Stability Region of Trapezoidal Rule for Dynamic Software Dependability Assessment Model for Open-Source Cloud Computing

This paper presents a simple way to find influential papers to research the future development on the topic stability region of trapezoidal rule for dynamic software dependability assessment model of open-source cloud computing using citation network analysis. Using co-citation network analysis, influential papers are also identified for three subdomains of applications; finding influential papers will save the time of active researchers and will avoid repetition of research works. Also, the stability region of a trapezoidal rule on applying to a dynamic software dependability assessment model is obtained and noticed that there is a gap in the neighborhood of (2, 0). So the trapezoidal rule is not A-stable. To design a trapezoidal rule, a new approach is suggested. The influential papers direct, to get higher-order methods, not only the order of convergence but also one must improve the stability region of the numerical solution of the numerical method. Experimental results are provided to show the applicability and performance of citation network analysis and trapezoidal rule.