We construct a space-centered self-adjusting hybrid difference method for one-dimensional hyperbolic conservation laws. The method is linearly implicit and combines a newly developed minimum dispersion scheme of the first order with the recently developed second-order scheme of Lerat. The resulting
Error Analysis of an Adaptive Implicit Scheme for Hyperbolic Conservation Laws
β Scribed by de Loubens, Romain; Riaz, Amir; Tchelepi, Hamdi A.
- Book ID
- 118191064
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 420 KB
- Volume
- 31
- Category
- Article
- ISSN
- 1064-8275
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π SIMILAR VOLUMES
In this paper, a class of essentially conservative scheme are constructed and analyzed. The numerical tests and theoretical analysis show that although these schemes can not be written in the usual conservation form, but the numerical solutions obtained with these schemes can converge, as the mesh s
significantly different wave speeds. For those phenomena mainly associated with waves which have relatively small An iterative implicit-explicit hybrid scheme is proposed for hyperbolic systems of conservation laws. Each wave in a system may be wave speeds, a small time step in an explicit scheme i