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Numerical bounds for inverses of linear operators. (English) Zbl 1265.65267

Summary: An effective way of computing bounds for inverses of linear operators is discussed. It involves computing very fast a bound for the inverse of linear Volterra and Fredholm integral operators. This approach covers a wide class of ordinary and partial initial and boundary value problems. It is demonstrated that this concept is feasible in the framework of computer algebra systems.

MSC:

65R20 Numerical methods for integral equations
45P05 Integral operators
68W30 Symbolic computation and algebraic computation
45B05 Fredholm integral equations
45D05 Volterra integral equations
45A05 Linear integral equations

Software:

PASCAL-XSC; INTPAK
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