Stability Analysis of Modified Multilag Methods for Volterra Integral Equations

Stability analysis of modified multilag methods for Volterraintegral equations of the second and first kind is presented,based respectively on the test equations This analysis reinforces the opinion that modified multilagmethods are advantageous over quadrature methods for Volterraequations. They allow us to combine the good stability propertiesof backward differentiation formulae and the efficiency of Adams-Moultonformulae for ordinary differential equations.