9 citations · 26 across the 8 of their papers we have counts for
4 papers · 1 filter
Quantum loop expansion to high orders, extended Borel summation, and comparison with exact results
Amna Noreen, Kåre Olaussen
We compare predictions of the quantum loop expansion to (essentially) infinite orders with (essentially) exact results in a simple quantum mechanical model.We find that there are e…
Generating Very-High-Precision Frobenius Series with Apriori Estimates of Coefficients
Amna Noreen, Kåre Olaussen
The Frobenius method can be used to compute solutions of ordinary linear differential equations by generalized power series. Each series converges in a circle which at least extend…
High precision series solution of differential equations: Ordinary and regular singular point of second order ODEs
Amna Noreen, Kåre Olaussen
A subroutine for very-high-precision numerical solution of a class of ordinary differential equations is provided. For given evaluation point and equation parameters the memory req…
Estimating Coefficients of Frobenius Series by Legendre Transform and WKB Approximation
Amna Noreen, Kåre Olaussen
The Frobenius method can be used to represent solutions of ordinary differential equations by (generalized) power series. It is useful to have prior knowledge of the coefficients o…