A nonlinear optimization approach to the construction of general linear methods of high order
The construction of diagonally implicit multistage integration methods of order and stage order \(p=q=7\) and \(p=q=8\) is presented. Both type 1 (explicit) and type 2 (implicit) methods are obtained. The construction is based on the variable-model trust-region least-squares algorithms.
diagonally implicit multistage integration methods
scientific article; zbMATH DE number 1043281
scientific article