Runge–Kutta Residual Distribution Schemes

摘要: We are concerned with the solution of time-dependent non-linear hyperbolic partial differential equations. investigate combination residual distribution methods a consistent mass matrix (discretisation in space) and Runge---Kutta-type time-stepping time). The introduced blending procedure allows us to retain explicit character procedure. resulting second order accurate provided that both spatial temporal approximations are. proposed approach results global linear system has be solved at each time-step. An efficient way solving this is also proposed. To test validate new framework, we perform extensive numerical experiments on wide variety classical problems. comparison our other multi-stage schemes given.