Scientific computing increasingly requires both accurate simulations of physical systems as well as optimizing them over many parameters for tasks such as inverse ...
We instill within our students a deep appreciation of the beauty and usefulness of mathematics and statistics by revealing their myriad contributions to our understanding of the natural and ...
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 ...
Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...
Abstract: In this article, we establish that stabilization of a class of linear, hyperbolic partial differential equations (PDEs) with a large (nevertheless finite) number of components, can be ...
Abstract: This article considers the adaptive stability control of a class of $2\times 2$ linear hyperbolic PDE systems. The PDE model is subject to constant but in-domain and boundary unknown ...
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Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...
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