Building Adaptive Multiresolution Schemes within Harten's Framework
VALENCIA UNIV (SPAIN) DEPT OF APPLIED MATHEMATICS
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We consider the cell-average framework described by A. Harten in 5, and build the prediction operator using two nonlinear interpolation techniques. We test the resulting nonlinear, adaptive, multiresolution scheme, and compare it with a linear scheme of the same accuracy. The nonlinear prediction processes we develop can also be used in the context of iterative refinement. Numerical tests show that this is also a viable alternative for piecewise smooth data.
- Numerical Mathematics
- Theoretical Mathematics