Alternative Stencil Management

Starting from spatial derivative 32/3f2, for ( e (x, y, z), its higher order approximant, in accordance with the analysis of [27], is expressed as 

Coefficients c ajS and cb,s are related to c s in order to yield optimal weighting values or certain combinations that follow problem-dependent criteria. The prior operators may also receive the more convenient form of 

Some representative solutions for M= 1, 2,. .., 6 are summarized in Table 5.2. Observe that coefficients x are different from those presented in Table 2.1 for the ordinary higher order 

TABLE 5.2 Coefficients / , for Higher Order Spatial Approximations  

FDTD schemes. Actually, these values constitute the basic contribution of (5.32) in the systematic design of robust spatial approximations. 

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