A wavelet adaptive Newton method for the solution of nonlinear equations
β Scribed by M. Verani
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 395 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
For the solution
of nonlinear equations, we present an adaptive wavelet scheme, which couples an inexs& Newton method and the idea of nonlinear wavelet approximation.
In particular, we obtain a result of quadrAtic convergence.
π SIMILAR VOLUMES
Building on the method of Kantorovich majorants, we give convergence results and error estimates for the two-step Newton method for the approximate solution of a nonlinear operator equation.
This work develops fast and adaptive algorithms for numerically solving nonlinear partial differential equations of the form u t Ο Any wavelet-expansion approach to solving differential L u Ο© N f (u), where L and N are linear differential operators and equations is essentially a projection method. I