## Engquist, Bjorn E.

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 Author ID: engquist.bjorn-e Published as: Engquist, Björn; Engquist, Bjorn; Engquist, B.; Engquist, Bjorn E.; Engquist, B. E. more...less Homepage: http://www.ma.utexas.edu/text/webpages/engquist.html External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 135 Publications since 1970, including 1 Book 18 Contributions as Editor · 1 Further Contribution Co-Authors: 90 Co-Authors with 146 Joint Publications 3,036 Co-Co-Authors
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### Co-Authors

 7 single-authored 17 Tsai, Yen-Hsi Richard 14 Runborg, Olof 13 Tornberg, Anna-Karin 12 Osher, Stanley Joel 11 Ying, Lexing 9 E, Weinan 8 Ariel, Gil 7 Yang, Yunan 6 Gustafsson, Bertil 5 Majda, Andrew J. 5 Sjogreen, Bjorn 4 Froese, Brittany D. 4 Halpern, Laurence 4 Harten, Ami 3 Bamberger, Alain 3 Chakravarthy, Sukumar R. 3 Chung, Tsz Shun Eric 3 de Figueiredo, Isabel Maria Narra 3 Frederick, Christina 3 Lee, Yoonsang 3 Lötstedt, Per 3 Poulson, Jack 3 Romanazzi, Giuseppe 3 Sun, Yi 3 Tanushev, Nicolay M. 3 Zhao, Hongkai 2 Abdulle, Assyr 2 Brenan, Kathryn E. 2 Carstensen, Carsten 2 Holst, Henrik 2 Hou, Thomas Yizhao 2 Joly, Patrick 2 Kim, Seongjun 2 Kreiss, Heinz-Otto 2 Luo, Erding 2 Peterseim, Daniel 2 Smedsaas, Tom 2 Tian, Xiaochuan 2 Tsuji, Paul 2 Vanden-Eijnden, Eric 1 Andersson, Ulf 1 Anger, Gottfried 1 Atle, Andreas 1 Bal, Guillaume 1 Benson, Austin R. 1 Björck, Åke 1 Bohlin, Torsten 1 Caflisch, Russel E. 1 Carleson, Lennart 1 Carney, Sean P. 1 Chavent, Guy 1 Chu, Jay 1 Cifka, J. 1 Deregowski, S. M. 1 Deuflhard, Peter 1 Dorobantu, Mihai 1 Du, Qiang 1 Durlofsky, Louis J. 1 Edholm, Paul 1 Eldén, Lars 1 Elfving, Tommy 1 Fatemi, Emad A. 1 Figueiredo, Pedro N. 1 Fokas, Athanassios S. 1 Fornberg, Bengt 1 Glashoff, Klaus 1 Golub, Gene Howard 1 Granlund, Gösta H. 1 Gustafson, Sven-Åke 1 Häggblad, Jon 1 Hairer, Ernst 1 Hammill, Michael 1 Hosken, J. W. J. 1 Huynh, Quyen Quang 1 Ingemarsson, Ingemar 1 Iserles, Arieh 1 Johansson, Jan-Olof 1 Johnsson, Lennart 1 Karagozian, Ann R. 1 Knutsson, Hans 1 Kriegsmann, Gregory A. 1 Kristensson, Gerhard 1 Lailly, Patrick 1 Le Bris, Claude 1 Ledfelt, Gunnar 1 Li, Siwei 1 Li, Xiantao 1 Liu, Jianguo 1 Ljung, Lennart 1 Luskin, Mitchell 1 Marble, Frank E. 1 Marek, Ivo 1 Moser, Robert D. 1 Nashed, M. Zuhair 1 Natterer, Frank 1 Niordson, Frithiof I. N. 1 Nordling, Nikus 1 Olhoff, Niels 1 Owhadi, Houman 1 Payne, Lawrence Edward ...and 25 more Co-Authors
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### Serials

 19 Journal of Computational Physics 10 Communications in Mathematical Sciences 9 Mathematics of Computation 7 Communications on Pure and Applied Mathematics 7 SIAM Journal on Numerical Analysis 7 Multiscale Modeling & Simulation 4 SIAM Journal on Scientific Computing 4 Oberwolfach Reports 4 Lecture Notes in Computational Science and Engineering 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 3 SIAM Journal on Applied Mathematics 3 Acta Numerica 2 BIT 2 Journal of Scientific Computing 2 Proceedings of the National Academy of Sciences of the United States of America 2 Methods and Applications of Analysis 2 Computing and Visualization in Science 2 The IMA Volumes in Mathematics and its Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Computational Fluid Dynamics 1 SIAM Journal on Scientific and Statistical Computing 1 Journal of Computational Mathematics 1 Notices of the American Mathematical Society 1 Applied and Computational Harmonic Analysis 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Communications in Information and Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 London Mathematical Society Lecture Note Series 1 Communications in Computational Physics 1 ICCM Notices 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 125 Numerical analysis (65-XX) 78 Partial differential equations (35-XX) 41 Fluid mechanics (76-XX) 19 General and overarching topics; collections (00-XX) 16 Ordinary differential equations (34-XX) 16 Optics, electromagnetic theory (78-XX) 15 Mechanics of deformable solids (74-XX) 12 Geophysics (86-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

124 Publications have been cited 4,715 times in 3,554 Documents Cited by Year
Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar
1987
Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051
Engquist, Bjorn; Majda, Andrew
1977
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
2003
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
1979
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
2007
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
2012
Numerical approximations of singular source terms in differential equations. Zbl 1115.76392
Tornberg, Anna-Karin; Engquist, Björn
2004
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
2011
Blowup of solutions of the unsteady Prandtl’s equation. Zbl 0908.35099
E, Weinan; Engquist, Bjorn
1997
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R.
1986
One-sided difference approximations for nonlinear conservation laws. Zbl 0469.65067
Engquist, Bjorn; Osher, Stanley
1981
Discretization of Dirac delta functions in level set methods. Zbl 1074.65025
Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard
2005
Absorbing boundary conditions for numerical simulation of waves. Zbl 0378.76018
Engquist, Björn; Majda, Andrew
1977
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
2003
Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. Zbl 1279.65117
Chung, Eric T.; Engquist, Björn
2009
Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037
Engquist, Björn; Ying, Lexing
2011
Optimal discontinuous Galerkin methods for wave propagation. Zbl 1158.65337
Chung, Eric T.; Engquist, Björn
2006
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R.
1997
Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075
Engquist, Bjorn; Tsai, Yen-Hsi
2005
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
2003
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
1996
Multiscale modeling and computation. Zbl 1032.65013
E, Weinan; Engquist, Bjorn
2003
Triangle based adaptive stencils for the solution of hyperbolic conservation laws. Zbl 0747.65072
Durlofsky, Louis J.; Engquist, Bjorn; Osher, Stanley
1992
Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006
Engquist, Björn; Ying, Lexing
2007
Stable and entropy satisfying approximations for transonic flow calculations. Zbl 0438.76051
Engquist, Bjorn; Osher, Stanley
1980
A finite element based level-set method for multiphase flow applications. Zbl 1060.76578
Tornberg, Anna-Karin; Engquist, Björn
2000
Wavelet-based numerical homogenization. Zbl 0936.65135
Dorobantu, Mihai; Engquist, Björn
1998
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. Zbl 0836.65099
Fatemi, E.; Engquist, B.; Osher, S.
1995
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
2008
High-frequency wave propagation by the segment projection method. Zbl 0996.78001
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin
2002
The convergence rate of finite difference schemes in the presence of shocks. Zbl 0922.76254
Engquist, Bjorn; Sjögreen, Björn
1998
A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing
2013
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
2014
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
2009
Parabolic wave equation approximations in heterogeneous media. Zbl 0654.35055
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P.
1988
Nonlinear filters for efficient shock computation. Zbl 0667.65073
Engquist, Björn; Lötstedt, Per; Sjögreen, Björn
1989
Higher order paraxial wave equation approximations in heterogeneous media. Zbl 0654.35056
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P.
1988
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
1998
The heterogeneous multi-scale method for homogenization problems. Zbl 1086.65521
E, Weinan; Engquist, Björn
2005
Fast wavelet based algorithms for linear evolution equations. Zbl 0851.65060
Engquist, Bjorn; Osher, Stanley; Zhong, Sifen
1994
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
2011
A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Highly oscillatory problems. Zbl 1170.37002
2009
Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019
Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard
2009
Optimal transport for seismic full waveform inversion. Zbl 1353.49049
Engquist, Björn; Froese, Brittany D.; Yang, Yunan
2016
Finite element heterogeneous multiscale methods with near optimal computational complexity. Zbl 1155.65096
Abdulle, Assyr; Engquist, Bjorn
2008
Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022
Engquist, Björn; Zhao, Hongkai
2018
The segment projection method for interface tracking. Zbl 1205.76205
Tornberg, Anna-Karin; Engquist, Björn
2003
Interface tracking in multiphase flows. Zbl 0987.76056
Tornberg, A.-K.; Engquist, B.
2000
From numerical analysis to computational science. Zbl 1047.65504
Engquist, Björn; Golub, Gene
2001
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
2002
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
2012
Numerical radiation boundary conditions for unsteady transonic flow. Zbl 0467.76056
Engquist, Bjorn; Majda, Andrew
1981
Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients. Zbl 0890.65107
Engquist, Bjorn; Luo, Erding
1997
Large time behavior and homogenization of solutions of two-dimensional conservation laws. Zbl 0797.35114
Engquist, Bjorn; E, Weinan
1993
Steady state computations for wave propagation problems. Zbl 0632.65099
Engquist, Björn; Gustafsson, Bertil
1987
Convergence analysis of fully discrete finite volume methods for Maxwell’s equations in nonhomogeneous media. Zbl 1128.78013
Chung, Eric T.; Engquist, Bjorn
2005
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013
Tsuji, Paul; Engquist, Bjorn; Ying, Lexing
2012
A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113
Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof
1999
A multiscale method coupling network and continuum models in porous media. I: Steady-state single phase flow. Zbl 1428.76115
Chu, Jay; Engquist, Björn; Prodanović, Maša; Tsai, Richard
2012
Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302
Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn
2005
Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Zbl 1349.65287
Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard
2013
Particle method approximation of oscillatory solutions to hyperbolic differential equations. Zbl 0675.65093
Engquist, Bjorn; Hou, Thomas Y.
1989
Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing
2014
A multiscale method for highly oscillatory dynamical systems using a Poincaré map type technique. Zbl 1263.65067
Ariel, G.; Engquist, B.; Kim, S.; Lee, Y.; Tsai, R.
2013
One-sided difference schemes and transonic flow. Zbl 0432.76052
Engquist, Bjorn; Osher, Stanley
1980
Backward differentiation approximations of nonlinear differential/algebraic systems. Zbl 0699.65058
Brenan, Kathryn E.; Engquist, Bjorn E.
1988
Supplement to “Backward differentiation approximations of nonlinear differential/algebraic systems”. Zbl 0699.65059
Brenan, Kathryn E.; Engquist, Bjorn E.
1988
Numerical approximation of hyperbolic conservation laws with stiff terms. Zbl 0789.35104
Sjögreen, Björn; Engquist, Björn
1991
On surface radiation conditions for high-frequency wave scattering. Zbl 1139.78004
Atle, Andreas; Engquist, Bjorn
2007
Numerical multiscale methods for coupled oscillators. Zbl 1175.65078
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Far field boundary conditions for computation over long time. Zbl 0641.65088
Engquist, Björn; Halpern, Laurence
1988
Consistent boundary conditions for the Yee scheme. Zbl 1154.65354
Tornberg, Anna-Karin; Engquist, Björn
2008
Fast sweeping methods for hyperbolic systems of conservation laws at steady state. II. Zbl 1352.65235
Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard
2015
Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103
Engquist, Björn; Ying, Lexing
2010
New coarse grid operators for highly oscillatory coefficient elliptic problems. Zbl 0865.65073
Engquist, Bjorn; Luo, Erding
1996
Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard
2011
Numerical methods for multiscale inverse problems. Zbl 1383.65135
Frederick, Christina; Engquist, Björn
2017
Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106
Ariel, Gil; Engquist, Björn; Tsai, Yen-Hsi Richard
2012
A reversible multiscale integration method. Zbl 1182.65104
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Multiphase computations in geometrical optics. Zbl 0963.78004
Engquist, Björn; Runborg, Olof
1999
Multiscale computations for highly oscillatory problems. Zbl 1159.65332
Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard
2009
Heterogeneous multiscale methods for interface tracking of combustion fronts. Zbl 1115.80006
Sun, Yi; Engquist, Bjorn
2006
Long-time behaviour of absorbing boundary conditions. Zbl 0711.65085
Engquist, B.; Halpern, L.
1990
A convection-diffusion-shape model for aberrant colonic crypt morphogenesis. Zbl 1238.92018
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn; Figueiredo, Pedro N.
2011
The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029
Engquist, Björn; Ren, Kui; Yang, Yunan
2020
Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083
Tian, Xiaochuan; Engquist, Björn
2019
Mathematics unlimited—2001 and beyond. Zbl 0955.00011
2001
High order shock capturing methods. Zbl 0875.76348
Engquist, Bjorn; Sjogreen, Bjorn
1995
Numerical simulations of high-speed chemically reacting flow. Zbl 0808.76062
Ton, V. T.; Karagozian, A. R.; Marble, F. E.; Osher, S. J.; Engquist, B. E.
1994
Variable step size multiscale methods for stiff and highly oscillatory dynamical systems. Zbl 1326.65083
Lee, Yoonsang; Engquist, Bjorn
2014
A new type of boundary treatment for wave propagation. Zbl 1106.65078
Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P.
2006
Nonuniform sampling and multiscale computation. Zbl 1380.94068
Engquist, Björn; Frederick, Christina
2014
Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050
Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard
2014
Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. Zbl 1349.76495
Lee, Yoonsang; Engquist, Bjorn
2016
Biomathematical model for simulating abnormal orifice patterns in colonic crypts. Zbl 1425.92025
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Björn
2019
Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084
Tornberg, Anna-Karin; Engquist, Björn
2006
Homogenization model for aberrant crypt foci. Zbl 1382.35217
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn
2016
Numerical methods for oscillatory solutions to hyperbolic problems. Zbl 0801.65084
Engquist, Bjorn; Liu, Jian-Guo
1993
Seismic imaging and optimal transport. Zbl 1455.86009
Engquist, Bjorn; Yang, Yunan
2019
The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029
Engquist, Björn; Ren, Kui; Yang, Yunan
2020
Near-wall patch representation of wall-bounded turbulence. Zbl 1460.76453
Carney, Sean P.; Engquist, Björn; Moser, Robert D.
2020
Multiscale modeling, homogenization and nonlocal effects: mathematical and computational issues. Zbl 1481.65263
Du, Qiang; Engquist, Bjorn; Tian, Xiaochuan
2020
Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083
Tian, Xiaochuan; Engquist, Björn
2019
Biomathematical model for simulating abnormal orifice patterns in colonic crypts. Zbl 1425.92025
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Björn
2019
Seismic imaging and optimal transport. Zbl 1455.86009
Engquist, Bjorn; Yang, Yunan
2019
Seismic inversion and the data normalization for optimal transport. Zbl 1436.49049
Engquist, Björn; Yang, Yunan
2019
Seismic imaging and optimal transport. Zbl 1433.86008
Engquist, Björn; Yang, Yunan
2019
Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022
Engquist, Björn; Zhao, Hongkai
2018
Numerical methods for multiscale inverse problems. Zbl 1383.65135
Frederick, Christina; Engquist, Björn
2017
Optimal transport for seismic full waveform inversion. Zbl 1353.49049
Engquist, Björn; Froese, Brittany D.; Yang, Yunan
2016
Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. Zbl 1349.76495
Lee, Yoonsang; Engquist, Bjorn
2016
Homogenization model for aberrant crypt foci. Zbl 1382.35217
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn
2016
Fast sweeping methods for hyperbolic systems of conservation laws at steady state. II. Zbl 1352.65235
Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard
2015
Encyclopedia of applied and computational mathematics. In 2 volumes. Zbl 1263.65001
2015
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
2014
Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing
2014
Variable step size multiscale methods for stiff and highly oscillatory dynamical systems. Zbl 1326.65083
Lee, Yoonsang; Engquist, Bjorn
2014
Nonuniform sampling and multiscale computation. Zbl 1380.94068
Engquist, Björn; Frederick, Christina
2014
Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050
Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard
2014
A parallel directional fast multipole method. Zbl 1305.78017
Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing
2014
A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing
2013
Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Zbl 1349.65287
Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard
2013
A multiscale method for highly oscillatory dynamical systems using a Poincaré map type technique. Zbl 1263.65067
Ariel, G.; Engquist, B.; Kim, S.; Lee, Y.; Tsai, R.
2013
A fast algorithm for reiterated homogenization. Zbl 1315.35025
Engquist, Björn; Ying, Lexing
2013
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
2012
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
2012
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013
Tsuji, Paul; Engquist, Bjorn; Ying, Lexing
2012
A multiscale method coupling network and continuum models in porous media. I: Steady-state single phase flow. Zbl 1428.76115
Chu, Jay; Engquist, Björn; Prodanović, Maša; Tsai, Richard
2012
Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106
Ariel, Gil; Engquist, Björn; Tsai, Yen-Hsi Richard
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
2012
On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021
Engquist, B.; Häggblad, J.; Runborg, O.
2012
A coupled finite difference-Gaussian beam method for high frequency wave propagation. Zbl 1246.65154
Tanushev, Nicolay M.; Tsai, Yen-Hsi Richard; Engquist, Björn
2012
Fast algorithms for high frequency wave propagation. Zbl 1248.65114
Engquist, Björn; Ying, Lexing
2012
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
2011
Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037
Engquist, Björn; Ying, Lexing
2011
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
2011
Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard
2011
A convection-diffusion-shape model for aberrant colonic crypt morphogenesis. Zbl 1238.92018
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn; Figueiredo, Pedro N.
2011
A multiscale method for epitaxial growth. Zbl 1217.82096
Sun, Yi; Caflisch, Russel; Engquist, Bjorn
2011
The heterogeneous multiscale methods with application to combustion. Zbl 1380.76098
E, Weinan; Engquist, Björn; Sun, Yi
2011
Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103
Engquist, Björn; Ying, Lexing
2010
Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. Zbl 1279.65117
Chung, Eric T.; Engquist, Björn
2009
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
2009
A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Highly oscillatory problems. Zbl 1170.37002
2009
Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019
Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard
2009
Numerical multiscale methods for coupled oscillators. Zbl 1175.65078
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
A reversible multiscale integration method. Zbl 1182.65104
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Multiscale computations for highly oscillatory problems. Zbl 1159.65332
Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard
2009
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
2008
Finite element heterogeneous multiscale methods with near optimal computational complexity. Zbl 1155.65096
Abdulle, Assyr; Engquist, Bjorn
2008
Consistent boundary conditions for the Yee scheme. Zbl 1154.65354
Tornberg, Anna-Karin; Engquist, Björn
2008
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
2007
Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006
Engquist, Björn; Ying, Lexing
2007
On surface radiation conditions for high-frequency wave scattering. Zbl 1139.78004
Atle, Andreas; Engquist, Bjorn
2007
Optimal discontinuous Galerkin methods for wave propagation. Zbl 1158.65337
Chung, Eric T.; Engquist, Björn
2006
Heterogeneous multiscale methods for interface tracking of combustion fronts. Zbl 1115.80006
Sun, Yi; Engquist, Bjorn
2006
A new type of boundary treatment for wave propagation. Zbl 1106.65078
Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P.
2006
Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084
Tornberg, Anna-Karin; Engquist, Björn
2006
Discretization of Dirac delta functions in level set methods. Zbl 1074.65025
Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard
2005
Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075
Engquist, Bjorn; Tsai, Yen-Hsi
2005
The heterogeneous multi-scale method for homogenization problems. Zbl 1086.65521
E, Weinan; Engquist, Björn
2005
Convergence analysis of fully discrete finite volume methods for Maxwell’s equations in nonhomogeneous media. Zbl 1128.78013
Chung, Eric T.; Engquist, Bjorn
2005
Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302
Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn
2005
Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500
2005
Multi-scale modeling. Zbl 1103.65145
Engquist, Björn
2005
Numerical approximations of singular source terms in differential equations. Zbl 1115.76392
Tornberg, Anna-Karin; Engquist, Björn
2004
The heterogeneous multi-scale method. Zbl 1328.74087
E, Weinan; Engquist, Bjorn
2004
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
2003
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
2003
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
2003
Multiscale modeling and computation. Zbl 1032.65013
E, Weinan; Engquist, Bjorn
2003
The segment projection method for interface tracking. Zbl 1205.76205
Tornberg, Anna-Karin; Engquist, Björn
2003
High-frequency wave propagation by the segment projection method. Zbl 0996.78001
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin
2002
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
2002
Projection generated homogenization. Zbl 1015.35012
Engquist, Björn; Runborg, Olof
2002
A finite element based level-set method for multiphase flows. Zbl 1078.76560
Engquist, Björn; Tornberg, Anna-Karin
2002
From numerical analysis to computational science. Zbl 1047.65504
Engquist, Björn; Golub, Gene
2001
Mathematics unlimited—2001 and beyond. Zbl 0955.00011
2001
A finite element based level-set method for multiphase flow applications. Zbl 1060.76578
Tornberg, Anna-Karin; Engquist, Björn
2000
Interface tracking in multiphase flows. Zbl 0987.76056
Tornberg, A.-K.; Engquist, B.
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
Wavelet-based numerical homogenization. Zbl 0936.65135
Dorobantu, Mihai; Engquist, Björn
1998
The convergence rate of finite difference schemes in the presence of shocks. Zbl 0922.76254
Engquist, Bjorn; Sjögreen, Björn
1998
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
1998
Absorbing boundary conditions for domain decomposition. Zbl 0952.65098
Engquist, Bjorn; Zhao, Hong-Kai
1998
Examples of error propagation from discontinuities. Zbl 0948.76052
Engquist, Björn; Sjögreen, Björn
1998
Blowup of solutions of the unsteady Prandtl’s equation. Zbl 0908.35099
E, Weinan; Engquist, Bjorn
1997
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R.
1997
Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients. Zbl 0890.65107
Engquist, Bjorn; Luo, Erding
1997
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
1996
New coarse grid operators for highly oscillatory coefficient elliptic problems. Zbl 0865.65073
Engquist, Bjorn; Luo, Erding
1996
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. Zbl 0836.65099
Fatemi, E.; Engquist, B.; Osher, S.
1995
High order shock capturing methods. Zbl 0875.76348
Engquist, Bjorn; Sjogreen, Bjorn
1995
Fast wavelet based algorithms for linear evolution equations. Zbl 0851.65060
Engquist, Bjorn; Osher, Stanley; Zhong, Sifen
1994
Numerical simulations of high-speed chemically reacting flow. Zbl 0808.76062
Ton, V. T.; Karagozian, A. R.; Marble, F. E.; Osher, S. J.; Engquist, B. E.
1994
Large time behavior and homogenization of solutions of two-dimensional conservation laws. Zbl 0797.35114
Engquist, Bjorn; E, Weinan
1993
Numerical methods for oscillatory solutions to hyperbolic problems. Zbl 0801.65084
Engquist, Bjorn; Liu, Jian-Guo
1993
...and 24 more Documents
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### Cited by 4,718 Authors

 79 Shu, Chi-Wang 71 Chung, Tsz Shun Eric 47 Dumbser, Michael 43 Abdulle, Assyr 39 Engquist, Bjorn E. 36 Qiu, Jianxian 35 Efendiev, Yalchin R. 31 Givoli, Dan 29 Osher, Stanley Joel 29 Toro, Eleuterio Francisco 29 Ying, Lexing 23 Antoine, Xavier 23 Leung, Wingtat 21 Jin, Shi 21 Zhu, Jun 20 Amat, Sergio P. 20 Runborg, Olof 20 Tsai, Yen-Hsi Richard 19 Hagstrom, Thomas M. 19 Qian, Jianliang 18 E, Weinan 18 Grote, Marcus J. 17 Aràndiga, Francesc 17 Liu, Hailiang 17 Xu, Kun 16 Adams, Nikolaus A. 16 Cockburn, Bernardo 16 Gander, Martin Jakob 15 Munz, Claus-Dieter 15 Wang, Zhijian 15 Zhao, Lina 14 Guddati, Murthy N. 14 Kurganov, Alexander 14 Nordström, Jan 14 Vasilyeva, Maria V. 13 Cui, Junzhi 13 Han, Houde 13 Hesthaven, Jan S. 13 Kreiss, Gunilla 13 Park, Eun-Jae 13 Xiao, Feng 12 Legoll, Frédéric 12 Lu, Jianfeng 12 Luo, Songting 12 Samaey, Giovanni 12 Yang, Tong 11 Bao, Weizhu 11 Beilina, Larisa 11 Geuzaine, Christophe A. 11 Ha, Youngsoo 11 Liu, Yingjie 11 Mulet, Pep 11 Müller, Siegfried 11 Ohlberger, Mario 11 Tadmor, Eitan 10 Bürger, Raimund 10 Deng, Xi 10 Donat, Rosa 10 Fu, Lin 10 Halpern, Laurence 10 Henning, Patrick 10 Hou, Thomas Yizhao 10 Joly, Patrick 10 Le Bris, Claude 10 Liu, Cheng-Jie 10 Mishra, Siddhartha 10 Nataf, Frédéric 10 Pan, Liang 10 Tornberg, Anna-Karin 10 Wei, Guowei 10 Wu, Haijun 10 Yang, Haizhao 10 Yang, Zhiqiang 10 Zhao, Hongkai 9 Balsara, Dinshaw S. 9 Cheung, Siu Wun 9 Dehghan Takht Fooladi, Mehdi 9 Gassner, Gregor J. 9 Gosse, Laurent 9 Hoang, Viet Ha 9 Kim, Changho 9 Kim, Hyea Hyun 9 Montecinos, Gino I. 9 Ostapenko, Vladimir Viktorovich 9 Owhadi, Houman 9 Ren, Yuxin 9 Shen, Yiqing 9 Sun, Yi 9 Tavelli, Maurizio 9 Yang, Xu 8 Benamou, Jean-David 8 Colonius, Tim 8 Deng, Xiaogang 8 Fjordholm, Ulrik Skre 8 Fu, Shubin 8 Graham, Ivan G. 8 Kevrekidis, Ioannis George 8 Li, Guanglian 8 Li, Xiantao 8 Ma, Qiang ...and 4,618 more Authors
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### Cited in 285 Serials

 821 Journal of Computational Physics 212 Journal of Scientific Computing 193 Computer Methods in Applied Mechanics and Engineering 169 Computers and Fluids 138 Journal of Computational and Applied Mathematics 98 Applied Numerical Mathematics 89 Multiscale Modeling & Simulation 83 SIAM Journal on Scientific Computing 80 Computers & Mathematics with Applications 79 Mathematics of Computation 63 Applied Mathematics and Computation 58 Communications in Computational Physics 52 Numerische Mathematik 48 International Journal for Numerical Methods in Engineering 43 Wave Motion 40 SIAM Journal on Numerical Analysis 36 International Journal for Numerical Methods in Fluids 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 30 Computational Mechanics 26 International Journal of Computational Fluid Dynamics 23 Numerical Methods for Partial Differential Equations 23 Applied Mathematical Modelling 21 BIT 21 Physica D 21 Advances in Computational Mathematics 20 Numerical Algorithms 20 Computational Geosciences 19 Journal of Fluid Mechanics 18 Engineering Analysis with Boundary Elements 17 Archive for Rational Mechanics and Analysis 17 Journal of Mathematical Analysis and Applications 17 Journal of Differential Equations 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Inverse Problems 14 Communications on Pure and Applied Mathematics 14 Advances in Applied Mathematics and Mechanics 13 Mathematics and Computers in Simulation 13 Applied Mathematics Letters 12 Foundations of Computational Mathematics 12 International Journal of Computational Methods 11 International Journal of Computer Mathematics 10 Mathematical and Computer Modelling 10 SIAM Journal on Mathematical Analysis 10 Applied and Computational Harmonic Analysis 10 Numerical Linear Algebra with Applications 10 Discrete and Continuous Dynamical Systems 10 Mathematical Problems in Engineering 10 Living Reviews in Relativity 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Journal of Computational Acoustics 10 Discrete and Continuous Dynamical Systems. Series S 10 Research in the Mathematical Sciences 9 Computer Physics Communications 9 Mathematical Methods in the Applied Sciences 9 Communications in Numerical Methods in Engineering 9 Physics of Fluids 9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 9 Archives of Computational Methods in Engineering 8 Journal of Engineering Mathematics 8 RAIRO. Modélisation Mathématique et Analyse Numérique 8 SIAM Journal on Matrix Analysis and Applications 8 Communications in Nonlinear Science and Numerical Simulation 8 Matematicheskoe Modelirovanie 8 Computational Methods in Applied Mathematics 8 Acta Mechanica Sinica 8 The Annals of Applied Statistics 7 Applicable Analysis 7 Journal of Mathematical Physics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Applied Mathematics 7 Computational and Applied Mathematics 7 International Journal for Numerical Methods in Biomedical Engineering 7 SIAM/ASA Journal on Uncertainty Quantification 6 Applied Mathematics and Mechanics. (English Edition) 6 Statistical Science 6 Communications in Partial Differential Equations 6 ETNA. Electronic Transactions on Numerical Analysis 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 Lobachevskii Journal of Mathematics 6 Acta Numerica 6 International Journal of Numerical Analysis and Modeling 6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 6 Communications on Applied Mathematics and Computation 5 Bulletin of Mathematical Biology 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Chinese Annals of Mathematics. Series B 5 Acta Mathematicae Applicatae Sinica. English Series 5 Computational Mathematics and Mathematical Physics 5 SIAM Review 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 Journal of Mathematical Fluid Mechanics 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Hyperbolic Differential Equations 5 Inverse Problems in Science and Engineering 5 Networks and Heterogeneous Media 5 SIAM Journal on Imaging Sciences 5 Science China. Mathematics 5 S$$\vec{\text{e}}$$MA Journal 4 Advances in Mathematics 4 Japan Journal of Industrial and Applied Mathematics ...and 185 more Serials
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### Cited in 45 Fields

 2,352 Numerical analysis (65-XX) 1,590 Partial differential equations (35-XX) 1,407 Fluid mechanics (76-XX) 376 Mechanics of deformable solids (74-XX) 230 Optics, electromagnetic theory (78-XX) 116 Geophysics (86-XX) 89 Statistical mechanics, structure of matter (82-XX) 80 Probability theory and stochastic processes (60-XX) 80 Biology and other natural sciences (92-XX) 72 Ordinary differential equations (34-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 58 Classical thermodynamics, heat transfer (80-XX) 51 Approximations and expansions (41-XX) 47 Dynamical systems and ergodic theory (37-XX) 46 Quantum theory (81-XX) 43 Statistics (62-XX) 39 Computer science (68-XX) 34 Information and communication theory, circuits (94-XX) 29 Mechanics of particles and systems (70-XX) 27 Systems theory; control (93-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Operations research, mathematical programming (90-XX) 21 Integral equations (45-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Operator theory (47-XX) 18 Relativity and gravitational theory (83-XX) 14 Functional analysis (46-XX) 11 Integral transforms, operational calculus (44-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Special functions (33-XX) 10 Astronomy and astrophysics (85-XX) 9 Differential geometry (53-XX) 8 Real functions (26-XX) 6 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 5 Potential theory (31-XX) 3 Measure and integration (28-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX)

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