## A particle method for first-order symmetric systems.(English)Zbl 0625.65084

Convergence and stability theorems are proved for a particle method for symmetric, hyperbolic systems. The algorithm relies on a well-chosen smoothing procedure to capture information travelling at speeds different from the particle velocities. The proof of convergence is based on the stability result and on a lemma from approximation theory.
Reviewer: G.Hedstrom

### MSC:

 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
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### References:

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