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New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction

Rolf Mahnken

2022Computer Methods in Applied Mechanics and Engineering17 citationsDOI

Topics & Concepts

Runge–Kutta methodsReduction (mathematics)MathematicsEstimatorConvergence (economics)Midpoint methodApplied mathematicsOrder of accuracyMathematical optimizationAlgorithmComputer scienceNumerical analysisNumerical stabilityMathematical analysisEconomicsStatisticsGeometryEconomic growthNumerical methods for differential equationsAdvanced Numerical Methods in Computational MathematicsMatrix Theory and Algorithms
New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction | Litcius