Edit Profile Runborg, Olof Compute Distance To: Compute Author ID: runborg.olof Published as: Runborg, O.; Runborg, Olof External Links: MGP Documents Indexed: 51 Publications since 1993, including 3 Books all top 5 Co-Authors 7 single-authored 14 Engquist, Bjorn E. 7 Motamed, Mohammad 3 Gosse, Laurent 3 Kevrekidis, Ioannis George 3 Liu, Hailiang 3 Tanushev, Nicolay M. 2 Arjmand, Doghonay 2 Daubechies, Ingrid Chantal 2 Häggblad, Jon 2 Holst, Henrik 2 Kevrekidis, Panayotis G. 2 Lötstedt, Per 2 Malenová, Gabriela 2 Popović, Jelena 2 Theodoropoulos, Constantinos 2 Tornberg, Anna-Karin 1 Andersson, Ulf 1 Appelö, Daniel 1 Arlinger, Bert G. 1 Benamou, Jean-David 1 Castella, François 1 Collino, Francis 1 Garcia, Fortino 1 Hyman, James M. 1 Jarlebring, Elias 1 Ledfelt, Gunnar 1 Lehtimäki, Reijo 1 Lust, Kurt 1 Marin, Oana 1 Mele, Giampaolo 1 Mineau, Pascal 1 Møller, Jens Edlef 1 Oppelstrup, Jesper 1 Persson, Per-Olof 1 Perthame, Benoît 1 Ralston, James V. 1 Sweldens, Wim 1 Tempone, Raúl F. 1 Tsai, Yen-Hsi Richard 1 Weinerfelt, Per Å. 1 William Gear, C. 1 Zou, Jing all top 5 Serials 6 Journal of Computational Physics 6 Communications in Mathematical Sciences 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 2 Multiscale Modeling & Simulation 1 Computers & Mathematics with Applications 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 Communications in Partial Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied and Computational Harmonic Analysis 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 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences all top 5 Fields 41 Numerical analysis (65-XX) 31 Partial differential equations (35-XX) 18 Optics, electromagnetic theory (78-XX) 5 Ordinary differential equations (34-XX) 5 Fluid mechanics (76-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-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) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 45 Publications have been cited 595 times in 418 Documents Cited by ▼ Year ▼ Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos 146 2003 Computational high frequency wave propagation. Zbl 1049.65098Engquist, Björn; Runborg, Olof 70 2003 Multi-phase computations in geometrical optics. Zbl 0947.78001Engquist, Björn; Runborg, Olof 49 1996 High-frequency wave propagation by the segment projection method. Zbl 0996.78001Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin 30 2002 Normal multiresolution approximation of curves. Zbl 1051.42025Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim 28 2004 Some new results in multiphase geometrical optics. Zbl 0972.78001Runborg, Olof 24 2000 Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300Runborg, Olof 22 2007 Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110Engquist, Björn; Holst, Henrik; Runborg, Olof 20 2011 Taylor expansion and discretization errors in Gaussian beam superposition. Zbl 1231.78006Motamed, Mohammad; Runborg, Olof 19 2010 Error estimates for Gaussian beam superpositions. Zbl 1277.35236Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. 18 2013 Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149Engquist, Björn; Holst, Henrik; Runborg, Olof 16 2012 Effective bifurcation analysis: a time-stepper-based approach. Zbl 1005.37055Runborg, Olof; Theodoropoulos, Constantinos; Kevrekidis, Ioannis G. 16 2002 Wavelet-based numerical homogenization with applications. Zbl 0989.65117Engquist, Björn; Runborg, Olof 14 2002 Equation-free, effective computation for discrete systems: a time stepper based approach. Zbl 1140.93422Möller, J.; Runborg, O.; Kevrekidis, P. G.; Lust, K.; Kevrekidis, I. G. 11 2005 Analysis of heterogeneous multiscale methods for long time wave propagation problems. Zbl 1315.65083Arjmand, Doghonay; Runborg, Olof 10 2014 A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof 10 1999 High frequency limit of the Helmholtz equation. II: Source on a general smooth manifold. Zbl 1290.35262Castella, F.; Perthame, B.; Runborg, O. 9 2002 The waveguide eigenvalue problem and the tensor infinite Arnoldi method. Zbl 1366.65104Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof 7 2017 A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099Daubechies, Ingrid; Runborg, Olof; Zou, Jing 7 2007 Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017Benamou, Jean-David; Collino, Francis; Runborg, Olof 7 2004 A time dependent approach for removing the cell boundary error in elliptic homogenization problems. Zbl 1349.65689Arjmand, Doghonay; Runborg, Olof 6 2016 Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin 6 2014 Gaussian beam methods for the Helmholtz equation. Zbl 1302.35135Liu, Hailiang; Ralston, James; Runborg, Olof; Tanushev, Nicolay M. 4 2014 Approximation of high frequency wave propagation problems. Zbl 1179.78113Motamed, Mohammad; Runborg, Olof 4 2009 Fast interface tracking via a multiresolution representation of curves and surfaces. Zbl 1181.65025Runborg, Olof 4 2009 Finite moment problems and applications to multiphase computations in geometric optics. Zbl 1100.78006Gosse, Laurent; Runborg, Olof 4 2005 Multiphase computations in geometrical optics. Zbl 0963.78004Engquist, Björn; Runborg, Olof 4 1999 Analysis of high order fast interface tracking methods. Zbl 1305.65176Runborg, Olof 3 2014 Existence, uniqueness, and a constructive solution algorithm for a class of finite Markov moment problems. Zbl 1158.65010Gosse, Laurent; Runborg, Olof 3 2008 A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems. Zbl 1133.65089Motamed, Mohammad; Runborg, Olof 3 2007 A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. Zbl 1362.35344Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R. 2 2016 Sobolev and max norm error estimates for Gaussian beam superpositions. Zbl 1372.35263Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. 2 2016 On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021Engquist, B.; Häggblad, J.; Runborg, O. 2 2012 A fast phase space method for computing creeping rays. Zbl 1111.78013Motamed, Mohammad; Runborg, Olof 2 2006 Resolution of the finite Markov moment problem. Zbl 1081.65121Gosse, Laurent; Runborg, Olof 2 2005 Introduction to normal multiresolution approximation. Zbl 1105.65358Runborg, Olof 2 2005 Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108Malenová, G.; Motamed, M.; Runborg, O. 1 2017 Accuracy of staircase approximations in finite-difference methods for wave propagation. Zbl 1318.65050Häggblad, Jon; Runborg, Olof 1 2014 Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Zbl 1229.65003Engquist, Björn (ed.); Runborg, Olof (ed.); Tsai, Yen-Hsi R. (ed.) 1 2012 Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension. Zbl 1260.65067Popovic, Jelena; Runborg, Olof 1 2011 Wavelets and wavelet based numerical homogenization. Zbl 1159.65373Runborg, Olof 1 2009 Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Zbl 1155.65003Engquist, Björn (ed.); Lötstedt, Per (ed.); Runborg, Olof (ed.) 1 2009 Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500Engquist, Björn (ed.); Lötstedt, Per (ed.); Runborg, Olof (ed.) 1 2005 Projection generated homogenization. Zbl 1015.35012Engquist, Björn; Runborg, Olof 1 2002 Simulation of a waveguide filter using wavelet-based numerical homogenization. Zbl 1040.78019Persson, Per-Olof; Runborg, Olof 1 2001 The waveguide eigenvalue problem and the tensor infinite Arnoldi method. Zbl 1366.65104Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof 7 2017 Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108Malenová, G.; Motamed, M.; Runborg, O. 1 2017 A time dependent approach for removing the cell boundary error in elliptic homogenization problems. Zbl 1349.65689Arjmand, Doghonay; Runborg, Olof 6 2016 A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. Zbl 1362.35344Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R. 2 2016 Sobolev and max norm error estimates for Gaussian beam superpositions. Zbl 1372.35263Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. 2 2016 Analysis of heterogeneous multiscale methods for long time wave propagation problems. Zbl 1315.65083Arjmand, Doghonay; Runborg, Olof 10 2014 Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin 6 2014 Gaussian beam methods for the Helmholtz equation. Zbl 1302.35135Liu, Hailiang; Ralston, James; Runborg, Olof; Tanushev, Nicolay M. 4 2014 Analysis of high order fast interface tracking methods. Zbl 1305.65176Runborg, Olof 3 2014 Accuracy of staircase approximations in finite-difference methods for wave propagation. Zbl 1318.65050Häggblad, Jon; Runborg, Olof 1 2014 Error estimates for Gaussian beam superpositions. Zbl 1277.35236Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. 18 2013 Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149Engquist, Björn; Holst, Henrik; Runborg, Olof 16 2012 On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021Engquist, B.; Häggblad, J.; Runborg, O. 2 2012 Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Zbl 1229.65003Engquist, Björn (ed.); Runborg, Olof (ed.); Tsai, Yen-Hsi R. (ed.) 1 2012 Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110Engquist, Björn; Holst, Henrik; Runborg, Olof 20 2011 Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension. Zbl 1260.65067Popovic, Jelena; Runborg, Olof 1 2011 Taylor expansion and discretization errors in Gaussian beam superposition. Zbl 1231.78006Motamed, Mohammad; Runborg, Olof 19 2010 Approximation of high frequency wave propagation problems. Zbl 1179.78113Motamed, Mohammad; Runborg, Olof 4 2009 Fast interface tracking via a multiresolution representation of curves and surfaces. Zbl 1181.65025Runborg, Olof 4 2009 Wavelets and wavelet based numerical homogenization. Zbl 1159.65373Runborg, Olof 1 2009 Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Zbl 1155.65003Engquist, Björn (ed.); Lötstedt, Per (ed.); Runborg, Olof (ed.) 1 2009 Existence, uniqueness, and a constructive solution algorithm for a class of finite Markov moment problems. Zbl 1158.65010Gosse, Laurent; Runborg, Olof 3 2008 Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300Runborg, Olof 22 2007 A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099Daubechies, 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 1133.65089Motamed, Mohammad; Runborg, Olof 3 2007 A fast phase space method for computing creeping rays. Zbl 1111.78013Motamed, Mohammad; Runborg, Olof 2 2006 Equation-free, effective computation for discrete systems: a time stepper based approach. Zbl 1140.93422Möller, J.; Runborg, O.; Kevrekidis, P. G.; Lust, K.; Kevrekidis, I. G. 11 2005 Finite moment problems and applications to multiphase computations in geometric optics. Zbl 1100.78006Gosse, Laurent; Runborg, Olof 4 2005 Resolution of the finite Markov moment problem. Zbl 1081.65121Gosse, Laurent; Runborg, Olof 2 2005 Introduction to normal multiresolution approximation. Zbl 1105.65358Runborg, Olof 2 2005 Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500Engquist, Björn (ed.); Lötstedt, Per (ed.); Runborg, Olof (ed.) 1 2005 Normal multiresolution approximation of curves. Zbl 1051.42025Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim 28 2004 Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017Benamou, Jean-David; Collino, Francis; Runborg, Olof 7 2004 Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos 146 2003 Computational high frequency wave propagation. Zbl 1049.65098Engquist, Björn; Runborg, Olof 70 2003 High-frequency wave propagation by the segment projection method. Zbl 0996.78001Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin 30 2002 Effective bifurcation analysis: a time-stepper-based approach. Zbl 1005.37055Runborg, Olof; Theodoropoulos, Constantinos; Kevrekidis, Ioannis G. 16 2002 Wavelet-based numerical homogenization with applications. Zbl 0989.65117Engquist, Björn; Runborg, Olof 14 2002 High frequency limit of the Helmholtz equation. II: Source on a general smooth manifold. Zbl 1290.35262Castella, F.; Perthame, B.; Runborg, O. 9 2002 Projection generated homogenization. Zbl 1015.35012Engquist, Björn; Runborg, Olof 1 2002 Simulation of a waveguide filter using wavelet-based numerical homogenization. Zbl 1040.78019Persson, Per-Olof; Runborg, Olof 1 2001 Some new results in multiphase geometrical optics. Zbl 0972.78001Runborg, Olof 24 2000 A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof 10 1999 Multiphase computations in geometrical optics. Zbl 0963.78004Engquist, Björn; Runborg, Olof 4 1999 Multi-phase computations in geometrical optics. Zbl 0947.78001Engquist, Björn; Runborg, Olof 49 1996 all cited Publications top 5 cited Publications all top 5 Cited by 627 Authors 34 Kevrekidis, Ioannis George 16 Runborg, Olof 14 Jin, Shi 14 Qian, Jianliang 13 Abdulle, Assyr 12 Samaey, Giovanni 11 Amat, Sergio P. 11 Liu, Hailiang 10 Chung, Tsz Shun Eric 10 Liandrat, Jacques 10 Yang, Xu 9 Siettos, Constantinos I. 8 Benamou, Jean-David 8 Gosse, Laurent 8 Osher, Stanley Joel 7 Engquist, Bjorn E. 7 Tsai, Yen-Hsi Richard 6 Arjmand, Doghonay 6 Gear, Charles William 6 Kutz, J. Nathan 6 Luo, Songting 6 Roose, Dirk 6 Ying, Lexing 5 Brunton, Steven L. 5 Chappell, David J. 5 Dehghan Takht Fooladi, Mehdi 5 Efendiev, Yalchin R. 5 Erban, Radek 5 Fox, Rodney O. 5 Jarlebring, Elias 5 Kavousanakis, Michail E. 5 Laing, Carlo R. 5 Motamed, Mohammad 5 Salehi, Rezvan 5 Trillo, Juan Carlos 4 Boudouvis, Andreas G. 4 Cheng, Li-Tien 4 Dadourian, Karine 4 Karniadakis, George Em 4 Pouchon, Timothée 4 Tanner, Gregor K. 4 Vandekerckhove, Christophe 4 Wang, Zhongming 4 Wen, Xin 4 Xiu, Dongbin 4 Zhang, Zhiwen 4 Zielinski, Przemyslaw 3 Acharya, Amit 3 Bajars, Janis 3 Bunder, J. E. 3 Burridge, Robert 3 Castella, François 3 Cockburn, Bernardo 3 Deng, Weibing 3 E, Weinan 3 Fu, Shubin 3 Gottwald, Georg A. 3 Gravemeier, Volker 3 Grohs, Philipp 3 Grote, Marcus J. 3 Henning, Patrick 3 Hoang, Viet Ha 3 Kreiss, Gunilla 3 Lelièvre, Tony 3 Leung, Shingyu 3 Lu, Jianfeng 3 Ma, Dingjiong 3 Mele, Giampaolo 3 Melis, Ward 3 Owhadi, Houman 3 Pavliotis, Grigorios A. 3 Proctor, Joshua L. 3 Rajendran, Karthikeyan 3 Reitich, Fernando 3 Roberts, Anthony John 3 Tadmor, Eitan 3 Tanushev, Nicolay M. 3 Tornberg, Anna-Karin 3 Wall, Wolfgang A. 3 Wu, Haijun 3 Yin, Dongsheng 3 Zhang, Yanyan 3 Zhao, Hongkai 3 Zou, Yu 2 Anand, Akash 2 Ariel, Gil 2 Babuška, Ivo 2 Barton, Nathan R. 2 Bold, Katherine A. 2 Candès, Emmanuel J. 2 Chen, Jing 2 Cisternas, Jaime E. 2 Coifman, Ronald Raphaël 2 Collino, Francis 2 Delgadillo, Ricardo 2 Donat, Rosa 2 Fang, Jun 2 Gao, Kai 2 Ghanem, Roger G. 2 Gibson jun., Richard L. ...and 527 more Authors all top 5 Cited in 102 Serials 106 Journal of Computational Physics 19 Multiscale Modeling & Simulation 18 Journal of Computational and Applied Mathematics 16 Journal of Scientific Computing 14 Computer Methods in Applied Mechanics and Engineering 11 SIAM Journal on Scientific Computing 8 Mathematics of Computation 8 Applied Numerical Mathematics 8 Numerical Algorithms 8 SIAM Journal on Applied Dynamical Systems 7 Physica D 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Applied and Computational Harmonic Analysis 7 Advances in Computational Mathematics 6 Wave Motion 6 Applied Mathematics and Computation 6 SIAM Journal on Numerical Analysis 5 Computers and Fluids 5 Computers & Mathematics with Applications 5 BIT 5 International Journal for Numerical Methods in Engineering 5 Numerische Mathematik 5 Journal of Computational Dynamics 4 Journal of Mathematical Biology 4 Foundations of Computational Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Theoretical Biology 3 Communications on Pure and Applied Mathematics 3 Journal of Differential Equations 3 Constructive Approximation 3 Applied Mathematical Modelling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Acta Numerica 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 SIAM/ASA Journal on Uncertainty Quantification 2 Biological Cybernetics 2 International Journal for Numerical Methods in Fluids 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Journal of Functional Analysis 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 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 S\(\vec{\text{e}}\)MA Journal 2 Research in the Mathematical Sciences 1 Archive for Rational Mechanics and Analysis 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Molecular Simulation 1 Bulletin of Mathematical Biology 1 Automatica 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 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 SIAM Journal on Matrix Analysis and Applications 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 International Journal of Robust and Nonlinear Control 1 Journal of Mathematical Imaging and Vision 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 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Far East Journal of Mathematical Sciences 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Entropy 1 Journal of Machine Learning Research (JMLR) 1 Communications on Pure and Applied Analysis 1 Optimization Letters 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Adaptive Data Analysis 1 International Journal for Numerical Methods in Biomedical Engineering 1 The Journal of Mathematical Neuroscience 1 International Journal of Analysis ...and 2 more Serials all top 5 Cited in 35 Fields 271 Numerical analysis (65-XX) 164 Partial differential equations (35-XX) 60 Fluid mechanics (76-XX) 47 Optics, electromagnetic theory (78-XX) 41 Dynamical systems and ergodic theory (37-XX) 36 Statistical mechanics, structure of matter (82-XX) 33 Mechanics of deformable solids (74-XX) 32 Biology and other natural sciences (92-XX) 30 Ordinary differential equations (34-XX) 27 Probability theory and stochastic processes (60-XX) 27 Quantum theory (81-XX) 20 Computer science (68-XX) 18 Approximations and expansions (41-XX) 14 Statistics (62-XX) 14 Information and communication theory, circuits (94-XX) 9 Systems theory; control (93-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of particles and systems (70-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) Citations by Year