Mathematical analysis

UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction

Deep Learning-Based Numerical Methods for High-Dimensional Parabolic Partial Differential Equations and Backward Stochastic Differential Equations

A general theory for bandgap estimation in locally resonant metastructures

Design and numerical validation of quasi-zero-stiffness metamaterials for very low-frequency band gaps

On integrability of the time fractional nonlinear heat conduction equation

A novel solution of fractional order heat equation for photothermal waves in a semiconductor medium with a spherical cavity

Thermal waves based on the thermomass model due to mechanical damage with memory

Dynamic response of a half-space with time-fractional heat conduction and nonlocal strain theory

Computational analysis of memory-dependent nonlocal response due to ramp-type heating under thermomass thermoelasticity theory

Element-based Peridynamics for Heat Conduction Problems of Isotropic and Anisotropic Materials With Crack Propagation

On the generalized flexothermoelasticity of a microlayer

Nonlocal modeling of transient heat conduction in anisotropic functionally graded materials by using peridynamic operator method