BK-factorization as a link between symbolics and numerics
Sprache des Vortragstitels:
BK-factorization is a new constructive pure algebraic factorization method for bivariate linear partial differential operators of arbitrary order. as a by-product of BK-factorization, general invariants are constructed (generalization of laplace invariants) leading to construction of factorization for the whole family of equivalent operators. In cases when exact factorization does not exist, BK-factorization allows to construct approximate factorization of a given differential operator leading to drastic simplification of numerical simulations with the linear partial differential equations of higher order.