Essays about: "Pseudo-spectral methods"

Found 3 essays containing the words Pseudo-spectral methods.

  1. 1. Convection in a spherical shell under rapid rotation: numerical simulations

    University essay from KTH/Teknisk mekanik

    Author : Camille Rambert; [2022]
    Keywords : convection; rapid rotation; spectral methods; spherical geometry;

    Abstract : A numerical method for solving the buoyancy-driven magneto-convection equations in a rapidly rotating spherical shell is presented. The method is implemented through a FORTRAN 90 program, based on a FORTRAN 66 code written by Hollerbach [International Journal for Numerical Methods in Fluids, 32 (2000)] and partially translated in FORTRAN 90 by Riquier. READ MORE

  3. 2. Extended analysis of a pseudo-spectral approach to the vortex patch problem

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Mattias Bertolino; [2018]
    Keywords : α-patches problem; discontinuous vorticity equations; 2D Euler equations; Surface Quasi-Geostrophic equations; self-similar solutions; Pseudo-spectral methods; Nonequispaced fast fourier transform.;

    Abstract : A prestudy indicated superior accuracy and convergence properties of apseudo-spectral method compared to a spline-based method implemented byCòrdoba et al. in 2005 when solving the α-patches problem. READ MORE

  4. 3. Numerical approaches to solving the time-dependent Schrödinger equation with different potentials

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Lina Viklund; Louise Augustsson; Jonas Melander; [2016]
    Keywords : ;

    Abstract : This project is an immersive study in numerical methods, focusing on quantum molecular dynamics and methods for solving the time-dependent Schrödinger equation. First the Schrödinger equation was solved with finite differences and a basic propagator in time, and it was then concluded that this method is far too slow and compuationally heavy for its use to be justified for this type of problem. READ MORE