We introduce a simple numerical algorithm to study banking systems subject to credit risk. The algorithm is based on a model that is completely defined by only two parameters. We start with a ...

Abstract: In this paper, a new evolutionary algorithm referred to as importance search algorithm (ISA) is designed to solve global numerical optimization problems with continuous variables. The ...

SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods including their convergence, stability, and error ...

Implementation of the algorithm proposed in the paper Multi-Objective Assortment Optimization: Profit, Risk, Customer Utility, and Beyond, and related numerical experiments. All algorithms in this ...

In this paper we develop a discretized version of the dynamic programming algorithm and study its convergence and stability properties. We show that the computed value function converges quadratically ...

Abstract: A new algorithm for finding numerical solutions of optimal feedback control based on dynamic programming is developed. The algorithm is based on two observations: (1) the value function of ...

Example of an interval cancer retrospectively detected by the artificial intelligence (AI) algorithm. A 48-year-old woman presented for a screening digital breast tomosynthesis examination; its ...