What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (38.54%)
- Applied mathematics (28.29%)
- Numerical analysis (15.12%)
What were the highlights of his more recent work (between 2015-2021)?
- Applied mathematics (28.29%)
- Wasserstein metric (8.29%)
- Quadratic equation (6.83%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- 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)
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