Parallel Spectral Numerical Methods

This book is intended for intermediate readers.

Table of Contents [edit \| edit source]
Chapter Contents [edit \| edit source] Acknowledgments Overview Finite Precision Arithmetic Separation of Variables Motivation for Numerical Methods Timestepping One-Dimensional Discrete Fourier Transforms Finding Derivatives using Fourier Spectral Methods Examples in Matlab and Python Nonlinear Ordinary Differential Equations and Iteration Fortran Programs and Getting Started on Windows Introduction to Parallel Programming The Cubic Nonlinear Schrodinger Equation The Two- and Three-Dimensional Navier-Stokes Equations The Klein-Gordon Equation Gray Scott Maxwell's Equations Incompressible Magnetohydrodynamics GPU programs for Fourier pseudospectral simulations of the Navier-Stokes, Cubic Nonlinear Schrodinger and sine Gordon equations Visualization with ParaView CoProcessing		Programming Languages [edit \| edit source] Matlab Python Fortran

Table of Contents