This method introduces conformal transformations in the approximation problems, in order to help extract the values of a given analytic function from its Taylor expansion around a point.

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

APPM 5480 Methods of Applied Mathematics: Approximation Methods Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, ...

The object of this paper is a theoretical study of the convergence of approximation methods (Galerkin and finite difference methods) to compute eigenelements of a closed linear operator T in a Banach ...

This course teaches commonly used approximation methods in quantum mechanics. They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational ...

Use Newton's method to find the second approximation x2 x 2 of 5√31 31 5 starting with the initial approximation x0 = 2. x 0 = 2 Suppose x0 x 0 is an initial estimate in Newton's method applied to the ...

This paper develops a new scheme for improving an approximation method of a probability density function, which is inspired by the idea in the Hilbert space projection theorem. Moreover, we apply ...

Dynamical low-rank approximation (DLRA) methods have emerged as a powerful numerical framework for addressing the challenges posed by high-dimensional problems. By restricting the evolution of a ...

Value function approximation or stopping time approximation: a comparison of two recent numerical methods for American option pricing using simulation and regression Lars Stentoft ...

Paper Approximation Methods for Determining Optimal Allocations in Response Adaptive Clinical Trials Clinical trials have traditionally followed a fixed design, in which patient allocation to ...