Results 61 to 70 of about 676,988 (164)
Well-posedness in vector optimization and scalarization results [PDF]
In this paper, we give a survey on well-posedness notions of Tykhonov's type for vector optimization problems and the links between them with respect to the classification proposed by Miglierina, Molho and Rocca in [33].
Rocca Matteo, Papalia Melania
core
Ill-posedness of nonlocal Burgers equations [PDF]
, 2011 International audienceNonlocal generalizations of Burgers equation were derived in earlier work by Hunter [Contemp. Math. 1989], and more recently by Benzoni-Gavage and Rosini [Comput. Math. Appl.
Nikolay Tzvetkov +5 more
core +1 more source
NMR in Biomedicine, Volume 39, Issue 10, October 2026.The combination of velocity‐compensated diffusion encoding, spiral readout and strong gradients enabled high‐quality prostate IVIM imaging, offering a promising framework for the development of reliable IVIM‐based biomarkers for prostate cancer detection, characterisation and monitoring.
Malwina Molendowska +6 more
wiley +1 more source
Stability Analysis of the EFIE-IBC Formulation and Regularization via Spatial Filtering
IEEE Open Journal of Antennas and PropagationThe Impedance Boundary Condition (IBC) is a homogenization approximation of great importance, especially in the design of metasurfaces. However, the standard Electric-Field Integral-Equation formulation of the IBC boundary-value problem (EFIE-IBC) has ...
Margaux Bruliard +2 more
doaj +1 more source
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.Abstract We propose a variational autoencoder framework to directly assess uncertainties in subsurface models produced by single‐ and multiparameter full waveform inversion (FWI). The new method does not require pretraining on labeled data, thus it significantly reduces computational cost and storage requirements.
Abdelrahman Elmeliegy +4 more
wiley +1 more source
Remark on well-posedness and ill-posedness for the KdV equation
Electronic Journal of Differential Equations, 2010 We consider the Cauchy problem for the KdV equation with low regularity initial data given in the space $H^{s,a}(mathbb{R})$, which is defined by the norm $$ | varphi |_{H^{s,a}}=| langle xi angle^{s-a} |xi|^a widehat{varphi} |_{L_{xi}^2}.
Takamori Kato
doaj
Dam Management in the Era of Climate Change
Mathematical Finance, Volume 36, Issue 4, Page 870-895, October 2026.ABSTRACT Climate change has a dramatic impact, particularly by concentrating rainfall into a few short periods, interspersed with long dry spells. In this context, the role of dams is crucial. We consider the optimal control of a dam, where the water level must neither exceed a designated safety threshold nor fall below a minimum level to ensure ...
Cristina Di Girolami +3 more
wiley +1 more source
On ill-posedness concepts, stable solvability and saturation
, 2017 We consider different concepts of well-posedness and ill-posedness and their relations for solving nonlinear and linear operator equations in Hilbert spaces.
Bernd Hofmann, Robert Plato
core +1 more source
Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur +5 more
wiley +1 more source
Ill-posedness of time-dependent inverse problems in Lebesgue-Bochner spaces
, 2023 We consider time-dependent inverse problems in a mathematical setting using Lebesgue-Bochner spaces. Such problems arise when one aims to recover parameters from given observations where the parameters or the data depend on time.
Schuster, Thomas +2 more
core +1 more source