Math 2.0

Partial differential equations First-order equations and conservation laws Concept

Glimm scheme

Summary

The Glimm scheme, or random choice method, builds approximate solutions of a hyperbolic system of conservation laws in one space dimension. It pieces together exact solutions of Riemann problems on a grid and samples them at random points. Glimm used it in 1965 to prove global existence of weak solutions for initial data of small total variation. See the definition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Riemann_problem
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