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 ...

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 ...

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 ...

The questions in this quiz are suitable for GCSE maths students studying approximation, rounding to decimal places, rounding to significant figures, truncation, estimating calculations, limits of ...

A miscible displacement of one incompressible fluid by another is modeled by a coupled system of partial differential equations. The approximation of this system using a Galerkin method that makes use ...

In this topic we will advance the fundamental mathematical understanding of artificial neural networks, e.g., through the design and rigorous analysis of stochastic gradient descent methods for their ...