We develop the ∂¯ -approach to inverse scattering at fixed energy in dimensions d ≥3 of Beals and Coifman (1984) and Henkin and Novikov (1987). As a result, we propose a stable method for nonlinear approximate finding a potential v from its scattering amplitude f at fixed energy E > 0 in dimension d = 3. In particular, in three dimensions, we stably reconstruct n -times smooth potential v with sufficient decay at infinity, n > 3, from its scattering amplitude f at fixed energy E up to O(E−(n−3−ε)/2) in the uniform norm as E → +∞ for any fixed arbitrary small ε > 0 (i.e., with almost the same decay rate of the error for E → +∞ as in the linearized case near zero potential).