Results 11 to 20 of about 37,022 (174)
Hyper-Differential Sensitivity Analysis of Inverse Problems Governed by PDEs.
Proposed for presentation at the Joint Mathematics Meetings 2022 held January 5-8, 2022 in Seattle, Washington United State of America, 2021 Isaac Sunseri +3 more
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Mathematics, 2023 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
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Қарағанды университетінің хабаршысы. Математика сериясы, 2022 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
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An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. [PDF]
PLoS ONE, 2014 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
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Applied Sciences, 2023 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
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On an inverse problem for a nonlinear third order in time partial differential equation
Results in Applied Mathematics, 2022 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
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FDM data driven U-Net as a 2D Laplace PINN solver
Scientific Reports, 2023 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
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Asymptotic expansion regularization for inverse source problems in two-dimensional singularly perturbed nonlinear parabolic PDEs [PDF]
CSIAM Transactions on Applied Mathematics, 2022 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
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Inverse Problems, 2021 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
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Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs [PDF]
SIAM Journal on Scientific Computing, 2020 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
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