A Russian mathematician has developed a new method for analyzing a class of equations that underpin models in physics and economics and are considered "eternal" as they have challenged researchers for ...

AI agents can handle physics-based modeling complexity while engineers focus on design judgment and tradeoffs.

The Bjerksund-Stensland model is a key method for pricing American options. It helps investors determine optimal times for exercising options with dividends considered.

Dr. James McCaffrey presents a complete end-to-end demonstration of linear regression with pseudo-inverse training implemented using JavaScript. Compared to other training techniques, such as ...

When a space rock big enough to end civilization shows up on the radar, the margin for philosophical debate shrinks fast. In ...

Abstract: Most of the available analytical methods for the evaluation of the normalized radar cross section (NRCS) of randomly rough surfaces require the evaluation of the so-called Kirchhoff integral ...

Abstract: Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the ...

This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of ...

Department of Mathematics, University of Central Arkansas, Conway, USA. for. This quadrature rule uses 3N/4 function evaluations. This rule is fourth order accurate. These stencils can be generated ...

Dynamical low-rank approximation (DLRA) is an emerging tool for reducing computational costs and provide memory savings when solving high-dimensional problems. In this work, we propose and analyze a ...