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A large time-step second order accurate TVD difference scheme for hyperbolic conservation laws. (Chinese. English summary) Zbl 0742.65070

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.

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

Citations:

Zbl 0474.65066
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