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A fast and robust Jacobian-free time-integration method - calledMinimum-error Adaptation of a Chemical-Kinetic ODE Solver (MACKS) - for solvingstiff ODEs pertaining to chemical-kinetics is proposed herein. The MACKSformulation is based on optimization of the one-parameter family of integrationformulae coupled with a dual time-stepping method to facilitate errorminimization. The proposed method demonstrates higher accuracy compared to themethod - Extended Robustness-enhanced numerical algorithm (ERENA) - previouslyproposed by the authors. Additionally, when this method is employed inhomogeneous-ignition simulations, it facilitates realization of fasterperformance compared to the Variable-coefficient ODE solver (VODE).

Optimization of One-parameter Family of Integration Formulae for Solving Stiff Chemical-kinetic ODEs