Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...

SIAM Journal on Numerical Analysis, Vol. 53, No. 2 (2015), pp. 852-873 (22 pages) We consider reproducing kernels K : Ω × Ω → ℝ in multiscale series expansion form, i.e., kernels of the form ...

The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...

This is a preview. Log in through your library . Abstract Practical use of Bayesian methods usually involves obtaining certain characteristics of the posterior distribution of the parameter of ...

Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods, and ...

Clinical trials have traditionally followed a fixed design, in which patient allocation to treatments is fixed throughout the trial and specified in the protocol. The primary goal of this static ...

The number represented by pi (π) is used in calculations whenever something round (or nearly so) is involved, such as for circles, spheres, cylinders, cones and ellipses. Its value is necessary to ...

A critical issue in the credit risk industry is the accurate, efficient and robust pricing of collateralized debt obligations (CDOs) in a variety of mathematical models. These and many similar basket ...