Edit Profile (opens in new tab) Engquist, Bjorn E. Compute Distance To: Compute Author ID: engquist.bjorn-e Published as: Engquist, Björn; Engquist, Bjorn; Engquist, B.; Engquist, Bjorn E.; Engquist, B. E. more...less Homepage: http://www.ma.utexas.edu/text/webpages/engquist.html External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 135 Publications since 1970, including 1 Book 18 Contributions as Editor · 1 Further Contribution Co-Authors: 90 Co-Authors with 146 Joint Publications 3,036 Co-Co-Authors 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 all top 5 Fields 125 Numerical analysis (65-XX) 78 Partial differential equations (35-XX) 41 Fluid mechanics (76-XX) 19 General and overarching topics; collections (00-XX) 16 Ordinary differential equations (34-XX) 16 Optics, electromagnetic theory (78-XX) 15 Mechanics of deformable solids (74-XX) 12 Geophysics (86-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 4,715 times in 3,554 Documents Cited by ▼ Year ▼ Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar 937 1987 Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051Engquist, Bjorn; Majda, Andrew 496 1977 The heterogeneous multiscale methods. Zbl 1093.35012E, Weinan; Engquist, Bjorn 364 2003 Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070Engquist, Bjorn; Majda, Andrew 218 1979 Heterogeneous multiscale methods: a review. Zbl 1164.65496E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric 167 2007 The heterogeneous multiscale method. Zbl 1255.65224Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric 147 2012 Numerical approximations of singular source terms in differential equations. Zbl 1115.76392Tornberg, Anna-Karin; Engquist, Björn 121 2004 Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234Engquist, Björn; Ying, Lexing 106 2011 Blowup of solutions of the unsteady Prandtl’s equation. Zbl 0908.35099E, Weinan; Engquist, Bjorn 102 1997 Some results on uniformly high-order accurate essentially nonoscillatory schemes. Zbl 0627.65101Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R. 94 1986 One-sided difference approximations for nonlinear conservation laws. Zbl 0469.65067Engquist, Bjorn; Osher, Stanley 90 1981 Discretization of Dirac delta functions in level set methods. Zbl 1074.65025Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard 87 2005 Absorbing boundary conditions for numerical simulation of waves. Zbl 0378.76018Engquist, Björn; Majda, Andrew 84 1977 Computational high frequency wave propagation. Zbl 1049.65098Engquist, Björn; Runborg, Olof 83 2003 Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. Zbl 1279.65117Chung, Eric T.; Engquist, Björn 82 2009 Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037Engquist, Björn; Ying, Lexing 80 2011 Optimal discontinuous Galerkin methods for wave propagation. Zbl 1158.65337Chung, Eric T.; Engquist, Björn 77 2006 Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R. 65 1997 Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075Engquist, Bjorn; Tsai, Yen-Hsi 53 2005 Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085Tornberg, Anna-Karin; Engquist, Björn 50 2003 Multi-phase computations in geometrical optics. Zbl 0947.78001Engquist, Björn; Runborg, Olof 49 1996 Multiscale modeling and computation. Zbl 1032.65013E, Weinan; Engquist, Bjorn 48 2003 Triangle based adaptive stencils for the solution of hyperbolic conservation laws. Zbl 0747.65072Durlofsky, Louis J.; Engquist, Bjorn; Osher, Stanley 43 1992 Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006Engquist, Björn; Ying, Lexing 41 2007 Stable and entropy satisfying approximations for transonic flow calculations. Zbl 0438.76051Engquist, Bjorn; Osher, Stanley 39 1980 A finite element based level-set method for multiphase flow applications. Zbl 1060.76578Tornberg, Anna-Karin; Engquist, Björn 37 2000 Wavelet-based numerical homogenization. Zbl 0936.65135Dorobantu, Mihai; Engquist, Björn 36 1998 Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. Zbl 0836.65099Fatemi, E.; Engquist, B.; Osher, S. 35 1995 Asymptotic and numerical homogenization. Zbl 1179.65142Engquist, B.; Souganidis, P. E. 33 2008 High-frequency wave propagation by the segment projection method. Zbl 0996.78001Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin 31 2002 The convergence rate of finite difference schemes in the presence of shocks. Zbl 0922.76254Engquist, Bjorn; Sjögreen, Björn 31 1998 A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing 31 2013 Application of the Wasserstein metric to seismic signals. Zbl 1305.86006Engquist, Björn; Froese, Brittany D. 29 2014 A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178Engquist, Björn; Ying, Lexing 28 2009 Parabolic wave equation approximations in heterogeneous media. Zbl 0654.35055Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P. 26 1988 Nonlinear filters for efficient shock computation. Zbl 0667.65073Engquist, Björn; Lötstedt, Per; Sjögreen, Björn 26 1989 Higher order paraxial wave equation approximations in heterogeneous media. Zbl 0654.35056Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P. 24 1988 Absorbing boundary conditions for domain decomposition. Zbl 0935.65135Engquist, Bjorn; Zhao, Hong-Kai 24 1998 The heterogeneous multi-scale method for homogenization problems. Zbl 1086.65521E, Weinan; Engquist, Björn 23 2005 Fast wavelet based algorithms for linear evolution equations. Zbl 0851.65060Engquist, Bjorn; Osher, Stanley; Zhong, Sifen 23 1994 Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110Engquist, Björn; Holst, Henrik; Runborg, Olof 23 2011 A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110Ariel, Gil; Engquist, Bjorn; Tsai, Richard 21 2009 Highly oscillatory problems. Zbl 1170.37002 20 2009 Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard 20 2009 Optimal transport for seismic full waveform inversion. Zbl 1353.49049Engquist, Björn; Froese, Brittany D.; Yang, Yunan 20 2016 Finite element heterogeneous multiscale methods with near optimal computational complexity. Zbl 1155.65096Abdulle, Assyr; Engquist, Bjorn 19 2008 Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022Engquist, Björn; Zhao, Hongkai 18 2018 The segment projection method for interface tracking. Zbl 1205.76205Tornberg, Anna-Karin; Engquist, Björn 17 2003 Interface tracking in multiphase flows. Zbl 0987.76056Tornberg, A.-K.; Engquist, B. 17 2000 From numerical analysis to computational science. Zbl 1047.65504Engquist, Björn; Golub, Gene 16 2001 Wavelet-based numerical homogenization with applications. Zbl 0989.65117Engquist, Björn; Runborg, Olof 16 2002 Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149Engquist, Björn; Holst, Henrik; Runborg, Olof 16 2012 Numerical radiation boundary conditions for unsteady transonic flow. Zbl 0467.76056Engquist, Bjorn; Majda, Andrew 15 1981 Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients. Zbl 0890.65107Engquist, Bjorn; Luo, Erding 14 1997 Large time behavior and homogenization of solutions of two-dimensional conservation laws. Zbl 0797.35114Engquist, Bjorn; E, Weinan 13 1993 Steady state computations for wave propagation problems. Zbl 0632.65099Engquist, Björn; Gustafsson, Bertil 13 1987 Convergence analysis of fully discrete finite volume methods for Maxwell’s equations in nonhomogeneous media. Zbl 1128.78013Chung, Eric T.; Engquist, Bjorn 13 2005 A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013Tsuji, Paul; Engquist, Bjorn; Ying, Lexing 13 2012 A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof 12 1999 A multiscale method coupling network and continuum models in porous media. I: Steady-state single phase flow. Zbl 1428.76115Chu, Jay; Engquist, Björn; Prodanović, Maša; Tsai, Richard 12 2012 Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn 9 2005 Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Zbl 1349.65287Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard 9 2013 Particle method approximation of oscillatory solutions to hyperbolic differential equations. Zbl 0675.65093Engquist, Bjorn; Hou, Thomas Y. 8 1989 Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing 8 2014 A multiscale method for highly oscillatory dynamical systems using a Poincaré map type technique. Zbl 1263.65067Ariel, G.; Engquist, B.; Kim, S.; Lee, Y.; Tsai, R. 8 2013 One-sided difference schemes and transonic flow. Zbl 0432.76052Engquist, Bjorn; Osher, Stanley 7 1980 Backward differentiation approximations of nonlinear differential/algebraic systems. Zbl 0699.65058Brenan, Kathryn E.; Engquist, Bjorn E. 7 1988 Supplement to “Backward differentiation approximations of nonlinear differential/algebraic systems”. Zbl 0699.65059Brenan, Kathryn E.; Engquist, Bjorn E. 7 1988 Numerical approximation of hyperbolic conservation laws with stiff terms. Zbl 0789.35104Sjögreen, Björn; Engquist, Björn 6 1991 On surface radiation conditions for high-frequency wave scattering. Zbl 1139.78004Atle, Andreas; Engquist, Bjorn 6 2007 Numerical multiscale methods for coupled oscillators. Zbl 1175.65078Ariel, Gil; Engquist, Bjorn; Tsai, Richard 6 2009 Far field boundary conditions for computation over long time. Zbl 0641.65088Engquist, Björn; Halpern, Laurence 6 1988 Consistent boundary conditions for the Yee scheme. Zbl 1154.65354Tornberg, Anna-Karin; Engquist, Björn 6 2008 Fast sweeping methods for hyperbolic systems of conservation laws at steady state. II. Zbl 1352.65235Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard 6 2015 Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103Engquist, Björn; Ying, Lexing 6 2010 New coarse grid operators for highly oscillatory coefficient elliptic problems. Zbl 0865.65073Engquist, Bjorn; Luo, Erding 5 1996 Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard 5 2011 Numerical methods for multiscale inverse problems. Zbl 1383.65135Frederick, Christina; Engquist, Björn 5 2017 Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106Ariel, Gil; Engquist, Björn; Tsai, Yen-Hsi Richard 5 2012 A reversible multiscale integration method. Zbl 1182.65104Ariel, Gil; Engquist, Bjorn; Tsai, Richard 4 2009 Multiphase computations in geometrical optics. Zbl 0963.78004Engquist, Björn; Runborg, Olof 4 1999 Multiscale computations for highly oscillatory problems. Zbl 1159.65332Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard 4 2009 Heterogeneous multiscale methods for interface tracking of combustion fronts. Zbl 1115.80006Sun, Yi; Engquist, Bjorn 4 2006 Long-time behaviour of absorbing boundary conditions. Zbl 0711.65085Engquist, B.; Halpern, L. 4 1990 A convection-diffusion-shape model for aberrant colonic crypt morphogenesis. Zbl 1238.92018Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn; Figueiredo, Pedro N. 4 2011 The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029Engquist, Björn; Ren, Kui; Yang, Yunan 4 2020 Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083Tian, Xiaochuan; Engquist, Björn 3 2019 Mathematics unlimited—2001 and beyond. Zbl 0955.00011 3 2001 High order shock capturing methods. Zbl 0875.76348Engquist, Bjorn; Sjogreen, Bjorn 3 1995 Numerical simulations of high-speed chemically reacting flow. Zbl 0808.76062Ton, V. T.; Karagozian, A. R.; Marble, F. E.; Osher, S. J.; Engquist, B. E. 3 1994 Variable step size multiscale methods for stiff and highly oscillatory dynamical systems. Zbl 1326.65083Lee, Yoonsang; Engquist, Bjorn 3 2014 A new type of boundary treatment for wave propagation. Zbl 1106.65078Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P. 3 2006 Nonuniform sampling and multiscale computation. Zbl 1380.94068Engquist, Björn; Frederick, Christina 3 2014 Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard 3 2014 Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. Zbl 1349.76495Lee, Yoonsang; Engquist, Bjorn 3 2016 Biomathematical model for simulating abnormal orifice patterns in colonic crypts. Zbl 1425.92025Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Björn 3 2019 Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084Tornberg, Anna-Karin; Engquist, Björn 3 2006 Homogenization model for aberrant crypt foci. Zbl 1382.35217Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn 3 2016 Numerical methods for oscillatory solutions to hyperbolic problems. Zbl 0801.65084Engquist, Bjorn; Liu, Jian-Guo 2 1993 Seismic imaging and optimal transport. Zbl 1455.86009Engquist, Bjorn; Yang, Yunan 2 2019 The quadratic Wasserstein metric for inverse data matching. Zbl 1465.49029Engquist, Björn; Ren, Kui; Yang, Yunan 4 2020 Near-wall patch representation of wall-bounded turbulence. Zbl 1460.76453Carney, Sean P.; Engquist, Björn; Moser, Robert D. 2 2020 Multiscale modeling, homogenization and nonlocal effects: mathematical and computational issues. Zbl 1481.65263Du, Qiang; Engquist, Bjorn; Tian, Xiaochuan 2 2020 Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083Tian, Xiaochuan; Engquist, Björn 3 2019 Biomathematical model for simulating abnormal orifice patterns in colonic crypts. Zbl 1425.92025Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Björn 3 2019 Seismic imaging and optimal transport. Zbl 1455.86009Engquist, Bjorn; Yang, Yunan 2 2019 Seismic inversion and the data normalization for optimal transport. Zbl 1436.49049Engquist, Björn; Yang, Yunan 2 2019 Seismic imaging and optimal transport. Zbl 1433.86008Engquist, Björn; Yang, Yunan 1 2019 Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022Engquist, Björn; Zhao, Hongkai 18 2018 Numerical methods for multiscale inverse problems. Zbl 1383.65135Frederick, Christina; Engquist, Björn 5 2017 Optimal transport for seismic full waveform inversion. Zbl 1353.49049Engquist, Björn; Froese, Brittany D.; Yang, Yunan 20 2016 Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. Zbl 1349.76495Lee, Yoonsang; Engquist, Bjorn 3 2016 Homogenization model for aberrant crypt foci. Zbl 1382.35217Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn 3 2016 Fast sweeping methods for hyperbolic systems of conservation laws at steady state. II. Zbl 1352.65235Engquist, 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 1305.86006Engquist, Björn; Froese, Brittany D. 29 2014 Sweeping preconditioners for elastic wave propagation with spectral element methods. Zbl 1423.74950Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing 8 2014 Variable step size multiscale methods for stiff and highly oscillatory dynamical systems. Zbl 1326.65083Lee, Yoonsang; Engquist, Bjorn 3 2014 Nonuniform sampling and multiscale computation. Zbl 1380.94068Engquist, Björn; Frederick, Christina 3 2014 Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard 3 2014 A parallel directional fast multipole method. Zbl 1305.78017Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing 2 2014 A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. Zbl 1275.65073Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing 31 2013 Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Zbl 1349.65287Engquist, 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 1263.65067Ariel, G.; Engquist, B.; Kim, S.; Lee, Y.; Tsai, R. 8 2013 A fast algorithm for reiterated homogenization. Zbl 1315.35025Engquist, Björn; Ying, Lexing 1 2013 The heterogeneous multiscale method. Zbl 1255.65224Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric 147 2012 Multiscale methods for wave propagation in heterogeneous media over long time. Zbl 1246.65149Engquist, Björn; Holst, Henrik; Runborg, Olof 16 2012 A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. Zbl 1251.78013Tsuji, Paul; Engquist, Bjorn; Ying, Lexing 13 2012 A multiscale method coupling network and continuum models in porous media. I: Steady-state single phase flow. Zbl 1428.76115Chu, Jay; Engquist, Björn; Prodanović, Maša; Tsai, Richard 12 2012 Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106Ariel, 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 1257.78021Engquist, B.; Häggblad, J.; Runborg, O. 2 2012 A coupled finite difference-Gaussian beam method for high frequency wave propagation. Zbl 1246.65154Tanushev, Nicolay M.; Tsai, Yen-Hsi Richard; Engquist, Björn 1 2012 Fast algorithms for high frequency wave propagation. Zbl 1248.65114Engquist, Björn; Ying, Lexing 1 2012 Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234Engquist, Björn; Ying, Lexing 106 2011 Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. Zbl 1229.35037Engquist, Björn; Ying, Lexing 80 2011 Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110Engquist, Björn; Holst, Henrik; Runborg, Olof 23 2011 Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard 5 2011 A convection-diffusion-shape model for aberrant colonic crypt morphogenesis. Zbl 1238.92018Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn; Figueiredo, Pedro N. 4 2011 A multiscale method for epitaxial growth. Zbl 1217.82096Sun, Yi; Caflisch, Russel; Engquist, Bjorn 2 2011 The heterogeneous multiscale methods with application to combustion. Zbl 1380.76098E, Weinan; Engquist, Björn; Sun, Yi 2 2011 Fast directional algorithms for the Helmholtz kernel. Zbl 1379.65103Engquist, Björn; Ying, Lexing 6 2010 Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. Zbl 1279.65117Chung, Eric T.; Engquist, Björn 82 2009 A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178Engquist, Björn; Ying, Lexing 28 2009 A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110Ariel, Gil; Engquist, Bjorn; Tsai, Richard 21 2009 Highly oscillatory problems. Zbl 1170.37002 20 2009 Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard 20 2009 Numerical multiscale methods for coupled oscillators. Zbl 1175.65078Ariel, Gil; Engquist, Bjorn; Tsai, Richard 6 2009 A reversible multiscale integration method. Zbl 1182.65104Ariel, Gil; Engquist, Bjorn; Tsai, Richard 4 2009 Multiscale computations for highly oscillatory problems. Zbl 1159.65332Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard 4 2009 Asymptotic and numerical homogenization. Zbl 1179.65142Engquist, B.; Souganidis, P. E. 33 2008 Finite element heterogeneous multiscale methods with near optimal computational complexity. Zbl 1155.65096Abdulle, Assyr; Engquist, Bjorn 19 2008 Consistent boundary conditions for the Yee scheme. Zbl 1154.65354Tornberg, Anna-Karin; Engquist, Björn 6 2008 Heterogeneous multiscale methods: a review. Zbl 1164.65496E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric 167 2007 Fast directional multilevel algorithms for oscillatory kernels. Zbl 1180.65006Engquist, Björn; Ying, Lexing 41 2007 On surface radiation conditions for high-frequency wave scattering. Zbl 1139.78004Atle, Andreas; Engquist, Bjorn 6 2007 Optimal discontinuous Galerkin methods for wave propagation. Zbl 1158.65337Chung, Eric T.; Engquist, Björn 77 2006 Heterogeneous multiscale methods for interface tracking of combustion fronts. Zbl 1115.80006Sun, Yi; Engquist, Bjorn 4 2006 A new type of boundary treatment for wave propagation. Zbl 1106.65078Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P. 3 2006 Regularization for accurate numerical wave propagation in discontinuous media. Zbl 1136.65084Tornberg, Anna-Karin; Engquist, Björn 3 2006 Discretization of Dirac delta functions in level set methods. Zbl 1074.65025Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard 87 2005 Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075Engquist, Bjorn; Tsai, Yen-Hsi 53 2005 The heterogeneous multi-scale method for homogenization problems. Zbl 1086.65521E, Weinan; Engquist, Björn 23 2005 Convergence analysis of fully discrete finite volume methods for Maxwell’s equations in nonhomogeneous media. Zbl 1128.78013Chung, Eric T.; Engquist, Bjorn 13 2005 Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302Sharp, 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 1103.65145Engquist, Björn 1 2005 Numerical approximations of singular source terms in differential equations. Zbl 1115.76392Tornberg, Anna-Karin; Engquist, Björn 121 2004 The heterogeneous multi-scale method. Zbl 1328.74087E, Weinan; Engquist, Bjorn 1 2004 The heterogeneous multiscale methods. Zbl 1093.35012E, Weinan; Engquist, Bjorn 364 2003 Computational high frequency wave propagation. Zbl 1049.65098Engquist, Björn; Runborg, Olof 83 2003 Regularization techniques for numerical approximation of PDEs with singularities. Zbl 1035.65085Tornberg, Anna-Karin; Engquist, Björn 50 2003 Multiscale modeling and computation. Zbl 1032.65013E, Weinan; Engquist, Bjorn 48 2003 The segment projection method for interface tracking. Zbl 1205.76205Tornberg, Anna-Karin; Engquist, Björn 17 2003 High-frequency wave propagation by the segment projection method. Zbl 0996.78001Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin 31 2002 Wavelet-based numerical homogenization with applications. Zbl 0989.65117Engquist, Björn; Runborg, Olof 16 2002 Projection generated homogenization. Zbl 1015.35012Engquist, Björn; Runborg, Olof 1 2002 A finite element based level-set method for multiphase flows. Zbl 1078.76560Engquist, Björn; Tornberg, Anna-Karin 1 2002 From numerical analysis to computational science. Zbl 1047.65504Engquist, 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 1060.76578Tornberg, Anna-Karin; Engquist, Björn 37 2000 Interface tracking in multiphase flows. Zbl 0987.76056Tornberg, A.-K.; Engquist, B. 17 2000 A contribution to wavelet-bases subgrid modeling. Zbl 0937.65113Andersson, Ulf; Engquist, Björn; Ledfelt, Gunnar; Runborg, Olof 12 1999 Multiphase computations in geometrical optics. Zbl 0963.78004Engquist, Björn; Runborg, Olof 4 1999 Wavelet-based numerical homogenization. Zbl 0936.65135Dorobantu, Mihai; Engquist, Björn 36 1998 The convergence rate of finite difference schemes in the presence of shocks. Zbl 0922.76254Engquist, Bjorn; Sjögreen, Björn 31 1998 Absorbing boundary conditions for domain decomposition. Zbl 0935.65135Engquist, Bjorn; Zhao, Hong-Kai 24 1998 Absorbing boundary conditions for domain decomposition. Zbl 0952.65098Engquist, Bjorn; Zhao, Hong-Kai 2 1998 Examples of error propagation from discontinuities. Zbl 0948.76052Engquist, Björn; Sjögreen, Björn 1 1998 Blowup of solutions of the unsteady Prandtl’s equation. Zbl 0908.35099E, Weinan; Engquist, Bjorn 102 1997 Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). Zbl 0866.65058Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R. 65 1997 Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients. Zbl 0890.65107Engquist, Bjorn; Luo, Erding 14 1997 Multi-phase computations in geometrical optics. Zbl 0947.78001Engquist, Björn; Runborg, Olof 49 1996 New coarse grid operators for highly oscillatory coefficient elliptic problems. Zbl 0865.65073Engquist, Bjorn; Luo, Erding 5 1996 Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. Zbl 0836.65099Fatemi, E.; Engquist, B.; Osher, S. 35 1995 High order shock capturing methods. Zbl 0875.76348Engquist, Bjorn; Sjogreen, Bjorn 3 1995 Fast wavelet based algorithms for linear evolution equations. Zbl 0851.65060Engquist, Bjorn; Osher, Stanley; Zhong, Sifen 23 1994 Numerical simulations of high-speed chemically reacting flow. Zbl 0808.76062Ton, 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 0797.35114Engquist, Bjorn; E, Weinan 13 1993 Numerical methods for oscillatory solutions to hyperbolic problems. Zbl 0801.65084Engquist, Bjorn; Liu, Jian-Guo 2 1993 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,718 Authors 79 Shu, Chi-Wang 71 Chung, Tsz Shun Eric 47 Dumbser, Michael 43 Abdulle, Assyr 39 Engquist, Bjorn E. 36 Qiu, Jianxian 35 Efendiev, Yalchin R. 31 Givoli, Dan 29 Osher, Stanley Joel 29 Toro, Eleuterio Francisco 29 Ying, Lexing 23 Antoine, Xavier 23 Leung, Wingtat 21 Jin, Shi 21 Zhu, Jun 20 Amat, Sergio P. 20 Runborg, Olof 20 Tsai, Yen-Hsi Richard 19 Hagstrom, Thomas M. 19 Qian, Jianliang 18 E, Weinan 18 Grote, Marcus J. 17 Aràndiga, Francesc 17 Liu, Hailiang 17 Xu, Kun 16 Adams, Nikolaus A. 16 Cockburn, Bernardo 16 Gander, Martin Jakob 15 Munz, Claus-Dieter 15 Wang, Zhijian 15 Zhao, Lina 14 Guddati, Murthy N. 14 Kurganov, Alexander 14 Nordström, Jan 14 Vasilyeva, Maria V. 13 Cui, Junzhi 13 Han, Houde 13 Hesthaven, Jan S. 13 Kreiss, Gunilla 13 Park, Eun-Jae 13 Xiao, Feng 12 Legoll, Frédéric 12 Lu, Jianfeng 12 Luo, Songting 12 Samaey, Giovanni 12 Yang, Tong 11 Bao, Weizhu 11 Beilina, Larisa 11 Geuzaine, Christophe A. 11 Ha, Youngsoo 11 Liu, Yingjie 11 Mulet, Pep 11 Müller, Siegfried 11 Ohlberger, Mario 11 Tadmor, Eitan 10 Bürger, Raimund 10 Deng, Xi 10 Donat, Rosa 10 Fu, Lin 10 Halpern, Laurence 10 Henning, Patrick 10 Hou, Thomas Yizhao 10 Joly, Patrick 10 Le Bris, Claude 10 Liu, Cheng-Jie 10 Mishra, Siddhartha 10 Nataf, Frédéric 10 Pan, Liang 10 Tornberg, Anna-Karin 10 Wei, Guowei 10 Wu, Haijun 10 Yang, Haizhao 10 Yang, Zhiqiang 10 Zhao, Hongkai 9 Balsara, Dinshaw S. 9 Cheung, Siu Wun 9 Dehghan Takht Fooladi, Mehdi 9 Gassner, Gregor J. 9 Gosse, Laurent 9 Hoang, Viet Ha 9 Kim, Changho 9 Kim, Hyea Hyun 9 Montecinos, Gino I. 9 Ostapenko, Vladimir Viktorovich 9 Owhadi, Houman 9 Ren, Yuxin 9 Shen, Yiqing 9 Sun, Yi 9 Tavelli, Maurizio 9 Yang, Xu 8 Benamou, Jean-David 8 Colonius, Tim 8 Deng, Xiaogang 8 Fjordholm, Ulrik Skre 8 Fu, Shubin 8 Graham, Ivan G. 8 Kevrekidis, Ioannis George 8 Li, Guanglian 8 Li, Xiantao 8 Ma, Qiang ...and 4,618 more Authors all top 5 Cited in 285 Serials 821 Journal of Computational Physics 212 Journal of Scientific Computing 193 Computer Methods in Applied Mechanics and Engineering 169 Computers and Fluids 138 Journal of Computational and Applied Mathematics 98 Applied Numerical Mathematics 89 Multiscale Modeling & Simulation 83 SIAM Journal on Scientific Computing 80 Computers & Mathematics with Applications 79 Mathematics of Computation 63 Applied Mathematics and Computation 58 Communications in Computational Physics 52 Numerische Mathematik 48 International Journal for Numerical Methods in Engineering 43 Wave Motion 40 SIAM Journal on Numerical Analysis 36 International Journal for Numerical Methods in Fluids 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 30 Computational Mechanics 26 International Journal of Computational Fluid Dynamics 23 Numerical Methods for Partial Differential Equations 23 Applied Mathematical Modelling 21 BIT 21 Physica D 21 Advances in Computational Mathematics 20 Numerical Algorithms 20 Computational Geosciences 19 Journal of Fluid Mechanics 18 Engineering Analysis with Boundary Elements 17 Archive for Rational Mechanics and Analysis 17 Journal of Mathematical Analysis and Applications 17 Journal of Differential Equations 17 M\(^3\)AS. 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Mathematics 5 S\(\vec{\text{e}}\)MA Journal 4 Advances in Mathematics 4 Japan Journal of Industrial and Applied Mathematics ...and 185 more Serials all top 5 Cited in 45 Fields 2,352 Numerical analysis (65-XX) 1,590 Partial differential equations (35-XX) 1,407 Fluid mechanics (76-XX) 376 Mechanics of deformable solids (74-XX) 230 Optics, electromagnetic theory (78-XX) 116 Geophysics (86-XX) 89 Statistical mechanics, structure of matter (82-XX) 80 Probability theory and stochastic processes (60-XX) 80 Biology and other natural sciences (92-XX) 72 Ordinary differential equations (34-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 58 Classical thermodynamics, heat transfer (80-XX) 51 Approximations and expansions (41-XX) 47 Dynamical systems and ergodic theory (37-XX) 46 Quantum theory (81-XX) 43 Statistics (62-XX) 39 Computer science (68-XX) 34 Information and communication theory, circuits (94-XX) 29 Mechanics of particles and systems (70-XX) 27 Systems theory; control (93-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Operations research, mathematical programming (90-XX) 21 Integral equations (45-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Operator theory (47-XX) 18 Relativity and gravitational theory (83-XX) 14 Functional analysis (46-XX) 11 Integral transforms, operational calculus (44-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Special functions (33-XX) 10 Astronomy and astrophysics (85-XX) 9 Differential geometry (53-XX) 8 Real functions (26-XX) 6 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 5 Potential theory (31-XX) 3 Measure and integration (28-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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