A numerical method of solving inverse problems for nonlinear differential equations (Q1324015)

A system (1) \(x'= f(t,x,u)\), \(x(t_ 0)= x^ 0\) is studied, where \(u\) is a finite-dimensional parameter vector. A numerical method is given for solving the inverse problem of (1), i.e. the problem of determining \(u\) from the known function \(x\). The method has quadratic rate of convergence and it uses the quasilinearization of (1) and the theory of sensitivity.