Improving the performances of implicit schemes for hyperbolic equations. (English) Zbl 0908.65080
Summary: Considering that, in the discretization of linear differential operators, one can choose suitable nodes of super-convergence for the evaluation of the residual, we apply this idea to first-order operators associated with the approximation of hyperbolic equations, in order to improve some known implicit schemes.
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 35L45 | Initial value problems for first-order hyperbolic systems |
| 65Y20 | Complexity and performance of numerical algorithms |
