Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation
In this paper we study the symmetry of Runge-Kutta methods with higher derivatives. We find conditions which provide this property for the above numerical methods. We prove that the family of E-methods constructed earlier consists of symmetric methods only, which lead to the quadratic extrapolation technique in practice.
KeywordsAdjoint Method Symmetric Method Underlying Method Hermite Type Increment Function