Tendler-like Formulas for Stiff ODEs

Abstract. This paper proves a convergence result for a general class of methods for the solution of ordinary differential equations (initial value problems). The proof uses standard results from the theory of matrix polynomials. We present new cyclic linear multistep formulas of orders 3 to 9 for stiff equations, which, order by order, outperform the cyclic composite multistep methods of Tendler…