Results 141 to 150 of about 2,057 (240)

CUQIpy: II. Computational uncertainty quantification for PDE-based inverse problems in Python [PDF]

Inverse problems, particularly those governed by Partial Differential Equations (PDEs), are prevalent in various scientific and engineering applications, and uncertainty quantification (UQ) of solutions to these problems is essential for informed ...
Alghamdi, Amal M A, Uribe, Felipe, Christian Hansen, Per, Afkham, Babak M, Christensen, Silja L, Riis, Nicolai A B, Jørgensen, Jakob S, Hansen, Per Christian   +7 more
core   +2 more sources

A multi-layer neural network-based evaluation of MHD radiative heat transfer in Eyring–Powell fluid model

Heliyon
In the modern era, artificial intelligence (AI) has been applied as one of the transformative factors for scientific research in many fields that could provide new solutions to extremely complicated and complex physical models.
Muflih Alhazmi, Zahoor Shah, Muhammad Asif Zahoor Raja, Nafisa A. Albasheir, Maryam Jawaid   +4 more
doaj   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, Volume 8, Issue 7, July 2026.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Inverse Source Problems for Wave Propagation [PDF]

, 2019
Source problems play an important and unique role in PDEs. More specifically, inverse source scattering problem arises in many areas of science. It has numerous applications to medical imaging and geophysics, acoustical and bio-medical industries ...
Entekhabi, Nora
core   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Inverse source problems in thermoelasticity [PDF]

In thermoelasticity, a parabolic equation for the temperature and a hyperbolic equation for the displacement of a body are coupled. In this research summary, an overview of the uniqueness results on inverse source problems in this setting is provided.In ...
Torebek, BerikboleditorUGent8020031341468710030321020000-0002-2354-237758CB7C6A-654A-11E9-8DA5-0B6A5607D3EF, Ruzhansky, MichaeleditorWE168020029013460000-0001-8633-55708B63EA9E-C5C8-11E8-8987-A2685607D3EF, Van Bockstal, KarelWE160020041042668020008579790000-0002-1898-7611165072B4-F0EE-11E1-A9DE-61C894A0A6B4   +2 more
core  

Unsteady MHD Heat Transfer of a Casson–Williamson Ternary Hybrid Nanofluid Over a Biaxially Stretching/Shrinking Sheet With Cattaneo–Christov Heat Flux and Multi‐Mode Thermal Radiation

Engineering Reports, Volume 8, Issue 7, July 2026.
A numerical study of Casson–Williamson ternary hybrid nanofluid flow reveals that magnetic effects enhance transverse velocity while suppressing axial components, and increased thermal relaxation reduces heat transfer rates under multiple radiation models, highlighting improved control of thermal performance in advanced engineering and electronics ...
Khaled Matarneh, Yousra Nazneen, Muhammad Rooman, Zahir Shah, Meshal Shutaywi   +4 more
wiley   +1 more source

Research on Key Technologies of Embedded Systems in Building Health Monitoring and Structural Safety Assessment

Engineering Reports, Volume 8, Issue 7, July 2026.
KSGVM‐Based SHM Framework. ABSTRACT Structural Health Monitoring (SHM) is crucial for ensuring the safety and longevity of civil infrastructure by providing real‐time data on the condition of structures. Existing SHM systems struggle for simulating dynamic situations and intricate geometry, while using Partial Differential Equations (PDEs) and ...
Yachun Hu, Jianshe Zhang
wiley   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

Solving Inverse PDE Problems using Minimization Methods and AI

CoRR
52 pages, 21 Figures, 22 ...
Noura Al Helwani, Sophie Moufawad, Georges Sakr   +2 more
openaire   +2 more sources