Abstract: In this letter, to improve the calculation efficiency, a novel full-wave hybrid numerical method based on the finite-difference frequency domain method (FDFD) and the surface integral ...

Abstract: The paper outlines the historical evolution of numerical analysis, a field concerned with obtaining numerical approximated solutions of mathematical problems. It begins with ancient ...

Can you chip in? As an independent nonprofit, the Internet Archive is fighting for universal access to quality information. We build and maintain all our own systems, but we don’t charge for access, ...

Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...

ABSTRACT: We make more specific initial contributions of prior work w.r.t. Tokamaks, relic black holes, and a relationship between a massive graviton particle count and quantum number n, and also add ...

Researchers developed a faster, more stable way to simulate the swirling electric fields inside industrial plasmas -- the kind used to make microchips and coat materials. The improved method could ...

How do you prove something is true? For mathematicians, the answer is simple: Start with some basic assumptions and proceed, step by step, to the conclusion. QED, proof complete. If there’s a mistake ...

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 ...

Forbes contributors publish independent expert analyses and insights. Rachel Wells is a writer who covers leadership, AI, and upskilling. Regardless of your career choice, you will always need a ...

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 ...

Liz Simmons is an education staff writer at Forbes Advisor. She has written about higher education and career development for various online publications since 2016. She earned a master’s degree in ...