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 ...

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 ...

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 ...

Abstract: A numerical algorithm is presented that simulates large deformations of heterogeneous, viscoelastic materials in two dimensions. The algorithm is based on a spectral/finite difference method ...

Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...

This repository contains a collection of Jupyter notebooks that cover key topics in numerical analysis. These resources include assignments, tasks, and projects, showcasing practical implementations ...