International Journal of Chemical Kinetics · 1978 · 87 citations · 10 references
Natural SciencesChemical EngineeringChemistryChemical KineticsProcess Systems EngineeringReaction EngineeringChemical Kinetics ModelingChemical Reaction KineticsKinetic ModelingReaction Mechanism AnalysisReaction Mechanism ModelingSteady-state ApproximationCore StorageProgram EfficiencyReaction Kinetics ModelingReaction Rate CalculationsReaction Rate EquationsReaction Rate ModelingStiffnessStorage
Abstract A program system is described for the integration of the rate equations resulting from large systems of elementary reactions. The Gear integration method is used for this problem, which frequently may exhibit stiffness instability when other integration methds are employed. No usage of the quasi‐steady‐state approximation is necessary. Ease in varying the reaction mechanism and simplicity of input structure are coupled with efficient execution and minimal demands for program storage as key features. The input–output structure, method of operation, and implementation are summarized, along with core storage requirements and execution times for trials using an IBM 360/44 computer.
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Numerical Initial Value Problems in Ordinary Differential Equations
James Watt · The Computer Journal · 1972 · 3.6K citations
The automatic integration of ordinary differential equations
C. W. Gear · Communications of the ACM · 1971 · 645 citations · Full text