2026 Björn Engquist: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	61	496	418	258	203	192	28226

Research.com Recognitions

2015 - Fellow of the American Academy of Arts and Sciences
2010 - SIAM Fellow For contributions to numerical analysis and multiscale modeling.
1991 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Björn Engquist is affiliated with The University of Texas at Austin in the United States. Their research spans multiple disciplines, primarily within Engineering and Computer Science. The focus areas include Computational Mechanics, Artificial Intelligence, Geophysics, Computational Theory and Mathematics, and Mechanics of Materials.

The main topics of Björn Engquist's work cover Advanced Mathematical Modeling in Engineering, Composite Material Mechanics, Advanced Numerical Methods in Computational Mathematics, Stochastic Gradient Optimization Techniques, Seismic Imaging and Inversion Techniques, Seismic Waves and Analysis, and Fluid Dynamics and Turbulent Flows.

The scientist has published research in various venues, with frequent publications in:

arXiv (Cornell University)
Communications in Mathematical Sciences
Oberwolfach Reports
Multiscale Modeling and Simulation
Communications on Pure and Applied Mathematics

Notable recent papers include:

Optimal Transport Based Seismic Inversion: Beyond Cycle Skipping (2021), published in Communications on Pure and Applied Mathematics
A new nonlinear viscoelastic model and mathematical solution of solids for improving prediction accuracy (2020), published in Scientific Reports
Effects of resolution inhomogeneity in large-eddy simulation (2021), published in Physical Review Fluids
Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues (2020), published in Contemporary Mathematics - American Mathematical Society
Neural Inverse Operators for Solving PDE Inverse Problems (2023), published in arXiv (Cornell University)

Frequent co-authors collaborating with Björn Engquist include:

Yunan Yang
Kui Ren
Sean P. Carney
Robert Moser
Daniel Peterseim

Their work has been recognized by multiple awards, including:

Fellow of the American Academy of Arts and Sciences (2015)
SIAM Fellow (2010) for contributions to numerical analysis and multiscale modeling
Fellow of John Simon Guggenheim Memorial Foundation (1991)

Best Publications

Absorbing Boundary Conditions for Numerical Simulation of Waves

Björn Engquist;Andrew Majda

4159
Citations
Absorbing boundary conditions for the numerical simulation of waves

Bjorn Engquist;Andrew Majda

3567
Citations
Uniformly high order accurate essentially non-oscillatory schemes, 111

Unknown

3067
Citations
Absorbing boundary conditions for acoustic and elastic wave equations

Robert Clayton;Björn Engquist

1935
Citations
Uniformly high order accuracy essentially non-oscillatory schemes III

Unknown

1153
Citations
Radiation boundary conditions for acoustic and elastic wave calculations

Bjorn Engquist;Andrew Majda

1081
Citations
The Heterognous Multiscale Methods

Weinan E;Bjorn Engquist

800
Citations
Heterogeneous multiscale methods: A review

Weinan E;Bjorn Engquist;Xiantao Li;Weiqing Ren

697
Citations
The heterogeneous multiscale method

Assyr Abdulle;Weinan E;Weinan E;Björn Engquist;Eric Vanden-Eijnden

576
Citations
One-sided difference approximations for nonlinear conservation laws

Bj{örn Engquist;Stanley Osher

565
Citations
The Heterogeneous Multiscale Method: A Review

Weinan E;Bjorn Engquist;Xiantao Li;Weiqing Ren

451
Citations
Some results on uniformly high-order accurate essentially nonoscillatory schemes

Ami Harten;Stanley Osher;Björn Engquist;Sukumar R. Chakravarthy

428
Citations
Stable and entropy satisfying approximations for transonic flow calculations

Bj{örn Engquist;Stanley Osher

416
Citations
Numerical approximations of singular source terms in differential equations

Anna-Karin Tornberg;Björn Engquist

345
Citations
Heterogeneous multiscale method: A general methodology for multiscale modeling

Weinan E;Bjorn Engquist;Zhongyi Huang

314
Citations
Computational high frequency wave propagation

Björn Engquist;Olof Runborg

290
Citations
Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion

Yunan Yang;Björn Engquist;Junzhe Sun;Brittany F. Hamfeldt

287
Citations
Discretization of Dirac delta functions in level set methods

Björn Engquist;Anna-Karin Tornberg;Richard Tsai

287
Citations
Regular ArticleUniformly High Order Accurate Essentially Non-oscillatory Schemes, III

Ami Harten;Bjorn Engquist;Stanley Osher;Sukumar R. Chakravarthy

284
Citations
Absorbing boundary conditions for wave-equation migration

Robert W. Clayton;Björn Engquist

280
Citations
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers

Björn Engquist;Lexing Ying

278
Citations
Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation

Björn Engquist;Lexing Ying

243
Citations

Frequent Co-Authors

Lexing Ying Stanford University

Stanley Osher University of California, Los Angeles

Weinan E Princeton University

Andrew J. Majda Courant Institute of Mathematical Sciences

Eric Vanden-Eijnden Courant Institute of Mathematical Sciences

Louis J. Durlofsky Stanford University

Hongkai Zhao Duke University

Qiang Du Columbia University

Sergey Fomel The University of Texas at Austin

Maša Prodanović The University of Texas at Austin

External Links

Wikipedia of Björn Engquist Personal website of Björn Engquist Google Scholar page

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