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Titlebook: Introduction to Numerical Computation in Pascal; P. M. Dew,K. R. James Book 1983 Springer Science+Business Media New York 1983 Mathematica

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Numerical Integration: Adaptive Methodso specify the problem (the integrand, the limits of integration and the error tolerance). Given this information, the routine should compute the integral to a specified accuracy, determining the stepsize and other parameters automatically, or warn the user if the accuracy cannot be achieved. Routines of this type are called ..
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Principles of Mathematical SoftwareWe now consider the general principles we should bear in mind when developing mathematical software, with particular reference to the structure and design of the math liblibrary.
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Systems of Linear EquationsOne of the commonest problems of numerical computation is to solve a .. The coefficients aij for 1≤ . ≤ . and the right hand sides bi for 1≤ . ≤ . are given; the problem is to find numerical values for the unknowns x1,,xn which satisfy the n equations.
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978-1-4757-3942-8Springer Science+Business Media New York 1983
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