Machine learning is revolutionizing fundamental science by tackling long-standing mathematical challenges. A key example is ...

These universal truths form the shared foundation upon which a great deal of rigorous and robust merit-based inquiry is ...

This repository contains a complete collection of implementations for various Numerical Methods used in computational mathematics. The project covers a wide range of topics including linear and ...

There are so many benefits to participating in research early in your academic career, whether your plan is going to graduate school or going into industry---or even if you don't have a plan at all ...

In this talk, Dr. John N. Shadid will present a scalable multiphysics block preconditioner for an implicit low Mach number compressible resistive magnetohydrodynamics (MHD) formulation based on a ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

This study presents an (ε, μ)−uniform numerical method for a two-parameter singularly perturbed time-delayed parabolic problems. The proposed approach is based on a fitted operator finite difference ...

A British multinational design and engineering company behind world-famous buildings such as the Sydney Opera House has confirmed that it was the target of a deepfake scam that led to one of its Hong ...

Abstract: A electromagnetic-circuital-thermal-mechanical mu- ltiphysics numerical method is proposed for the simulation of microwave circuits. The discontinuous Galerkin time-domain (DGTD) method is ...