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