Sarlet, Willy
We perform a systematic study and classification of the possibility to decouple a class of second-order differential equations which have quadratic terms, either in the velocities or in the coordinates, plus linear damping terms. Our basic approach is the existing coordinate-free theory for the characterization of separable systems. But the focus o...
alcoba, matias andrieu, hervé gosset, marielle
A method that formulates the retrieval of drop size distribution (DSD) parameters from polarimetric radar variables at attenuating frequency as the solution of an inverse problem is presented. The DSD in each radar bin is represented by a normalized Gamma distribution defined by three parameters (Dm,N0*,μ). The direct problem that describes polarim...
Goutaudier, Dimitri Gendre, Didier Kehr-Candille, Véronique Ohayon, Roger
Impact identification is a major concern in structural health monitoring. It consists in localizing the impact point and in reconstructing the applied load history from indirect measurements. However, it is well-known that this double inverse problem is ill-posed. In this paper, a single-sensor approach for quickly localizing a Dirac-like impact an...
Goutaudier, Dimitri Gendre, Didier Kehr-Candille, Véronique Ohayon, Roger
This study presents a novel strategy for identifying an impact event on a structure from vibration measurements. Compared to triangulation techniques that require at least three sensors on a plate-like structure, only one sensor is used in this work for localizing the impact point. The proposed approach consists in extracting specific modal pondera...
Hajdu, S. Mestdag, Tom
We recall the notion of Jacobi fields, as it was extended to systems of second-order ordinary differential equations. Two points along a base integral curve are conjugate if there exists a nontrivial Jacobi field along that curve that vanishes on both points. Based on arguments that involve the eigendistributions of the Jacobi endomorphism, we disc...
Escolle, C. Michau, Vincent Ferrari, Marc Fusco, Thierry Hugot, E.
The estimation of the misalignment of an active telescope, from aberrations measured in its focal plane, is a tomographic issue. MMSE-based estimation is successfully used in optical tomography issues, like multiconjugate adaptive optics, where the problem is linear, and the phase perturbation spectrum rapidly decreasing. The implementation of MMSE...
Liu, Shuaiqiang Borovykh, Anastasia Grzelak, Lech A. Oosterlee, Cornelis W.
Published in
Journal of Mathematics in Industry
A data-driven approach called CaNN (Calibration Neural Network) is proposed to calibrate financial asset price models using an Artificial Neural Network (ANN). Determining optimal values of the model parameters is formulated as training hidden neurons within a machine learning framework, based on available financial option prices. The framework con...
Krapez, Jean-Claude
Analytical modeling of graded-property media is an active area of research as it allows to simulate their dynamic response better than numerical methods (no discretization bias and fast computation). A method as recently been described for the construction of solvable profiles with exceptional properties with respect to their flexibility. These pro...
Van Bockstal, Karel
Published in
Journal of Inverse and Ill-posed Problems
The theoretical and numerical determination of a space-dependent load distribution in a simply supported non-homogeneous Euler–Bernoulli beam and Kirchhoff–Love plate is investigated. The uniqueness of a solution to this inverse source problem is proved, whilst counterexamples are constructed to discuss the conditions under which uniqueness holds. ...
SAMAGASSI, Souleymane JACQUELIN, Eric KHAMLICHI, Abdellatif Sylla, Moussa