Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review Abstract. Kinetic and hyperbolic equations contain small scales (mean free path/time, Debye length, relaxation or reaction time, etc.) that lead to various different asymptotic regimes, in which the classical numerical approximations become prohibitively expensive. Asymptotic-preserving (AP) schemes are...

Elliptic and hyperbolic cylindrical curves satisfying Tzitzeica condition are obtained via the solution of the forced harmonic equation. Mathematics Subject Classification: 53A04, 34A05.

This paper is concerned with the solvability and uniform stability of a hyperbolic equation with spatially varying coefficients of viscosity and elasticity and boundary damping.