2 papers
math.OC2025
An adaptive adjoint-oriented neural network for solving parametric optimal control problems with singularities
Zikang Yuan, Guanjie Wang, Qifeng Liao
In this work, we present an adaptive adjoint-oriented neural network (adaptive AONN) for solving parametric optimal control problems governed by partial differential equations. The…
math.NA2025
An alternating low-rank projection approach for partial differential equations with random inputs
Guanjie Wang, Qifeng Liao
It is known that standard stochastic Galerkin methods face challenges when solving partial differential equations (PDEs) with random inputs. These challenges are typically attribut…