3.7k citations
- New York UniversityUS1.4k papers
- Princeton UniversityUS89 papers
- Centre National de la Recherche ScientifiqueFR79 papers
- New York University ShanghaiCN55 papers
- University of ChicagoUS50 papers
- Flatiron Institute46 papers
- New York University Abu DhabiAE46 papers
- Massachusetts Institute of TechnologyUS43 papers
- University of Maryland, College ParkUS40 papers
- Flatiron Health (United States)US38 papers
- Simons FoundationUS38 papers
- Stanford UniversityUS38 papers
6 papers · 2 filters
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary
Carlos Borges, Manas Rachh, Leslie Greengard
The acoustic inverse obstacle scattering problem consists of determining the shape of a domain from measurements of the scattered far field due to some set of incident fields (prob…
Numerical geometric acoustics: an eikonal-based approach for modeling sound propagation in 3D environments
Samuel F. Potter, Maria K. Cameron, Ramani Duraiswami
We present algorithms for solving high-frequency acoustic scattering problems in complex domains. The eikonal and transport partial differential equations from the WKB/geometric op…
Adjoint DSMC for Nonlinear Spatially-Homogeneous Boltzmann Equation With a General Collision Model
Yunan Yang, Denis Silantyev, Russel Caflisch
We derive an adjoint method for the Direct Simulation Monte Carlo (DSMC) method for the spatially homogeneous Boltzmann equation with a general collision law. This generalizes our…
Robust and efficient primal-dual Newton-Krylov solvers for viscous-plastic sea-ice models
Yu-hsuan Shih, Carolin Mehlmann, Martin Losch +1
We present a Newton-Krylov solver for a viscous-plastic sea-ice model. This constitutive relation is commonly used in climate models to describe the material properties of sea ice.…
Neural Galerkin Schemes with Active Learning for High-Dimensional Evolution Equations
Joan Bruna, Benjamin Peherstorfer, Eric Vanden-Eijnden
Deep neural networks have been shown to provide accurate function approximations in high dimensions. However, fitting network parameters requires informative training data that are…
Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods
Quirin Aumann, Steffen W. R. Werner
Vibration and dissipation in vibro-acoustic systems can be assessed using frequency response analysis. Evaluating a frequency sweep on a full-order model can be very costly, so mod…