Specialized Runge-Kutta methods for index 2 differential-algebraic equations

Abstract

We consider the numerical solution of systems of semi-explicit index 2 differential-algebraic equations (DAEs) by methods based on RungeKutta (RK) coefficients. For nonstiffly accurate RK coefficients, such as Gauss and Radau IA coefficients, the standard application of implicit RK methods is generally not superconvergent. To reestablish superconvergence… (More)
DOI: 10.1090/S0025-5718-05-01809-0

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