3 papers
math.NA2026
A Generalized FC-Gram Approximation Framework with Analysis and Applications
Prakash Nainwal, Akash Anand
The FC-Gram algorithm constructs high-order trigonometric approximations of nonperiodic functions by periodically extending them to a larger interval, with the quality of the blend…
math.NA2024
A modified FC-Gram approximation algorithm with provable error bounds
Akash Anand, Prakash Nainwal
The FC-Gram trigonometric polynomial approximation of a non-periodic function that interpolates the function on equispaced grids was introduced in 2010 by Bruno and Lyon [J. Comput…
math.NA2024
Computation of highly oscillatory integrals using a Fourier extension approximation
Akash Anand, Damini Dhiman
The numerical evaluation of integrals of the form \begin{align*} \int_a^b f(x) e^{ikg(x)}\,dx \end{align*} is an important problem in scientific computing with significant applicat…