Results 11 to 20 of about 856 (206)

Image compression with anisotropic diffusion [PDF]

, 2008
Compression is an important field of digital image processing where well-engineered methods with high performance exist. Partial differential equations (PDEs), however, have not much been explored in this context so far. In our paper we introduce a novel
Welk, Martin, Seidel, Hans-Peter, Gali´c, Irene, Seidel, Hans Peter, Joachim Weickert, Weickert, Joachim, Irena Galić, Hans-Peter Seidel, Belyaev, A., Galic, I., Andrés Bruhn, Bruhn, Andrés, Belyaev, Alexander, Alexander Belyaev, Bruhn, A., Seidel, H. ; https://orcid.org/, Galic, Irena, Martin Welk, Welk, M., Weickert, J.   +19 more
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Approximation of Bayesian inverse problems for PDEs [PDF]

, 2010
Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh, Cotter, Simon L., Dashti, M., Cotter, Simon, Cotter, S. L.; id_orcid, Stuart, Andrew, Cotter, S. L., Stuart, A. M.   +7 more
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An introduction to variational methods [PDF]

, 2023
In this talk, we will introduce the variational approach to the study of equations. To get started, we will review the spectral theory of symmetric real matrices and the min-max principle for eigenvalues.
Galant, Damien
core  

Adaptive non-intrusive reconstruction of solutions to high-dimensional parametric PDEs

, 2021
Numerical methods for random parametric PDEs can greatly benefit from adaptive refinement schemes, in particular when functional approximations are computed as in stochastic Galerkin and stochastic collocations methods.
Trunschke, Philipp, Nando Farchmin, Farchmin, Nando, Martin Eigel, Sebastian Heidenreich, Philipp Trunschke, Heidenreich, Sebastian, Eigel, Martin   +7 more
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Variational methods for PDEs aplied to stochastic partial differential equations

MATHEMATICA SCANDINAVICA, 1998
We combine white noise analysis and variational methods for partial differential equations to study stochastic partial differential equations. The equations are studied in the Kondratiev spaces of stochastic distributions. A new estimate on the Wick product in these spaces is shown.
openaire   +3 more sources

Analytical simulation of the nonlinear Caputo fractional equations

Partial Differential Equations in Applied Mathematics
Partial differential equations (PDEs), particularly those involving fractional derivatives, have garnered considerable attention due to their ability to model complex systems with memory and hereditary properties.
Ali Ahadi, Seyed Mostafa Mousavi, Amir Mohammad Alinia, Hossein Khademi   +3 more
doaj   +1 more source

Variational Bayesian approximation of inverse problems using sparse precision matrices

, 2022
Inverse problems involving partial differential equations (PDEs) are widely used in science and engineering. Although such problems are generally ill-posed, different regularisation approaches have been developed to ameliorate this problem. Among them is
Kazlauskaite, Ieva, Cirak, Fehmi, Povala, Jan, Febrianto, Eky, Girolami, Mark   +4 more
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Newton type methods for solving a Hasegawa–Mima plasma model [PDF]

, 2023
In Karakazian and Nassif (2019), the non-linear space-time Hasegawa–Mima plasma equation is formulated as a coupled system of two linear PDEs, a solution of which is a pair (u,w), with w=(I−Δ)u.
Nabil R. Nassif, Nassif, Nabil R., Sophie M. Moufawad, Moufawad, Sophie M.   +3 more
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Reliability-Oriented Modeling of Bellows Compensators: A Comparative PDE-Based Study Using Finite Difference and Finite Element Methods

Mathematics
Bellows compensators are critical components in pipeline systems, designed to absorb thermal expansions, vibrations, and pressure reflections. Ensuring their operational reliability requires accurate prediction of the stress–strain state (SSS) and ...
Yerzhan Y. Sarybayev, Doszhan Y. Balgayev, Denis Y. Tkachenko, Nikita V. Martyushev, Boris V. Malozyomov, Baurzhan S. Beisenov, Svetlana N. Sorokova   +6 more
doaj   +1 more source

Long‐Range Coordination Environment Modulates Single‐Atom Local States and Systemic Impact on CO2 Photoconversion

Advanced Functional Materials, EarlyView.
Terminal groups on Cu porphyrins modulate the electronic states of single‐atom Cu centers through a long‐range electronic effect, without altering the Cu coordination geometry. Meanwhile, a multi‐descriptor framework is established that incorporates porphyrin regulation, hybrid catalyst properties, and CO2 photoreduction capabilities.
Yi Zhang, Jintao Dong, Xiahe Chen, Xiyang Wang, Tiange Wei, Yue Zhu, Tai‐Sing Wu, Yun‐Fang Yang, Shao‐Yuan Leu, Keke Wang, Yuanbin She, Huaming Li, Jiexiang Xia, Molly Meng‐Jung Li   +13 more
wiley   +1 more source