Changsha Hunan, 410073
China
National University of Defense Technology
physics informed neural networks, conserved quantities, weighted loss function, numerical experiments
Convective Allen--Cahn equation, Stabilization technique, Exponential Runge--Kutta scheme, Maximum bound principle
Multiscale elliptic equations, Randomized radial basis function neural network, Domain decomposition, Weak formulation, Least squares method.
parametric relaxation Runge--Kutta, large time steps, without delay, conservation law
Linear radiative transfer equations, Variable Eddington factor, Physics informed neural networks, Asymptotic preserving.
Shallow water equations, Wet-dry fronts, Semi-implicit hybrid nonstaggered central and Godunov-type scheme, Well-balancing, Positivity preserving
Relaxation technique, Wavelet collocation method, Semilinear Klein-Gordon equation, Energy-preserving schemes