Computational Science and Engineering

1. Applied Linear Algebra: 1. 1 Four special matrices, 1. 2 Differences, derivatives, and boundary conditions, 1. 3 Elimination leads to K = LDL^T, 1. 4 Inverses and delta functions, 1. 5 Eigenvalues and eigenvectors, 1. 6 Positive definite matrices, 1. 7 Numerical linear algebra: LU, QR, SVD, 1. 8 Best basis from the SVD, 2. . . .