valid globally in time, beyond the formation of caustics and capturing the viscosity solution; valid for both digital and analog frameworks; able to efficiently extracting some physical quantities of ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

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 ...

This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...

John C. Urschel is an assistant professor in the MIT Math Department and a Junior Fellow at the Harvard Society of Fellows. He previously played for the Baltimore Ravens. This interview has been ...

ABSTRACT: This paper deals with linear programming techniques and their application in optimizing lecture rooms in an institution. This linear programming formulated based on the available secondary ...

Operations research is an interdisciplinary field that develops and applies quantitative methods to support decision making in complex systems. It draws on mathematical modelling, statistics, ...

Global optimization of nonlinear mixed-integer programming (MINLP) addresses decision problems in which some variables are constrained to take integer values, while the objective function or ...

Abstract: In this work, we extend the simplex algorithm of linear programming for finding a local minimum of a concave quadratic function subject to box constraints. In order to test the performance ...

NVIDIA's cuOpt leverages GPU technology to drastically accelerate linear programming, achieving performance up to 5,000 times faster than traditional CPU-based solutions. The landscape of linear ...