Beam and Warming scheme
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In numerical mathematics, Beam and Warming scheme or Beam–Warming implicit scheme introduced in 1978 by Richard M. Beam and R. F. Warming, is a second order accurate implicit scheme, mainly used for solving non-linear hyperbolic equation. It is not used much nowadays.
This scheme is spatially factored,non iterative, ADI scheme and uses Euler implicit to perform the time Integration. The algorithm is an delta-form, linearized through implementation of a Taylor-series. Hence Observed as increments of the conserved variables. In this an efficient factored algorithm is obtained by are evaluating the spatial cross derivatives explicitly. This allows for direct derivation of scheme and efficient solution using this computational algorithm. The efficiency is because although it is three-time-level scheme,but requires only two time levels of data storage. This results in unconditional stability. It is centered and needs the artificial dissipation operator to guarantee numerical stability.〔
The delta form of equation produced has an advantage property of steady state (if existing) independent of the size of the time step.
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