Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

For decades, one of the biggest questions in cosmology has remained frustratingly out of reach: what, if anything, existed ...

Some of the hardest questions in cosmology begin where the usual math gives up. Push Einstein’s theory far enough back toward ...

Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

Abstract: Most existing temporal point process models are characterized by conditional intensity function. These models often require numerical approximation methods for likelihood evaluation, which ...

Analog-to-digital conversion methods abound, but we are going to take a look at a particular approach as shown in Figure 1. Figure 1 An analog-to-digital converter where an analog input signal is ...

The numerical integration of stiff equations is a challenging problem that needs to be approached by specialized numerical methods. Exponential integrators form a popular class of such methods since ...

In the fields of engineering and science, partial differential equations (PDEs) have extensive applications and significant potential for modeling natural and physical phenomena. These equations ...

In this study, a numerical approach was developed to approximate the solution of the Caputo-type fractional reaction–diffusion problem. In the proposed method, the Caputo fractional derivative and the ...

Abstract: Reinforcement Learning is a branch of machine learning to learn control strategies that achieve a given objective through trial-and-error in the environment ...

ABSTRACT: The behavior of beams with variable stiffness subjected to the action of variable loadings (impulse or harmonic) is analyzed in this paper using the successive approximation method. This ...

The area under a curve refers to the region enclosed between the curve and the horizontal axis of a graph. This area is found by integrating an equation across an interval. Understanding this concept ...