An Introduction to Numerical Analysis

An Introduction to Numerical Analysis

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The authors believe that the application of numerical methods should be accompanied by insight. This means teaching a balance between implementing methods and analyzing whether the procedures are successful. The analysis of a method deals with the derivation and evaluation of the algorithm. Evaluation is concerned with the error in the final result and the complexity of the method. Three topics are covered: solving equations, integration and initial value problems for ordinary differential equations. The authors believe that developing and running computer programs is vital for gaining insight into numerical methods. The student has to develop the programs on her / his own and explain the method to the computer.

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