Nettet24. aug. 2024 · We propose to solve high-dimensional PDEs by approximating the solution with a deep neural network which is trained to satisfy the differential operator, initial condition, and boundary conditions. Our algorithm is meshfree, which is key since meshes become infeasible in higher dimensions. Nettet15. jan. 2024 · In previous work, the physics-informed generative adversarial networks were employed to quantify parametric uncertainty [10], and also polynomial chaos expansions in conjunction with dropout were utilized to quantify total uncertainty [9].In addition, approaches using the Bayesian inference for quantifying uncertainties of PDE …
Journal of Partial Differential Equations JPDE - Global Sci
Nettet18. aug. 2006 · A level set formulation is presented to characterize a maximal solution of the Cauchy problem for the Hamilton-Jacobi equation with semicontinuous initial data in an explicit way. No convexity assu... Nettet13. jun. 2024 · Modeling the Dynamics of PDE Systems with Physics-Constrained Deep Auto-Regressive Networks. Nicholas Geneva, Nicholas Zabaras. In recent years, deep … my printing history
Journal Rankings on Analysis
Nettet6. apr. 2024 · Subjects: Analysis of PDEs (math.AP) [3] arXiv:2304.03134 [ pdf, ps, other] A turbulent study for a damped Navier-Stokes equation: turbulence and problems Diego Chamorro (LaMME), Oscar Jarrín Subjects: Analysis of PDEs (math.AP) [4] arXiv:2304.03118 [ pdf, other] Early-warning inverse source problem for the elasto … Nettet24. mar. 2024 · Aims & scope. Journal updates. Partial Differential Equations and Applications (PDEA) offers a single platform for all PDE-based research, bridging the … Nettet1. des. 2024 · The Poisson’s Partial Differential Equation (PPDEs) is known as the generalization of a famous Laplace’s Equation. The aforementioned differential equation is an elliptic in nature and frequently used in theoretical physics. The consider equation shows linkage between potential difference and volume charge density. the selected owner is invalid for workflow