Spectral integrated neural networks with large time steps for 2D and 3D transient elastodynamic analysis.

Enriched physics-informed neural networks for dynamic Poisson-Nernst-Planck systems.

Physics-informed radial basis function network based on Hausdorff fractal distance for solving Hausdorff derivative elliptic problems.

A spatio-temporal radial basis function collocation method based on Hausdorff fractal distance for Hausdorff derivative heat conduction equations in three-dimensional anisotropic materials.

A novel semi-analytical meshless method for the thickness optimization of porous material distributed on sound barriers.

Spectral integrated neural networks (SINNs) for solving forward and inverse dynamic problems.

Boundary integrated neural networks (BINNs) for acoustic radiation and scattering.

Adaptive physics-informed neural networks for dynamic thermo-mechanical coupling problems in large-size-ratio functionally graded materials.

Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries.

Singular boundary method for 2D and 3D acoustic design sensitivity analysis.

A semi-analytical and boundary-type meshless method with adjoint variable formulation for acoustic design sensitivity analysis.

Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries.

Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains.

Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains.

Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations.

A meshless singular boundary method for transient heat conduction problems in layered materials.

A novel space-time meshless method for nonhomogeneous convection-diffusion equations with variable coefficients.

A Trefftz/MFS mixed-type method to solve the Cauchy problem of the Laplace equation.

Nonlinear wave inverse source problem solved by a method of m-order homogenization functions.

A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary.

A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain.

An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation.

Optimal sources in the MFS by minimizing a new merit function: Energy gap functional.

Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation.

Trefftz energy method for solving the Cauchy problem of the Laplace equation.

Three-dimensional thermal stress analysis using the indirect BEM in conjunction with the radial integration method.