Jin, Qinian2015-12-131563-504Xhttp://hdl.handle.net/1885/70871In this article, we solve nonlinear inverse problems by an evolution equation method which can be viewed as the continuous analogue of the Gauss-Newton method. Under certain conditions we prove the convergence and derive the rate of convergence when the discrepancy principle is coupled.Keywords: convergence; evolution equation based on Gauss-Newton method; nonlinear inverse problems; rates of convergence; the discrepancy principle201310.1080/00036811.2011.6296072016-02-24