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Engquist’s research focuses on development, analysis and application of numerical methods for differential equations. His earlier work includes the development of absorbing or far field boundary conditions, homogenization theory and nonlinear high-resolution schemes for compressible fluid dynamics. Application areas have been acoustic and electromagnetic wave propagation, aerodynamics and flow in porous media. More recently he has been working on computational multi-scale methods and in particular the development of the Heterogeneous Multi-scale Method. Another recent focus is fast algorithms for wave propagation with applications in seismology. The application to seismology includes novel algorithms for seismic inversion.
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Communications on Applied Mathematics and Computation (2024): 1-29
arxiv(2023)
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75 Years of Mathematics of Computationpp.115-139, (2020)
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