In this paper, the optimal control problem of parabolic integro-differential equations is solved by gradient recovery based two-grid finite element method. Piecewise linear functions are used to ...

Abstract: This article aims at proposing a multisystem gradient method (MSGM) for solving the integrated nonlinear optimal control problem with multiple systems and unspecified terminal time. This ...

Interpreting gradient methods as fixed-point iterations, we provide a detailed analysis of those methods for minimizing convex objective functions. Due to their conceptual and algorithmic simplicity, ...

Least-squares reverse-time migration (LSRTM) can overcome the problems of low resolution and unbalanced amplitude energy of deep formation imaging in reverse-time migration (RTM); hence, it can obtain ...

Abstract: It is well known that the minimization of a smooth function f(x) is equivalent to minimizing its gradient norm ‖g(x)‖ 2 in some sense. In this paper, we propose a modified steepest descent ...

In this paper, three new hybrid nonlinear conjugate gradient methods are presented, which produce suf?cient descent search direction at every iteration. This property is independent of any line search ...