3 Bréhier, Charles-Edouard 3 Castella, François 3 Chen, Jing 3 Cockburn, Bernardo 3 Deng, Weibing 3 Gottwald, Georg A. 3 Gravemeier, Volker 3 Grohs, Philipp 3 Hoang, Viet Ha 3 Hou, Thomas Yizhao 3 Huang, Zhongyi 3 Lafitte, Olivier D. 3 Leitenmaier, Lena 3 Leung, Wingtat 3 Li, Xiantao 3 Lu, Jianfeng 3 Lukáčová-Medviďová, Mária 3 Ma, Dingjiong 3 Maclean, John 3 Martinsson, Per-Gunnar 3 Melis, Ward 3 Owhadi, Houman 3 Paganoni, Edoardo 3 Proctor, Joshua L. 3 Rajendran, Karthikeyan 3 Reitich, Fernando 3 Tornberg, Anna-Karin 3 Vandecasteele, Hannes S. ...and 725 more Authors all top 5 Cited in 134 Serials 131 Journal of Computational Physics 29 Multiscale Modeling & Simulation 22 Journal of Scientific Computing 20 Computer Methods in Applied Mechanics and Engineering 18 Journal of Computational and Applied Mathematics 17 SIAM Journal on Scientific Computing 10 Numerical Algorithms 10 Advances in Computational Mathematics 9 Physica D 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 SIAM Journal on Applied Dynamical Systems 8 Computers & Mathematics with Applications 8 Mathematics of Computation 8 Numerische Mathematik 8 Applied Numerical Mathematics 7 Wave Motion 7 Applied Mathematics and Computation 7 SIAM Journal on Numerical Analysis 7 Applied and Computational Harmonic Analysis 6 Acta Numerica 6 Journal of Computational Dynamics 5 Computers and Fluids 5 BIT 5 International Journal for Numerical Methods in Engineering 5 Foundations of Computational Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computer Physics Communications 4 Journal of Mathematical Biology 4 Journal of Differential Equations 4 Applied Mathematical Modelling 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications on Pure and Applied Mathematics 3 Constructive Approximation 3 Computational Mechanics 3 Numerical Methods for Partial Differential Equations 3 SIAM Journal on Matrix Analysis and Applications 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Communications in Computational Physics 3 Journal of Theoretical Biology 3 SIAM/ASA Journal on Uncertainty Quantification 2 Biological Cybernetics 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Journal of Functional Analysis 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Review 2 Physics of Fluids 2 Chaos 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Combustion Theory and Modelling 2 International Journal of Numerical Analysis and Modeling 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Applied Mathematics and Mechanics 2 S\(\vec{\text{e}}\)MA Journal 2 Research in the Mathematical Sciences 2 SN Partial Differential Equations and Applications 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Molecular Simulation 1 Bulletin of Mathematical Biology 1 Automatica 1 Bulletin de la Société Mathématique de France 1 Calcolo 1 Journal of Approximation Theory 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 ACM Transactions on Graphics 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 International Journal of Robust and Nonlinear Control 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of Computational Neuroscience 1 Engineering Analysis with Boundary Elements 1 Journal of Mathematical Chemistry ...and 34 more Serials all top 5 Cited in 39 Fields 372 Numerical analysis (65-XX) 227 Partial differential equations (35-XX) 81 Fluid mechanics (76-XX) 65 Optics, electromagnetic theory (78-XX) 53 Dynamical systems and ergodic theory (37-XX) 49 Statistical mechanics, structure of matter (82-XX) 46 Mechanics of deformable solids (74-XX) 37 Biology and other natural sciences (92-XX) 35 Ordinary differential equations (34-XX) 35 Probability theory and stochastic processes (60-XX) 35 Quantum theory (81-XX) 30 Computer science (68-XX) 23 Approximations and expansions (41-XX) 16 Statistics (62-XX) 16 Systems theory; control (93-XX) 15 Information and communication theory, circuits (94-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Geophysics (86-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of particles and systems (70-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Operator theory (47-XX) 7 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Integral transforms, operational calculus (44-XX) 4 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year