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Author ID: runborg.olof Recent zbMATH articles by "Runborg, Olof"
Published as: Runborg, Olof; Runborg, O.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 651 times in 463 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
160
2003
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
79
2003
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
49
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
29
2004
Mathematical models and numerical methods for high frequency waves. Zbl 1164.78300
Runborg, Olof
25
2007
Some new results in multiphase geometrical optics. Zbl 0972.78001
Runborg, Olof
24
2000
Taylor expansion and discretization errors in Gaussian beam superposition. Zbl 1231.78006
Motamed, Mohammad; Runborg, Olof
22
2010
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
22
2011
Error estimates for Gaussian beam superpositions. Zbl 1277.35236
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M.
21
2013
Effective bifurcation analysis: a time-stepper-based approach. Zbl 1005.37055
Runborg, Olof; Theodoropoulos, Constantinos; Kevrekidis, Ioannis G.
17
2002
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
16
2012
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
16
2002
Analysis of heterogeneous multiscale methods for long time wave propagation problems. Zbl 1315.65083
Arjmand, Doghonay; Runborg, Olof
12
2014
A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113
Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof
12
1999
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.
11
2005
Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115
Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin
10
2014
A time dependent approach for removing the cell boundary error in elliptic homogenization problems. Zbl 1349.65689
Arjmand, Doghonay; Runborg, Olof
9
2016
The waveguide eigenvalue problem and the tensor infinite Arnoldi method. Zbl 1366.65104
Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof
9
2017
High frequency limit of the Helmholtz equation. II: Source on a general smooth manifold. Zbl 1290.35262
Castella, F.; Perthame, B.; Runborg, O.
8
2002
A sparse spectral method for homogenization multiscale problems. Zbl 1152.65099
Daubechies, Ingrid; Runborg, Olof; Zou, Jing
7
2007
Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017
Benamou, Jean-David; Collino, Francis; Runborg, Olof
7
2004
Fast interface tracking via a multiresolution representation of curves and surfaces. Zbl 1181.65025
Runborg, Olof
4
2009
Finite moment problems and applications to multiphase computations in geometric optics. Zbl 1100.78006
Gosse, Laurent; Runborg, Olof
4
2005
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
Gaussian beam methods for the Helmholtz equation. Zbl 1302.35135
Liu, Hailiang; Ralston, James; Runborg, Olof; Tanushev, Nicolay M.
4
2014
Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension. Zbl 1260.65067
Popovic, Jelena; Runborg, Olof
3
2011
Existence, uniqueness, and a constructive solution algorithm for a class of finite Markov moment problems. Zbl 1158.65010
Gosse, Laurent; Runborg, Olof
3
2008
Analysis of high order fast interface tracking methods. Zbl 1305.65176
Runborg, Olof
3
2014
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
Resolution of the finite Markov moment problem. Zbl 1081.65121
Gosse, Laurent; Runborg, Olof
3
2005
WaveHoltz: iterative solution of the Helmholtz equation via the wave equation. Zbl 1453.65396
Appelö, Daniel; Garcia, Fortino; Runborg, Olof
3
2020
Sobolev and max norm error estimates for Gaussian beam superpositions. Zbl 1372.35263
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M.
2
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 fast phase space method for computing creeping rays. Zbl 1111.78013
Motamed, Mohammad; Runborg, Olof
2
2006
Introduction to normal multiresolution approximation. Zbl 1105.65358
Runborg, Olof
2
2005
On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021
Engquist, B.; Häggblad, J.; Runborg, O.
2
2012
Wavelets and wavelet based numerical homogenization. Zbl 1159.65373
Runborg, Olof
1
2009
Projection generated homogenization. Zbl 1015.35012
Engquist, Björn; Runborg, Olof
1
2002
Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500
1
2005
Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108
Malenová, G.; Motamed, M.; Runborg, O.
1
2017
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
1
2012
Simulation of a waveguide filter using wavelet-based numerical homogenization. Zbl 1040.78019
Persson, Per-Olof; Runborg, Olof
1
2001
Accuracy of staircase approximations in finite-difference methods for wave propagation. Zbl 1318.65050
Häggblad, Jon; Runborg, Olof
1
2014
WaveHoltz: iterative solution of the Helmholtz equation via the wave equation. Zbl 1453.65396
Appelö, Daniel; Garcia, Fortino; Runborg, Olof
3
2020
The waveguide eigenvalue problem and the tensor infinite Arnoldi method. Zbl 1366.65104
Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof
9
2017
Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108
Malenová, G.; Motamed, M.; Runborg, O.
1
2017
A time dependent approach for removing the cell boundary error in elliptic homogenization problems. Zbl 1349.65689
Arjmand, Doghonay; Runborg, Olof
9
2016
Sobolev and max norm error estimates for Gaussian beam superpositions. Zbl 1372.35263
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M.
2
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
Analysis of heterogeneous multiscale methods for long time wave propagation problems. Zbl 1315.65083
Arjmand, Doghonay; Runborg, Olof
12
2014
Corrected trapezoidal rules for a class of singular functions. Zbl 1304.65115
Marin, Oana; Runborg, Olof; Tornberg, Anna-Karin
10
2014
Gaussian beam methods for the Helmholtz equation. Zbl 1302.35135
Liu, Hailiang; Ralston, James; Runborg, Olof; Tanushev, Nicolay M.
4
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.
21
2013
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
16
2012
On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021
Engquist, 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 1229.65003
1
2012
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
22
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
Fast interface tracking via a multiresolution representation of curves and surfaces. Zbl 1181.65025
Runborg, Olof
4
2009
Approximation of high frequency wave propagation problems. Zbl 1179.78113
Motamed, Mohammad; Runborg, Olof
4
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
3
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.
11
2005
Finite moment problems and applications to multiphase computations in geometric optics. Zbl 1100.78006
Gosse, Laurent; Runborg, Olof
4
2005
Resolution of the finite Markov moment problem. Zbl 1081.65121
Gosse, Laurent; Runborg, Olof
3
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
29
2004
Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017
Benamou, Jean-David; Collino, Francis; Runborg, Olof
7
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
160
2003
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
79
2003
High-frequency wave propagation by the segment projection method. Zbl 0996.78001
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin
31
2002
Effective bifurcation analysis: a time-stepper-based approach. Zbl 1005.37055
Runborg, Olof; Theodoropoulos, Constantinos; Kevrekidis, Ioannis G.
17
2002
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
16
2002
High frequency limit of the Helmholtz equation. II: Source on a general smooth manifold. Zbl 1290.35262
Castella, F.; Perthame, B.; Runborg, O.
8
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
1
2001
Some new results in multiphase geometrical optics. Zbl 0972.78001
Runborg, Olof
24
2000
A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113
Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof
12
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
49
1996
all top 5

Cited by 659 Authors

34 Kevrekidis, Ioannis George
19 Runborg, Olof
16 Jin, Shi
15 Qian, Jianliang
14 Abdulle, Assyr
12 Amat, Sergio P.
12 Samaey, Giovanni
11 Liandrat, Jacques
11 Liu, Hailiang
10 Chung, Tsz Shun Eric
10 Siettos, Constantinos I.
10 Yang, Xu
9 Luo, Songting
8 Engquist, Bjorn E.
8 Gosse, Laurent
8 Osher, Stanley Joel
8 Tsai, Yen-Hsi Richard
7 Arjmand, Doghonay
7 Benamou, Jean-David
7 Gear, Charles William
7 Kutz, J. Nathan
7 Roberts, Anthony John
6 Chappell, David J.
6 Efendiev, Yalchin R.
6 Jarlebring, Elias
6 Roose, Dirk
6 Ying, Lexing
5 Brunton, Steven L.
5 Bunder, J. E.
5 Dadourian, Karine
5 Dehghan Takht Fooladi, Mehdi
5 Erban, Radek
5 Fox, Rodney O.
5 Kavousanakis, Michail E.
5 Laing, Carlo R.
5 Motamed, Mohammad
5 Salehi, Rezvan
5 Tanner, Gregor K.
5 Trillo, Juan Carlos
5 Xiu, Dongbin
4 Boudouvis, Andreas G.
4 Cheng, Li-Tien
4 Karniadakis, George Em
4 Kreiss, Gunilla
4 Leung, Shingyu
4 Pouchon, Timothée
4 Vandekerckhove, Christophe
4 Wang, Zhongming
4 Wen, Xin
4 Wu, Haijun
4 Zhang, Yanyan
4 Zhang, Zhiwen
4 Zielinski, Przemyslaw
3 Acharya, Amit
3 Anand, Akash
3 Bajars, Janis
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 Hou, Thomas Yizhao
3 Koutsourelakis, Phaedon-Stelios
3 Lelièvre, Tony
3 Leung, Wingtat
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 Russo, Lucia
3 Tadmor, Eitan
3 Tanushev, Nicolay M.
3 Tornberg, Anna-Karin
3 Wall, Wolfgang A.
3 Yang, Dinghui
3 Yin, Dongsheng
3 Zhang, Yu
3 Zhao, Hongkai
3 Zhou, Zhennan
3 Zou, Yu
2 Ariel, Gil
2 Babuška, Ivo
2 Barton, Nathan R.
2 Berra, Michele
2 Bold, Katherine A.
2 Byrne, Helen Mary
2 Candès, Emmanuel J.
2 Chen, Yifan
...and 559 more Authors
all top 5

Cited in 110 Serials

113 Journal of Computational Physics
23 Multiscale Modeling & Simulation
19 Journal of Scientific Computing
18 Journal of Computational and Applied Mathematics
15 Computer Methods in Applied Mechanics and Engineering
14 SIAM Journal on Scientific Computing
10 Numerical Algorithms
8 Mathematics of Computation
8 Physica D
8 Applied Numerical Mathematics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Advances in Computational Mathematics
8 SIAM Journal on Applied Dynamical Systems
7 Computers & Mathematics with Applications
7 Wave Motion
7 Numerische Mathematik
7 Applied and Computational Harmonic Analysis
6 Applied Mathematics and Computation
6 SIAM Journal on Numerical Analysis
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 Journal of Mathematical Biology
4 Journal of Differential Equations
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Computational Dynamics
3 Communications on Pure and Applied Mathematics
3 Constructive Approximation
3 Applied Mathematical Modelling
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Acta Numerica
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 Computational Mechanics
2 Numerical Methods for Partial Differential Equations
2 SIAM Journal on Matrix Analysis and Applications
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 S\(\vec{\text{e}}\)MA Journal
2 Research in the Mathematical Sciences
1 Archive for Rational Mechanics and Analysis
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 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 International Journal of Robust and Nonlinear Control
1 Journal of Mathematical Imaging and Vision
1 Experimental Mathematics
1 Journal of Computational Neuroscience
1 Engineering Analysis with Boundary Elements
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 International Journal of Computational Fluid Dynamics
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 Mathematical Modelling and Analysis
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
...and 10 more Serials
all top 5

Cited in 37 Fields

312 Numerical analysis (65-XX)
187 Partial differential equations (35-XX)
63 Fluid mechanics (76-XX)
54 Optics, electromagnetic theory (78-XX)
45 Dynamical systems and ergodic theory (37-XX)
38 Statistical mechanics, structure of matter (82-XX)
37 Mechanics of deformable solids (74-XX)
33 Biology and other natural sciences (92-XX)
31 Ordinary differential equations (34-XX)
30 Probability theory and stochastic processes (60-XX)
30 Quantum theory (81-XX)
21 Approximations and expansions (41-XX)
21 Computer science (68-XX)
16 Statistics (62-XX)
15 Information and communication theory, circuits (94-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Systems theory; control (93-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Mechanics of particles and systems (70-XX)
8 Classical thermodynamics, heat transfer (80-XX)
8 Geophysics (86-XX)
6 Operations research, mathematical programming (90-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Combinatorics (05-XX)
4 Integral transforms, operational calculus (44-XX)
4 Operator theory (47-XX)
3 Real functions (26-XX)
3 Integral equations (45-XX)
2 Functional analysis (46-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 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year