TL;DR
This paper presents a rigorous convergence analysis of parareal for this nonlinear matrix gradient flow when classical numerical schemes are used as the fine and coarse propagators, and derived superlinear convergence result provides a more comprehensive theoretical characterization of discretization- and problem-dependent quantities.
This paper proposes an inexact interior-point relaxation method (iIPRM) for LO problems that does not require its iterates to remain strictly positive and employs a sparse preconditioner tailored to the structure of the normal matrix.
This paper introduces a novel, efficient class of parallel direct and indirect iterative schemes to solve general obstacle and free boundary value problems. The uniqueness of the solution for the direct parallel method is established under the assumption that the model problem yields an $M$-matrix. The convergence anal...
A stable sequential quadratic numerical optimization technique is proposed to compute critical flutter speeds without resorting to complex algebra. The solution of the traditional eigenproblem stated in the frequency domain, and whose complex conjugate eigenvalues provide insights on the stability of the dynamic aero...
This work reformulates the problem to a sequence of augmented Lagrangian subproblems, each handled by a first-order inner solver through a proximal averaged quasi-Newton algorithm with adaptive linesearch, thus enabling efficient forward optimization.
The proposed reformulation of the total scaled-gradient variation regularizer achieves PSNR and SSIM competitive with or superior to representative variational methods, especially at high noise levels, and improves the structural reconstruction under dense and sparse scanning.
In science and engineering, many physical laws and scientific principles naturally arise as variational problems of minimizing an energy functional over an appropriate functional space. In many cases, it is more advantageous to directly discover the minimizer of the energy functional than to solve the associated Euler-...
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