×
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
15 Runborg, Olof
13 Tornberg, Anna-Karin
13 Yang, Yunan
12 Osher, Stanley Joel
12 Ying, Lexing
9 E, Weinan
8 Ariel, Gil
6 Gustafsson, Bertil
5 Froese, Brittany D.
5 Majda, Andrew J.
5 Sjogreen, Bjorn
4 Halpern, Laurence
4 Harten, Ami
4 Lee, Yoonsang
4 Ren, Kui
3 Bamberger, Alain
3 Carney, Sean P.
3 Chakravarthy, Sukumar R.
3 Chung, Tsz Shun Eric
3 de Figueiredo, Isabel Maria Narra
3 Frederick, Christina
3 Holst, Henrik
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 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 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 Dussinger, Milica
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 Mishra, Siddhartha
1 Molinaro, Roberto
1 Moser, Robert D.
1 Nashed, M. Zuhair
1 Natterer, Frank
1 Niordson, Frithiof I. N.
...and 29 more Co-Authors
all top 5

Serials

19 Journal of Computational Physics
11 Communications in Mathematical Sciences
9 Mathematics of Computation
8 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 Lectures in Applied Mathematics
1 London Mathematical Society Lecture Note Series
1 Progress in Scientific Computing
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

127 Publications have been cited 5,325 times in 3,992 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
528
1977
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
416
2003
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
229
1979
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
203
2007
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
176
2012
Numerical approximations of singular source terms in differential equations. Zbl 1115.76392
Tornberg, Anna-Karin; Engquist, Björn
132
2004
Blowup of solutions of the unsteady Prandtl’s equation. Zbl 0908.35099
E, Weinan; Engquist, Bjorn
124
1997
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
119
2011
Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101
Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R.
107
1986
Absorbing boundary conditions for numerical simulation of waves. Zbl 0378.76018
Engquist, Björn; Majda, Andrew
105
1977
One-sided difference approximations for nonlinear conservation laws. Zbl 0469.65067
Engquist, Bjorn; Osher, Stanley
98
1981
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
93
2003
Discretization of Dirac delta functions in level set methods. Zbl 1074.65025
Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard
92
2005
Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. Zbl 1279.65117
Chung, Eric T.; Engquist, Björn
91
2009
Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037
Engquist, Björn; Ying, Lexing
89
2011
Optimal discontinuous Galerkin methods for wave propagation. Zbl 1158.65337
Chung, Eric T.; Engquist, Björn
83
2006
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R.
78
1997
Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075
Engquist, Bjorn; Tsai, Yen-Hsi
62
2005
Multiscale modeling and computation. Zbl 1032.65013
E, Weinan; Engquist, Bjorn
57
2003
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
54
2003
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
51
1996
Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006
Engquist, Björn; Ying, Lexing
50
2007
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
43
2008
Triangle based adaptive stencils for the solution of hyperbolic conservation laws. Zbl 0747.65072
Durlofsky, Louis J.; Engquist, Bjorn; Osher, Stanley
43
1992
Stable and entropy satisfying approximations for transonic flow calculations. Zbl 0438.76051
Engquist, Bjorn; Osher, Stanley
42
1980
Wavelet-based numerical homogenization. Zbl 0936.65135
Dorobantu, Mihai; Engquist, Björn
40
1998
A finite element based level-set method for multiphase flow applications. Zbl 1060.76578
Tornberg, Anna-Karin; Engquist, Björn
40
2000
The convergence rate of finite difference schemes in the presence of shocks. Zbl 0922.76254
Engquist, Bjorn; Sjögreen, 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
A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing
35
2013
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
34
2014
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
33
2009
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
32
1998
High-frequency wave propagation by the segment projection method. Zbl 0996.78001
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin
31
2002
Parabolic wave equation approximations in heterogeneous media. Zbl 0654.35055
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P.
28
1988
Nonlinear filters for efficient shock computation. Zbl 0667.65073
Engquist, Björn; Lötstedt, Per; Sjögreen, Björn
28
1989
Higher order paraxial wave equation approximations in heterogeneous media. Zbl 0654.35056
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P.
27
1988
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
27
2011
Highly oscillatory problems. Zbl 1170.37002
25
2009
Optimal transport for seismic full waveform inversion. Zbl 1353.49049
Engquist, Björn; Froese, Brittany D.; Yang, Yunan
25
2016
A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
25
2009
The heterogeneous multi-scale method for homogenization problems. Zbl 1086.65521
E, Weinan; Engquist, Björn
24
2005
Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022
Engquist, Björn; Zhao, Hongkai
24
2018
Fast wavelet based algorithms for linear evolution equations. Zbl 0851.65060
Engquist, Bjorn; Osher, Stanley; Zhong, Sifen
23
1994
Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019
Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard
22
2009
Finite element heterogeneous multiscale methods with near optimal computational complexity. Zbl 1155.65096
Abdulle, Assyr; Engquist, Bjorn
20
2008
The segment projection method for interface tracking. Zbl 1205.76205
Tornberg, Anna-Karin; Engquist, Björn
19
2003
Wavelet-based numerical homogenization with applications. Zbl 0989.65117
Engquist, Björn; Runborg, Olof
19
2002
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
19
2012
Interface tracking in multiphase flows. Zbl 0987.76056
Tornberg, A.-K.; Engquist, B.
18
2000
From numerical analysis to computational science. Zbl 1047.65504
Engquist, Björn; Golub, Gene
16
2001
Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients. Zbl 0890.65107
Engquist, Bjorn; Luo, Erding
15
1997
Numerical radiation boundary conditions for unsteady transonic flow. Zbl 0467.76056
Engquist, Bjorn; Majda, Andrew
15
1981
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
14
2012
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013
Tsuji, Paul; Engquist, Bjorn; Ying, Lexing
14
2012
Convergence analysis of fully discrete finite volume methods for Maxwell’s equations in nonhomogeneous media. Zbl 1128.78013
Chung, Eric T.; Engquist, Bjorn
14
2005
Large time behavior and homogenization of solutions of two-dimensional conservation laws. Zbl 0797.35114
Engquist, Bjorn; E, Weinan
14
1993
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
13
1999
Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302
Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn
12
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
11
2013
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
10
2015
The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029
Engquist, Björn; Ren, Kui; Yang, Yunan
10
2020
Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing
9
2014
Mathematics unlimited—2001 and beyond. Zbl 0955.00011
8
2001
Numerical multiscale methods for coupled oscillators. Zbl 1175.65078
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
8
2009
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
Particle method approximation of oscillatory solutions to hyperbolic differential equations. Zbl 0675.65093
Engquist, Bjorn; Hou, Thomas Y.
7
1989
On surface radiation conditions for high-frequency wave scattering. Zbl 1139.78004
Atle, Andreas; Engquist, Bjorn
7
2007
Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard
7
2011
Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103
Engquist, Björn; Ying, Lexing
7
2010
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
One-sided difference schemes and transonic flow. Zbl 0432.76052
Engquist, Bjorn; Osher, Stanley
7
1980
Far field boundary conditions for computation over long time. Zbl 0641.65088
Engquist, Björn; Halpern, Laurence
6
1988
Numerical approximation of hyperbolic conservation laws with stiff terms. Zbl 0789.35104
Sjögreen, Björn; Engquist, Björn
6
1991
Heterogeneous multiscale methods for interface tracking of combustion fronts. Zbl 1115.80006
Sun, Yi; Engquist, Bjorn
6
2006
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.
6
2011
Consistent boundary conditions for the Yee scheme. Zbl 1154.65354
Tornberg, Anna-Karin; Engquist, Björn
6
2008
Encyclopedia of applied and computational mathematics. In 2 volumes. Zbl 1263.65001
6
2015
A reversible multiscale integration method. Zbl 1182.65104
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
5
2009
Multiscale computations for highly oscillatory problems. Zbl 1159.65332
Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard
5
2009
New coarse grid operators for highly oscillatory coefficient elliptic problems. Zbl 0865.65073
Engquist, Bjorn; Luo, Erding
5
1996
Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106
Ariel, Gil; Engquist, Björn; Tsai, Yen-Hsi Richard
5
2012
A parallel directional fast multipole method. Zbl 1305.78017
Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing
5
2014
Numerical methods for multiscale inverse problems. Zbl 1383.65135
Frederick, Christina; Engquist, Björn
5
2017
Homogenization model for aberrant crypt foci. Zbl 1382.35217
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn
5
2016
Biomathematical model for simulating abnormal orifice patterns in colonic crypts. Zbl 1425.92025
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Björn
5
2019
Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083
Tian, Xiaochuan; Engquist, Björn
5
2019
Variable step size multiscale methods for stiff and highly oscillatory dynamical systems. Zbl 1326.65083
Lee, Yoonsang; Engquist, Bjorn
5
2014
Multiscale modeling, homogenization and nonlocal effects: mathematical and computational issues. Zbl 1481.65263
Du, Qiang; Engquist, Bjorn; Tian, Xiaochuan
5
2020
Seismic inversion and the data normalization for optimal transport. Zbl 1436.49049
Engquist, Björn; Yang, Yunan
5
2019
A multiscale method for epitaxial growth. Zbl 1217.82096
Sun, Yi; Caflisch, Russel; Engquist, Bjorn
4
2011
Multiphase computations in geometrical optics. Zbl 0963.78004
Engquist, Björn; Runborg, Olof
4
1999
Long-time behaviour of absorbing boundary conditions. Zbl 0711.65085
Engquist, B.; Halpern, L.
4
1990
Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. Zbl 1349.76495
Lee, Yoonsang; Engquist, Bjorn
4
2016
Seismic imaging and optimal transport. Zbl 1455.86009
Engquist, Bjorn; Yang, Yunan
4
2019
Optimal transport based seismic inversion: beyond cycle skipping. Zbl 1505.86012
Engquist, Björn; Yang, Yunan
4
2022
Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084
Tornberg, Anna-Karin; Engquist, Björn
3
2006
Optimal transport based seismic inversion: beyond cycle skipping. Zbl 1505.86012
Engquist, Björn; Yang, Yunan
4
2022
Heterogeneous multiscale methods for rough-wall laminar viscous flow. Zbl 1516.76051
Carney, Sean P.; Engquist, Björn
1
2022
The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029
Engquist, Björn; Ren, Kui; Yang, Yunan
10
2020
Multiscale modeling, homogenization and nonlocal effects: mathematical and computational issues. Zbl 1481.65263
Du, Qiang; Engquist, Bjorn; Tian, Xiaochuan
5
2020
Near-wall patch representation of wall-bounded turbulence. Zbl 1460.76453
Carney, Sean P.; Engquist, Björn; Moser, Robert D.
2
2020
Biomathematical model for simulating abnormal orifice patterns in colonic crypts. Zbl 1425.92025
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Björn
5
2019
Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083
Tian, Xiaochuan; Engquist, Björn
5
2019
Seismic inversion and the data normalization for optimal transport. Zbl 1436.49049
Engquist, Björn; Yang, Yunan
5
2019
Seismic imaging and optimal transport. Zbl 1455.86009
Engquist, Bjorn; Yang, Yunan
4
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
24
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
25
2016
Homogenization model for aberrant crypt foci. Zbl 1382.35217
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn
5
2016
Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. Zbl 1349.76495
Lee, Yoonsang; Engquist, Bjorn
4
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
10
2015
Encyclopedia of applied and computational mathematics. In 2 volumes. Zbl 1263.65001
6
2015
Application of the Wasserstein metric to seismic signals. Zbl 1305.86006
Engquist, Björn; Froese, Brittany D.
34
2014
Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing
9
2014
A parallel directional fast multipole method. Zbl 1305.78017
Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing
5
2014
Variable step size multiscale methods for stiff and highly oscillatory dynamical systems. Zbl 1326.65083
Lee, Yoonsang; Engquist, Bjorn
5
2014
Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050
Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard
3
2014
Nonuniform sampling and multiscale computation. Zbl 1380.94068
Engquist, Björn; Frederick, Christina
3
2014
A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing
35
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
11
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
176
2012
Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149
Engquist, Björn; Holst, Henrik; Runborg, Olof
19
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
14
2012
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013
Tsuji, Paul; Engquist, Bjorn; Ying, Lexing
14
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
Fast algorithms for high frequency wave propagation. Zbl 1248.65114
Engquist, Björn; Ying, Lexing
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
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
119
2011
Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037
Engquist, Björn; Ying, Lexing
89
2011
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
27
2011
Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard
7
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.
6
2011
A multiscale method for epitaxial growth. Zbl 1217.82096
Sun, Yi; Caflisch, Russel; Engquist, Bjorn
4
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
7
2010
Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. Zbl 1279.65117
Chung, Eric T.; Engquist, Björn
91
2009
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
33
2009
Highly oscillatory problems. Zbl 1170.37002
25
2009
A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
25
2009
Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019
Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard
22
2009
Numerical multiscale methods for coupled oscillators. Zbl 1175.65078
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
8
2009
A reversible multiscale integration method. Zbl 1182.65104
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
5
2009
Multiscale computations for highly oscillatory problems. Zbl 1159.65332
Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard
5
2009
Multiscale modeling and simulation in science. Papers based on the presentations at the summer school, Bosön, Stockholm, Sweden, June 2007. Zbl 1155.65003
3
2009
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
43
2008
Finite element heterogeneous multiscale methods with near optimal computational complexity. Zbl 1155.65096
Abdulle, Assyr; Engquist, Bjorn
20
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
203
2007
Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006
Engquist, Björn; Ying, Lexing
50
2007
On surface radiation conditions for high-frequency wave scattering. Zbl 1139.78004
Atle, Andreas; Engquist, Bjorn
7
2007
Optimal discontinuous Galerkin methods for wave propagation. Zbl 1158.65337
Chung, Eric T.; Engquist, Björn
83
2006
Heterogeneous multiscale methods for interface tracking of combustion fronts. Zbl 1115.80006
Sun, Yi; Engquist, Bjorn
6
2006
Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084
Tornberg, Anna-Karin; Engquist, Björn
3
2006
A new type of boundary treatment for wave propagation. Zbl 1106.65078
Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P.
3
2006
Discretization of Dirac delta functions in level set methods. Zbl 1074.65025
Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard
92
2005
Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075
Engquist, Bjorn; Tsai, Yen-Hsi
62
2005
The heterogeneous multi-scale method for homogenization problems. Zbl 1086.65521
E, Weinan; Engquist, Björn
24
2005
Convergence analysis of fully discrete finite volume methods for Maxwell’s equations in nonhomogeneous media. Zbl 1128.78013
Chung, Eric T.; Engquist, Bjorn
14
2005
Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302
Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn
12
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
132
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
416
2003
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
93
2003
Multiscale modeling and computation. Zbl 1032.65013
E, Weinan; Engquist, Bjorn
57
2003
Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085
Tornberg, Anna-Karin; Engquist, Björn
54
2003
The segment projection method for interface tracking. Zbl 1205.76205
Tornberg, Anna-Karin; Engquist, Björn
19
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
19
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
8
2001
A finite element based level-set method for multiphase flow applications. Zbl 1060.76578
Tornberg, Anna-Karin; Engquist, Björn
40
2000
Interface tracking in multiphase flows. Zbl 0987.76056
Tornberg, A.-K.; Engquist, B.
18
2000
A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113
Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof
13
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
40
1998
The convergence rate of finite difference schemes in the presence of shocks. Zbl 0922.76254
Engquist, Bjorn; Sjögreen, Björn
36
1998
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
32
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
124
1997
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R.
78
1997
Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients. Zbl 0890.65107
Engquist, Bjorn; Luo, Erding
15
1997
Multi-phase computations in geometrical optics. Zbl 0947.78001
Engquist, Björn; Runborg, Olof
51
1996
New coarse grid operators for highly oscillatory coefficient elliptic problems. Zbl 0865.65073
Engquist, Bjorn; Luo, Erding
5
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
...and 27 more Documents
all top 5

Cited by 5,336 Authors

83 Shu, Chi-Wang
79 Chung, Tsz Shun Eric
51 Dumbser, Michael
45 Engquist, Bjorn E.
44 Abdulle, Assyr
40 Qiu, Jianxian
38 Efendiev, Yalchin R.
35 Toro, Eleuterio Francisco
31 Givoli, Dan
31 Ying, Lexing
29 Osher, Stanley Joel
25 Antoine, Xavier
25 Leung, Wingtat
25 Zhu, Jun
24 Tsai, Yen-Hsi Richard
23 Jin, Shi
23 Qian, Jianliang
22 Amat Plata, Sergio
22 Runborg, Olof
20 Hagstrom, Thomas M.
20 Zhao, Lina
19 Aràndiga, Francesc
19 E, Weinan
18 Cui, Junzhi
18 Grote, Marcus J.
17 Cockburn, Bernardo
17 Gander, Martin Jakob
17 Liu, Hailiang
17 Munz, Claus-Dieter
17 Xiao, Feng
17 Xu, Kun
16 Adams, Nikolaus A.
16 Kurganov, Alexander
16 Legoll, Frédéric
15 Fu, Lin
15 Hesthaven, Jan S.
15 Nordström, Jan
15 Park, Eun-Jae
15 Vasilyeva, Maria V.
15 Wang, Zhijian
14 Deng, Xi
14 Guddati, Murthy N.
14 Lu, Jianfeng
14 Luo, Songting
14 Sun, Yi
13 Bürger, Raimund
13 Geuzaine, Christophe A.
13 Han, Houde
13 Kreiss, Gunilla
13 Ma, Qiang
13 Montecinos, Gino I.
13 Samaey, Giovanni
13 Tadmor, Eitan
13 Yang, Zhiqiang
12 Beilina, Larisa
12 Le Bris, Claude
12 Mishra, Siddhartha
12 Mulet, Pep
12 Nataf, Frédéric
12 Ohlberger, Mario
12 Ostapenko, Vladimir Viktorovich
12 Yang, Tong
11 Abedian, Rooholah
11 Bao, Weizhu
11 Deng, Xiaogang
11 Donat, Rosa
11 Ha, Youngsoo
11 Henning, Patrick
11 Hou, Thomas Yizhao
11 Joly, Patrick
11 Liu, Cheng-Jie
11 Liu, Yingjie
11 Müller, Siegfried
11 Pan, Liang
11 Shen, Yiqing
11 Wu, Haijun
11 Yang, Haizhao
10 Balsara, Dinshaw S.
10 Cheung, Siu Wun
10 Gassner, Gregor J.
10 Halpern, Laurence
10 Li, Ruo
10 Li, Xiantao
10 Ren, Yuxin
10 Tavelli, Maurizio
10 Tornberg, Anna-Karin
10 Valentin, Frédéric
10 Wei, Guowei
10 Zhao, Hongkai
9 Arjmand, Doghonay
9 Colonius, Tim
9 Dehghan Takht Fooladi, Mehdi
9 Demanet, Laurent
9 Ehrhardt, Matthias
9 Fu, Shubin
9 Gosse, Laurent
9 Hidalgo, Arturo
9 Hoang, Viet Ha
9 Jiang, Lijian
9 Kim, Changho
...and 5,236 more Authors
all top 5

Cited in 315 Serials

892 Journal of Computational Physics
225 Journal of Scientific Computing
215 Computer Methods in Applied Mechanics and Engineering
181 Computers and Fluids
144 Journal of Computational and Applied Mathematics
105 Multiscale Modeling & Simulation
100 Applied Numerical Mathematics
95 SIAM Journal on Scientific Computing
93 Computers & Mathematics with Applications
79 Mathematics of Computation
70 Applied Mathematics and Computation
64 Communications in Computational Physics
53 International Journal for Numerical Methods in Engineering
53 Numerische Mathematik
49 SIAM Journal on Numerical Analysis
45 Wave Motion
40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
36 International Journal for Numerical Methods in Fluids
33 Computational Mechanics
31 International Journal of Computational Fluid Dynamics
30 Numerical Methods for Partial Differential Equations
26 Applied Mathematical Modelling
24 Computer Physics Communications
23 Numerical Algorithms
22 Journal of Fluid Mechanics
22 BIT
22 Physica D
22 Advances in Computational Mathematics
22 Computational Geosciences
20 Journal of Differential Equations
19 Engineering Analysis with Boundary Elements
19 Advances in Applied Mathematics and Mechanics
18 Archive for Rational Mechanics and Analysis
18 Inverse Problems
17 Journal of Mathematical Analysis and Applications
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Communications on Applied Mathematics and Computation
15 Communications on Pure and Applied Mathematics
15 Applied Mathematics Letters
14 Mathematics and Computers in Simulation
14 International Journal of Computational Methods
13 International Journal of Computer Mathematics
12 Foundations of Computational Mathematics
11 Mathematical Methods in the Applied Sciences
11 Discrete and Continuous Dynamical Systems
11 Acta Numerica
11 Discrete and Continuous Dynamical Systems. Series S
10 Mathematical and Computer Modelling
10 SIAM Journal on Mathematical Analysis
10 Applied and Computational Harmonic Analysis
10 Numerical Linear Algebra with Applications
10 Computational and Applied Mathematics
10 Mathematical Problems in Engineering
10 Communications in Nonlinear Science and Numerical Simulation
10 Living Reviews in Relativity
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Journal of Computational Acoustics
10 Research in the Mathematical Sciences
9 Communications in Numerical Methods in Engineering
9 Physics of Fluids
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 Matematicheskoe Modelirovanie
9 Archives of Computational Methods in Engineering
9 Computational Methods in Applied Mathematics
8 Journal of Engineering Mathematics
8 Journal of Mathematical Physics
8 RAIRO. Modélisation Mathématique et Analyse Numérique
8 SIAM Journal on Matrix Analysis and Applications
8 SIAM Journal on Applied Mathematics
8 Acta Mechanica Sinica
8 The Annals of Applied Statistics
7 Applicable Analysis
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 ETNA. Electronic Transactions on Numerical Analysis
7 Discrete and Continuous Dynamical Systems. Series B
7 International Journal of Numerical Analysis and Modeling
7 Networks and Heterogeneous Media
7 Numerical Mathematics: Theory, Methods and Applications
7 Science China. Mathematics
7 International Journal for Numerical Methods in Biomedical Engineering
7 SIAM/ASA Journal on Uncertainty Quantification
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Applied Mathematics and Mechanics. (English Edition)
6 Chinese Annals of Mathematics. Series B
6 Statistical Science
6 Computational Mathematics and Mathematical Physics
6 Communications in Partial Differential Equations
6 Lobachevskii Journal of Mathematics
6 SIAM Journal on Applied Dynamical Systems
6 Oberwolfach Reports
6 SIAM Journal on Imaging Sciences
6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Bulletin of Mathematical Biology
5 Journal of Computational Mathematics
5 Acta Mathematicae Applicatae Sinica. English Series
5 Japan Journal of Industrial and Applied Mathematics
5 SIAM Review
5 International Journal of Numerical Methods for Heat & Fluid Flow
...and 215 more Serials
all top 5

Cited in 48 Fields

2,710 Numerical analysis (65-XX)
1,824 Partial differential equations (35-XX)
1,567 Fluid mechanics (76-XX)
438 Mechanics of deformable solids (74-XX)
251 Optics, electromagnetic theory (78-XX)
127 Geophysics (86-XX)
102 Statistical mechanics, structure of matter (82-XX)
94 Probability theory and stochastic processes (60-XX)
89 Biology and other natural sciences (92-XX)
86 Ordinary differential equations (34-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
67 Classical thermodynamics, heat transfer (80-XX)
61 Computer science (68-XX)
58 Dynamical systems and ergodic theory (37-XX)
57 Approximations and expansions (41-XX)
56 Quantum theory (81-XX)
46 Statistics (62-XX)
37 Information and communication theory, circuits (94-XX)
36 Mechanics of particles and systems (70-XX)
28 Operations research, mathematical programming (90-XX)
28 Systems theory; control (93-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
23 Integral equations (45-XX)
22 Operator theory (47-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
21 Relativity and gravitational theory (83-XX)
16 Functional analysis (46-XX)
15 Global analysis, analysis on manifolds (58-XX)
13 Integral transforms, operational calculus (44-XX)
12 Special functions (33-XX)
11 Real functions (26-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 General and overarching topics; collections (00-XX)
10 Astronomy and astrophysics (85-XX)
9 Differential geometry (53-XX)
7 Potential theory (31-XX)
5 History and biography (01-XX)
5 Combinatorics (05-XX)
5 Functions of a complex variable (30-XX)
3 Measure and integration (28-XX)
3 Difference and functional equations (39-XX)
2 Geometry (51-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.