Chapter 5 Numerical Differentiation and Integration

5-1 Numerical Differentiation

5-1 (Continue)

5-2 Numerical Integration by Trapezoidal &

Simpson’s Rules

5-2 (Continue)

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5-3 Romberg Integration and Gaussian Quad

rature method

5-3 (Continue)

5-3 (Continue)

5-4 Hwa’s Integral Method (華羅庚積分法 )

• For computing an n-dimensional multiple integral, it needs n nested loops for most methods. And then more CPU time consumes. But Hwa’s method needs only one loop.

5-4 (Continue)

5-4 (Continue)

5-4 (Continue)

5-4 (Continue)

5-4 (Continue)