This is the repository of course materials for the 18.335J/6.7310J course at MIT, taught by Dr. Shi Chen, in Spring 2025. Topics: Advanced introduction to numerical linear algebra and related ...

Algebraic multigrid (AMG) methods have emerged as a crucial tool for efficiently solving large, sparse linear systems, particularly those arising in complex scientific and engineering simulations.

Analysis and application of numerical methods for solving large systems of linear equations, which often represent the bottleneck when computing solutions to equations arising in fluid mechanics, ...

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...

Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit complex interactions between multiple domains—mechanical, electrical, ...

The Fisher–Kolmogorov–Petrovsky–Piskunov equation is a diffusive logistic model for the population density of an invasive species. This paper presents a one-level numerical simulation of the ...

Abstract: This article presents an advancement of the probabilistic control framework to enable formation control in multiagent systems featuring both linear and nonlinear dynamics. The approach ...