A Class of Linearly Implicit Numerical Methods for Solving Stiff Ordinary Differential Equations

摘要

We introduce ABC-schemes, a new class of linearly implicit one-step methods for numerical integration of stiffordinary differential equation systems. Formulas of ABC-schemes invoke the Jacobian of differential system similary tothe methods of Rosenbrock type, but unlike the latter they include also the square of the Jacobian matrix.