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 repository contains MATLAB code implementations for solving nonlinear equations and performing numerical integrations to model the dynamics of a body falling through a fluid. The project focuses ...

Numerical analysis is the branch of mathematics devoted to the study of algorithms for the approximate solution of problems that often have no closed‐form answer. At its core, numerical analysis seeks ...

Welcome to the repository for my coursework in the Numerical Methods and Optimization course. In this course, I explored various numerical methods for equation solving and optimization. I am pleased ...

Abstract: In the field of discharge research for electrical equipment, the microscopic mechanisms of streamer discharge are difficult to obtain through experiments. Numerical simulations, however, ...

This is a preview. Log in through your library . Abstract A combination of ideas in least-squares finite element methods with those of hybridized methods recently led to discontinuous Petrov–Galerkin ...

In this paper, we present new error bounds for the Lanczos method and the shift-and-invert Lanczos method for computing e -τA v for a large sparse symmetric positive ...

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

The numerical analysis group at UCL is a relatively recent addition. The main focus is on the design and implementation of efficient and accurate computational methods for the approximation of ...