9 citations · 25 across the 5 of their papers we have counts for
5 papers
Python Classes for Numerical Solution of PDE's
Asif Mushtaq, Trond Kvamsdal, Kåre Olaussen
We announce some Python classes for numerical solution of partial differential equations, or boundary value problems of ordinary differential equations. These classes are built on…
Automatic code generator for higher order integrators
Asif Mushtaq, Kåre Olaussen
Some explicit algorithms for higher order symplectic integration of a large class of Hamilton's equations have recently been discussed by Mushtaq \emph{et. al}. Here we present a P…
Higher order splitting methods with modified integrators for a class of Hamiltonian systems
Asif Mushtaq, Anne Kværnø, Kåre Olaussen
We discuss systematic extensions of the standard (St{ö}rmer-Verlet) splitting method for differential equations of Hamiltonian mechanics, with relative accuracy of order for…
Systematic Improvement of Splitting Methods for the Hamilton Equations
Asif Mushtaq, Anne Kværnø, Kåre Olaussen
We show how the standard (St{ö}rmer-Verlet) splitting method for differential equations of Hamiltonian mechanics (with accuracy of order for a timestep of length ) can be…
Very-high-precision solutions of a class of Schr{ö}dinger equations
Asif Mushtaq, Amna Noreen, Kåre Olaussen +1
We investigate a method to solve a class of Schr{ö}dinger equation eigenvalue problems numerically to very high precision (from thousands to a million of decimals). The memory…