High order operator-splitting method for the numerical time propagation of the full Boltzmann equation in the interaction picture

• Main Author: Zadzaan Bin Hassan
• Other Authors: Marco Battiato
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2023
• Subjects: Science::Mathematics::Applied mathematics::Numerical analysis; Science::Physics::Atomic physics::Statistical physics
• Online Access: https://hdl.handle.net/10356/166536
• Institution: Nanyang Technological University

This thesis focuses on finding a suitable high order splitting method for the numerical time propagation of the Boltzmann equation in the interaction method. Using Runge-Kutta family of numerical methods to create an adaptive step method in the interaction method to solve both collision and transpor...