Department of Mathematics2024-11-0919940266-561110.1088/0266-5611/10/5/007http://dx.doi.org/10.1088/0266-5611/10/5/007https://hdl.handle.net/20.500.14288/8033A general algorithm for the direct inversion of data to yield unknown functions entering physical systems is presented. of particular interest are linear and non-linear dynamical systems. The potential broad applicability of this method is examined in the context of a number of coefficient-recovery problems for partial differential equations. Stability issues are addressed and a stabilization approach, based on inverse asymptotic tracking, is proposed. Numerical examples for a simple illustration are presented, demonstrating the effectiveness of the algorithm.Mathematics, appliedPhysics, mathematicalJournal ArticleA1994PN04600008Q111112