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- Björn Engquist

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
54
Citations
21,238
177
World Ranking
599
National Ranking
313

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

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

His scientific interests lie mostly in Mathematical analysis, Computation, Boundary value problem, Partial differential equation and Hidden Markov model. His Computational mathematics, Differential equation, Conservation law, Numerical stability and Helmholtz equation investigations are all subjects of Mathematical analysis research. His Computation research includes themes of Computational complexity theory, Wasserstein metric and Fast multipole method.

Björn Engquist interconnects Computer simulation and Wave equation in the investigation of issues within Boundary value problem. His biological study spans a wide range of topics, including Wave propagation, Wavefront and Geometrical optics. His work carried out in the field of Hidden Markov model brings together such families of science as Dynamical systems theory, Statistical physics, Data mining and Information and Computer Science.

- Absorbing boundary conditions for the numerical simulation of waves (2127 citations)
- Radiation boundary conditions for acoustic and elastic wave calculations (640 citations)
- The Heterognous Multiscale Methods (627 citations)

Björn Engquist mainly focuses on Mathematical analysis, Applied mathematics, Numerical analysis, Boundary value problem and Partial differential equation. Björn Engquist usually deals with Mathematical analysis and limits it to topics linked to Nonlinear system and Conservation law. His work on Wasserstein metric is typically connected to Homogenization as part of general Applied mathematics study, connecting several disciplines of science.

His study on Neumann boundary condition and Boundary conditions in CFD is often connected to Factorization as part of broader study in Boundary value problem. His Partial differential equation research incorporates elements of Approximations of π, Grid and Eikonal equation. His Computational mathematics research is multidisciplinary, incorporating elements of Wave propagation and Information and Computer Science.

- Mathematical analysis (38.54%)
- Applied mathematics (28.29%)
- Numerical analysis (15.12%)

- Applied mathematics (28.29%)
- Wasserstein metric (8.29%)
- Quadratic equation (6.83%)

His primary areas of investigation include Applied mathematics, Wasserstein metric, Quadratic equation, Convexity and Inverse problem. His study in the fields of Fractional calculus under the domain of Applied mathematics overlaps with other disciplines such as Seismic inversion. In his work, Maxima and minima, Algorithm and Mathematical optimization is strongly intertwined with Geophysical imaging, which is a subfield of Wasserstein metric.

The Quadratic equation study which covers Normalization that intersects with Seismic wave. His research integrates issues of Partial differential equation and Wave equation in his study of Constrained optimization. His Mathematical analysis study combines topics from a wide range of disciplines, such as Amplitude, Green's function and Optimal cost.

- Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion (93 citations)
- Optimal transport for seismic full waveform inversion (57 citations)
- Analysis of optimal transport and related misfit functions in full-waveform inversion (47 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Absorbing Boundary Conditions for Numerical Simulation of Waves

Björn Engquist;Andrew Majda.

Proceedings of the National Academy of Sciences of the United States of America **(1977)**

4065 Citations

Absorbing boundary conditions for the numerical simulation of waves

Bjorn Engquist;Andrew Majda.

Mathematics of Computation **(1977)**

3463 Citations

Absorbing boundary conditions for acoustic and elastic wave equations

Robert Clayton;Björn Engquist.

Bulletin of the Seismological Society of America **(1977)**

1814 Citations

Radiation boundary conditions for acoustic and elastic wave calculations

Bjorn Engquist;Andrew Majda.

Communications on Pure and Applied Mathematics **(1979)**

1034 Citations

The Heterognous Multiscale Methods

Weinan E;Bjorn Engquist.

Communications in Mathematical Sciences **(2003)**

694 Citations

Heterogeneous multiscale methods: A review

Weinan E;Bjorn Engquist;Xiantao Li;Weiqing Ren.

Communications in Computational Physics **(2007)**

630 Citations

One-sided difference approximations for nonlinear conservation laws

Bj{örn Engquist;Stanley Osher.

Mathematics of Computation **(1981)**

539 Citations

The heterogeneous multiscale method

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

Acta Numerica **(2012)**

482 Citations

The Heterogeneous Multiscale Method: A Review

Weinan E;Bjorn Engquist;Xiantao Li;Weiqing Ren.

**(2007)**

441 Citations

Stable and entropy satisfying approximations for transonic flow calculations

Bj{örn Engquist;Stanley Osher.

Mathematics of Computation **(1980)**

415 Citations

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