SciMLBenchmarks.jl holds webpages, pdfs, and notebooks showing the benchmarks for the SciML Scientific Machine Learning Software ecosystem, including: Benchmarks of equation solver implementations ...

1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of Computer Science and Technology, ...

Learn how to classify PDEs,and apply and visualize characteristic and finite difference solution methods. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...

Abstract: This paper explores the reliability of the Chebyshev collocation Method (CCM) as a numerical approach used for solving a specific class of equations known as the second-order Fredholm ...

Computational fluid dynamics (or CFD) is a branch of fluid mechanics. Different types of numerical techniques and data structures used to examine various problems. Fluid flow (liquid or gas) can be ...

Abstract: This article describes a single-chip analog computer for solving 1-D wave equations. The chip uses switched-capacitor (SC)-based fully differential analog circuits to build a discrete-time ...

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...