Numerical analysis differential equations

This book is divided into two parts. Part I, A Course in the Numerical Solution of Partial Differential Equations, is self-contained and is suitable for a one-term (40 to 45 one-hour lectures) introductory graduate course on the subject. This material treats stationary and evolutionary partial differential equations. Numerical algorithms for the evolution equations are based on finite difference approximations, whereas those for stationary equations are developed via the finite element method. In this way we cover the two most popular and successful methodologies in use today.
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