Foundation of Scientific Computing

Overview

Basic computing - discretization numerical errors - coputations of ODE - solving stiff equation through orthoganization - relationship between computing and science - milestones in electric era - super computer - hardware issues - fortran language - somerfield equation - compound matrix method - dynamic waves and it;s propagation - dispersion and ray paths - velocity - surface gateway - domain analysis - optimization - wave solution of heat equation - heat equation and waves

periodic tridiagonal system - energy spectrum - adi method - self adjoint form for laplacian operator - dignol dominance - error propagation equation -gerschgion theorems - high performace computing - hermitian and implict methods - global analsys - philips noodling and filltering - analasys of filters - NCCD - energy conversion and DRP of galerkin FEM