Maximal order of accuracy of (m, 1)-methods for solving stiff problems

Abstract

We investigate (m, 1)-methods for solving stiff problems in which the right part of system of the diааerential equations is calculated one times on each step. It is shown that the maximal order of accuracy of the L-stability (m, 1)-method is equal to two, and the method of the maximal order is constructed

Keywords

• stiff problems
• rosenbrock schemes
• (m,k)-methods
• a-stability
• l-stability