Dai, Jiazun; Wang, Xiaohua A large time-step second order accurate TVD difference scheme for hyperbolic conservation laws. (Chinese. English summary) Zbl 0742.65070 J. Nanjing Aeronaut. Inst. 21, No. 3, 104-113 (1989). The authors propose a large time-step \((2k+3)\)-point explicit second order accurate total variation diminishing difference schemes for the single hyperbolic conservation law. Then by using the linearization technique by P. L. Roe [J. Comput. Phys. 43, 357-372 (1981; Zbl 0474.65066)] they extend the new scheme to hyperbolic systems of conservation law. Numerical experiments show that the results are satisfactory. Reviewer: Qin Mengzhao (Beijing) MSC: 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35L65 Hyperbolic conservation laws Keywords:numerical example; second order accurate total variation diminishing difference schemes; conservation law Citations:Zbl 0474.65066 PDFBibTeX XMLCite \textit{J. Dai} and \textit{X. Wang}, J. Nanjing Aeronaut. Inst. 21, No. 3, 104--113 (1989; Zbl 0742.65070)