# zbMATH — the first resource for mathematics

## Runborg, Olof

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 Author ID: runborg.olof Published as: Runborg, O.; Runborg, Olof External Links: MGP
 Documents Indexed: 51 Publications since 1993, including 3 Books
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#### 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
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#### 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
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#### 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)

#### 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 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
2003
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
2003
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
1996
High-frequency wave propagation by the segment projection method. Zbl 0996.78001
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin
2002
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
2004
Some new results in multiphase geometrical optics. Zbl 0972.78001
Runborg, Olof
2000
Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300
Runborg, Olof
2007
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
2011
Taylor expansion and discretization errors in Gaussian beam superposition. Zbl 1231.78006
2010
Error estimates for Gaussian beam superpositions. Zbl 1277.35236
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M.
2013
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
2012
Effective bifurcation analysis: a time-stepper-based approach. Zbl 1005.37055
Runborg, Olof; Theodoropoulos, Constantinos; Kevrekidis, Ioannis G.
2002
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
2002
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.
2005
Analysis of heterogeneous multiscale methods for long time wave propagation problems. Zbl 1315.65083
Arjmand, Doghonay; Runborg, Olof
2014
A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113
Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof
1999
High frequency limit of the Helmholtz equation. II: Source on a general smooth manifold. Zbl 1290.35262
Castella, F.; Perthame, B.; Runborg, O.
2002
The waveguide eigenvalue problem and the tensor infinite Arnoldi method. Zbl 1366.65104
Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof
2017
A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099
Daubechies, Ingrid; Runborg, Olof; Zou, Jing
2007
Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017
Benamou, Jean-David; Collino, Francis; Runborg, Olof
2004
A time dependent approach for removing the cell boundary error in elliptic homogenization problems. Zbl 1349.65689
Arjmand, Doghonay; Runborg, Olof
2016
Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115
Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin
2014
Gaussian beam methods for the Helmholtz equation. Zbl 1302.35135
Liu, Hailiang; Ralston, James; Runborg, Olof; Tanushev, Nicolay M.
2014
Approximation of high frequency wave propagation problems. Zbl 1179.78113
2009
Fast interface tracking via a multiresolution representation of curves and surfaces. Zbl 1181.65025
Runborg, Olof
2009
Finite moment problems and applications to multiphase computations in geometric optics. Zbl 1100.78006
Gosse, Laurent; Runborg, Olof
2005
Multiphase computations in geometrical optics. Zbl 0963.78004
Engquist, Björn; Runborg, Olof
1999
Analysis of high order fast interface tracking methods. Zbl 1305.65176
Runborg, Olof
2014
Existence, uniqueness, and a constructive solution algorithm for a class of finite Markov moment problems. Zbl 1158.65010
Gosse, Laurent; Runborg, Olof
2008
A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems. Zbl 1133.65089
2007
A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. Zbl 1362.35344
Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R.
2016
Sobolev and max norm error estimates for Gaussian beam superpositions. Zbl 1372.35263
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M.
2016
On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021
Engquist, B.; Häggblad, J.; Runborg, O.
2012
A fast phase space method for computing creeping rays. Zbl 1111.78013
2006
Resolution of the finite Markov moment problem. Zbl 1081.65121
Gosse, Laurent; Runborg, Olof
2005
Introduction to normal multiresolution approximation. Zbl 1105.65358
Runborg, Olof
2005
Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108
Malenová, G.; Motamed, M.; Runborg, O.
2017
Accuracy of staircase approximations in finite-difference methods for wave propagation. Zbl 1318.65050
2014
Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Zbl 1229.65003
Engquist, Björn (ed.); Runborg, Olof (ed.); Tsai, Yen-Hsi R. (ed.)
2012
Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension. Zbl 1260.65067
Popovic, Jelena; Runborg, Olof
2011
Wavelets and wavelet based numerical homogenization. Zbl 1159.65373
Runborg, Olof
2009
Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Zbl 1155.65003
Engquist, Björn (ed.); Lötstedt, Per (ed.); Runborg, Olof (ed.)
2009
Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500
Engquist, Björn (ed.); Lötstedt, Per (ed.); Runborg, Olof (ed.)
2005
Projection generated homogenization. Zbl 1015.35012
Engquist, Björn; Runborg, Olof
2002
Simulation of a waveguide filter using wavelet-based numerical homogenization. Zbl 1040.78019
2001
The waveguide eigenvalue problem and the tensor infinite Arnoldi method. Zbl 1366.65104
Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof
2017
Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108
Malenová, G.; Motamed, M.; Runborg, O.
2017
A time dependent approach for removing the cell boundary error in elliptic homogenization problems. Zbl 1349.65689
Arjmand, Doghonay; Runborg, Olof
2016
A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. Zbl 1362.35344
Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R.
2016
Sobolev and max norm error estimates for Gaussian beam superpositions. Zbl 1372.35263
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M.
2016
Analysis of heterogeneous multiscale methods for long time wave propagation problems. Zbl 1315.65083
Arjmand, Doghonay; Runborg, Olof
2014
Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115
Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin
2014
Gaussian beam methods for the Helmholtz equation. Zbl 1302.35135
Liu, Hailiang; Ralston, James; Runborg, Olof; Tanushev, Nicolay M.
2014
Analysis of high order fast interface tracking methods. Zbl 1305.65176
Runborg, Olof
2014
Accuracy of staircase approximations in finite-difference methods for wave propagation. Zbl 1318.65050
2014
Error estimates for Gaussian beam superpositions. Zbl 1277.35236
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M.
2013
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
2012
On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021
Engquist, B.; Häggblad, J.; Runborg, O.
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
Engquist, Björn (ed.); Runborg, Olof (ed.); Tsai, Yen-Hsi R. (ed.)
2012
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
2011
Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension. Zbl 1260.65067
Popovic, Jelena; Runborg, Olof
2011
Taylor expansion and discretization errors in Gaussian beam superposition. Zbl 1231.78006
2010
Approximation of high frequency wave propagation problems. Zbl 1179.78113
2009
Fast interface tracking via a multiresolution representation of curves and surfaces. Zbl 1181.65025
Runborg, Olof
2009
Wavelets and wavelet based numerical homogenization. Zbl 1159.65373
Runborg, Olof
2009
Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Zbl 1155.65003
Engquist, Björn (ed.); Lötstedt, Per (ed.); Runborg, Olof (ed.)
2009
Existence, uniqueness, and a constructive solution algorithm for a class of finite Markov moment problems. Zbl 1158.65010
Gosse, Laurent; Runborg, Olof
2008
Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300
Runborg, Olof
2007
A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099
Daubechies, Ingrid; Runborg, Olof; Zou, Jing
2007
A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems. Zbl 1133.65089
2007
A fast phase space method for computing creeping rays. Zbl 1111.78013
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.
2005
Finite moment problems and applications to multiphase computations in geometric optics. Zbl 1100.78006
Gosse, Laurent; Runborg, Olof
2005
Resolution of the finite Markov moment problem. Zbl 1081.65121
Gosse, Laurent; Runborg, Olof
2005
Introduction to normal multiresolution approximation. Zbl 1105.65358
Runborg, Olof
2005
Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500
Engquist, Björn (ed.); Lötstedt, Per (ed.); Runborg, Olof (ed.)
2005
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
2004
Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017
Benamou, Jean-David; Collino, Francis; Runborg, Olof
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
2003
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
2003
High-frequency wave propagation by the segment projection method. Zbl 0996.78001
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin
2002
Effective bifurcation analysis: a time-stepper-based approach. Zbl 1005.37055
Runborg, Olof; Theodoropoulos, Constantinos; Kevrekidis, Ioannis G.
2002
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
2002
High frequency limit of the Helmholtz equation. II: Source on a general smooth manifold. Zbl 1290.35262
Castella, F.; Perthame, B.; Runborg, O.
2002
Projection generated homogenization. Zbl 1015.35012
Engquist, Björn; Runborg, Olof
2002
Simulation of a waveguide filter using wavelet-based numerical homogenization. Zbl 1040.78019
2001
Some new results in multiphase geometrical optics. Zbl 0972.78001
Runborg, Olof
2000
A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113
Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof
1999
Multiphase computations in geometrical optics. Zbl 0963.78004
Engquist, Björn; Runborg, Olof
1999
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
1996
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#### 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
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#### 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
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#### 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)