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Applied Numerical Methods with MATLAB for Engineers and Scientists, 2/e
Steven C. Chapra, Tufts University

Numerical Differentiation

Chapter Objectives

The primary objective of this chapter is to introduce you to numerical differentiation. Specific objectives and topics covered are

1. Understanding the application of high-accuracy numerical differentiation formulas for equispaced data.

2. Knowing how to evaluate derivatives for unequally spaced data.

3. Understanding how Richardson extrapolation is applied for numerical differentiation.

4. Recognizing the sensitivity of numerical differentiation to data error.

5. Knowing how to evaluate derivatives in MATLAB with the diff and gradient functions.

6. Knowing how to generate contour plots and vector fields with MATLAB.