2018/01/01 by Donsub Rim · 1 citation
Physics and Astronomy · Decision Sciences · Engineering · Mathematics · #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #Numerical methods in engineering #Mathematics #Partial differential equation #Generalization #Hyperbolic partial differential equation #Radon transform #Interpolation (computer graphics) #Mathematical analysis #Variety (cybernetics) #Boundary value problem #Focus (optics) #Boundary (topology) #Applied mathematics #Extension (predicate logic) #Image (mathematics) #Computer science
paper · doi:10.1137/17m1135633
openalex publication_date 2018/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a dimensional splitting method based on the intertwining property of the Radon transform, with a particular focus on its applications related to hyperbolic partial differential equations. This dimensional splitting has remarkable properties that make it useful in a variety of contexts, including multidimensional extension of large time-step methods, absorbing boundary conditions, displacement interpolation, and multidimensional generalization of transport reversal [Rim, Moe, and LeVeque, SIAM/ASA J. Uncertain. Quantif., 6 (2018), pp. 118--150].