Abstract
In this contribution we survey recent research at CWI on step-by-step methods for solving initial value problems (IVPs) on parallel computers. More general surveys of parallel IVP solvers are given in [5,17,18]. The present paper is organized according to the following sections and subsections: 1. nonstiff problems, 1.1. explicit block methods, 1.2. predictor-corrector iteration, 1.2.1. Runge–Kutta correctors, 1.3. Richardson extrapolation; 2. stiff problems, 2.1. diagonally implicit block methods, 2.2. diagonally implicit iteration, 2.2.1. Runge–Kutta correctors, 2.3. Richardson extrapolation.
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