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Author ID: engquist.bjorn-e Recent zbMATH articles by "Engquist, Bjorn E."
Published as: Engquist, Björn; Engquist, Bjorn; Engquist, B.; Engquist, Bjorn E.; Engquist, B. E.
Homepage: http://www.ma.utexas.edu/text/webpages/engquist.html
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

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
all top 5

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

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 4,614 times in 3,499 Documents Cited by Year
Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar
911
1987
Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051
Engquist, Bjorn; Majda, Andrew
489
1977
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
355
2003
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
214
1979
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
164
2007
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
143
2012
Numerical approximations of singular source terms in differential equations. Zbl 1115.76392
Tornberg, Anna-Karin; Engquist, Björn
120
2004
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
102
2011
Blowup of solutions of the unsteady Prandtl’s equation. Zbl 0908.35099
E, Weinan; Engquist, Bjorn
99
1997
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R.
91
1986
One-sided difference approximations for nonlinear conservation laws. Zbl 0469.65067
Engquist, Bjorn; Osher, Stanley
90
1981
Discretization of Dirac delta functions in level set methods. Zbl 1074.65025
Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard
86
2005
Absorbing boundary conditions for numerical simulation of waves. Zbl 0378.76018
Engquist, Björn; Majda, Andrew
83
1977
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
81
2003
Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. Zbl 1279.65117
Chung, Eric T.; Engquist, Björn
80
2009
Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037
Engquist, Björn; Ying, Lexing
78
2011
Optimal discontinuous Galerkin methods for wave propagation. Zbl 1158.65337
Chung, Eric T.; Engquist, Björn
77
2006
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R.
63
1997
Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075
Engquist, Bjorn; Tsai, Yen-Hsi
50
2005
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
49
1996
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
49
2003
Multiscale modeling and computation. Zbl 1032.65013
E, Weinan; Engquist, Bjorn
48
2003
Triangle based adaptive stencils for the solution of hyperbolic conservation laws. Zbl 0747.65072
Durlofsky, Louis J.; Engquist, Bjorn; Osher, Stanley
43
1992
Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006
Engquist, Björn; Ying, Lexing
40
2007
Stable and entropy satisfying approximations for transonic flow calculations. Zbl 0438.76051
Engquist, Bjorn; Osher, Stanley
39
1980
A finite element based level-set method for multiphase flow applications. Zbl 1060.76578
Tornberg, Anna-Karin; Engquist, Björn
37
2000
Wavelet-based numerical homogenization. Zbl 0936.65135
Dorobantu, Mihai; Engquist, Björn
36
1998
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. Zbl 0836.65099
Fatemi, E.; Engquist, B.; Osher, S.
35
1995
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
32
2008
High-frequency wave propagation by the segment projection method. Zbl 0996.78001
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin
31
2002
The convergence rate of finite difference schemes in the presence of shocks. Zbl 0922.76254
Engquist, Bjorn; Sjögreen, Björn
30
1998
A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing
30
2013
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
27
2009
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
27
2014
Nonlinear filters for efficient shock computation. Zbl 0667.65073
Engquist, Björn; Lötstedt, Per; Sjögreen, Björn
26
1989
Parabolic wave equation approximations in heterogeneous media. Zbl 0654.35055
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P.
26
1988
Higher order paraxial wave equation approximations in heterogeneous media. Zbl 0654.35056
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P.
24
1988
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
24
1998
Fast wavelet based algorithms for linear evolution equations. Zbl 0851.65060
Engquist, Bjorn; Osher, Stanley; Zhong, Sifen
23
1994
The heterogeneous multi-scale method for homogenization problems. Zbl 1086.65521
E, Weinan; Engquist, Björn
23
2005
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
22
2011
Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019
Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard
20
2009
Highly oscillatory problems. Zbl 1170.37002
20
2009
Finite element heterogeneous multiscale methods with near optimal computational complexity. Zbl 1155.65096
Abdulle, Assyr; Engquist, Bjorn
19
2008
A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
19
2009
Optimal transport for seismic full waveform inversion. Zbl 1353.49049
Engquist, Björn; Froese, Brittany D.; Yang, Yunan
18
2016
Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022
Engquist, Björn; Zhao, Hongkai
18
2018
The segment projection method for interface tracking. Zbl 1205.76205
Tornberg, Anna-Karin; Engquist, Björn
17
2003
From numerical analysis to computational science. Zbl 1047.65504
Engquist, Björn; Golub, Gene
16
2001
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
16
2002
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
16
2012
Interface tracking in multiphase flows. Zbl 0987.76056
Tornberg, A.-K.; Engquist, B.
15
2000
Numerical radiation boundary conditions for unsteady transonic flow. Zbl 0467.76056
Engquist, Bjorn; Majda, Andrew
15
1981
Large time behavior and homogenization of solutions of two-dimensional conservation laws. Zbl 0797.35114
Engquist, Bjorn; E, Weinan
13
1993
Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients. Zbl 0890.65107
Engquist, Bjorn; Luo, Erding
13
1997
Convergence analysis of fully discrete finite volume methods for Maxwell’s equations in nonhomogeneous media. Zbl 1128.78013
Chung, Eric T.; Engquist, Bjorn
13
2005
Steady state computations for wave propagation problems. Zbl 0632.65099
Engquist, Björn; Gustafsson, Bertil
13
1987
A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113
Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof
12
1999
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013
Tsuji, Paul; Engquist, Bjorn; Ying, Lexing
12
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
11
2012
Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302
Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn
9
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
9
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.
8
2013
Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing
8
2014
One-sided difference schemes and transonic flow. Zbl 0432.76052
Engquist, Bjorn; Osher, Stanley
7
1980
Backward differentiation approximations of nonlinear differential/algebraic systems. Zbl 0699.65058
Brenan, Kathryn E.; Engquist, Bjorn E.
7
1988
Supplement to “Backward differentiation approximations of nonlinear differential/algebraic systems”. Zbl 0699.65059
Brenan, Kathryn E.; Engquist, Bjorn E.
7
1988
Particle method approximation of oscillatory solutions to hyperbolic differential equations. Zbl 0675.65093
Engquist, Bjorn; Hou, Thomas Y.
7
1989
Numerical multiscale methods for coupled oscillators. Zbl 1175.65078
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
6
2009
Numerical approximation of hyperbolic conservation laws with stiff terms. Zbl 0789.35104
Sjögreen, Björn; Engquist, Björn
6
1991
Far field boundary conditions for computation over long time. Zbl 0641.65088
Engquist, Björn; Halpern, Laurence
6
1988
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
6
2015
On surface radiation conditions for high-frequency wave scattering. Zbl 1139.78004
Atle, Andreas; Engquist, Bjorn
6
2007
Consistent boundary conditions for the Yee scheme. Zbl 1154.65354
Tornberg, Anna-Karin; Engquist, Björn
6
2008
Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103
Engquist, Björn; Ying, Lexing
5
2010
Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard
5
2011
Numerical methods for multiscale inverse problems. Zbl 1383.65135
Frederick, Christina; Engquist, Björn
5
2017
Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106
Ariel, Gil; Engquist, Björn; Tsai, Yen-Hsi Richard
5
2012
The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029
Engquist, Björn; Ren, Kui; Yang, Yunan
4
2020
A reversible multiscale integration method. Zbl 1182.65104
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
4
2009
New coarse grid operators for highly oscillatory coefficient elliptic problems. Zbl 0865.65073
Engquist, Bjorn; Luo, Erding
4
1996
Multiphase computations in geometrical optics. Zbl 0963.78004
Engquist, Björn; Runborg, Olof
4
1999
Multiscale computations for highly oscillatory problems. Zbl 1159.65332
Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard
4
2009
Heterogeneous multiscale methods for interface tracking of combustion fronts. Zbl 1115.80006
Sun, Yi; Engquist, Bjorn
4
2006
Long-time behaviour of absorbing boundary conditions. Zbl 0711.65085
Engquist, B.; Halpern, L.
4
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.
4
2011
Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083
Tian, Xiaochuan; Engquist, Björn
3
2019
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.
3
1994
Mathematics unlimited—2001 and beyond. Zbl 0955.00011
3
2001
High order shock capturing methods. Zbl 0875.76348
Engquist, Bjorn; Sjogreen, Bjorn
3
1995
Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. Zbl 1349.76495
Lee, Yoonsang; Engquist, Bjorn
3
2016
Homogenization model for aberrant crypt foci. Zbl 1382.35217
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn
3
2016
A new type of boundary treatment for wave propagation. Zbl 1106.65078
Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P.
3
2006
Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084
Tornberg, Anna-Karin; Engquist, Björn
3
2006
Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050
Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard
3
2014
Variable step size multiscale methods for stiff and highly oscillatory dynamical systems. Zbl 1326.65083
Lee, Yoonsang; Engquist, Bjorn
3
2014
Seismic imaging and optimal transport. Zbl 1455.86009
Engquist, Bjorn; Yang, Yunan
2
2019
Seismic inversion and the data normalization for optimal transport. Zbl 1436.49049
Engquist, Björn; Yang, Yunan
2
2019
Numerical methods for oscillatory solutions to hyperbolic problems. Zbl 0801.65084
Engquist, Bjorn; Liu, Jian-Guo
2
1993
Multiscale modeling, homogenization and nonlocal effects: mathematical and computational issues. Zbl 1481.65263
Du, Qiang; Engquist, Bjorn; Tian, Xiaochuan
2
2020
The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029
Engquist, Björn; Ren, Kui; Yang, Yunan
4
2020
Multiscale modeling, homogenization and nonlocal effects: mathematical and computational issues. Zbl 1481.65263
Du, Qiang; Engquist, Bjorn; Tian, Xiaochuan
2
2020
Near-wall patch representation of wall-bounded turbulence. Zbl 1460.76453
Carney, Sean P.; Engquist, Björn; Moser, Robert D.
1
2020
Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083
Tian, Xiaochuan; Engquist, Björn
3
2019
Seismic imaging and optimal transport. Zbl 1455.86009
Engquist, Bjorn; Yang, Yunan
2
2019
Seismic inversion and the data normalization for optimal transport. Zbl 1436.49049
Engquist, Björn; Yang, Yunan
2
2019
Biomathematical model for simulating abnormal orifice patterns in colonic crypts. Zbl 1425.92025
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Björn
2
2019
Seismic imaging and optimal transport. Zbl 1433.86008
Engquist, Björn; Yang, Yunan
1
2019
Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022
Engquist, Björn; Zhao, Hongkai
18
2018
Numerical methods for multiscale inverse problems. Zbl 1383.65135
Frederick, Christina; Engquist, Björn
5
2017
Optimal transport for seismic full waveform inversion. Zbl 1353.49049
Engquist, Björn; Froese, Brittany D.; Yang, Yunan
18
2016
Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. Zbl 1349.76495
Lee, Yoonsang; Engquist, Bjorn
3
2016
Homogenization model for aberrant crypt foci. Zbl 1382.35217
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn
3
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
6
2015
Encyclopedia of applied and computational mathematics. In 2 volumes. Zbl 1263.65001
1
2015
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
27
2014
Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing
8
2014
Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050
Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard
3
2014
Variable step size multiscale methods for stiff and highly oscillatory dynamical systems. Zbl 1326.65083
Lee, Yoonsang; Engquist, Bjorn
3
2014
Nonuniform sampling and multiscale computation. Zbl 1380.94068
Engquist, Björn; Frederick, Christina
2
2014
A parallel directional fast multipole method. Zbl 1305.78017
Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing
2
2014
A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing
30
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
9
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.
8
2013
A fast algorithm for reiterated homogenization. Zbl 1315.35025
Engquist, Björn; Ying, Lexing
1
2013
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
143
2012
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
16
2012
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013
Tsuji, Paul; Engquist, Bjorn; Ying, Lexing
12
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
11
2012
Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106
Ariel, Gil; Engquist, Björn; Tsai, Yen-Hsi Richard
5
2012
Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Zbl 1229.65003
2
2012
On energy preserving consistent boundary conditions for the Yee scheme in 2D. Zbl 1257.78021
Engquist, B.; Häggblad, J.; Runborg, O.
2
2012
Fast algorithms for high frequency wave propagation. Zbl 1248.65114
Engquist, Björn; Ying, Lexing
1
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
1
2012
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
102
2011
Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037
Engquist, Björn; Ying, Lexing
78
2011
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
22
2011
Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard
5
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.
4
2011
A multiscale method for epitaxial growth. Zbl 1217.82096
Sun, Yi; Caflisch, Russel; Engquist, Bjorn
2
2011
The heterogeneous multiscale methods with application to combustion. Zbl 1380.76098
E, Weinan; Engquist, Björn; Sun, Yi
2
2011
Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103
Engquist, Björn; Ying, Lexing
5
2010
Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. Zbl 1279.65117
Chung, Eric T.; Engquist, Björn
80
2009
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
27
2009
Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019
Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard
20
2009
Highly oscillatory problems. Zbl 1170.37002
20
2009
A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
19
2009
Numerical multiscale methods for coupled oscillators. Zbl 1175.65078
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
6
2009
A reversible multiscale integration method. Zbl 1182.65104
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
4
2009
Multiscale computations for highly oscillatory problems. Zbl 1159.65332
Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard
4
2009
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
32
2008
Finite element heterogeneous multiscale methods with near optimal computational complexity. Zbl 1155.65096
Abdulle, Assyr; Engquist, Bjorn
19
2008
Consistent boundary conditions for the Yee scheme. Zbl 1154.65354
Tornberg, Anna-Karin; Engquist, Björn
6
2008
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
164
2007
Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006
Engquist, Björn; Ying, Lexing
40
2007
On surface radiation conditions for high-frequency wave scattering. Zbl 1139.78004
Atle, Andreas; Engquist, Bjorn
6
2007
Optimal discontinuous Galerkin methods for wave propagation. Zbl 1158.65337
Chung, Eric T.; Engquist, Björn
77
2006
Heterogeneous multiscale methods for interface tracking of combustion fronts. Zbl 1115.80006
Sun, Yi; Engquist, Bjorn
4
2006
A new type of boundary treatment for wave propagation. Zbl 1106.65078
Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P.
3
2006
Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084
Tornberg, Anna-Karin; Engquist, Björn
3
2006
Discretization of Dirac delta functions in level set methods. Zbl 1074.65025
Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard
86
2005
Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075
Engquist, Bjorn; Tsai, Yen-Hsi
50
2005
The heterogeneous multi-scale method for homogenization problems. Zbl 1086.65521
E, Weinan; Engquist, Björn
23
2005
Convergence analysis of fully discrete finite volume methods for Maxwell’s equations in nonhomogeneous media. Zbl 1128.78013
Chung, Eric T.; Engquist, Bjorn
13
2005
Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302
Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn
9
2005
Multiscale methods in science and engineering. Papers presented at the conference, Uppsala, Sweden, January 26–28, 2004. Zbl 1070.65500
1
2005
Multi-scale modeling. Zbl 1103.65145
Engquist, Björn
1
2005
Numerical approximations of singular source terms in differential equations. Zbl 1115.76392
Tornberg, Anna-Karin; Engquist, Björn
120
2004
The heterogeneous multi-scale method. Zbl 1328.74087
E, Weinan; Engquist, Bjorn
1
2004
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
355
2003
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
81
2003
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
49
2003
Multiscale modeling and computation. Zbl 1032.65013
E, Weinan; Engquist, Bjorn
48
2003
The segment projection method for interface tracking. Zbl 1205.76205
Tornberg, Anna-Karin; Engquist, Björn
17
2003
High-frequency wave propagation by the segment projection method. Zbl 0996.78001
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin
31
2002
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
16
2002
A finite element based level-set method for multiphase flows. Zbl 1078.76560
Engquist, Björn; Tornberg, Anna-Karin
1
2002
Projection generated homogenization. Zbl 1015.35012
Engquist, Björn; Runborg, Olof
1
2002
From numerical analysis to computational science. Zbl 1047.65504
Engquist, Björn; Golub, Gene
16
2001
Mathematics unlimited—2001 and beyond. Zbl 0955.00011
3
2001
A finite element based level-set method for multiphase flow applications. Zbl 1060.76578
Tornberg, Anna-Karin; Engquist, Björn
37
2000
Interface tracking in multiphase flows. Zbl 0987.76056
Tornberg, A.-K.; Engquist, B.
15
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
Wavelet-based numerical homogenization. Zbl 0936.65135
Dorobantu, Mihai; Engquist, Björn
36
1998
The convergence rate of finite difference schemes in the presence of shocks. Zbl 0922.76254
Engquist, Bjorn; Sjögreen, Björn
30
1998
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
24
1998
Absorbing boundary conditions for domain decomposition. Zbl 0952.65098
Engquist, Bjorn; Zhao, Hong-Kai
2
1998
Examples of error propagation from discontinuities. Zbl 0948.76052
Engquist, Björn; Sjögreen, Björn
1
1998
Blowup of solutions of the unsteady Prandtl’s equation. Zbl 0908.35099
E, Weinan; Engquist, Bjorn
99
1997
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R.
63
1997
Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients. Zbl 0890.65107
Engquist, Bjorn; Luo, Erding
13
1997
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
49
1996
New coarse grid operators for highly oscillatory coefficient elliptic problems. Zbl 0865.65073
Engquist, Bjorn; Luo, Erding
4
1996
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. Zbl 0836.65099
Fatemi, E.; Engquist, B.; Osher, S.
35
1995
High order shock capturing methods. Zbl 0875.76348
Engquist, Bjorn; Sjogreen, Bjorn
3
1995
Fast wavelet based algorithms for linear evolution equations. Zbl 0851.65060
Engquist, Bjorn; Osher, Stanley; Zhong, Sifen
23
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.
3
1994
Large time behavior and homogenization of solutions of two-dimensional conservation laws. Zbl 0797.35114
Engquist, Bjorn; E, Weinan
13
1993
Numerical methods for oscillatory solutions to hyperbolic problems. Zbl 0801.65084
Engquist, Bjorn; Liu, Jian-Guo
2
1993
...and 24 more Documents
all top 5

Cited by 4,620 Authors

78 Shu, Chi-Wang
71 Chung, Tsz Shun Eric
47 Dumbser, Michael
43 Abdulle, Assyr
39 Engquist, Bjorn E.
35 Qiu, Jianxian
34 Efendiev, Yalchin R.
31 Givoli, Dan
29 Ying, Lexing
28 Osher, Stanley Joel
28 Toro, Eleuterio F.
23 Antoine, Xavier
21 Jin, Shi
21 Leung, Wingtat
20 Amat, Sergio P.
20 Tsai, Yen-Hsi Richard
20 Zhu, Jun
19 Hagstrom, Thomas M.
19 Qian, Jianliang
18 E, Weinan
18 Runborg, Olof
17 Aràndiga, Francesc
17 Grote, Marcus J.
17 Liu, Hailiang
16 Adams, Nikolaus A.
16 Cockburn, Bernardo
16 Gander, Martin Jakob
16 Xu, Kun
15 Munz, Claus-Dieter
14 Guddati, Murthy N.
14 Kurganov, Alexander
14 Nordström, Jan
14 Vasilyeva, Maria V.
14 Zhao, Lina
13 Cui, Junzhi
13 Han, Houde
13 Hesthaven, Jan S.
13 Kreiss, Gunilla
13 Park, Eun-Jae
12 Legoll, Frédéric
12 Lu, Jianfeng
12 Samaey, Giovanni
12 Xiao, Feng
12 Yang, Tong
11 Bao, Weizhu
11 Geuzaine, Christophe A.
11 Ha, Youngsoo
11 Liu, Yingjie
11 Luo, Songting
11 Mulet, Pep
11 Müller, Siegfried
11 Ohlberger, Mario
11 Tadmor, Eitan
10 Beilina, Larisa
10 Bürger, Raimund
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 Nataf, Frédéric
10 Pan, Liang
10 Tornberg, Anna-Karin
10 Wei, Guowei
10 Yang, Haizhao
10 Yang, Zhiqiang
10 Zhao, Hongkai
9 Balsara, Dinshaw S.
9 Cheung, Siu Wun
9 Dehghan Takht Fooladi, Mehdi
9 Deng, Xi
9 Gassner, Gregor J.
9 Gosse, Laurent
9 Hoang, Viet Ha
9 Kim, Changho
9 Kim, Hyea Hyun
9 Mishra, Siddhartha
9 Montecinos, Gino I.
9 Owhadi, Houman
9 Ren, Yuxin
9 Shen, Yiqing
9 Sun, Yi
9 Tavelli, Maurizio
9 Wu, Haijun
9 Yang, Xu
8 Benamou, Jean-David
8 Colonius, Tim
8 Deng, Xiaogang
8 Fjordholm, Ulrik Skre
8 Fu, Shubin
8 Kevrekidis, Ioannis George
8 Li, Guanglian
8 Li, Xiantao
8 Ma, Qiang
8 Roberts, Anthony John
8 Song, Chongmin
8 Turkel, Eli L.
...and 4,520 more Authors
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Cited in 279 Serials

813 Journal of Computational Physics
206 Journal of Scientific Computing
191 Computer Methods in Applied Mechanics and Engineering
166 Computers and Fluids
138 Journal of Computational and Applied Mathematics
98 Applied Numerical Mathematics
88 Multiscale Modeling & Simulation
80 SIAM Journal on Scientific Computing
78 Computers & Mathematics with Applications
78 Mathematics of Computation
63 Applied Mathematics and Computation
56 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
34 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
22 Applied Mathematical Modelling
21 Physica D
20 Advances in Computational Mathematics
20 Computational Geosciences
19 Numerical Algorithms
18 Journal of Fluid Mechanics
18 BIT
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
13 Applied Mathematics Letters
13 Advances in Applied Mathematics and Mechanics
12 Mathematics and Computers in Simulation
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 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 Matematicheskoe Modelirovanie
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 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 International Journal of Numerical Analysis and Modeling
5 Inverse Problems in Science and Engineering
5 Networks and Heterogeneous Media
5 SIAM Journal on Imaging Sciences
5 Science China. Mathematics
4 Advances in Mathematics
4 Japan Journal of Industrial and Applied Mathematics
4 Journal of Elasticity
...and 179 more Serials
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Cited in 44 Fields

2,312 Numerical analysis (65-XX)
1,556 Partial differential equations (35-XX)
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373 Mechanics of deformable solids (74-XX)
225 Optics, electromagnetic theory (78-XX)
115 Geophysics (86-XX)
86 Statistical mechanics, structure of matter (82-XX)
78 Probability theory and stochastic processes (60-XX)
75 Biology and other natural sciences (92-XX)
73 Ordinary differential equations (34-XX)
69 Calculus of variations and optimal control; optimization (49-XX)
58 Classical thermodynamics, heat transfer (80-XX)
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47 Dynamical systems and ergodic theory (37-XX)
44 Quantum theory (81-XX)
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26 Systems theory; control (93-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
23 Operations research, mathematical programming (90-XX)
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