Type - Insensitive ODE Codes Based on Implicit A ( a ) - Stable Formulas

Abstract

Previous work on A -stable formulas is extended to A (a (-stable formulas, which are far more important in practice. Some important improvements in technique based on another interation method and an idea of Enright for the efficient handling of Jacobians are proposed. Implementation details and numerical examples are provided for a research-grade code. 

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