Transcription of Chapter 6 Quadrature - MathWorks
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Chapter 6 Quadrature - MathWorks
Chapter 6 QuadratureThe termnumerical integrationcovers several different tasks, including numericalevaluation of integrals and numerical solution of ordinary differential equations. Sowe use the somewhat old-fashioned termquadraturefor the simplest of these, thenumerical evaluation of a definite integral. Modern Quadrature algorithms auto-matically vary an adaptive step Adaptive QuadratureLetf(x) be a real-valued function of a real variable, defined on a finite intervala x b. We seek to compute the value of the integral, baf(x)dx:The word Quadrature reminds us of an elementary technique for finding thisarea plot the function on graph paper and count the number of little squares thatlie underneath the Figure , there are 148 little squares underneath the curve.
Chapter 6 Quadrature The term numerical integration covers several different tasks, including numerical evaluation of integrals and numerical solution of ordinary differential equations. So we use the somewhat old-fashioned term quadrature for the simplest of these, the numerical evaluation of a definite integral.
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