This book draws together information previously available only in hard-to-find journals to introduce the most recent research in six key areas of numerical analysis: guaranteed error bounds for ordinary differential equations; computational methods for differential equations; numerical solution of differential-algebraic equations; boundary element methods; perturbation theory for infinite dimensional dynamical systems; and delay differential equations. Excellent up-to-date bibliographies are included, but the essential material is expertly presented to avoid lengthy searches. The research assumes a relatively low level of prerequisite knowledge, making it an important tool for graduate students and researchers in computational mathematics and in applications areas in physics and engineering.

George F. Corliss: Guaranteed Error Bounds for Ordinary Differential Equations;

Kenneth Eriksson, Don Estap, Peter Hansbo and Claes Johnson: Introduction to Computational Methods for Differential Equations;

Linda R. Petzold: Numerical Solution of Differential-Algebraic Equations;

Ian H. Sloan: Boundary Element Methods;

Andrew Stuart: Perturbation Theory for Infinite Dimensional Dynamical Systems;

M. Zennaro: Delay Differential Equations: Theory and Numerics.

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