This paper studies the second kind linear Volterra integral equations (IEs) with a
discontinuous kernel obtained from the load leveling and energy system problems. For …

Complex multi-dimensional integrals are widely used in various engineering problems. This
paper proposes a novel numerical integration method based on stochastic configuration …

In order to promote the practical application of the Rogowski coil-based electronic
transformers, it is of great necessity to handle the issues associated with the measurement …

With the development of the similarity calculation method, the orbital motion of space vehicle
can be translated into a sequence of waypoints that reflect position and velocity on the …

Floating-point arithmetic precision is limited in length the IEEE single (respectively double)
precision format is 32-bit (respectively 64-bit) long. Extended precision formats can be up to …

The aim of this paper is to estimate the value of a fuzzy integral and to find the optimal step
size and nodes via the stochastic arithmetic. For this purpose, the fuzzy Romberg integration …

In this study we consider linear and nonlinear Volterra integral equations (VIEs) of the
second kind with discontinuous kernel. A novel iterative method using floating point …

Purpose This paper aims to develop a novel method and apply it to solve multiple definite
integrals. The proposed method is constructed based on multiple sets of correlation extreme …

With the aid of a complete set of two scalar potential functions, the transient responses of an
isotropic thermoelastic half‐space subjected to time dependent tractions and heat flux …

Discrete Stochastic Arithmetic (DSA) estimates round-off error propagation in a program. It is
based on a synchronous execution of several instances of the program to control using a …