New error bounds for the penalty method and extrapolation
β Scribed by J. T. King
- Publisher
- Springer-Verlag
- Year
- 1974
- Tongue
- English
- Weight
- 553 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Ax = b is a system of linear equations where the matrix A is symmetric positive definite and consistently ordered. A bound for the norm of the errors sk = I -xk of the MAOR method in terms of the norms of 6k = zk -zk-' and 6&l = zk+l -xk and their inner product is derived, lkkll:: 5 $ { (I( wl -l&2
New error bounds for the well-known Simpson's quadrature rule are derived. If we use these bounds then we can apply the Simpson's rule to functions whose first, second or third derivatives are unbounded below or above. Furthermore, these error bounds can be (much) better than some recently obtained