In this paper, we study a posteriori error estimates for one-dimensional and two-dimensional
linear parabolic equations. The backward Euler method and the Crank–Nicolson method for …

In this paper we study the a posteriori error estimates of numerical methods for parabolic
partial integro-differential equations (PIDEs) which describe jump-diffusion option pricing …

High-resolution numerical simulation of explosion problems is of significant theoretical value
owing to the numerous potential applications in both national defense and civilian projects …

This paper presents a finite-volume scheme with locally refined grids for solving the heat
conduction equation. Based on the semi-structured grids, multiple adjacent cells can be …

An efficient, accurate and reliable numerical solver is essential for solving complex
mathematical models and obtaining their computational approximations. The solver …

Determination of the maximum temperature and its location is the matter of the greatest
importance in many technological and scientific engineering applications. In terms of …

In the numerical simulation of the electromagnetic field, the FDTD (Finite-Difference Time-
Domain) approach is one of the effective numerical algorithms for the airborne transient …