We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the Rate of Convergence of Projection-Difference Methods for Smoothly Solvable Parabolic Equations.
- Authors
Smagin, V. V.
- Abstract
A linear parabolic problem in a separable Hilbert space is solved approximately by the projection-difference method. The problem is discretized in space by the Galerkin method orientated towards finite-dimensional subspaces of finite-element type and in time by using the implicit Euler method and the modified Crank-Nicolson scheme. We establish uniform (with respect to the time grid) and mean-square (in space) error estimates for the approximate solutions. These estimates characterize the rate of convergence of errors to zero with respect to both the time and space variables.
- Subjects
HILBERT space; PARABOLA; EQUATIONS; ALGEBRA; MATHEMATICS; BANACH spaces
- Publication
Mathematical Notes, 2005, Vol 78, Issue 5/6, p841
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-005-0189-6