Adaptive finite element methods (AFEM) represent a pivotal advancement in numerical analysis by dynamically refining computational meshes to achieve greater solution accuracy. These methods are ...

This paper is devoted to the proof of the convergence properties of a class of finite difference schemes applied to nonlinear complex reaction-diffusion equations. We investigate the accuracy of the ...

We consider the application of finite-difference methods to the numerical solution of boundary-value problems. In particular we are concerned to study the feasibility and convergence of the difference ...

ZTEM (Z-Axis Tipper Electromagnetic System) is a frequency-domain airborne electromagnetic exploration method that utilizes natural field sources. This method is highly efficient and capable of ...

Abstract: Rapid assessments of undrained shear strength of marine sediments are often of great interest in various branches of offshore civil and petroleum engineering, as well as the navy. Dynamic ...

Abstract: In this paper, aiming at discretizing continuous-time systems, a new formula of the improved finite difference, Zhang finite difference (ZFD), termed 4-instant g-square finite difference of ...

Since its first introduction in 1966, the Finite Difference Time Domain (FDTD) method has been widely used as a tool for solving complex electromagnetic problems. For FDTD, Maxwell’s equations are ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...