9 citations · 26 across the 8 of their papers we have counts for
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Very-High-Precision Calculations in Physics
Amna Noreen
This is the introductory part of my Ph.D thesis, defended at the Faculty of Science and Technology, NTNU on December 10, 2012.
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…
Very-high-precision normalized eigenfunctions for a class of Schrödinger type equations
Amna Noreen, Kåre Olaussen
We demonstrate that it is possible to compute wave function normalization constants for a class of Schrödinger type equations by an algorithm which scales linearly (in the number o…