Titlebook: Numerical Mathematics Singapore 1988; Proceedings of the I Ravi P. Agarwal,Y. M. Chow,S. J. Wilson Conference proceedings 1988 Springer Bas

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Solution of Ill-Posed Problems by Means of Truncated SVD,f a . is satisfied, then in . the truncation parameter can be chosen such that the TSVD solution is satisfactory. The appropriate truncation parameter, giving the optimal signal-to-noise ratio in the solution, is the minimizer of the generalized cross-validation function.

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Indefinite Integration of Function Involving Logarithmic Singularity by the Chebyshev Expansion,hin a finite range [a, b] for some smooth functions f(t), whose Chebyshev series expansions over [a, b] are of rapid convergence. The Fast Fourier Transform (FFT) and recurrence relations are made use of to compute the Chebyshev coefficients of f(t) and to expand the indefinite integral I(x, y, c) i

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Nonlinear Stability and Asymptotics of O.D.E. Solvers, properties of this approximation. It transpires that there exists a firm link between the . stability theory and maintainance of correct asymptotic behaviour by numerical methods for autonomous . systems. Moreover, if a multistep method produces a convergent solution sequence then it necessarily co

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W. Auzinger,H. J. Stetterochastics, numerics and derivative pricing will gain an immeBasic principles underlying the transactions of ?nancial markets are tied to probability and statistics. Accordingly it is natural that books devoted to mathematical ?nance are dominated by stochastic methods. Only in recent years, spurred

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I. Babu?kato mathematical ?nance are dominated by stochastic methods. Only in recent years, spurred by the enormous economical success of ?nancial derivatives, a need for sophisticated computational technology has developed. For - ample, to price an American put, quantitative analysts have asked for the numer

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