Abstract
We give sufficient conditions under which the convergence of finite difference approximations in the space variable of possibly degenerate second order parabolic and elliptic equations can be accelerated to any given order of convergence by Richardson's method.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1431-1458 |
| Number of pages | 28 |
| Journal | Mathematics of Computation |
| Volume | 80 |
| Issue number | 275 |
| DOIs | |
| State | Published - 2011 |
Keywords
- Cauchy problem
- Extrapolation to the limit
- Finite differences
- Richardson's method
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