6 papers
LREI: A fast numerical solver for quantum Landau-Lifshitz equations
Davoud Mirzaei, Behnam Hashemi, Vahid Azimi-Mousolou
We develop LREI (Low-Rank Eigenmode Integration), a memory- and time-efficient scheme for solving quantum Landau-Lifshitz (q-LL) and quantum Landau-Lifshitz-Gilbert (q-LLG) equatio…
Numerical solution of quantum Landau-Lifshitz-Gilbert equation
Vahid Azimi-Mousolou, Davoud Mirzaei
The classical Landau-Lifshitz-Gilbert (LLG) equation has long served as a cornerstone for modeling magnetization dynamics in magnetic systems, yet its classical nature limits its a…
Stochastic Simulation and Monte Carlo Method
Davoud Mirzaei
These lecture notes are intended to cover some introductory topics in stochastic simulation for scientific computing courses offered by the IT department at Uppsala University, as…
Numerical Linear Algebra: Least Squares, QR and SVD
Davoud Mirzaei
These lecture notes focus on some numerical linear algebra algorithms in scientific computing. We assume that students are familiar with elementary linear algebra concepts such as…
Numerical Solution of Initial Value Problems
Davoud Mirzaei
Welcome to a beautiful subject in scientific computing: numerical solution of ordinary differential equations (ODEs) with initial conditions.
Fundamentals of Computing
Davoud Mirzaei
This lecture addresses some general ideas behind numerical computations ranging from representation of numbers in computers to stability and accuracy of standard algorithms for som…