Combining high-order accuracy with non-oscillatory methods through monotonicity preservationt
We have extended the usual notions used in high-resolution methods. Rather than applying a single principle such as monotonicity or essentially non-oscillatory stencil selection, we hybridize multiple principles applying them where they are most effective. We define methods that blend high-order accuracy with essentially non-oscillatory methods when monotonicity conditions are violated. The methods can be defined with a number of variants leading to results with differing properties. We also focus on the impact of the selection of the high-order accurate stencil on the overall method. Published in 2005 by John Wiley W Sons, Ltd.
high-order non-oscillatory monotonicity preserving