Observations on nodal and loop analysis that can save a fair amount of scribbling of equations when using Kirchhoff's laws. In a previous Idea for Design, Anshi Chen outlined a method for analyzing ...

Asymptotic analysis provides a set of powerful techniques for approximating solutions to differential equations, particularly in cases where exact solutions are elusive. This approach is critical when ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

The technique of nodal analysis described in the preceding topic is completely general and can always be applied to any electrical network. This is not the only method for which a similar claim can be ...

Dynamic equations and time scale analysis offer a unifying framework for the study of systems evolving over time, whether in continuous, discrete, or hybrid settings. By integrating differential and ...

Over the past ten years, since 2013, Amazon.com, Inc. has generated better than $250 billion in cash from operations that it has reinvested into the business. As companies like Amazon grow and mature, ...

Ohm's law and Kirchhoff's voltage law (KVL) provide powerful tools for conventional circuit analysis (mesh analysis), but if time-varying magnetic fields Ken Yang, Senior Member of the Technical Staff ...

In this paper, some theoretical aspects will be addressed for the asymptotic preserving discontinuous Galerkin implicit-explicit (DG-IMEX) schemes recently proposed in [J. Jang, F. Li, J.-M. Qiu, and ...