| Year |
Citation |
Score |
| 2020 |
Xu Q, Engquist B, Solaimanian M, Yan K. A new nonlinear viscoelastic model and mathematical solution of solids for improving prediction accuracy. Scientific Reports. 10: 2202. PMID 32041966 DOI: 10.1038/S41598-020-58240-Y |
0.327 |
|
| 2018 |
Xu Q, Engquist B. A mathematical model for fitting and predicting relaxation modulus and simulating viscoelastic responses. Proceedings. Mathematical, Physical, and Engineering Sciences. 474: 20170540. PMID 29887741 DOI: 10.1098/Rspa.2017.0540 |
0.326 |
|
| 2018 |
Yang Y, Engquist B. Analysis of optimal transport and related misfit functions in full-waveform inversion Geophysics. 83. DOI: 10.1190/Geo2017-0264.1 |
0.363 |
|
| 2018 |
Yang Y, Engquist B, Sun J, Hamfeldt BF. Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion Geophysics. 83: R43-R62. DOI: 10.1190/Geo2016-0663.1 |
0.347 |
|
| 2018 |
Engquist B, Zhao H. Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit Communications On Pure and Applied Mathematics. 71: 2220-2274. DOI: 10.1002/Cpa.21755 |
0.33 |
|
| 2017 |
Frederick C, Engquist B. Numerical methods for multiscale inverse problems Communications in Mathematical Sciences. 15: 305-328. DOI: 10.4310/Cms.2017.V15.N2.A2 |
0.372 |
|
| 2017 |
Engquist B, Frederick C, Huynh Q, Zhou H. Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization Journal of Computational Physics. 338: 477-492. DOI: 10.1016/J.Jcp.2017.03.004 |
0.41 |
|
| 2016 |
Figueiredo IN, Leal C, Romanazzi G, Engquist B. Homogenization model for aberrant crypt foci Siam Journal On Applied Mathematics. 76: 1152-1177. DOI: 10.1137/140967660 |
0.313 |
|
| 2016 |
Lee Y, Engquist B. Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields Journal of Computational Physics. 317: 33-46. DOI: 10.1016/J.Jcp.2016.04.046 |
0.385 |
|
| 2015 |
Engquist B, Froese BD, Tsai YHR. Fast sweeping methods for hyperbolic systems of conservation laws at steady state II Journal of Computational Physics. 286: 70-86. DOI: 10.1016/J.Jcp.2013.08.036 |
0.417 |
|
| 2014 |
Engquist B, Froese BD. Application of the Wasserstein metric to seismic signals Communications in Mathematical Sciences. 12: 979-988. DOI: 10.4310/Cms.2014.V12.N5.A7 |
0.404 |
|
| 2014 |
Ariel G, Engquist B, Kim SJ, Tsai R. Iterated averaging of three-scale oscillatory systems Communications in Mathematical Sciences. 12: 791-824. DOI: 10.4310/Cms.2014.V12.N5.A1 |
0.355 |
|
| 2014 |
Lee Y, Engquist B. Variable step size multiscale methods for stiff and highly oscillatory dynamical systems Discrete and Continuous Dynamical Systems- Series A. 34: 1079-1097. DOI: 10.3934/Dcds.2014.34.1079 |
0.41 |
|
| 2014 |
Benson AR, Poulson J, Tran K, Engquist B, Ying L. A Parallel Directional Fast Multipole Method Siam Journal On Scientific Computing. 36: C335-C352. DOI: 10.1137/130945569 |
0.32 |
|
| 2014 |
Tsuji P, Poulson J, Engquist B, Ying L. Sweeping preconditioners for elastic wave propagation with spectral element methods Esaim: Mathematical Modelling and Numerical Analysis. 48: 433-447. DOI: 10.1051/M2An/2013114 |
0.463 |
|
| 2013 |
Poulson J, Engquist B, Li S, Ying L. A parallel sweeping preconditioner for heterogeneous 3D helmholtz equations Siam Journal On Scientific Computing. 35: C194-C212. DOI: 10.1137/120871985 |
0.386 |
|
| 2013 |
Figueiredo IN, Romanazzi G, Leal C, Engquist B. A multiscale model for Aberrant Crypt Foci Procedia Computer Science. 18: 1026-1035. DOI: 10.1016/J.Procs.2013.05.268 |
0.304 |
|
| 2013 |
Ariel G, Engquist B, Kim S, Lee Y, Tsai R. A multiscale method for highly oscillatory dynamical systems using a poincaré map type technique Journal of Scientific Computing. 54: 247-268. DOI: 10.1007/S10915-012-9656-X |
0.411 |
|
| 2012 |
Häggblad J, Engquist B. Consistent modeling of boundaries in acoustic finite-difference time-domain simulations. The Journal of the Acoustical Society of America. 132: 1303-10. PMID 22978858 DOI: 10.1121/1.4740490 |
0.427 |
|
| 2012 |
Chu J, Engquist B, Prodanović M, Tsai R. A multiscale method coupling network and continuum models in porous media i: Steady-state single phase flow Multiscale Modeling and Simulation. 10: 515-549. DOI: 10.1137/110836201 |
0.412 |
|
| 2012 |
Abdulle A, E W, Engquist B, Vanden-Eijnden E. The heterogeneous multiscale method Acta Numerica. 21: 1-87. DOI: 10.1017/S0962492912000025 |
0.35 |
|
| 2012 |
Tsuji P, Engquist B, Ying L. A sweeping preconditioner for time-harmonic Maxwell's equations with finite elements Journal of Computational Physics. 231: 3770-3783. DOI: 10.1016/J.Jcp.2012.01.025 |
0.438 |
|
| 2012 |
Engquist B, Häggblad J, Runborg O. On energy preserving consistent boundary conditions for the Yee scheme in 2D Bit Numerical Mathematics. 52: 615-637. DOI: 10.1007/S10543-012-0376-2 |
0.392 |
|
| 2011 |
Engquist B, Holst H, Runborg O. Multi-scale methods for wave propagation in heterogeneous media Communications in Mathematical Sciences. 9: 33-56. DOI: 10.4310/Cms.2011.V9.N1.A2 |
0.391 |
|
| 2011 |
Tanushev NM, Tsai R, Fomel S, Engquist B. Gaussian beam decomposition for seismic migration Seg Technical Program Expanded Abstracts. 30: 3356-3361. DOI: 10.1190/1.3627894 |
0.364 |
|
| 2011 |
Engquist B, Poulson J, Ying L. Sweeping preconditioner for the 3D Helmholtz equation Seg Technical Program Expanded Abstracts. 30: 3158-3163. DOI: 10.1190/1.3627851 |
0.442 |
|
| 2011 |
Engquist B, Ying L. Sweeping preconditioner for the Helmholtz equation: Moving perfectly matched layers Multiscale Modeling and Simulation. 9: 686-710. DOI: 10.1137/100804644 |
0.398 |
|
| 2011 |
Sun Y, Caflisch R, Engquist B. A multiscale method for epitaxial growth Multiscale Modeling and Simulation. 9: 335-354. DOI: 10.1137/090747749 |
0.401 |
|
| 2011 |
Figueiredo IN, Leal C, Romanazzi G, Engquist B, Figueiredo PN. A convection-diffusion-shape model for aberrant colonic crypt morphogenesis Computing and Visualization in Science. 14: 157-166. DOI: 10.1007/S00791-012-0170-3 |
0.302 |
|
| 2011 |
Engquist B, Ying L. Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation Communications On Pure and Applied Mathematics. 64: 697-735. DOI: 10.1002/Cpa.20358 |
0.439 |
|
| 2010 |
Engquist B, Osher S. One-sided difference schemes and transonic flow. Proceedings of the National Academy of Sciences of the United States of America. 77: 3071-4. PMID 16592824 DOI: 10.1073/Pnas.77.6.3071 |
0.405 |
|
| 2010 |
Engquist B, Ying L. Fast directional algorithms for the Helmholtz kernel Journal of Computational and Applied Mathematics. 234: 1851-1859. DOI: 10.1016/J.Cam.2009.08.036 |
0.313 |
|
| 2009 |
Ariel G, Engquist B, Tsai R. A reversible multiscale integration method Communications in Mathematical Sciences. 7: 595-610. DOI: 10.4310/Cms.2009.V7.N3.A4 |
0.406 |
|
| 2009 |
Engquist B, Ying L. A fast directional algorithm for high frequency acoustic scattering in two dimensions Communications in Mathematical Sciences. 7: 327-345. DOI: 10.4310/Cms.2009.V7.N2.A3 |
0.352 |
|
| 2009 |
Chung ET, Engquist B. Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions Siam Journal On Numerical Analysis. 47: 3820-3848. DOI: 10.1137/080729062 |
0.456 |
|
| 2009 |
Ariel G, Engquist B, Tsai R. Numerical Multiscale Methods for Coupled Oscillators Multiscale Modeling & Simulation. 7: 1387-1404. DOI: 10.1137/070707245 |
0.395 |
|
| 2009 |
Ariel G, Engquist B, Tsai R. A multiscale method for highly oscillatory ordinary differential equations with resonance Mathematics of Computation. 78: 929-956. DOI: 10.1090/S0025-5718-08-02139-X |
0.416 |
|
| 2008 |
Engquist B, Souganidis PE. Asymptotic and numerical homogenization Acta Numerica. 17: 147-190. DOI: 10.1017/S0962492906360011 |
0.466 |
|
| 2008 |
Tornberg AK, Engquist B. Consistent boundary conditions for the Yee scheme Journal of Computational Physics. 227: 6922-6943. DOI: 10.1016/J.Jcp.2008.03.045 |
0.406 |
|
| 2007 |
Engquist B, Ying L. Fast directional multilevel algorithms for oscillatory kernels Siam Journal On Scientific Computing. 29: 1710-1737. DOI: 10.1137/07068583X |
0.349 |
|
| 2007 |
Abdulle A, Engquist B. Finite element heterogeneous multiscale methods with near optimal computational complexity Multiscale Modeling and Simulation. 6: 1059-1084. DOI: 10.1137/060676118 |
0.4 |
|
| 2007 |
Atle A, Engquist B. On surface radiation conditions for high-frequency wave scattering Journal of Computational and Applied Mathematics. 204: 306-316. DOI: 10.1016/J.Cam.2006.02.045 |
0.372 |
|
| 2007 |
Engquist B, Holst H, Runborg O. Multiscale methods for the wave equation Pamm. 7: 1140903-1140904. DOI: 10.1002/Pamm.200700930 |
0.405 |
|
| 2006 |
Engquist B, Tornberg A. Regularization for Accurate Numerical Wave Propagation in Discontinuous Media Methods and Applications of Analysis. 13: 247-274. DOI: 10.4310/Maa.2006.V13.N3.A3 |
0.405 |
|
| 2006 |
Sun Y, Engquist B. Heterogeneous multiscale methods for interface tracking of combustion fronts Multiscale Modeling and Simulation. 5: 532-563. DOI: 10.1137/050624844 |
0.411 |
|
| 2006 |
Tornberg AK, Engquist B, Gustafsson B, Wahlund P. A new type of boundary treatment for wave propagation Bit Numerical Mathematics. 46. DOI: 10.1007/S10543-006-0088-6 |
0.42 |
|
| 2005 |
Chung ET, Engquist B. Convergence analysis of fully discrete finite volume methods for Maxwell's equations in nonhomogeneous media Siam Journal On Numerical Analysis. 43: 303-317. DOI: 10.1137/S0036142903435442 |
0.418 |
|
| 2005 |
Engquist B, Tsai YH. Heterogeneous multiscale methods for stiff ordinary differential equations Mathematics of Computation. 74: 1707-1742. DOI: 10.1090/S0025-5718-05-01745-X |
0.478 |
|
| 2005 |
Engquist B, Tornberg AK, Tsai R. Discretization of Dirac delta functions in level set methods Journal of Computational Physics. 207: 28-51. DOI: 10.1016/J.Jcp.2004.09.018 |
0.427 |
|
| 2005 |
Sharp R, Tsai YH, Engquist B. Multiple time scale numerical methods for the inverted pendulum problem Lecture Notes in Computational Science and Engineering. 44: 241-261. |
0.361 |
|
| 2004 |
Tornberg AK, Engquist B. Numerical approximations of singular source terms in differential equations Journal of Computational Physics. 200: 462-488. DOI: 10.1016/J.Jcp.2004.04.011 |
0.446 |
|
| 2003 |
E W, Engquist B. The Heterognous Multiscale Methods Communications in Mathematical Sciences. 1: 87-132. DOI: 10.4310/Cms.2003.V1.N1.A8 |
0.309 |
|
| 2003 |
E W, Engquist B, Huang Z. Heterogeneous multiscale method: A general methodology for multiscale modeling Physical Review B - Condensed Matter and Materials Physics. 67: 921011-921014. DOI: 10.1103/Physrevb.67.092101 |
0.347 |
|
| 2003 |
Tornberg AK, Engquist B. Regularization Techniques for Numerical Approximation of PDEs with Singularities Journal of Scientific Computing. 19: 527-552. DOI: 10.1023/A:1025332815267 |
0.457 |
|
| 2003 |
Engquist B, Runborg O. Computational high frequency wave propagation Acta Numerica. 12: 181-266. DOI: 10.1017/S0962492902000119 |
0.42 |
|
| 2003 |
Tornberg AK, Engquist B. The Segment Projection Method for Interface Tracking Communications On Pure and Applied Mathematics. 56: 47-79. DOI: 10.1002/Cpa.10052 |
0.409 |
|
| 2002 |
Engquist B, Runborg O, Tornberg AK. High-frequency wave propagation by the segment projection method Journal of Computational Physics. 178: 373-390. DOI: 10.1006/Jcph.2002.7033 |
0.42 |
|
| 2000 |
Tornberg AK, Engquist B. A finite element based level-set method for multiphase flow applications Computing and Visualization in Science. 3: 93-101. DOI: 10.1007/S007910050056 |
0.391 |
|
| 1999 |
Andersson U, Engquist B, Ledfelt G, Runborg O. A Contribution to Wavelet-Based Subgrid Modeling Applied and Computational Harmonic Analysis. 7: 151-164. DOI: 10.1006/Acha.1999.0264 |
0.454 |
|
| 1998 |
Engquist B, Sjögreen B. The convergence rate of finite difference schemes in the presence of shocks Siam Journal On Numerical Analysis. 35: 2464-2485. DOI: 10.1137/S0036142997317584 |
0.385 |
|
| 1998 |
Dorobantu M, Engquist B. Wavelet-based numerical homogenization Siam Journal On Numerical Analysis. 35: 540-559. DOI: 10.1137/S0036142996298880 |
0.365 |
|
| 1998 |
Engquist B, Zhao HK. Absorbing boundary conditions for domain decomposition Applied Numerical Mathematics. 27: 341-365. DOI: 10.1016/S0168-9274(98)00019-1 |
0.379 |
|
| 1997 |
Engquist B, Luo E. Convergence of a multigrid method for elliptic equations with highly oscillatory coefficients Siam Journal On Numerical Analysis. 34: 2254-2273. DOI: 10.1137/S0036142995289408 |
0.45 |
|
| 1997 |
Harten A, Engquist B, Osher S, Chakravarthy SR. Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III Journal of Computational Physics. 131: 3-47. DOI: 10.1006/Jcph.1996.5632 |
0.399 |
|
| 1997 |
Weinan E, Engquist B. Blowup of solutions of the unsteady Prandtl's equation Communications On Pure and Applied Mathematics. 50: 1287-1293. DOI: 10.1002/(Sici)1097-0312(199712)50:12<1287::Aid-Cpa4>3.0.Co;2-4 |
0.389 |
|
| 1996 |
Engquist B, Runborg O. Multi-phase computations in geometrical optics Journal of Computational and Applied Mathematics. 74: 175-192. DOI: 10.1016/0377-0427(96)00023-4 |
0.425 |
|
| 1996 |
Engquist B, Erding L. New coarse grid operators for highly oscillatory coefficient elliptic problems Journal of Computational Physics. 129: 296-306. DOI: 10.1006/Jcph.1996.0251 |
0.369 |
|
| 1996 |
Fatemi E, Engquist B, Osher S. Finite difference methods for the nonlinear equations of perturbed geometrical optics Applied Computational Electromagnetics Society Journal. 11: 90-98. |
0.317 |
|
| 1995 |
Fatemi E, Engquist B, Osher S. Numerical Solution of the High Frequency Asymptotic Expansion for the Scalar Wave Equation Journal of Computational Physics. 120: 145-155. DOI: 10.1006/Jcph.1995.1154 |
0.439 |
|
| 1994 |
Engquist B, Osher S, Zhong S. Fast Wavelet Based Algorithms for Linear Evolution Equations Siam Journal On Scientific Computing. 15: 755-775. DOI: 10.1137/0915048 |
0.379 |
|
| 1994 |
Ton VT, Karagozian AR, Marble FE, Osher SJ, Engquist BE. Numerical simulations of high-speed chemically reacting flow Theoretical and Computational Fluid Dynamics. 6: 161-179. DOI: 10.1007/Bf00312347 |
0.358 |
|
| 1993 |
Chen W, Durlofsky L, Engquist B, Osher S. Minimization of Grid Orientation Effects Through Use of Higher Order Finite Difference Methods Spe Advanced Technology Series. 1: 43-52. DOI: 10.2118/22887-Pa |
0.338 |
|
| 1993 |
Engquist B, Liu J. Numerical Methods for Oscillatory Solutions to Hyperbolic Problems Communications On Pure and Applied Mathematics. 46: 1327-1361. DOI: 10.1002/Cpa.3160461003 |
0.449 |
|
| 1993 |
Engquist B, Weinan E. Large time behavior and homogenization of solutions of two-dimensional conservation laws Communications On Pure and Applied Mathematics. 46: 1-26. DOI: 10.1002/Cpa.3160460102 |
0.341 |
|
| 1993 |
Chen WH, Durlofsky LJ, Engquist B, Osher S. Minimization of grid orientation effects through use of higher order finite difference methods Spe Advanced Technology Series. 1: 43-52. |
0.312 |
|
| 1992 |
Durlofsky LJ, Engquist B, Osher S. Triangle based adaptive stencils for the solution of hyperbolic conservation laws Journal of Computational Physics. 98: 64-73. DOI: 10.1016/0021-9991(92)90173-V |
0.429 |
|
| 1991 |
Chen WH, Durlofsky LJ, Engquist B, Osher S. Minimization of grid orientation effects through use of higher-order finite difference methods Proceedings - Spe Annual Technical Conference and Exhibition. 51-64. |
0.312 |
|
| 1990 |
Engquist B, Halpern L. Long-time behaviour of absorbing boundary conditions Mathematical Methods in the Applied Sciences. 13: 189-203. DOI: 10.1002/Mma.1670130302 |
0.393 |
|
| 1989 |
Engquist B, Lötstedt P, Sjögreen B. Nonlinear filters for efficient shock computation Mathematics of Computation. 52: 509-537. DOI: 10.2307/2008479 |
0.39 |
|
| 1989 |
Engquist B, Hou TY. Particle method approximation of oscillatory solutions to hyperbolic differential equations Siam Journal On Numerical Analysis. 26: 289-319. DOI: 10.1137/0726016 |
0.42 |
|
| 1989 |
Engquist B, Greenbaum A, Murphy WD. Global boundary conditions and fast helmholtz solvers Ieee Transactions On Magnetics. 25: 2804-2806. DOI: 10.1109/20.34290 |
0.306 |
|
| 1988 |
Engquist B, Halpern L. Far field boundary conditions for computation over long time Applied Numerical Mathematics. 4: 21-45. DOI: 10.1016/S0168-9274(88)80004-7 |
0.417 |
|
| 1987 |
Engquist B, Gustafsson B. Steady state computations for wave propagation problems Mathematics of Computation. 49: 39-64. DOI: 10.2307/2008249 |
0.431 |
|
| 1987 |
Rizzi A, Engquist B. Selected topics in the theory and practice of computational fluid dynamics Journal of Computational Physics. 72: 1-69. DOI: 10.1016/0021-9991(87)90072-6 |
0.399 |
|
| 1987 |
Engquist B. Computation of oscillatory solutions to partial differential equations Lecture Notes in Mathematics. 1270: 10-22. DOI: 10.1007/Bfb0078314 |
0.441 |
|
| 1986 |
Harten A, Osher S, Engquist B, Chakravarthy SR. Some results on uniformly high-order accurate essentially nonoscillatory schemes Applied Numerical Mathematics. 2: 347-377. DOI: 10.1016/0168-9274(86)90039-5 |
0.388 |
|
| 1981 |
Engquist B, Osher S. One-sided difference approximations for nonlinear conservation laws Mathematics of Computation. 36: 321-351. DOI: 10.1090/S0025-5718-1981-0606500-X |
0.387 |
|
| 1981 |
Engquist B, Majda A. Numerical radiation boundary conditions for unsteady transonic flow Journal of Computational Physics. 40: 91-103. DOI: 10.1016/0021-9991(81)90201-1 |
0.359 |
|
| 1980 |
Engquist B, Osher S. Stable and entropy satisfying approximations for transonic flow calculations Mathematics of Computation. 34: 45-75. DOI: 10.2307/2006220 |
0.367 |
|
| 1980 |
Clayton RW, Engquist B. Absorbing boundary conditions for wave-equation migration Geophysics. 45: 895-904. DOI: 10.1190/1.1441094 |
0.399 |
|
| 1980 |
Engquist B, Smedsaas T. Automatic Computer Code Generation for Hyperbolic and Parabolic Differential Equations Siam Journal On Scientific and Statistical Computing. 1: 249-259. DOI: 10.1137/0901017 |
0.385 |
|
| 1979 |
Engquist B, Kreiss HO. Difference and finite element methods for hyperbolic differential equations Computer Methods in Applied Mechanics and Engineering. 17: 581-596. DOI: 10.1016/0045-7825(79)90045-8 |
0.43 |
|
| 1979 |
Engquist B, Majda A. Radiation boundary conditions for acoustic and elastic wave calculations Communications On Pure and Applied Mathematics. 32: 313-357. DOI: 10.1002/Cpa.3160320303 |
0.4 |
|
| 1978 |
Engquist B, Gustafsson B, Vreeburg J. Numerical solution of a PDE system describing a catalytic converter Journal of Computational Physics. 27: 295-314. DOI: 10.1016/0021-9991(78)90012-8 |
0.423 |
|
| 1977 |
Engquist B, Majda A. Absorbing Boundary Conditions for Numerical Simulation of Waves Proceedings of the National Academy of Sciences of the United States of America. 74: 1765-1766. PMID 16592392 DOI: 10.1073/Pnas.74.5.1765 |
0.361 |
|
| 1977 |
Engquist B, Majda A. Absorbing boundary conditions for the numerical simulation of waves Mathematics of Computation. 31: 629-651. DOI: 10.1090/S0025-5718-1977-0436612-4 |
0.363 |
|
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