Results 11 to 20 of about 37,022 (174)
Hyper-Differential Sensitivity Analysis of Inverse Problems Governed by PDEs.
Isaac Sunseri +3 more
openalex +2 more sources
Physics-informed neural networks (PINNs) provide a new approach to solving partial differential equations (PDEs), while the properties of coupled physical laws present potential in surrogate modeling.
Meijun Zhou, Gang Mei, Nengxiong Xu
doaj +1 more source
Derivatives in time of higher order (more than two) arise in various fields such as acoustics, medical ultrasound, viscoelasticity and thermoelasticity.
M.J. Huntul, I. Tekin
doaj +1 more source
An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. [PDF]
In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is ...
Jamshad Ahmad, Syed Tauseef Mohyud-Din
doaj +1 more source
Numerical methods, such as finite element or finite difference, have been widely used in the past decades for modeling solid mechanics problems by solving partial differential equations (PDEs).
Yawen Deng +5 more
doaj +1 more source
On an inverse problem for a nonlinear third order in time partial differential equation
In this article, first we convert an inverse problem of determining the unknown timewise terms of nonlinear third order in time partial differential equation (PDE) from knowledge of two boundary measurements to the auxiliary system of integral equations.
M.J. Huntul, I. Tekin
doaj +1 more source
FDM data driven U-Net as a 2D Laplace PINN solver
Efficient solution of partial differential equations (PDEs) of physical laws is of interest for manifold applications in computer science and image analysis. However, conventional domain discretization techniques for numerical solving PDEs such as Finite
Anto Nivin Maria Antony +2 more
doaj +1 more source
Asymptotic expansion regularization for inverse source problems in two-dimensional singularly perturbed nonlinear parabolic PDEs [PDF]
In this paper, we develop an asymptotic expansion-regularization (AER) method for inverse source problems in two-dimensional nonlinear and nonstationary singularly perturbed partial differential equations (PDEs).
D. Chaikovskii, A. Liubavin, Ye Zhang
semanticscholar +1 more source
We present a review of methods for optimal experimental design (OED) for Bayesian inverse problems governed by partial differential equations with infinite-dimensional parameters.
A. Alexanderian
semanticscholar +1 more source
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs [PDF]
Hessian operators arising in inverse problems governed by partial differential equations (PDEs) play a critical role in delivering efficient, dimension-independent convergence for both Newton solution of deterministic inverse problems, as well as Markov ...
Ilona Ambartsumyan +7 more
semanticscholar +1 more source

