Anybody can explain why WENO scheme is not considered to be TVD.
Is there any implication of this fact on reconstruction data having large gradients ?
What about MPWENO, is this method abstain the emergence of oscillation in the vicinity of large gradients when using WENO?
Hatem Ksibi
weno is a non-oscillatory schema therefore, it can be applicated especially for a stable calculation with "zero risk" of numerical oscillation. But TVD scheme (total variation diminishing) is appreciated for solving nonlinear highly oscillatory problems.
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