Engquist, Björn; Zhao, Hongkai Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. (English) Zbl 1405.35022 Commun. Pure Appl. Math. 71, No. 11, 2220-2274 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J05 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{H. Zhao}, Commun. Pure Appl. Math. 71, No. 11, 2220--2274 (2018; Zbl 1405.35022) Full Text: DOI
Engquist, Björn; Frederick, Christina; Huynh, Quyen; Zhou, Haomin Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization. (English) Zbl 1415.76560 J. Comput. Phys. 338, 477-492 (2017). MSC: 76Q05 86A05 35J05 35R30 65K10 PDFBibTeX XMLCite \textit{B. Engquist} et al., J. Comput. Phys. 338, 477--492 (2017; Zbl 1415.76560) Full Text: DOI arXiv
Poulson, Jack; Engquist, Björn; Li, Siwei; Ying, Lexing A parallel sweeping preconditioner for heterogeneous 3D Helmholtz equations. (English) Zbl 1275.65073 SIAM J. Sci. Comput. 35, No. 3, C194-C212 (2013). MSC: 65N06 35J05 65F08 65Y05 PDFBibTeX XMLCite \textit{J. Poulson} et al., SIAM J. Sci. Comput. 35, No. 3, C194--C212 (2013; Zbl 1275.65073) Full Text: DOI arXiv
Engquist, B.; Häggblad, J.; Runborg, O. On energy preserving consistent boundary conditions for the Yee scheme in 2D. (English) Zbl 1257.78021 BIT 52, No. 3, 615-637 (2012). Reviewer: Georg Hebermehl (Berlin) MSC: 78M20 65M12 35L05 65M06 65N06 PDFBibTeX XMLCite \textit{B. Engquist} et al., BIT 52, No. 3, 615--637 (2012; Zbl 1257.78021) Full Text: DOI
Engquist, Björn; Ying, Lexing Fast algorithms for high frequency wave propagation. (English) Zbl 1248.65114 Graham, Ivan G. (ed.) et al., Numerical analysis of multiscale problems. Selected papers based on the presentations at the 91st London Mathematical Society symposium, Durham, UK, July 5–15, 2010. Berlin: Springer (ISBN 978-3-642-22060-9/hbk; 978-3-642-22061-6/ebook). Lecture Notes in Computational Science and Engineering 83, 127-161 (2012). MSC: 65N06 35J05 35L05 65N55 65F08 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{L. Ying}, Lect. Notes Comput. Sci. Eng. 83, 127--161 (2012; Zbl 1248.65114) Full Text: DOI
Tanushev, Nicolay M.; Tsai, Yen-Hsi Richard; Engquist, Björn A coupled finite difference-Gaussian beam method for high frequency wave propagation. (English) Zbl 1246.65154 Engquist, Björn (ed.) et al., Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Berlin: Springer (ISBN 978-3-642-21942-9/hbk; 978-3-642-21943-6/ebook). Lecture Notes in Computational Science and Engineering 82, 401-420 (2012). MSC: 65M06 35L05 78A05 78A45 78M20 86A15 PDFBibTeX XMLCite \textit{N. M. Tanushev} et al., Lect. Notes Comput. Sci. Eng. 82, 401--420 (2012; Zbl 1246.65154) Full Text: DOI
Engquist, Björn; Holst, Henrik; Runborg, Olof Multiscale methods for wave propagation in heterogeneous media over long time. (English) Zbl 1246.65149 Engquist, Björn (ed.) et al., Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Berlin: Springer (ISBN 978-3-642-21942-9/hbk; 978-3-642-21943-6/ebook). Lecture Notes in Computational Science and Engineering 82, 167-186 (2012). MSC: 65M06 35L05 35B27 65M12 PDFBibTeX XMLCite \textit{B. Engquist} et al., Lect. Notes Comput. Sci. Eng. 82, 167--186 (2012; Zbl 1246.65149) Full Text: DOI
Engquist, Björn; Holst, Henrik; Runborg, Olof Multi-scale methods for wave propagation in heterogeneous media. (English) Zbl 1281.65110 Commun. Math. Sci. 9, No. 1, 33-56 (2011). MSC: 65M06 35L05 35B27 65M12 PDFBibTeX XMLCite \textit{B. Engquist} et al., Commun. Math. Sci. 9, No. 1, 33--56 (2011; Zbl 1281.65110) Full Text: DOI arXiv Link
Engquist, Björn; Ying, Lexing Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. (English) Zbl 1228.65234 Multiscale Model. Simul. 9, No. 2, 686-710 (2011). MSC: 65N80 65F08 35J05 65N06 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{L. Ying}, Multiscale Model. Simul. 9, No. 2, 686--710 (2011; Zbl 1228.65234) Full Text: DOI arXiv
Engquist, Björn; Ying, Lexing Sweeping preconditioner for the Helmholtz equation: hierarchical matrix representation. (English) Zbl 1229.35037 Commun. Pure Appl. Math. 64, No. 5, 697-735 (2011). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35J05 39A14 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{L. Ying}, Commun. Pure Appl. Math. 64, No. 5, 697--735 (2011; Zbl 1229.35037) Full Text: DOI arXiv
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard Gaussian beam decomposition of high frequency wave fields using expectation-maximization. (English) Zbl 1210.65171 J. Comput. Phys. 230, No. 6, 2303-2321 (2011). MSC: 65M70 35L05 PDFBibTeX XMLCite \textit{G. Ariel} et al., J. Comput. Phys. 230, No. 6, 2303--2321 (2011; Zbl 1210.65171) Full Text: DOI
Engquist, Björn; Runborg, Olof Wavelet-based numerical homogenization. (English) Zbl 1179.65143 Engquist, Bjorn (ed.) et al., Highly oscillatory problems. Cambridge: Cambridge University Press (ISBN 978-0-521-13443-9/pbk). London Mathematical Society Lecture Note Series 366, 98-126 (2009). MSC: 65N30 65M60 65T60 35J05 35L50 35B27 65L10 34B05 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{O. Runborg}, Lond. Math. Soc. Lect. Note Ser. 366, 98--126 (2009; Zbl 1179.65143)
Tornberg, Anna-Karin; Engquist, Björn Regularization for accurate numerical wave propagation in discontinuous media. (English) Zbl 1136.65084 Methods Appl. Anal. 13, No. 3, 247-274 (2006). MSC: 65M06 35L05 35R05 65M12 65M15 PDFBibTeX XMLCite \textit{A.-K. Tornberg} and \textit{B. Engquist}, Methods Appl. Anal. 13, No. 3, 247--274 (2006; Zbl 1136.65084) Full Text: DOI Euclid
Chung, Eric T.; Engquist, Björn Optimal discontinuous Galerkin methods for wave propagation. (English) Zbl 1158.65337 SIAM J. Numer. Anal. 44, No. 5, 2131-2158 (2006). MSC: 65M60 65M12 65M15 35L05 PDFBibTeX XMLCite \textit{E. T. Chung} and \textit{B. Engquist}, SIAM J. Numer. Anal. 44, No. 5, 2131--2158 (2006; Zbl 1158.65337) Full Text: DOI Link
Tornberg, A.-K.; Engquist, B.; Gustafsson, B.; Wahlund, P. A new type of boundary treatment for wave propagation. (English) Zbl 1106.65078 BIT 46, Suppl., S145-S170 (2006). MSC: 65M06 35L45 65M12 PDFBibTeX XMLCite \textit{A. K. Tornberg} et al., BIT 46, S145--S170 (2006; Zbl 1106.65078) Full Text: DOI
Engquist, Björn; Runborg, Olof Computational high frequency wave propagation. (English) Zbl 1049.65098 Acta Numerica 12, 181-266 (2003). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M25 65M70 35L05 35L45 78A05 78A45 78M05 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{O. Runborg}, Acta Numerica 12, 181--266 (2003; Zbl 1049.65098) Full Text: DOI
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin High-frequency wave propagation by the segment projection method. (English) Zbl 0996.78001 J. Comput. Phys. 178, No. 2, 373-390 (2002). MSC: 78-04 78A05 78M25 65M99 35L20 35Q60 78A50 PDFBibTeX XMLCite \textit{B. Engquist} et al., J. Comput. Phys. 178, No. 2, 373--390 (2002; Zbl 0996.78001) Full Text: DOI Link
Engquist, Björn; Runborg, Olof Wavelet-based numerical homogenization with applications. (English) Zbl 0989.65117 Barth, Timothy J. (ed.) et al., Multiscale and multiresolution methods. Theory and applications. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 20, 97-148 (2002). MSC: 65N06 65N55 65M55 34B05 35J05 35L45 65L10 65T60 35B27 65M06 78A50 35R05 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{O. Runborg}, Lect. Notes Comput. Sci. Eng. 20, 97--148 (2002; Zbl 0989.65117)
Engquist, Bjorn; Zhao, Hong-Kai Absorbing boundary conditions for domain decomposition. (English) Zbl 0952.65098 Geers, Thomas L. (ed.), IUTAM symposium on computational methods for unbounded domains. Proceedings of the IUTAM symposium held in Boulder, CO, USA, July 27-31, 1997. Dordrecht: Kluwer Academic Publishers. Fluid Mech. Appl. 49, 315-324 (1998). MSC: 65N55 65F10 65Y05 65N30 35J25 65N12 35J05 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{H.-K. Zhao}, Fluid Mech. Appl. 49, 315--324 (1998; Zbl 0952.65098)
Engquist, Bjorn; Zhao, Hong-Kai Absorbing boundary conditions for domain decomposition. (English) Zbl 0935.65135 Appl. Numer. Math. 27, No. 4, 341-365 (1998). MSC: 65N55 65N12 65F10 65N06 35J05 35J25 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{H.-K. Zhao}, Appl. Numer. Math. 27, No. 4, 341--365 (1998; Zbl 0935.65135) Full Text: DOI
Fatemi, E.; Engquist, B.; Osher, S. Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. (English) Zbl 0836.65099 J. Comput. Phys. 120, No. 1, 145-155 (1995). Reviewer: Th.Sonar (Göttingen) MSC: 65M06 35L70 PDFBibTeX XMLCite \textit{E. Fatemi} et al., J. Comput. Phys. 120, No. 1, 145--155 (1995; Zbl 0836.65099) Full Text: DOI
Engquist, B.; Halpern, L. Long-time behaviour of absorbing boundary conditions. (English) Zbl 0711.65085 Math. Methods Appl. Sci. 13, No. 3, 189-203 (1990). Reviewer: Yu.I.Shokin MSC: 65M70 35L15 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{L. Halpern}, Math. Methods Appl. Sci. 13, No. 3, 189--203 (1990; Zbl 0711.65085) Full Text: DOI
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P. Higher order paraxial wave equation approximations in heterogeneous media. (English) Zbl 0654.35056 SIAM J. Appl. Math. 48, No. 1, 129-154 (1988). MSC: 35L05 65Z05 35A05 35B45 PDFBibTeX XMLCite \textit{A. Bamberger} et al., SIAM J. Appl. Math. 48, No. 1, 129--154 (1988; Zbl 0654.35056) Full Text: DOI
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P. Parabolic wave equation approximations in heterogeneous media. (English) Zbl 0654.35055 SIAM J. Appl. Math. 48, No. 1, 99-128 (1988). MSC: 35L05 65Z05 35A05 35B45 PDFBibTeX XMLCite \textit{A. Bamberger} et al., SIAM J. Appl. Math. 48, No. 1, 99--128 (1988; Zbl 0654.35055) Full Text: DOI
Engquist, Björn; Halpern, Laurence Far field boundary conditions for computation over long time. (English) Zbl 0641.65088 Appl. Numer. Math. 4, No. 1, 21-45 (1988). Reviewer: J.D.P.Donnelly MSC: 65Z05 65N06 35L05 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{L. Halpern}, Appl. Numer. Math. 4, No. 1, 21--45 (1988; Zbl 0641.65088) Full Text: DOI
Engquist, Björn; Gustafsson, Bertil Steady state computations for wave propagation problems. (English) Zbl 0632.65099 Math. Comput. 49, 39-64 (1987). Reviewer: P.I.Ialamov MSC: 65M12 35L15 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{B. Gustafsson}, Math. Comput. 49, 39--64 (1987; Zbl 0632.65099) Full Text: DOI
Engquist, Bjorn Inverse imaging methods in exploration seismology. (English) Zbl 0447.73033 Computing methods in applied sciences and engineering, Proc. 4th int. Symp., Versailles 1979, 547-552 (1980). MSC: 74J20 65M30 86A15 74L05 PDFBibTeX XML