Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals.
'Selected Topics in Approximation and Computation' is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including sinc methods, elliptic function ...
The approximation of functions of several variables continues to be a difficult problem in scientific computing because many of the algorithms required for such problems have yet to be written.
This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation.
[ 3 ] M.A. Kowalski , K.A. Sikorski , F. Stenger , Selected Topics in Approximation and Computation , Oxford University Press , Oxford , 1995 . [ 4 ] J. Lund , Symmetrization of the Sinc - Galerkin method for boundary value problems ...
Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, ...
... where Qˆtra,N2 trapezoidal (f ) is the approximate value of integral of f, obtained using the cubature formula Qtraˆ2 (f ) ... S.S. Dragomir, C.E.M. Pearce, Selected Topics on Hermite–Hadamard Inequalities and Applications (Internet ...
ACM 5, 604 (1962) Kowalski, M., Sikorski, K., Stenger, F.: Selected Topics in Approximation and Computation. Oxford University Press, New York (1995) Lyness, J.N.: Notes on the adaptive Simpson quadrature routine. J. Assoc. Comput.
Methods designed by Sinc function have many applications in theory and application, from holomorphic functions theory to the ... Anselone, P.M.: Collectively Compact Operator Approximation Theory and Applications to Integral Equations.
2.7 Conclusion In this chapter, we introduced polynomial-like procedures for improving the approximation of a function using given ... Kowalski M, Sikorski K, Stenger F (1995) Selected topics of approximation and computation.
Stenger, F., Baumann, G., Koures, V.G.: Computational methods for chemistry and physics, and Schrödinger in 3+1. ... Kowalski, M.A., Sikorski, K.A., Stenger, F.: Selected Topics in Approximation and Computation. Oxford Univ.