## Title data

Bauer, Florian ; Grüne, Lars ; Semmler, Willi:

**Adaptive spline interpolation for Hamilton–Jacobi–Bellman equations.**

*In:* Applied Numerical Mathematics.
Vol. 56
(September 2006)
Issue 9
.
- pp. 1196-1210.

ISSN 1873-5460

DOI: https://doi.org/10.1016/j.apnum.2006.03.011

## Abstract in another language

We study the performace of adaptive spline interpolation in semi--Lagrangian discretization schemes for Hamilton--Jacobi--Bellman equations. We investigate the local approximation properties of cubic splines on locally refined grids by a theoretical analysis. Numerical examples show how this method performs in practice. Using those examples we also illustrate numerical stability issues.