CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS

【摘要】 This article deals with a class of numerical methods for retarded diffierential algebraic systems with time-variable delay.The methods can be viewed as a combination of Runge-Kutta methods and Lagrange interpolation.A new convergence concept,called DA-convergence,is introduced.The DA-convergence result for the methods is derived.At the end,a numerical example is given to verify the computational effiectiveness and the theoretical result.更多还原

【Abstract】 This article deals with a class of numerical methods for retarded diffierential algebraic systems with time-variable delay.The methods can be viewed as a combination of Runge-Kutta methods and Lagrange interpolation.A new convergence concept,called DA-convergence,is introduced.The DA-convergence result for the methods is derived.At the end,a numerical example is given to verify the computational effiectiveness and the theoretical result.更多还原