\subsecitem {0}{\pbf CPS615---Base Course}{1}
\subsecitem {0}{\pbf for the Simulation Track}{1}
\subsecitem {0}{\pbf of Computational Science}{1}
\subsecitem {0}{\pbf CPS615---Abstract}{2}
\subsecitem {0}{\pbf Integral Formulation of Finite Element Method}{3}
\subsecitem {0}{\pbf Variation in Integral}{4}
\subsecitem {0}{\pbf Equivalence of Integral and Differential Formulation of Laplace's Equation}{5}
\subsecitem {0}{\pbf Discretization of Integral}{6}
\subsecitem {0}{\pbf Triangular Elements in Two Dimensions}{7}
\subsecitem {0}{\pbf Example for Two-Dimensional Triangular Elements}{8}
\subsecitem {0}{\pbf Bilinear Form of Integral with Triangular Elements}{9}
\subsecitem {0}{\pbf Formula for Stiffness Matrix Element---I}{10}
\subsecitem {0}{\pbf Formula for Stiffness Matrix Element---II}{11}
\subsecitem {0}{\pbf Finite Element Equations}{12}
\subsecitem {0}{\pbf Structure of Stiffness Matrix and Its Assembly}{13}
\subsecitem {0}{\pbf Conditions on Triangulation}{14}
\subsecitem {0}{\pbf Introduction to Poor Person's Conjugate Gradient}{15}
\subsecitem {0}{\pbf Conjugate Gradient Iteration for Quadratic Form}{16}
\subsecitem {0}{\pbf Conjugate Gradient and Method of Steepest Descent}{17}
\subsecitem {0}{\pbf Conjugate Gradient for Finite Element Problems}{18}
\subsecitem {0}{\pbf Poor Person's Conjugate Gradient and Eigenvalues of Matrix}{19}
\subsecitem {0}{\pbf Diagonalization of Quadratic Form}{20}
\subsecitem {0}{\pbf Diagonalization of Conjugate Gradient Equations}{21}
\subsecitem {0}{\pbf Convergence of Conjugate Gradient in Diagonalized Form}{22}
\subsecitem {0}{\pbf Clarification of Eigenvalue Analysis for Conjugate Gradient and Jacobi Iteration}{23}
\subsecitem {0}{\pbf Intuitive Description of Poor Person's Conjugate Gradient Algorithm}{24}
\subsecitem {0}{\pbf Improvement of Poor Person's Conjugate Gradient with Orthonormal Iteration}{25}
\subsecitem {0}{\pbf Full Conjugate Gradient Algorithm}{26}
\subsecitem {0}{\pbf Overview of Parallelism in Conjugate Gradient}{27}
\subsecitem {0}{\pbf Parallel Issues in Calculation of Matrix Elements}{28}
\subsecitem {0}{\pbf Scalar Products in Parallel Conjugate Gradient}{29}
\subsecitem {0}{\pbf Preconditioning in Conjugate Gradient}{30}
\subsecitem {0}{\pbf Convergence of Conjugate Gradient}{31}
\subsecitem {0}{\pbf Mathematical and Pseudo Code Form of Gauss Seidel Iteration Method}{32}
\subsecitem {0}{\pbf Mathematical (Matrix) Form of Gauss Seidel}{33}
\subsecitem {0}{\pbf Parallelism in Gauss-Seidel Iteration}{34}
\subsecitem {0}{\pbf $6\times 6$ Matrix Example Stencil}{35}
\subsecitem {0}{\pbf $6\times 6$ Matrix---Wavefront Parallelism for Gauss Seidel}{36}
\subsecitem {0}{\pbf The Red-Black Two Phase Parallel Gauss Seidel Iteration}{37}
\subsecitem {0}{\pbf Analysis of Parallel Red Black Gauss Seidel}{38}
\subsecitem {0}{\pbf Eigenvalues of Gauss Seidel Iteration Matrix}{39}
\subsecitem {0}{\pbf Comparison of Convergence of Gauss-Seidel and Jacobi Iteration}{40}
\subsecitem {0}{\pbf Successive Overrelaxation Iteration Method (SOR)}{41}
\subsecitem {0}{\pbf Convergence of SOR Compared to Jacobi and Gauss Seidel}{42}
\subsecitem {0}{\pbf Estimate of Over Relaxation Parameter $\omega $}{43}
\subsecitem {0}{\pbf Pseudo Code for SOR---Successive Over Relaxation}{44}