Parallel Spectral Numerical Methods

Table of Contents
Chapter Contents 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 Introduction to Parallel Programming The Cubic Nonlinear Schrodinger Equation The Two- and Three-Dimensional Navier-Stokes Equations The Klein-Gordon Equation Maxwell's Equations GPU programs for Fourier pseudospectral simulations of the Navier-Stokes, Cubic Nonlinear Schrodinger and sine Gordon equations Visualization with ParaView CoProcessing		Programming Languages Matlab Python Fortran Fortran 77 Tutorial

Style Guide and Contributors