Results 81 to 90 of about 3,427 (187)
The Application of Piecewise Regularization Reconstruction to the Calibration of Strain Beams
SensorsStandard beams are mainly used for the calibration of strain sensors using their load reconstruction models. However, as an ill-posed inverse problem, the solution to these models often fails to converge, especially when dealing with dynamic loads of ...
Jingjing Liu +7 more
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Wavelength and Polarization Multiplexed Nonlocal Metasurface for Quantitative Phase Microscopy
Nanophotonics, Volume 15, Issue 13, 13 July 2026.A nonlocal metasurface with wavelength and polarization multiplexed optical transfer functions is demonstrated for performing quantitative phase imaging. The metasurface uses the angular dispersion of optical routing guided mode resonances to extract phase gradient information along different directions for phase retrieval. ABSTRACT Imaging transparent
Haiwei Wang +8 more
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Boundary Value ProblemsThis research studies the inverse boundary value problem for fractional elliptic equation of Tricomi–Gellerstedt–Keldysh type and obtains a condition stability result.
Xiao Zhang
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IEEE Access, 2018 Particle size distribution (PSD) measurement based on the static light scattering method has been widely used in the environmental field and combustion diagnostics, such as PM2.5 measurement and combustion process monitoring.
Ming Kong +3 more
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Reconstruction of a source term in a parabolic integro-differential equation from final data
Mathematical Modelling and Analysis, 2011 The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method.
Kairi Kasemets, Jaan Janno
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Tikhonov regularized exterior penalty methods for hierarchical variational inequalities
2025 IEEE 64th Conference on Decision and Control (CDC)We consider nested variational inequalities con- sisting in a (upper-level) variational inequality whose feasible set is given by the solution set of another (lower-level) variational inequality. This class of hierarchical equilibrium contains a wealth of important applications, including purely hierarchical convex bilevel optimization problems and ...
Meggie Marschner, Mathias Staudigl
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On a Stochastic Regularization Technique for Ill-Conditioned Linear Systems
Open Engineering, 2019 Knowledge about the input–output relations of a system can be very important in many practical situations in engineering. Linear systems theory comes from applied mathematics as an efficient and simple modeling technique for input–output systems ...
Moura Henrique Gomes +3 more
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Jixie qiangduTo improve the accuracy and efficiency of load identification and structural response reconstruction, an improved Tikhonov regularization method that simultaneously considers transfer matrix error and measurement error was proposed.
GAO Kele, YIN Hong, PENG Zhenrui
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MathematicsIll-posed problems arise in many areas of science and engineering. Tikhonov is a usual regularization which replaces the original problem by a minimization problem with a fidelity term and a regularization term.
Shi-Wei Wang, Guang-Xin Huang, Feng Yin
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Approximate controllability of a semilinear delayed heat equation Tikhonov regularization
Современная математика: Фундаментальные направленияIn this work, we study approximate controllability of a semilinear heat equation with delay using the Tikhonov regularization. The considered problem for partial differential equation is transformed into an equivalent operator equation.
S. Kumar
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