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Provides an introduction to the mathematical and numerical aspects of discretization methods for solving initial value problems in ordinary differential equations. This work is useful for a graduate course in numerical analysis of ODEs. It contains homework exercises at the end …
Perturbations: Theory and Methods gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, whic…