This chapter provides a review of the basic ideas at the core of the Computational Singular
Perturbation (CSP) method and the Tangential Stretching Rate (TSR) analysis. It includes a
coherent summary of the theoretical foundations of these two methodologies while
emphasizing their mutual interconnections. The main theoretical findings are presented in a
systematic fashion. Their virtues and limitations will be discussed with reference to auto-
ignition systems, laminar and turbulent premixed flames, and non-premixed jet flames. The …

Chapter 1 summarized the highlights of the concepts behind the CSP method and the TSR
analysis. In this chapter, we will discuss a few applications of these techniques. It must be
noted that the CSP method provided the theoretical framework for designing solvers for
deterministic stiff problems (the CSP solver [48] and the G-Scheme solver [31, 32]), for stiff
uncertain problems [49], for stiff stochastic problems [50, 51].