Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression

Publication date: Available online 29 September 2023Source: Journal of Computational PhysicsAuthor(s): Fleurianne Bertrand, Daniele Boffi, Abdul Halim Continue reading Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression

Physics-Informed Neural Networks for Approximating Dynamic (Hyperbolic) PDEs of Second Order in Time: Error Analysis and Algorithms

Publication date: Available online 4 October 2023Source: Journal of Computational PhysicsAuthor(s): Yanxia Qian, Yongchao Zhang, Yunqing Huang, Suchuan Dong Continue reading Physics-Informed Neural Networks for Approximating Dynamic (Hyperbolic) PDEs of Second Order in Time: Error Analysis and Algorithms

A kinetic energy and entropy preserving (KEEP) finite volume scheme on unstructured meshes for compressible flows

Publication date: Available online 4 October 2023Source: Journal of Computational PhysicsAuthor(s): Yuichi Kuya, Wataru Okumura, Keisuke Sawada Continue reading A kinetic energy and entropy preserving (KEEP) finite volume scheme on unstructured meshes for compressible flows

Covariance models and Gaussian process regression for the wave equation. Application to related inverse problems

Publication date: Available online 4 October 2023Source: Journal of Computational PhysicsAuthor(s): I. Henderson, P. Noble, O. Roustant Continue reading Covariance models and Gaussian process regression for the wave equation. Application to related inverse problems