Stability concepts and their applications

Stability concepts and their applications

The stability is one of the most basic requirement for the numerical model, which is mostly elaborated for the linear problems. In this paper we analyze the stability notions for the nonlinear problems. We show that, in case of consistency, both the N-stability and Kstability notions guarantee the convergence. Moreover, by using the Nstability we prove the convergence of the centralized Crank--...

Some Stability Concepts and Their Applications in Optimal Control Problems

In this work we are concerned with state-constrained optimal control problems. Our aim is to derive the optimality conditions and to prove the convergence of the numerical approximations. To deal with these questions, whose di culty is motivated by the presence of the state constraints, we consider some concepts of stability of the optimal cost functional with respect to small perturbations of ...

Medical Informatics: Concepts and Applications

Medical Informatics is a developing body of knowledge concerned with the use of information and communication technology in support of medical research, education and also for promoting health care delivery. The field focuses on the biomedical information, patient data, and also acquisition, storage, retrieval and optimal use of information for problem solving and decision making. The goal of m...

Concepts of Entropy and Their Applications

Osmolyte-Induced Folding and Stability of Proteins: Concepts and Characterization

It is well-known that the typical protein’s three-dimensional structure is relatively unstable in harsh conditions. A practical approach to maintain the folded state and thus improve the stability and activity of proteins in unusual circumstances is to directly apply stabilizing substances such as osmolytes to the protein-containing solutions. Osmolytes as natural occurring organic molecules ty...