A Numerical Integration Method Based on Fireworks Algorithm

Fuzzy Fireworks Algorithm Based on a Sparks Dispersion Measure

The main goal of this paper is to improve the performance of the Fireworks Algorithm (FWA). To improve the performance of the FWA we propose three modifications: the first modification is to change the stopping criteria, this is to say, previously, the number of function evaluations was utilized as a stopping criteria, and we decided to change this to specify a particular number of iterations; ...

Opposition-Based Adaptive Fireworks Algorithm

A fireworks algorithm (FWA) is a recent swarm intelligence algorithm that is inspired by observing fireworks explosions. An adaptive fireworks algorithm (AFWA) proposes additional adaptive amplitudes to improve the performance of the enhanced fireworks algorithm (EFWA). The purpose of this paper is to add opposition-based learning (OBL) to AFWA with the goal of further boosting performance and ...

A Numerical Integration Method by Using Generalized Series of Functions

Numerical Integration Method Based on Particle Swarm Optimization

In this paper, a novel numerical double integration method based on Particle Swarm Optimization (PSO) was presented. PSO is a technique based on the cooperation between particles. The exchange of information between these particles allows to resolve difficult problems. This approach is carefully handled and tested with an illustrated example.

Monte Carlo Method for Numerical Integration Based on Sobol's Sequences

An efficient Monte Carlo method for multidimensional integration is proposed and studied. The method is based on Sobol’s sequences. Each random point in s-dimensional domain of integration is generated in the following way. A Sobol’s vector of dimension s (ΛΠτ point) is considered as a centrum of a sphere with a radius ρ. Then a random point uniformly distributed on the sphere is taken and a ra...