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Extensions of the Predictor-corrector Method for the Solution of Systems of ordinary Differential Equations
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1961
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Numerical AnalysisNonlinear System IdentificationPredictor-corrector MethodEngineeringNumerical ComputationSingularly Perturbed ProblemAerospace EngineeringEngineering MathematicsSystems EngineeringLinear SystemNumerical TreatmentApproximation TheoryDerivative EvaluationsOrdinary Differential EquationsNumerical Method For Partial Differential Equation
Two extensions of the predictor-corrector method for the solution of systems of ordinary differential equations are described. Both are aimed at reducing the number of derivative evaluations required to integrate over a given range. The combination of the two extensions to give an efficient general method is discussed.