ISSN:
1572-9125
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A simple algorithm is described for inverting the operatorD x D y (D x andD y here and subsequently denote partial differentiation with respect tox andy respectively) which occurs in the iterative solution of the equationD x D y f (x, y)=g (x, y, f, D x f, D x 2 f,D x D y f, D y 2 f) when boundary values off(x,y) are given along the sides of the rectangle in thexy-plane whose corners are at the points (a,b); (a+(n+1)k,b); (a+(n+1)k,b+(n+1)h); (a,b+(n+1)h).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02024783
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