AIMS lecture notes on numerical analysis

aims......Page 1
Computer Arithmetic......Page 2
Numerical Solution of Scalar Equations......Page 8
Review of Matrix Algebra......Page 36
Gaussian Elimination......Page 46
Inner Products and Norms......Page 78
Eigenvalues and Singular Values......Page 87
Iterative Methods for Linear Systems......Page 104
Numerical Computation of Eigenvalues......Page 132
Numerical Solution of Algebraic Systems......Page 142
Numerical Solution of Ordinary Differential Equations......Page 153
Numerical Solution of the Heat and Wave Equations......Page 187
Minimization......Page 204
Approximation and Interpolation......Page 213
The Finite Element Method......Page 234
References......Page 259
Exercise set #1......Page 262
Exercise set #2......Page 264
Exercise set #3......Page 265
Exercise set #4......Page 266
Exercise set #5......Page 268
Exercise set #6......Page 269
Exercise set #7......Page 271