Sparse-regularized high-frequency enhanced neural network for solving high-frequency problems.

A phase velocity preserving fourth-order finite difference scheme for the Helmholtz equation with variable wavenumber.

Numerical analysis of the optimal 9-point finite difference scheme for the Helmholtz equation.

Multi-Grade Deep Learning for Partial Differential Equations with Applications to the Burgers Equation.

Sparse Deep Neural Network for Nonlinear Partial Differential Equations.

A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation II: Efficient algorithm for the discrete linear system.

A dispersion minimizing finite difference scheme for the Helmholtz equation based on point-weighting.

A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation.