In this follow-up to Afternotes on Numerical Analysis (SIAM, 1996) the author continues to bring the immediacy of the classroom to the printed page. Like the original undergraduate volume, Afternotes Goes to Graduate School is the result of the author writing down his notes immediately after giving each lecture; in this case the afternotes are the result of a follow-up graduate course taught by Professor Stewart at the University of Maryland. The algorithms presented in this volume require deeper mathematical understanding than those in the undergraduate book, and their implementations are not trivial. Stewart uses a fresh presentation that is clear and intuitive as he covers topics such as discrete and continuous approximation, linear and quadratic splines, eigensystems, and Krylov sequence methods. He concludes with two lectures on classical iterative methods and nonlinear equations.
Author(s): G. W. Stewart
Edition: SIAM
Publisher: Society for Industrial Mathematics
Year: 1987
Language: English
Pages: 258
AFTERNOTES goes to GRADUATE SCHOOL Lectures on Advanced Numerical Analysis......Page 1
Contents......Page 6
Preface......Page 12
Approximation......Page 14
Lecture 1......Page 16
Lecture 2......Page 24
Lecture 3......Page 30
Lecture 4......Page 36
Lecture 5......Page 44
Lecture 6......Page 52
Lecture 7......Page 60
Lecture 8......Page 70
Lecture 9......Page 80
Linear and Cubic Splines......Page 92
Lecture 10......Page 94
Lecture 11......Page 106
Eigensystems......Page 116
Lecture 12......Page 118
LECTURE 13......Page 128
Lecture 14......Page 138
Lecture 15......Page 148
Lecture 16......Page 158
Lecture 17......Page 164
Lecture 18......Page 170
Krylov Sequence Methods......Page 178
Lecture 19......Page 180
Lecture 20......Page 190
Lecture 21......Page 196
Lecture 22......Page 204
Lecture 23......Page 210
Lecture 24......Page 218
Iterations, Linear and Nonlinear......Page 226
Lecture 25......Page 228
Lecture 26......Page 236
Bibliography......Page 246
Index......Page 250
