The integration of Operations Research (OR) and Wargaming into military decision-making and decision support systems has become increasingly critical in modern defense strategy and operations. Operations Research plays the synergistic role in enhancing strategic, operational, and tactical decisions. Operations Research provides quantitative analysis and optimization techniques to evaluate...
Abstract: Mathematical modelling of engineering and biological systems plays a vital role in fostering national development and driving technological innovation. By constructing precise computational representations of complex systems, researchers and engineers can predict behaviours, optimize processes, and develop cutting-edge solutions that stimulate economic progress and improve quality of...
Abstract:
Improving numerical methods used for pricing options in derivative markets becomes essential, especially where asset returns often exhibit characteristics (such as jumps, heavy tails, and asymmetry) that aren't well-suited to traditional Gaussian models. To account for these features, the research explores jump-diffusion processes governed by an integro-differential equation (IDE),...
Traditionally, parameters of dynamical systems are estimated by directly comparing model simulations to observed data utilizing a least squares approach. However, if the models are biased, this classical approach may not accurately estimate the true states. Here, a data-driven approach is proposed that enables the model to follow the trajectory of the data. More so, following this approach,...
By Curt. A. de Koning
University of Colorado at Boulder,
USA
