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Abstract: Numerical integration, or time domain simulation, is an important tool to study dynamical systems. Many dynamical systems are stiff, for instance, electric power systems consist of a variety ...

The present article discusses the relation between boundary conditions and the Sommerfeld radiation condition underlying the dynamics of unbounded domains. It is shown that the classical Dirichlet, ...

The elemental imaging of laser ablation inductively coupled plasma mass spectrometry (LA-ICP-MS) provides spatial information on elements and therefore can further investigate the growth or evolution ...

Exospheres, the tenuous gas environments surrounding planets, planetary satellites, and cometary comae, play a significant role in mediating the interactions of these astronomical bodies with their ...

This project implements numerical solutions to the one-dimensional (1D) heat equation using both explicit and implicit models. The objective is to compare the performance of four different numerical ...

This repository contains information and code to reproduce the results presented in the article Using a recent characterization of energy-preserving B-series, we derive the explicit conditions on the ...

ABSTRACT: An Alternating Group Explicit (AGE) iterative method with intrinsic parallelism is constructed based on an implicit scheme for the Regularized Long-Wave (RLW) equation. The method can be ...