Numerical differentiation and integration

Ian Jacques and Colin Judd
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Ian Jacques: Coventry Lanchester Polytechnic, Department of Mathematics
Colin Judd: Coventry Lanchester Polytechnic, Department of Mathematics

Chapter 6 in Numerical Analysis, 1987, pp 190-232 from Springer

Abstract: Abstract In this chapter we consider numerical methods for differentiation and integration. Both of these problems may be approached in the same way. A function f, known either explicitly or as a set of data points, is replaced by a simpler function. A polynomial p is the obvious choice of approximating function, since the operations of differentiation and integration are then easily performed.

Keywords: Truncation Error; Trapezium Rule; Quadrature Rule; Gaussian Quadrature; Numerical Differentiation (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-94-009-3157-2_6

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