Uncover the latest and most impactful research in Calculus of Variations and Optimization. Explore pioneering discoveries, insightful ideas and new methods from leading researchers in the field.
Purpose Road irregularities generate vibrations and noise in vehicles, which are major occupational factors affecting drivers'' comfort. While many studies propose new suspension systems and use numerical models to optimize stiffness and damping...
This paper develops a technique for an optimal portfolio allocation that explicitly accounts for different market phases. The basic idea is to distinguish market phases with respect to the dynamics of a sentiment index and to accordingly interpolate...
The relationship between smooth measures and positive continuous additive functionals is well known, and this correspondence is called the Revuz correspondence. We investigate the relationships between several types of convergence of smooth measures...
Safe autonomous obstacle avoidance is essential for unmanned aerial vehicles (UAVs) operating in cluttered environments because flight safety depends on the coordinated utilization of navigation information and environmental perception. This study...
This study investigates the optimal weighted reinsurance contract from the perspectives of reinsurance demand and supply within the framework of Stackelberg–Nash differential game. In this paper, both the insurer and reinsurer are allowed to...
In this paper, we first demonstrate that every non-negative square matrix A with the spectral radius \(r(A)<1\) r ( A ) < 1 has a matrix norm \(|||\cdot |||\) | | | · | | | which is subordinate to a given monotone norm with respect to the partial...
This work introduces a new cubic regularization method for solving nonconvex unconstrained multiobjective optimization problems. At each iteration of the method, a model associated with the cubic regularization of each component of the objective...
In this article, we propose a Quadratic Uniform L1 (QUL1) numerical scheme for approximating the Caputo fractional derivative of order \((0 < \alpha < 1)\) and for solving Caputo fractional differential equations. The proposed method modifies only...
In the development of topology optimization methods for Additive Manufacturing (AM), accounting for the AM process-induced anisotropy of fabricated materials and the large deformations of slender members constitutes two significant engineering...
Uncertainties and delays are inherent features of many natural phenomena, especially pharmacokinetics, since drug absorption and degradation may change from person to person and with time. These features naturally give rise to mathematical models...
Topology optimization has become a powerful tool for designing lightweight, high-performance structures, yet most existing approaches do not directly produce geometries suitable for manufacturing. Density- and level-set-based methods generally...
Free boundary problems govern phenomena whose spatial domain is unknown in advance and evolve in time, from solidification to tumour growth. Neural operators have recently been extended to this setting by transporting every evolving domain, through...
In recent years, metaheuristic optimization algorithms have emerged as effective tools for identifying optimal parameter values. This paper presents an effective parameter identification method based on a newly proposed optimizer, namely the...
Purpose Model-based structural damage identification strategies are inherently susceptible to modeling errors, particularly when complex viscoelastic dissipation mechanisms are simplified in inverse analysis. This study proposes a Bayesian damage...
This paper establishes the existence of infinitely many weak solutions for a class of fractional \(p(\cdot ,\cdot )\) p ( · , · ) -Laplacian problems by employing Ricceri’s variational principle. Notably, our main results require neither the...
This study introduces a hybrid \(q\) -calculus and artificial neural network framework for the Thomas–Fermi equation of free positive ions. Its contribution is a construction in which \(q\) -deformation combines the terminal derivative and...
In flight control theory, numerous studies have investigated the optimality of flight trajectories in a gravitational field under various control constraints. This paper considers two inertial objects operating under conflict conditions in a...
We investigate the shape sensitivity of functionals arising in inverse problems involving distributed optical fiber sensors for structural health monitoring and material parameter identification. These sensors are deployed along curves, leading to...
This work introduces an adaptive line-search-free multiobjective gradient (AMG) method for solving smooth multiobjective optimization problems. The proposed approach automatically adjusts stepsizes based on steepest descent directions, promoting...
Q-Rung Picture Fuzzy Numbers (q-RPFNs) have recently gained attention as a powerful framework for modelling uncertainty in complex decision-making environments. Unlike conventional fuzzy set theories q-RPFNs offer enhanced expressive capability by...
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