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20032026
most citedA Tutorial on the Design, Experimentation and Application of Metaheuristic Algorithms to Real-World Optimization Problems

407 citations

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21 papers · 1 filter

math.NA2025

The numerical solution of the Dirichlet generalized and classical harmonic problems for irregular n-sided pyramidal domains by the method of probabilistic solutions

M. Zakradze, Z. Tabagari, N. Koblishvili +4

This paper describes the application of the method of probabilistic solutions (MPS) to numerically solve the Dirichlet generalized and classical harmonic problems for irregular n s…

math-ph20251 cited

Dynamical boundary value problem for a viscoelastic half-space with cut

N. Shavlakadze, N. Odishelidze, B. Pachulia +1

The dynamical boundary value problem for viscoelastic half-space with cut in the form of a strip is considered. The problem is reduced to the singular integral equation of first ki…

cond-mat.stat-mech20251 cited

Quantifying time in Monte Carlo simulations: application to relaxation processes and AC susceptibilities of magnetic nanoparticles assemblies

A. Morjane, J. -G. Malherbe, J. -J. Alonso +2

The study of the response of magnetic nanoparticles (MNP) assemblies to an external alternating magnetic field is of great interest for applications such as hyperthermia. The key q…

quant-ph20251 cited

The Quantum Approximate Optimization Algorithm Can Require Exponential Time to Optimize Linear Functions

Francisco Chicano, Zakaria Abdelmoiz Dahi, Gabriel Luque

QAOA is a hybrid quantum-classical algorithm to solve optimization problems in gate-based quantum computers. It is based on a variational quantum circuit that can be interpreted as…

math.NA20252 cited

Well-balanced POD-based reduced-order models for finite volume approximation of hyperbolic balance laws

I. Gómez-Bueno, E. D. Fernández-Nieto, S. Rubino

This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Emp…

math.NA202536 cited

Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws

Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés +1

In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutio…