Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations

摘要: We present new implicit-explicit (IMEX) Runge Kutta methods suitable for time dependent partial differential systems which contain stiff and non terms (i.e. convection-diffusion problems, hyperbolic with relaxation). Here we restrict to diagonally implicit schemes emphasize the relation splitting asymptotic preserving schemes. Accuracy stability properties of these are studied both analytically numerically.