Björn Engquist

Q: What Schools Are Affiliated With Björn Engquist

Björn Engquist is affiliated with the following schools: University of Texas at Austin, Uppsala University, University of California, Los Angeles, Princeton University, KTH Royal Institute of Technology

Björn Engquist's AcademicInfluence.com Rankings

Björn Engquist

Mathematics

#829

World Rank

#1480

Historical Rank

Measure Theory

#854

World Rank

#1123

Historical Rank

mathematics Degrees

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Mathematics

Why Is Björn Engquist Influential?

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According to Wikipedia, Björn Engquist has been a leading contributor in the areas of multiscale modeling and scientific computing, and a productive educator of applied mathematicians. Life He received his PhD in numerical analysis from University of Uppsala in 1975, and taught there during the following years while also holding a professorship at the University of California, Los Angeles. In 2001, he moved to Princeton University as the Michael Henry Stater University Professor of Mathematics and served as the director of the Program in Applied and Computational Mathematics. He has also been professor at the Royal Institute of Technology in Stockholm since 1993, and is director of the Parallel and Scientific Computing Institute. Engquist currently holds the Computational and Applied Mathematics Chair I at the Institute for Computational Engineering and Sciences at the University of Texas at Austin, after leaving Princeton in 2005.

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Björn Engquist's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Uniformly high order accurate essentially non-oscillatory schemes, 111 (1987) (2754)
Absorbing boundary conditions for numerical simulation of waves. (1977) (2703)
Uniformly high order accuracy essentially non-oscillatory schemes III (1987) (1008)
Radiation boundary conditions for acoustic and elastic wave calculations (1979) (795)
Heterogeneous multiscale methods: A review (2007) (755)
The Heterognous Multiscale Methods (2003) (678)
Absorbing boundary conditions for acoustic and elastic wave equations (1977) (584)
The heterogeneous multiscale method* (2012) (575)
Some results on uniformly high-order accurate essentially nonoscillatory schemes (1986) (453)
One-sided difference approximations for nonlinear conservation laws (1981) (364)
Regular ArticleUniformly High Order Accurate Essentially Non-oscillatory Schemes, III (1997) (330)
Numerical approximations of singular source terms in differential equations (2004) (281)
Stable and entropy satisfying approximations for transonic flow calculations (1980) (275)
Heterogeneous multiscale method: A general methodology for multiscale modeling (2003) (272)
Discretization of Dirac delta functions in level set methods (2005) (231)
Computational high frequency wave propagation (2003) (227)
Absorbing Boundary Conditions for Numerical Simulation of Waves (1977) (225)
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers (2010) (222)
BLOWUP OF SOLUTIONS OF THE UNSTEADY PRANDTL'S EQUATION (1997) (203)
Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation (2010) (193)
Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion (2016) (163)
Optimal Discontinuous Galerkin Methods for Wave Propagation (2006) (162)
Triangle based adaptive stencils for the solution of hyperbolic conservation laws (1992) (156)
Heterogeneous multiscale methods for stiff ordinary differential equations (2005) (155)
Application of the Wasserstein metric to seismic signals (2013) (149)
Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions (2009) (147)
Multi-scale Modeling and Computation (2003) (141)
Large Scale Scientific Computing (1987) (135)
A finite element based level-set method for multiphase flow applications (2000) (133)
Absorbing boundary conditions for wave-equation migration (1980) (132)
Fast Directional Multilevel Algorithms for Oscillatory Kernels (2007) (132)
The Heterogeneous Multiscale Method: A Review (2007) (129)
Large-scale computations in fluid mechanics (1985) (120)
Numerical Solution of the High Frequency Asymptotic Expansion for the Scalar Wave Equation (1995) (114)
Regularization Techniques for Numerical Approximation of PDEs with Singularities (2003) (113)
Multi-phase computations in geometrical optics (1996) (110)
Optimal Transport for Seismic Full Waveform Inversion (2016) (109)
Nonlinear filters for efficient shock computation (1989) (105)
Asymptotic and numerical homogenization (2008) (101)
The Convergence Rate of Finite Difference Schemes in the Presence of Shocks (1998) (98)
High-Frequency Wave Propagation by the Segment Projection Method (2002) (96)
Multi-scale methods for wave propagation in heterogeneous media (2009) (96)
Wavelet-Based Numerical Homogenization with Applications (2002) (95)
Fast Wavelet Based Algorithms for Linear Evolution Equations (1994) (90)
Absorbing boundary conditions for domain decomposition (1998) (82)
Parabolic wave equation approxi-mations in heterogeneous media (1988) (82)
The heterogeneous multi-scale method for homogenization problems (2005) (80)
Analysis of optimal transport and related misfit functions in full-waveform inversion (2017) (80)
A fast directional algorithm for high frequency acoustic scattering in two dimensions (2009) (77)
Wavelet-Based Numerical Homogenization (1998) (77)
A Parallel Sweeping Preconditioner for Heterogeneous 3D Helmholtz Equations (2012) (71)
Highly Oscillatory Problems (2009) (70)
Automated lesion detectors in retinal fundus images (2015) (70)
The Heterogeneous Multi-Scale Method (2002) (65)
A multiscale method for highly oscillatory ordinary differential equations with resonance (2008) (63)
Numerical Radiation Boundary Conditions for Unsteady Transonic Flow (1981) (58)
Far field boundary conditions for computation over long time (1988) (57)
Gaussian beam decomposition of high frequency wave fields using expectation-maximization (2009) (51)
Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity (2008) (51)
Backward differentiation approximations of nonlinear differential/algebraic systems (1988) (47)
A Multiscale Method Coupling Network and Continuum Models in Porous Media I: Steady-State Single Phase Flow (2012) (45)
The segment projection method for interface tracking (2003) (42)
Convergence of a Multigrid Method for Elliptic Equations with Highly Oscillatory Coefficients (1997) (42)
A Contribution to Wavelet-Based Subgrid Modeling☆☆☆ (1999) (40)
Minimization of Grid Orientation Effects Through Use of Higher Order Finite Difference Methods (1993) (39)
Large time behavior and homogenization of solutions of two-dimensional conservation laws (1993) (38)
Convergence Analysis of Fully Discrete Finite Volume Methods for Maxwell's Equations in Nonhomogeneous Media (2005) (36)
Full-waveform inversion with an exponentially encoded optimal-transport norm (2017) (35)
Multiscale Methods in Science and Engineering (2005) (34)
Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit (2018) (34)
Multiple Time Scale Numerical Methods for the Inverted Pendulum Problem (2005) (34)
A sweeping preconditioner for time-harmonic Maxwell's equations with finite elements (2012) (34)
Multiscale Methods for Wave Propagation in Heterogeneous Media Over Long Time (2012) (33)
UNIFORMLY HIGH ORDER ACCURATE (33)
PDE Software : Modules, Interfaces and Systems (1984) (31)
Particle method approximation of oscillatory solutions to hyperbolic differential equations (1989) (30)
One-sided difference schemes and transonic flow. (1980) (30)
Numerical simulations of high-speed chemically reacting flow (1994) (29)
Steady state computations for wave propagation problems (1987) (25)
Consistent boundary conditions for the Yee scheme (2008) (25)
Computation of oscillatory solutions to partial differential equations (1987) (24)
A Multiscale Method for Highly Oscillatory Dynamical Systems Using a Poincaré Map Type Technique (2013) (24)
The quadratic Wasserstein metric for inverse data matching (2019) (23)
A Multiscale Method Coupling Network and Continuum Models in Porous Media II—Single- and Two-Phase Flows (2013) (23)
Selected topics in the theory and practice of computational fluid dynamics (1987) (22)
A Multiscale Method for Epitaxial Growth (2011) (21)
Sweeping preconditioners for elastic wave propagation with spectral element methods (2014) (21)
Numerical Multiscale Methods for Coupled Oscillators (2009) (21)
Heterogeneous Multiscale Methods for Interface Tracking of Combustion Fronts (2006) (20)
Simulation and Visualization on the Grid (2000) (20)
A Parallel Directional Fast Multipole Method (2013) (20)
Computational fluid dynamics and reacting gas flows (1988) (20)
Fast directional algorithms for the Helmholtz kernel (2010) (18)
Long-time behaviour of absorbing boundary conditions (1990) (18)
Consistent modeling of boundaries in acoustic finite-difference time-domain simulations. (2012) (18)
Optimal Transport Based Seismic Inversion:Beyond Cycle Skipping (2020) (17)
Oscillatory Systems with Three Separated Time Scales: Analysis and Computation (2012) (17)
A reversible multiscale integration method (2009) (17)
Multiscale methods for the wave equation (2007) (17)
A mathematical model for fitting and predicting relaxation modulus and simulating viscoelastic responses (2018) (16)
Numerical approximation of hyperbolic conservation laws with stiff terms (1991) (16)
Multiscale Computations for Highly Oscillatory Problems (2009) (15)
Multi-scale modeling (2005) (15)
On surface radiation conditions for high-frequency wave scattering (2007) (15)
Seismic inversion and the data normalization for optimal transport (2018) (15)
Computation of oscillatory solutions to hyperbolic differential equations using particle methods (1988) (14)
Seismic imaging and optimal transport (2018) (14)
Numerical Analysis of Multiscale Computations (2012) (14)
New Coarse Grid Operators for Highly Oscillatory Coefficient Elliptic Problems (1996) (13)
A new nonlinear viscoelastic model and mathematical solution of solids for improving prediction accuracy (2020) (13)
High order difference methods for wave propagation in discontinuous media (2006) (13)
Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues (2019) (13)
ABSORBING BOUNDARY CONDITIONS FOR ACOUSTIC AND ELASTIC WAVE (2005) (13)
Multigrid methods for differential equations with highly oscillatory coefficients (1993) (12)
Triangle based TVD schemes for hyperbolic conservation laws. Final report (1990) (12)
Fast sweeping methods for hyperbolic systems of conservation laws at steady state II (2013) (12)
A convection-diffusion-shape model for aberrant colonic crypt morphogenesis (2011) (12)
High Order shock capturing methods (1995) (12)
Automatic Computer Code Generation for Hyperbolic and Parabolic Differential Equations (1980) (12)
Numerical methods for multiscale inverse problems (2014) (11)
Analysis of HMM for One Dimensional Wave Propagation Problems Over Long Time (2011) (11)
Difference and finite element methods for hyperbolic differential equations (1979) (11)
A new type of boundary treatment for wave propagation (2006) (11)
Variable Step Size Multiscale Methods for Stiff and Highly Oscillatory Dynamical Systems (2013) (10)
Near-wall patch representation of wall-bounded turbulence (2018) (10)
Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields (2015) (9)
Sweeping Preconditioner For the 3D Helmholtz Equation (2011) (9)
Iterated averaging of three-scale oscillatory systems (2014) (9)
Biomathematical Model for Simulating Abnormal Orifice Patterns in Colonic Crypts. (2019) (9)
Gaussian Beam Decomposition For Seismic Migration (2011) (9)
Interface Tracking in Two-Phase Flows (2000) (8)
Homogenization Model for Aberrant Crypt Foci (2014) (8)
A Coupled Finite Difference – Gaussian Beam Method for High Frequency Wave Propagation (2012) (8)
Numerical solution of a PDE system describing a catalytic converter (1978) (8)
Numerical Methods for Oscillatory Solutions to Hyperbolic Problems (1993) (7)
Analysis of generalized Schwarz alternating procedure for domain decomposition (1996) (7)
IMA Volumes in Mathematics and its Applications : Computational wave propagation (1997) (7)
Regularization for Accurate Numerical Wave Propagation in Discontinuous Media (2006) (7)
Computational Wave Propagation (1996) (7)
Acta Numerica 2003: Computational high frequency wave propagation (2003) (7)
A parallel sweeping preconditioner for high frequency heterogeneous 3D Helmholtz equations (2012) (7)
Fast algorithm for computing nonlocal operators with finite interaction distance (2019) (6)
Fast Algorithms for High Frequency Wave Propagation (2012) (6)
On energy preserving consistent boundary conditions for the Yee scheme in 2D (2012) (6)
Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization (2016) (5)
Large-Scale Computations in Fluid Mechanics. Lectures in Applied Mathematics Held at San Diego, California on 27 June - 8 July 1983. Volume 22. Part 1, (1985) (5)
A Multiscale Model for Aberrant Crypt Foci (2013) (5)
THE COMPUTATION OF LINEAR DISPERSIVE ELECTROMAGNETIC WAVES (1996) (5)
Multiscale computations for highly oscillatory problems, Multiscale Modeling and Simulation in Science (2009) (5)
A mathematical and Physical Model Improves Accuracy in Simulating Solid Material Relaxation Modulus and Viscoelastic Responses (2014) (5)
Upwind Difference Schemes for Systems of Conservation Laws - Potential Flow Equations. (1981) (5)
Fast Directional Computation for the High Frequency Helmholtz Kernel in Two Dimensions (2008) (5)
Nonuniform Sampling and Multiscale Computation (2013) (4)
A HIGH ORDER ESSENTIALLY NON-OSCILLATORY SHOCK CAPTURING METHOD (1987) (4)
A mathematical model to predict adiabatic temperatures from isothermal heat evolutions with validation for cementitious materials (2015) (4)
The Heterogeneous Multiscale Methods with Application to Combustion (2011) (3)
Multiple time scale methods for the inverted pendulum problem (2005) (3)
Automatic analysis in PDE software (1984) (3)
Projection Generated Homogenization (2002) (3)
DCG - a system for automatic code generation for hyperbolic problems (1975) (3)
Fast integrators for dynamical systems with several temporal scales (2015) (3)
Volumes in Mathematics and its Applications : Computational fluid dynamics and reacting gas flows (1988) (3)
Large-scale computations in fluid mechanics; Proceedings of the Fifteenth Summer Seminar on Applied Mathematics, University of California, La Jolla, CA, June 27-July 8, 1983. Parts 1 & 2 (1985) (3)
A Finite Element Based Level-Set Method for Multiphase Flows (2002) (3)
Multiscale Methods for One Dimensional Wave Propagation with High Frequency Initial Data (2011) (3)
A Generalized Weighted Optimization Method for Computational Learning and Inversion (2022) (2)
Supplement to Backward Differentiation Approximations of Nonlinear Differential/Algebraic Systems (1988) (2)
A multiscale method coupling network and continuum models in porous media I { single phase (cid:13)ow (2011) (2)
DCG: a system for automatic code generation for hyperbolic problems (abstract) (1975) (2)
Parallel in time algorithms for multiscale dynamical systems using interpolation and neural networks (2018) (2)
Improving optimal transport based FWI through data normalization (2019) (2)
After the ‘Golden Age’: What Next? (2001) (2)
Model recovery below reflectors by optimal-transport FWI (2018) (2)
Stochastic and Statistical Methods in Climate, Atmosphere, and Ocean Science (2015) (2)
Effects of resolution inhomogeneity in large-eddy simulation (2020) (2)
Analysis of Optimal Transport Related Misfit Functions in Seismic Imaging (2017) (2)
Numerical techniques for mixed high-low frequency EM-problems (2002) (2)
Convergence of the multigrid method with a wavelet coarse grid operator (1995) (1)
Well-posedness of one-way wave equations (1976) (1)
Heterogeneous multiscale methods for rough-wall laminar viscous flow (2019) (1)
Examples of Error Propagation from Discontinuities (1998) (1)
Finite difference methods for the nonlinear equations of perturbed geometrical optics (1996) (1)
Large-scale computations in fluid mechanics : Proceedings of the fifteenth AMS-SIAM summer seminar on applied mathematics held at Scripps Institution of Oceanography (1985) (1)
A MULTISCALE METHOD FOR WEAKLY COUPLED OSCILLATORS (2007) (1)
Large scale scientific computing : Proceedings of workshop held at the Oberwolfach Mathematical Institute (1987) (1)
On the Effects of Resolution Inhomogeneity in LES (2020) (1)
Iterative gradient-Newton type methods for steady shock computations (1991) (1)
From Numerical Analysis to Computational Science (2001) (1)
Highly Oscillatory Problems: Wavelet-based numerical homogenization (2009) (1)
Open boundary conditions for long time computations (1990) (1)
Neural Inverse Operators for Solving PDE Inverse Problems (2023) (1)
Fast Hybrid Algorithms For High Frequency Scattering (2009) (1)
Simulation and visualization on the grid : Parallelldatorcentrum, Kungl Tekniska Högskolan, seventh annual conference, Stockholm, Sweden, December 1999 : proceedings (2000) (1)
An Algebraically Converging Stochastic Gradient Descent Algorithm for Global Optimization (2022) (1)
Convexity of the quadratic Wasserstein metric as a misfit function for full-waveform inversion (2016) (1)
A new nonlinear viscoelastic model and mathematical solution of solids for improving prediction accuracy (2020) (0)
High Frequency Electromagnetic Propagation/Scattering Codes (1998) (0)
Numerical computation of oscillatory solutions to hyperbolic problems (1991) (0)
1. Methods to Numerically Solve Wave Equations (2012) (0)
BJÖRN ENGQUIST AND (2009) (0)
Effective Boundary Conditions for Viscous Incompressible Flow Over Rough Boundaries (2017) (0)
Adaptive State-Dependent Diffusion for Derivative-Free Optimization (2023) (0)
A parallel sweeping preconditioner for frequency-domain seismic wave propagation (2012) (0)
PDE software : modules, interfaces, and systems : proceedings of the IFIP TC 2 Working Conference on PDE Software--Modules, Interfaces, and Systems, Söderköping, Sweden, 22-26 August, 1983 (1984) (0)
Numerical solution of the unsteady Navier-Stokes equation. Semiannual report (1985) (0)
Proceedings PDC Seventh Annual Conference : Simulation and Visualization on the Grid (2000) (0)
Construction and analysis of paraxial approximations in heterogeneous media (1986) (0)
Computational methods inspired by chemistry: multiscale modeling and mechanisms of control (2005) (0)
Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization (2013) (0)
3 Shock Capturing Methods (2007) (0)
PDE software: modules, interfaces and systems : Proceedings of the third IFIP TC2 working conference held in Soderkoping (1984) (0)
A non body-fitted finite element method for elliptic interface problems (2006) (0)
Multiscale methods for stiff ODE: closure and consistency (2007) (0)
Global boundary conditions and fast Helmholtz solvers (1989) (0)
Inverse imaging methods in exploration seismology (1980) (0)
COMPUTATION OF SMOOTH SURFACE DIFFRACTION FOR INDUSTRIAL APPLICATION (0)
Parallelism in Computational Algorithms and the Physical World (1995) (0)
Projection shock capturing algorithms (1990) (0)
Research in Computing and Applied Mathematics (1992) (0)
Fast directional multilevel solver for integral formulations of wave scattering (2007) (0)
R EVIEW A RTICLE Heterogeneous Multiscale Methods : A Review (2007) (0)
Programme on “ Numerical Analysis of Complex PDE Models in the Sciences ” June 11 – August 17 , 2018 organized (2018) (0)
A finite element based level-set method for multi-phase flow, Proceedings of Conference on Progress in Numerical Solutions of Partial Differential Equations (2002) (0)
Multiscale Modelling of Complex Fluids: Preface (2009) (0)
A multiscale method for weakly coupled non-harmonic oscillators (2008) (0)
Extend the sigmoidal function to a physical model for simulating stress relaxation and deformation of solids (2014) (0)
On Consistent Boundary Conditions for the Yee Scheme in 3D (2012) (0)
High Frequency Electromagnetic Propagation/Scattering (2000) (0)
Refinement of fast wavelet-based algorithms for linear initial value problems (1994) (0)
Far field computational boundary conditions (1989) (0)
Highly Oscillatory Problems: Preface (2009) (0)
ICES REPORT 1301 January 2013 Iterated averaging of three-scale oscillatory systems (0)
Computational Multiscale Methods (2020) (0)
Variable velocity: wave extrapolation and reflection (1977) (0)
A fast algorithm for reiterated homogenization (2013) (0)
Fast directional multilevel computation for problems with oscillatory kernels (2007) (0)
Numerical multiscale methods and effective boundary conditions (2019) (0)
Wavelet-based algorithms for linear initial-value problems (1993) (0)
Third International Conference on Hyperbolic Problems : Proceedings of the conference dedicated to Professor Heinz-Otto Kreiss on his 60th birthday (1991) (0)
A Fixed Grid Finite Element Method for Elliptic Interface Problems (2006) (0)
Numerical solution of high frequency expansion for hyperbolic equations (1994) (0)
In Search of the Optimal Coordinate System in Computational Fluid Dynamics (2006) (0)
Numerical subgrid scale models for the Yee scheme (2012) (0)
A Variational Model for Image Artifact Correction Based on Wasserstein Distance (2017) (0)
Sweeping Preconditioner for the Helmholtz Equation: Artificial Perfectly Matched Layers (2010) (0)
Supplementary material from "A mathematical model for fitting and predicting relaxation modulus and simulating viscoelastic responses" (2018) (0)
Triangle Based TVD (Total Variation Diminishing) Schemes for Hyperbolic Conversation Laws (1990) (0)
Hyperbolic Problems : Theory, Numerical Methods and Applications (1991) (0)
International Conference on Scientific Computing, Partical Differential Equations and Image Processing (2002) (0)

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