DCG - a system for automatic code generation for hyperbolic problems. - Björn Engquist; Tom Smedsaas (SIGNUM, 1975)

Fast Wavelet Based Algorithms for Linear Evolution Equations. - Björn Engquist; Stanley J. Osher; Sifen Zhong (SIAM J. Sci. Comput., 1994)

Parallelism in Computational Algorithms and the Physical World. - Björn Engquist (Euro-Par, 1995)

Regularization Techniques for Numerical Approximation of PDEs with Singularities. - Anna-Karin Tornberg; Björn Engquist (J. Sci. Comput., 2003)

Heterogeneous multiscale methods for stiff ordinary differential equations. - Björn Engquist; Yen-Hsi Tsai (Math. Comput., 2005)

Convergence Analysis of Fully Discrete Finite Volume Methods for Maxwell's Equations in Nonhomogeneous Media. - Eric T. Chung 001; Björn Engquist (SIAM J. Numer. Anal., 2005)

Heterogeneous Multiscale Methods for Interface Tracking of Combustion Fronts. - Yi Sun; Björn Engquist (Multiscale Model. Simul., 2006)

Optimal Discontinuous Galerkin Methods for Wave Propagation. - Eric T. Chung 001; Björn Engquist (SIAM J. Numer. Anal., 2006)

Fast Directional Multilevel Algorithms for Oscillatory Kernels. - Björn Engquist; Lexing Ying (SIAM J. Sci. Comput., 2007)

Consistent boundary conditions for the Yee scheme. - Anna-Karin Tornberg; Björn Engquist (J. Comput. Phys., 2008)

Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity. - Assyr Abdulle; Björn Engquist (Multiscale Model. Simul., 2008)

Numerical Multiscale Methods for Coupled Oscillators. - Gil Ariel; Björn Engquist; Richard Tsai 001 (Multiscale Model. Simul., 2008)

Gaussian beam decomposition of high frequency wave fields. - Nicolay M. Tanushev; Björn Engquist; Richard Tsai 001 (J. Comput. Phys., 2009)

A multiscale method for highly oscillatory ordinary differential equations with resonance. - Gil Ariel; Björn Engquist; Richard Tsai 001 (Math. Comput., 2009)

Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions. - Eric T. Chung 001; Björn Engquist (SIAM J. Numer. Anal., 2009)

Fast directional algorithms for the Helmholtz kernel. - Björn Engquist; Lexing Ying (J. Comput. Appl. Math., 2010)

A convection-diffusion-shape model for aberrant colonic crypt morphogenesis. - Isabel N. Figueiredo; Carlos F. Leal; Giuseppe Romanazzi; Björn Engquist; Pedro N. Figueiredo (Comput. Vis. Sci., 2011)

Gaussian beam decomposition of high frequency wave fields using expectation-maximization. - Gil Ariel; Björn Engquist; Nicolay M. Tanushev; Richard Tsai 001 (J. Comput. Phys., 2011)

Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers. - Björn Engquist; Lexing Ying (Multiscale Model. Simul., 2011)

A Multiscale Method for Epitaxial Growth. - Yi Sun; Russel Caflisch; Björn Engquist (Multiscale Model. Simul., 2011)

The heterogeneous multiscale method. - Assyr Abdulle; Weinan E; Björn Engquist; Eric Vanden-Eijnden (Acta Numer., 2012)

A parallel sweeping preconditioner for high frequency heterogeneous 3D Helmholtz equations - Jack Poulson; Björn Engquist; Sergey Fomel; Siwei Li; Lexing Ying (CoRR, 2012)

A sweeping preconditioner for time-harmonic Maxwell's equations with finite elements. - Paul Tsuji; Björn Engquist; Lexing Ying (J. Comput. Phys., 2012)

A Multiscale Method Coupling Network and Continuum Models in Porous Media I: Steady-State Single Phase Flow. - Jay Chu; Björn Engquist; Masa Prodanovic; Richard Tsai 001 (Multiscale Model. Simul., 2012)

Fast sweeping methods for hyperbolic systems of conservation laws at steady state. - Björn Engquist; Brittany D. Froese; Yen-Hsi Richard Tsai (J. Comput. Phys., 2013)

A Multiscale Method for Highly Oscillatory Dynamical Systems Using a Poincaré Map Type Technique. - Gil Ariel; Björn Engquist; S. Kim; Yoonsang Lee 002; Richard Tsai 001 (J. Sci. Comput., 2013)

A Parallel Sweeping Preconditioner for Heterogeneous 3D Helmholtz Equations. - Jack Poulson; Björn Engquist; Siwei Li; Lexing Ying (SIAM J. Sci. Comput., 2013)

An Homogenization Model for Aberrant Crypt Foci. - Isabel N. Figueiredo; Carlos F. Leal; Giuseppe Romanazzi; Björn Engquist (CoRR, 2014)

Nonuniform Sampling and Multiscale Computation. - Björn Engquist; Christina Frederick (Multiscale Model. Simul., 2014)

A Parallel Directional Fast Multipole Method. - Austin R. Benson; Jack Poulson; Kenneth Tran; Björn Engquist; Lexing Ying (SIAM J. Sci. Comput., 2014)

Automated lesion detectors in retinal fundus images. - Isabel N. Figueiredo; Sunil Kumar 002; Carlos Manta Oliveira; João Diogo Ramos; Björn Engquist (Comput. Biol. Medicine, 2015)

Fast sweeping methods for hyperbolic systems of conservation laws at steady state II. - Björn Engquist; Brittany D. Froese; Yen-Hsi Richard Tsai (J. Comput. Phys., 2015)

Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields. - Yoonsang Lee 002; Björn Engquist (J. Comput. Phys., 2016)

Homogenization Model for Aberrant Crypt Foci. - Isabel N. Figueiredo; Carlos F. Leal; Giuseppe Romanazzi; Björn Engquist (SIAM J. Appl. Math., 2016)

Analysis of Optimal Transport Related Misfit Functions in Seismic Imaging. - Yunan Yang; Björn Engquist (GSI, 2017)

Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization. - Björn Engquist; Christina Frederick; Quyen Huynh; Haomin Zhou 001 (J. Comput. Phys., 2017)

Parallel in time algorithms for multiscale dynamical systems using interpolation and neural networks. - Gopal R. Yalla; Björn Engquist (SpringSim (HPC), 2018)

Seismic imaging and optimal transport. - Björn Engquist; Yunan Yang (Commun. Inf. Syst., 2019)

Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues. - Qiang Du 001; Björn Engquist; Xiaochuan Tian (CoRR, 2019)

Numerical multiscale methods and effective boundary conditions. - Sean P. Carney; Björn Engquist (CoRR, 2019)

The quadratic Wasserstein metric for inverse data matching. - Björn Engquist; Kui Ren 002; Yunan Yang (CoRR, 2019)

Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues. - Qiang Du 001; Björn Engquist; Xiaochuan Tian (75 Years of Mathematics of Computation, 2020)

Optimal Transport Based Seismic Inversion: Beyond Cycle Skipping. - Björn Engquist; Yunan Yang (CoRR, 2020)

A Generalized Weighted Optimization Method for Computational Learning and Inversion. - Kui Ren 002; Yunan Yang; Björn Engquist (ICLR, 2022)

An Algebraically Converging Stochastic Gradient Descent Algorithm for Global Optimization. - Björn Engquist; Kui Ren 002; Yunan Yang (CoRR, 2022)

Neural Inverse Operators for Solving PDE Inverse Problems. - Roberto Molinaro; Yunan Yang; Björn Engquist; Siddhartha Mishra (ICML, 2023)

Adaptive State-Dependent Diffusion for Derivative-Free Optimization. - Björn Engquist; Kui Ren 002; Yunan Yang (CoRR, 2023)

Sampling with Adaptive Variance for Multimodal Distributions. - Björn Engquist; Kui Ren 002; Yunan Yang (CoRR, 2024)

On the Nature of the Boundary Resonance Error in Numerical Homogenization and Its Reduction. - Sean P. Carney; Milica Dussinger; Björn Engquist (Multiscale Model. Simul., 2024)

A Dilation-based Seamless Multiscale Method For Elliptic Problems. - Ziheng Chen 005; Björn Engquist (CoRR, 2025)