Edit Profile (opens in new tab) Engquist, Bjorn E. Co-Author Distance 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: 146 Publications since 1970, including 1 Book and 9 Additional arXiv Preprints 18 Contributions as Editor · 1 Further Contribution Co-Authors: 94 Co-Authors with 157 Joint Publications 3,457 Co-Co-Authors 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 all top 5 Fields 130 Numerical analysis (65-XX) 78 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 19 General and overarching topics; collections (00-XX) 17 Ordinary differential equations (34-XX) 16 Optics, electromagnetic theory (78-XX) 15 Mechanics of deformable solids (74-XX) 13 Geophysics (86-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 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) 2 Operations research, mathematical programming (90-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) Publications by Year all cited Publications top 5 cited Publications 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 1,047 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 cited Publications top 5 cited Publications 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. 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