Acta Numerica surveys annually the most important developments in numerical mathematics and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board to report the most important and timely developments in a manner accessible to the wider community of professionals with an interest in scientific computing. Acta Numerica volumes have proved to be a valuable tool not only for researchers and professionals wishing to develop their understanding of numerical techniques and algorithms but also for instructors needing an advanced teaching aid.
Author(s): Arieh Iserles
Publisher: Cambridge University Press
Year: 2003
Language: English
Pages: 518
Contents ......Page 5
Survey of meshless and generalized finite element methods: A unified approach ......Page 7
Continuous dependence and error estimation for viscosity methods ......Page 133
Computational high frequency wave propagation ......Page 187
Model reduction methods based on Krylov subspaces ......Page 273
A mathematical view of automatic differentiation ......Page 327
Geometric numerical integration illustrated by the Stormer–Verlet method: ......Page 405
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems ......Page 457
