Round-off errors in Richardson's extrapolation method
β Scribed by S.Ya. Vilenkin; A.N. Kalashyan
- Publisher
- Elsevier Science
- Year
- 1987
- Weight
- 197 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
In several recent publications, numerical integrators based on Jacobi elliptic functions are proposed for solving the equations of motion of the rigid body. Although this approach yields theoretically the exact solution, a standard implementation shows an unexpected linear propagation of round-off e
## Abstract Richardson's extrapolation is applied to total variation diminishing (TVD) RungeβKutta schemes in order to improve their accuracy without doubling their computational cost as classical highβorder (more than three) TVD schemes. The obtained schemes preserve the total variation bounded (T