# Two-step General Linear Methods for Retarded Functional Differential Equations

## TL;DR

This paper introduces a new class of two-step general linear methods specifically designed for efficiently solving retarded functional differential equations, including explicit methods up to fifth order, with considerations for stiff problems.

## Contribution

The paper develops a novel class of two-step general linear methods tailored for retarded functional differential equations, achieving high order and addressing stiffness issues.

## Key findings

- Explicit methods up to order five constructed
- Methods designed to prevent order reduction in mildly stiff problems
- Stage order close to uniform order for stability

## Abstract

This paper presents a class of Two-Step General Linear Methods for the numerical solution of Retarded Functional Differential Equations. Explicit methods up to order five are constructed. To avoid order reduction for mildly stiff problems the uniform stage order of the methods is chosen to be close to uniform order.